The graph that represents the solution to the inequality −0.96 is greater than or equal to the product of a number and 0.3 number line with a closed circle on point negative 3.2 and arrow shaded to the left
What is the graph?Generally, To solve this inequality, we can start by multiplying both sides by the reciprocal of 0.3, which is 3. Doing so gives us the inequality:
−0.96 * 3 >= x * 0.3 * 3
Simplifying the right side gives us:
−0.96 * 3 >= x * 0.9
Then we can simplify both sides further:
−2.88 >= x * 0.9
Dividing both sides by 0.9 gives us:
−3.2 >= x
The solution to this inequality is all values of x that are less than or equal to -3.2.
The graph of this inequality would be a number line with a solid dot at -3.2, and a solid line extending to the left of -3.2, as shown below:
(graph with number line and solid dot at -3.2, and solid line extending to the left)
This graph represents the solution to inequality.
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Which graph represents a linear function?
Answer:
the 4th graph
Step-by-step explanation:
Linear functions are straight lines.
Are these triangles similar
Answer: No
Step-by-step explanation:
The ratio of the lengths of the shortest sides is [tex]\frac{6}{4}=\frac{3}{2}[/tex].
The ratio of the lengths of the longest sides is [tex]\frac{10}{7}[/tex].
Since these ratios are not equal, the triangles are not similar.
Through a given point not contained in a given line, there exists ___ ___ line parallel to the given line. (two words)
Through a given point not contained in a given line, there exists exactly one line parallel to the given line.
What are parallel lines?In Mathematics, parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and they can never meet. In Geometry, two (2) lines are parallel under the following conditions:
m₁ = m₂
Note: m represents the slope.
This ultimately implies that, two (2) lines would be parallel to each other when the slope (m₁) of the first line is equal to the slope (m₂) of the second line.
According to the Parallel postulate, there is always exactly one line that is parallel to a given line in the same plane when a point and a line are given, provided that the point is not on that line.
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How do I solve for x?
Answer:
x = 5
Step-by-step explanation:
Since this is an isosceles triangle, the two angles opposite the congruent sides are also congruent. That means that ∠A and ∠C both equal 73°, you don't even need to solve the equation with y in it. Since all the angles in a triangle add up to 180°, we know that ∠B is equal to [tex]180-(73*2)[/tex], which is 34. So if [tex]34=6x+4[/tex], then you can solve to get [tex]x=5[/tex].
Each X=.........student
Answer:
x = 1 student.
Step-by-step explanation:
A table of values is shown.
Show work
This is my method.
Take two points.
(X₁ = -8, Y₁ = 8)
(X₂ = -3, Y₂ = 4.875 or 4 7/8)
Equation of a straight line:
y = mx + b ------(i)
Step 1: Calculating Slope (m).
[tex]\frac{y_2-y_1}{x_2-x_1 }[/tex]
[tex]\frac{4.875-8}{-3--8}[/tex]
[tex]\frac{-3.12500}{5}[/tex]
[tex]m=-0.625[/tex]
Now putting value of m in equation (i)
y = -0.625x + b -----(ii)
Step 2: Calculating Y-intercept (b).
Lets choose the first point, (-8,8) for calculating y-intercept:
y = mx + b
8 = -0.625(-8) + b
8 = 5 + b
3 = b
b = 3
Now putting value of b in equation (ii)
y = -0.625x + 3
This is slope-intercept form, now let's convert to point-slope formula.
⇒ [tex]y-2.375=-0.625(x-1)[/tex]
Piper works in a department store selling clothing. She makes a guaranteed salary of $250 per week, but is paid a commision on top of her base salary equal to 15% of her total sales for the week. How much would piper make in a week in which she made $2050 in sales? how much would piper make in a week if she made xx dollars in sales?.
If a piper will make $2050 in sales in a week than she will get 557.5$ including her commission and salary.
What is commission in money?A sales commission is a payment made to an employee after they successfully complete a task, typically selling a predetermined volume of goods or services. Sales commissions are a common incentive used by employers to boost employee productivity. A commission can be paid instead of or in addition to a salary.
As she makes a guaranteed salary of $250 per week
and paid a commission equal to 15% of her total sales for the week
if she made $2050 in sales in a week
so calculating it 15% commission
=(15x2050)/100
=307.5$
now adding the salary with commission:
=$250+307.5$
=557.5$
so this is the amount piper make will in this a week.
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Answer: it’s raining tacosss. From out of the skyyYYy.
Step-by-step explanation:kit tu litter
a lemonade can have a radius of 1.5 in and a height of 9 in the can is made from a sheet of aluminum that weighs 0.02 Oz per square inch you received $0.35 per pound of aluminum that you recycle how much do you earn recycling 38 cans
Answer:
1. 24 cans/lb x 15,000 lb/trailer = 360,000 cans/trailer
2. Answer will depend on your price per can or per pound. For example, if price is 60 cents per pound: $0.60/lb x 15,000 lb = $9,000
3. 15,000 lbs/trailer / 30 lbs/collector = 500 can collectors/trailer
4. 15,000 lbs/trailer / 800 lbs/bale = 18 complete bales (and 3/4 of another bale)/trailer
5. 24 cans/lb x 800 lb/bale = 19,200 cans / bale
6. 100 bales/boxcar x 800 lbs/bale = 80,000 lb. cans / boxcar
7. 100 bales/boxcar x 19,200 cans/bale = 1,920,000 cans / boxcar
8. Answer will depend on your price per can or per pound. For example, if price is 60 cents per pound: $0.60/lb x 80,000 lb/boxcar = $48,000/boxcar
Help me asp please thanks before 11:59 do 9 and 10
Answer:
9) compress
10) translate right 8 units
Step-by-step explanation:
Write an equation of the line that passes through $\left(1,2\right)$ and is parallel to the line $y=-5x+4$.
2 = -5(1) + b is equation of the slope-intercept form of line .
What does math's slope intercept form mean?
A line's equation can be written in the slope-intercept form such that the slope (steepness) and y-intercept (where the line crosses the vertical y-axis) are instantly visible.
This form is frequently known as the y = mx + b form.
y = mx + b
Parallel lines have the same slope, so
m = -5
y = -5x + b
Use the given point to find b.
2 = -5(1) + b
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The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 2011, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, estimate the calendar year in which the number of new cases would reach 1141.
Years since 2011 (x) New Cases (y)
0 814
1 825
2 854
3 869
4 947
A linear regression equation that represents this set of data is y = 31x + 799.8.
The calendar year in which the number of new cases would reach 1141 is 2022.
How to write the linear regression equation?In this scenario, the Year since 2011 (x) would be plotted on the x-axis of the scatterplot while the New cases (y) would be plotted on the x-axis of the scatterplot.
On the Excel sheet, you should right click on any data point on the scatterplot, select format trend line and then tick the box to display an equation for the linear regression (line of best fit) on the graph.
By critically observing the scatterplot (see attachment) which models the relationship given in the table for the Year since 2011 (x) and the New cases (y), an equation for the linear regression is given by:
y = 31x + 799.8
Now, we can estimate the calendar year in which the number of new cases would reach 1141:
1141 = 31x + 799.8
31x = 1141 - 799.8
31x = 341.2
x = 341.2/31
x = 11.0
Calendar year = 2011 + 11
Calendar year = 2022.
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What is the slope of the line that passes through the points (-6, 5) and (-3, 20)?
Write your answer
in simplest form.
Answer:
5
Step-by-step explanation:
Slope=y2-y1/x2-x1
20-5/-3-(-6)
20-5/-3+6
15/3
=5
What is the equation of the line that is perpendicular to the given line and passes through the point (3, 4)? y = –one-thirdx 5 y = –one-thirdx 3 y = 3x 2 y = 3x − 5
The equation of line which is perpendicular to the given line and passes through the points ( 3, 4) is y = 3x + 5
What is slope intercept form ?The slope-intercept form is the way to write a line's equation so that the y-intercept (where the line crosses the vertical y-axis) and slope (steepness) are instantly visible.
The slope intercept form of a straight line equation can be written as :
y = mx + c
Where
m = slope = (change in the y-value) axis's / (change in the value of x in the x axis)
The given line's equation is
y = - x/3 + 5
Slope = - 1/3 as compared to the slope intercept form.
The slope of one line is equal to the negative reciprocal of the slope of the other line if two lines are perpendicular.
As a result, the slope of the line through (3, 4) is 3.
In order to calculate the intercept, we would replace m with 3, x with 3 and y with 4
The equation becomes
4 = 3 × 3 + c
c = -5
putting the value of c and m in the slope intercept form equation
We get
y = 3x - 5
The equation of line which is perpendicular to the given line and passes through the points ( 3, 4) is y = 3x + 5
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Answer:
A.) y = –3x + 4 and y = –3x – 4
Step-by-step explanation:
The first equation of a system of equations is y = -3x + 4 and the second equation is y = -3x - 4.
We can see that both equations have the same slope of -3 and have different y-intercepts of 4 and -4, respectively.
Because the two lines are parallel, they will never intersect and will overlap each other, resulting in an infinite number of solutions.
Therefore, the system of equations y = –3x + 4 and y = –3x – 4 has infinitely many solutions.
Need help giving Brainly to the answer. thank u
Answer: 26
Step-by-step explanation:
let t = thomas's age
104 = (3t) + t
104 = 4t
t = 26
Answer: 26 years old
Step-by-step explanation:
We will write a system of equations to help us solve, let h be equal to Huilan's age and t be equal to Thomas's age.
h = 3t
h + t = 104
Now, we will solve by substituting the first equation into the second.
Then, we will simplify the equation on the left side by combining like terms and dividing both sides of the equation by 4 to isolate the variable.
h + t = 104
(3t) + t = 104
4t = 104
t = 26
A French class has students while a Spanish class has twice as many.
The Spanish class has nine more students than the French class. Find the value of f.
Students in french class are 9 and in Spanish are 18 , according to given equation.
What is arithmetic?
Arithmetic is an elementary a part of arithmetic that consists of the study of the properties of the normal operations on numbers—addition, subtraction, multiplication, division, mathematical operation, and extraction of roots.
Main body:
According to question:
A French class has students while a Spanish class has twice as many.
let french class have f students then Spanish class will have 2f students.
The Spanish class has nine more students than the French class.
which means
2f - f = 9
f = 9
hence students in french class are 9 and in Spanish are 18 .
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A triangle has angle measurements of 2x,4x+6,and x-15.what is the value of x
The required value of x of a triangle is 27°.
What is a triangle?
A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.
Given, angle measurements of 2x, 4x+6, and x-15
Based on the definition of a triangle, the sum of all angles will be 180 degrees.
So, 2x + 4x+6 + x-15 = 180°
or, 7x - 9 = 180°
or, 7x = 189°
or, x = 189/7 = 27°
Hence, the required value of x of a triangle is 27°.
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Jesse the beetle crawls at a rate of 9 inches per minute, as modeled by the equation y=9x. His rate decreases by -8 inches per minute. Create two ordered pairs showing the distances he will crawl at 2 minutes and 7 minutes, respectively, at his new rate.
Sometimes, he may move backwards.
The two ordered pairs from the proportional relationship are given as follows:
2 minutes: (2,2).7 minutes: (7,7).What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
Initially, Jesse's rate was of 9 inches per minute, however, the rate decreased 8 inches per minute, then the constant of proportionality is obtained as follows:
k = 9 - 8 = 1.
Thus the proportional relationship that gives the distance that Jesse has crawled in x minutes is given as follows:
y = x.
Then the two ordered pairs are defined as follows:
2 minutes: (2,2), as when x = 2, y = x = 2.7 minutes: (7,7), as when x = 7, y = x = 7.More can be learned about proportional relationships at https://brainly.com/question/10424180
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The perimeter of a regular octagon with side s is 8s. James is making a planter shaped like an octagon to surround the base of his favorite oak tree. Each side of the planter will be 9 inches long.
What is the perimeter of the planter?
The perimeter of the planter 36s
How can determine the perimeter?The perimeter of a regular octagon with side s is 8s.Each side of the planter will be 9 inches long.
The length of a shape's outline is its perimeter. You must add the lengths of all four sides of a rectangle or square to determine its perimeter.
The distance around an object is called the perimeter. For instance, the yard of your home is fenced in. The fence's length serves as the perimeter.
The perimeter of a regular octagon with side s is 8s.
Each side of the planter will be 9 inches long.
so
9*4 =36
The perimeter of the planter is 36s.
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50 POINTS IF ANSWERED PLS!!!!!
triangle ABC is an isosceles triangle. find the missing angles and side measures.
Answer: Angle A= 70 degrees and AC= 12 cm.
Step-by-step explanation: Isosceles have two equal sides and angles. We can see this by the red lines and angle signs.
3)In the figure below
segments PM and AD are medians.
What is the length of segment AD?
A. 22.5
B. 10
C. 9
D. 7
Answer:
i think they are similar figures therefore AD/PM=AC/PR,16/24=x/15,AD=22.5
313,307,301,...
Find the 42nd term.
Answer:
ANS:- 67
Step-by-step explanation:
d = a2 - a1
a2 = 307, a1 = 313
d = 307 -313 = -6
an = a1 + (n - 1)d
a1 = 313, n = 42, d = -6
a42 = 313 + (42 -1)(-6)
a42 = 313 + (41)(-6)
a42 = 313 - 246
a42 = 67
The nth term of a sequence
The first three terms of the given sequence are 1, -3, and -7 respectively.
What are sequence and series?
An arrangement of numbers in a specific order is referred to as a sequence. The total of a sequence's components, on the other hand, is known as a series.
Given, the [tex]n^{th}[/tex] term of a sequence is: [tex]u_{n}[/tex] = 5 - 4n
We need to find the first three terms, then n= 1, 2, 3 respectively
So, first term, n = 1, [tex]u_{1}[/tex] = 5 - 4*1 = 5 - 4 = 1
second term, n = 2, [tex]u_{2}[/tex] = 5 - 4*2 = 5 - 8 = -3
third term, n = 3, [tex]u_{3}[/tex] = 5 - 4*3 = 5 - 12 = -7
Hence, the first three terms of the sequence are 1, -3, and -7 respectively.
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Mr frohock bought a watermelon that weighed 10. 25 pound. If ahe cut it inyo 5 piece of equal weight, jow many pound did each piece weigh?
In linear equation, 2.05 pound did each piece weight .
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Describe a linear example?
Any function that depicts a straight line on the coordinate plane is said to be linear. For instance, the equation y = 3x – 2 represents a straight line on a coordinate plane, indicating that it is a linear function.
This function can be expressed as f(x) = 3x - 2 since y can be replaced with f(x).
Mr frohock bought a watermelon that weighed 10. 25 pound..
10.25/5
= 2.05.
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Fill in the blanks to create an equation with infinite solutions:
7x + 19 = 4x + x - 12 +
Left hand side is equal to right hand side that is 7x+19 the missing term is 2x+31 we get equation as 7x+19= 4x+x-12+2x+31.
Given that,
We have to find the fill the blank of the equation with infinite solution is 7x+19= 4x+x-12+------
We know that,
Take the equation
7x+19= 4x+x-12+------
We have to find the missing terms so that the right hand side is equal to left hand side.
Right hand side is 7x+19
Left hand side is 4x+x-12+------
5x-12+----
To get 7x we have to add 2x and to get +19 we have to add 31 to left hand side.
5x-12+2x+31
7x+19
Therefore, Left hand side is equal to right hand side that is 7x+19 the missing term is 2x+31 we get equation as 7x+19= 4x+x-12+2x+31.
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If f(x) is a polynomial of degree four with leading coefficient 1 such that f(1) = 1, f(2) = 8 , f(3) = 27 and f(4) = 64 , then the value of f(5) is
The required value of the function at f(5) = 125, as of the given conditions.
Given that,
f(x) is a polynomial of degree four with a leading coefficient 1 such that f(1) = 1, f(2) = 8 , f(3) = 27, and f(4) = 64, then the value of f(5) is ot be determined.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
f(x) = x⁴/x
Put x = 5
f(x) = 5⁴ / 5 = 125
Thus, the required value of the function at f(5) = 125, as of the given conditions.
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what is 210/945 simplified
Answer:
The simplest form of 210/945 is 2/9
Step-by-step explanation:
The ratio of yellow marbles to purple marbles was 13 to 4. If there were 102 marbles in the bag, how many were yellow marbles?
The number of yellow marbles based on the given ratio will be 78.
What are the ratio and proportion?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.
A ratio is a comparison of two quantities. A proportion is an equality of two ratios.
Suppose, the number of yellow marbles is Y while purple marbles are P.
As per the given,
The ratio Y/P = 13/4
Total Y + P = 102
(13/4)P + P = 102
13P + 4P = 408
17P = 408
P = 24
And, Y = 102 - 24 = 78
Hence , The number of yellow marbles based on the given ratio will be 78.
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D Each figure in the sequence shown
is composed entirely of 1 x 1 shaded
squares. If the pattern is continued,
how many 1 x 1 shaded squares will
there be altogether in the first 21
figures?
+000
The total number of 1 x 1 shaded squares that there will be in the first 21 figures is of:
924.
How to obtain the total number of squares?The number of squares for each figure is given as follows:
(4, 8, 12, 16).
As the difference between consecutive terms of the sequence is constant, this sequence is an arithmetic sequence, with first term of 4 and common difference of 4.
The sum of the first n terms of an arithmetic sequence is given as follows:
[tex]S_n = \frac{n(a_1 + a_n)}{2}[/tex]
The parameters of the equation are given as follows:
n is the number of terms.[tex]a_1[/tex] is the first term.[tex]a_n[/tex] is the nth term.Applying the explicit form, the 21st term of the arithmetic sequence in this problem is given as follows:
[tex]a_{21} = 4 + 20 \times 4 = 84[/tex]
Hence the total number of squares in the first 21 figures is obtained as follows:
[tex]S_{21} = 10.5 \times (4 + 84) = 924[/tex]
Missing InformationThe figures are given by the image shown at the end of the answer.
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A figure is translated six units to the left and two units down. Which rule represents this translation?
(x,y) → (x+6, y + 2)
(x,y) → (x+6,y 2)
(x, y) → (x-6, y + 2)
(x, y) → (x-6, y-2)
Answer:
(x, y) → (x-6, y-2)
Step-by-step explanation:
When you translate to the left, you are subtracting.
When you translate downwards, you are also subtracting.
The same thing goes for the other way around!!
When you translate to the right, you are adding.
When you translate upwards, you are also adding.
Hope this helps!! :)
Factorise this expression as fully as possible
2xy^2 + 8y
Step-by-step explanation:
[tex]2xy^2 + 8y[/tex]
2y is the common factor so:
[tex]2y(xy + 4)[/tex]