The length of the rectangle is defined by [tex](x-1)\cdot \left(x-\frac{1}{3} \right)[/tex].
Geometrically speaking, the rectangle area is equal to the product of its base and its length. According to the statement the area is represented by a third order polynomial and width by a first order polynomial and, thus, length must be a second order polynomial.
By factor the polynomial we get the following roots:
[tex]A = 3\cdot x^{3}+14\cdot x^{2}-23\cdot x + 6[/tex]
[tex]A = (x+6)\cdot (x-1)\cdot \left(x-\frac{1}{3} \right)[/tex]
Then, the length of the rectangle is defined by [tex](x-1)\cdot \left(x-\frac{1}{3} \right)[/tex].
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Write an integer for each situation
1. A deposit of $40
2. A loss of 20 pounds
The triangles are congruent due to which criteria?
SAA
SAS
SSS
HL
Answer:
SAS is the answer
Step-by-step explanation:
Answer:
HL.
Step-by-step explanation:
Right triangles with the hypotenuse and one leg congruent
which quadratic inequality does the graph below represent?
y> or equal to x^2-3.
y< or equal to x^2+3.
y< or equal to x^2-3.
y> or equal to x^2+3
Answer:
y< or equal to x^2-3.
I hope it helps.
the sum of 2 integers is 61 and their difference is 29.
Answer:
16 and 45
Step-by-step explanation:
Just use guess and check, start with a number too low like 10+39=49. Then go up until you find the number or until you go over.
I got this homework packet , I did some of the questions but graphs are what I’m stuck on the most .
Answer:
For the first picture, I think it is C and the second one should be A.
Step-by-step explanation:
You use vertical lines and if it hits it multiple times it is not a function. Like if it hits two dots or something it is not a function. I hope that make sense, let me know if it doesn't.
Katherine Johnson is best known for her work on ________.
Answer:
Pretty sure she was best known for calculating flight paths of spacecraft.
Will mark brainly!! :)
If f(2) for f(x) = [tex]\frac{2}{x-1}[/tex]+6 is 8. then what is [tex]f^{-1} (8)[/tex]
Answer:
2
Explanation:
we get inverse functions by interchanging places of domain and range of the original fuction so rhe domain becomes a range and the range becomes a domain.
so if 2 belongs to the domain of the original fuction and its corresponding element in the range is 8, we simply interchange between 2 and 8 in order to solve the fuction without any subistitution in the original function.
Triangle ABC has two known angles. Angle A measures 55 degrees. Angle B measures 30 degrees. What is the measure of angle C?
Answer:
According to the properties of a triangle, all internal angles of a triangle must add up to 180 degrees.
Since we know A and B are 55 degrees and 30 degrees respectively, C = 180-55-30 = 95 degrees.
Thus, the measure of angle C is 95 degrees.
Suppose a normal distribution has a mean of 62 and a standard deviation of
4. What is the probability that a data value is between 56 and 64? Round your
answer to the nearest tenth of a percent.
Answer:
62.5%
Step-by-step explanation:
(56 - 62) / 4 = -1.5 z score = 0.0668
(64 - 62) / 4 = 0.5 z score = 0.6915
0.6915 - 0.0668 = 0.6247
Rounded this becomes 62.5%
The probability for the data value in between 56 and 64 is 62.5%.
What is z-score?
The z-score of a value is the count of the numbers of standard deviations between the value and the mean of set.
How to calculate z-score?z-score can be calculated by the formula
z = (x - μ)/σ
where,
μ is the mean
σ is the standard deviation
x is the data point
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur.
According to the given question
Mean of a normal distribution, μ = 62
standard deviation of a normal distribution, σ = 4
Now for the data value 56, the z-score will be
z = (56 - 62) / 4 = -1.5 z score = 0.0668
So, the area under normal distribution curve z = -1.5
P(z = -1.5) = 0.0668
Similarly,
For the data value 64, the z-score will be
z-score = (64 - 62) / 4 = 0.5
The area under normal distribution curve z = 0.5 is given by
P( z = 0.5) = 0.69
Therefore, the probability for the data value in between 56 and 64 is given by
0.6915 - 0.0668 = 0.6247 = 62.5%
Hence, the probability for the data value in between 56 and 64 is 62.5%.
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Triangles â–łABC and â–łDFG are similar. The lengths of the two corresponding sides are 1. 4m , and 56 cm. What is the ratio of the perimeters of these triangles ?.
Answer:
5 : 2
Step-by-step explanation:
The ratio of perimeters of similar triangles is the same as the ratio of any pair of corresponding sides. That ratio is given as ...
1.4 m : 56 cm = 140 cm : 56 cm = 5 : 2
The ratio of the perimeters of the triangles is 5 : 2.
_____
As a unit ratio, it is 2.5 : 1, or 2.5.
Which equations are true equations?
Select all correct answers.
24/2^2=50−62−8
56÷8+32=2⋅23
82−52=42−7
39−3⋅6=6⋅104+4
Answer: 24/2^2=50−62−8
Step-by-step explanation:
The equations which is true equation is 24/2² = 50−6²−8.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
1. 24/2² = 50−6²−8
LHS = 24/2² = 24/4 = 6
RHS = 50−6²−8 = 6
2. 56÷8+32=2⋅23
LHS = 56÷8+32 = 7 + 32 = 39
RHS = 2⋅23 = 46
3. 8²−5² =4²−7
LHS = 8²−5² = 39
RHS = 4²−7 = 21
4. 39−3⋅6=6⋅104+4
LHS = 39−3⋅6 = 35.4
RHS = 6⋅104+4 = 528
Hence, we can conclude that the equation 24/2² = 50 − 6² − 8 is true.
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Explanation of approximation, decimal place, significant figure
Answer:
im not an expert in math but i'll do my best:
1. an approximation is something that is almost, but not exactly something. for example, 5.02 is approximately 5. it's not EXACTLY 5, but it's around 5.
2. decimal place refers to the position of numbers after the decimal point. let's take the decimal number 7.89 for example. there are 2 numbers after the decimal point, which is 8 and 9. hence we say that 7.89 has 2 decimal places.
3. significant figure is kind of hard to explain, so i'll jump into the example straight away.
5.874 to 3 significant figures is 5.87. what i did was count 3 digits: starting from 5 to 7. to round to 3 significant figures, i look at the 4th digit, which is 4 in this case. if it's smaller than 5, i ignore everything past the digit 7, and leave the final answer as 5.87.
if the 4th digit is greater than or equal to 5, i add 1 to the 3rd digit THEN leave out all the numbers after the 3rd digit. (if this were the case, the answer would be 5.88)
lets take a trickier example, 0.064591
in this case i cannot start counting 3 digits starting from 0. i have to count starting from the number 6. the concept in this case is that the 1st significant figure cannot be a 0. in this case the answer to 3 significant figures would be 0.0646.
however, 0 can be a significant figure if it's after another number. for instance 0.90672
the 0 after the 9 would count as a significant figure because it's not the 1st significant figure in the number. however the 0 before the 9 would NOT count as one because 0 cannot be the 1st significant figure. the answer to 3 significant figures would be 0.907.
sorry this was so lengthy, i just hope this answers your question on what these are and how they work. good luck!
Work out m and c for the line: 2 y + 3 x = − 5
Answer:
m is -3/2
c is -5/2
Step-by-step explanation:
The standard linear equation is given by;
[tex]{ \tt{y = mx + c}}[/tex]
» m is the slope and c is the y-intercept
Then, our slope is;
[tex] { \tt{2y + 3x = - 5 }} \\ \\ { \tt{2y = - 3x- 5}} \\ \\ { \tt{y = - \frac{3}{2}x - \frac{5}{2} }}[/tex]
What is the value of y?
Answer : i believe 100 X is 13 Z is 12
Step-by-step explanation:
sorry if im wrong
86,400 seconds into day.please
[tex]\underline\mathtt\colorbox{gold}{1 day}[/tex]
Step-by-step explanation:
1440 minutes, 24 hours or 1 day
Its easy to check - - - Divide 86400 by 60(to make into minutes) =1440 minFurther. Divide 1440 by 60 (to make into hours) =24 hrsNow who doesn't know that 24 hours is 1 day?Philip has $5,774 in a savings account. The interest rate is 13%, compounded annually.
To the nearest cent, how much interest will he earn in 5 years?
(compound interest formula)
[tex] \sf \: I = P(1 + \frac{r}{n} {)}^{nt} - P \\ \sf = 5774(1 + \frac{13}{100} ) ^{1 \times 5} - 5774 \\ \sf= 5774 \times ( \frac{113}{100} ) ^{5} - 5774 \\ \sf= 10638.22 - 5774 \\ \sf = 4864.22[/tex]
Answer:
$4864.22 (approximate value)
Hope you could get an idea from here.
Doubt clarification - use comment section.
Lincoln middle school had a canned food drive. The 6th grader brought in 5.75
So the Lincoln middle school will have +5.75 pounds or ounces of ffod
Find the mean, median and more for the following data sets. (15, 13, 19, 17, 25, 13, 23, 18, 19, 17, 21)
Step-by-step explanation:
hope it will help you ....
A square with an area of 144cm is reduced by a factor of 1/3. How long are the new sides of the square?
Answer:
9.797. . .
Step-by-step explanation:
2/3 of 144 is 96
[tex]\sqrt{96} = 9.797...[/tex]
In his pocket, Hamid has $2.95 in dimes and quarters. If there are 16 coins in total, which system represents the number of dimes and quarters that Hamid has?
A. x + y = 16. 0.10 x + 0.25 y = 2.95.
B. x + y = 16. 0.05 x + 0.25 y = 2.95.
C. x + y = 2.95. 0.10 x + 0.25 y = 16.
D. x + y = 16. 0.01 x + 0.25 y = 2.95.
Answer:
A. x + y = 16; 0.10x + 0.25y = 2.95Step-by-step explanation:
Given:
Dime is $0.10, number of dimes is x, total of dimes = 0.10xQuarter is $0.25, number of quarters is y, total of quarters is 0.25yNumber of coins is 16:
x + y = 16Total amount is $2.95:
0.10x + 0.25y = 2.95Correct choice is A
FRUIT Lilly buys fresh fruit from a fruit stand. Apples cost $5 per pound and oranges cost $4 per pound. She has $40 to spend. The table shows the function relating the number of pounds of apples, x, and the number of pounds of oranges, y, Lilly could purchase.
Answer:
Step-by-step explanation:
8 lbs of apples on the x-intercept
10lbs of peaches on y-intercept
If 58 out of 100 students in a school are boys. Write decimal expressions for the part of the school that consists of boys.
(Hint: 58 is what percentage of 100?)
Answer:
58 out of 100 is
58/100
as a decmil that is
0.58
Hope That Helps!!!
4x+y=10 ( ?,-6)
Find the missing value. Show all work.
Answer:
(4 , -6) x = 4.
Step-by-step explanation:
Note that in a pair under ( X , Y) always consists of X as it's 1st element and Y as it's second element.
so now we know that ( ? , -6) has an X value which is unknown.
inorder to find X you'll simply need to use the Y value you're given which is Y = -6 from ( ? , -6)
now plot the y value into the equation
4X + Y = 10 , Y = -6
4X + (-6) = 10
4X + - 6 = 10 ...... we know that A + - B = A - B
4X - 6 = 10
now take -6 to the right side
when -6 is taken to the right side, it changes to +6
and so ..
4X = 10 + 6
4X = 16
now divide both sides by 4 to find X
4X / 4 = 16 / 4
4 the coefficient of X which is 4 cancels with out denominator which is now 4
X = 16 / 4
16 ÷ 4 = 4.
Question 14
Determine if the given lines are parallel or perpendicular or neither.
3y=2-x
y=-1/3x+4
Answer:
The given lines are parallel.
Step-by-step explanation:
3y=2-x
y=-1/3x+4
-------------
y=2/3-1/3x
y=-1/3x+2/3
y=-1/3x+4
----------------
Since the two lines have exact same slopes, it follows that these two lines are parallel.
ANSWER ASAP PLS
A line passes through the points (-6, 4) and (-2, 2). Which is the equation of the line?
A y=-3x+1
B x = 1/2x +7
C y=-2x-8
D y = 2x + 16
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
= (2-4)/(-2+6)
= -2/4
= -1/2
now
y=mx+c
4=-1/2(-6)+c (you can take any x and y from the given two points. I took from (-6,4)
or,4= 3+c
therefore, c=1
now
y=mx+c
y= -1/2x+1
or, y = 1-x/2
Can someone answer number 9 for and tell me if the others are correct i have a 64% in geometry trying to raise grade up to alteast 70%
Answer:
5, 6, 7, 8: correct
9: the Hi.nge theorem does not apply
Step-by-step explanation:
The Hi.nge theorem says that the side opposite the angle between two pairs of congruent sides is longer if the angle is larger. This theorem is applicable to problems 5-8, and your application is correct.
__
9) The Hi.nge theorem does not apply. The marked angles are not between the congruent sides. There is no necessary relation between the marked angles and the angles that are between the congruent sides, so no conclusion can be drawn regarding the relative lengths of AB and CD.
Select all the equations that have {7} as its solution set. 65−2x=6x+9 9−x=14x 3+4x=5x−4 x2+1=8x−5
Answer:
the answer is this hope it helps im not sure if its all right good luck.
Step-by-step explanation:
A. 65-2x=6x+9
B. 9-x=14x
C. 3+4x=5x-4
d is wrong
The first and third equations have {7} as their solution set.
What is an equation?It is a mathematical statement that is made up of two expressions connected by an equal sign.
The first equation is
65−2x=6x+9
Rearranging the above equation gives
8x = 65-9 = 56
i.e x = 7
Consider the second equation,
9−x=14x
i.e x = 9 / 15 = 0.6
The third equation is:
3+4x = 5x−4
i.e x = 7
The last equation is
x^2+1 = 8x−5
Its solution is not equal to 7.
As a result of the preceding equations, we can conclude that only the first and third equations have "7" as their solution set.
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which value of the variable m satisfies the equation 20 = -2(4m - 5)
Answer:
m = - 1.25
Step-by-step explanation:
20 = - 2(4m - 5) ← divide both sides by - 2
- 10 = 4m - 5 ( add 5 to both sides )
- 5 = 4m ( divide both sides by 4 )
- [tex]\frac{5}{4}[/tex] = m , that is
m = - 1.25
How onto add, subtract, multiply, and divide decimals
Answer:
Hope this helps. x
What is -0.4 times -5/6?
Answer:
0.3
Step-by-step explanation:
hopes this helps