Answers
Answer:
y-intercept = 1, x-intercept= -1/4
Step-by-step explanation:
Default equation of line:
y = mx+c , where m is the slope and c is the y-intercept.
So first we will find the slope from the values given in the table.
slope of line [tex]\frac{y1-y2}{x1-x2}\\= \frac{9-5}{2-1} \\= \frac{4}{1}\\ =4[/tex]
So take 1 random value of x and y from the table,
x =1 , y=5
5 = 4(1)+c
c = 5-4 = 1
so equation of line is y = 4x+1
and y intercept = 1
x intercept is the value of x when y = 0.
so given
y = 4x+1
0 = 4x+1
4x = -1
x = [tex]-\frac{1}{4}[/tex]
therefore x intercept = -1/4
Related Questions
I need a little help here
Answers
Volume = 1/3 x pi x r^2 x height
V = 1/3 x 3.14 x 2^2 x 7
V = 1/3 x 3.14 x 4 x 7
V = 29.3
Convert 0.00001 to a power of 10
Answers
Answer:
10^(-5)
Step-by-step explanation:
1 x 10^(-5)
I hope it helps u dear! ^_^
solve this quadratic inequalitie with detailed full explanation
X2≤16
x square less than or equal to 16
Answers
[tex]x^2\leq16\\x\leq 4 \wedge x\geq -4\\x\in\langle-4,4\rangle[/tex]
different approach:
[tex]x^2\leq16\\x^2-16\leq0\\(x-4)(x+4)\leq0[/tex]
see attachment
[tex]x\in\langle-4,4\rangle[/tex]
[tex]~~~~~~x^2 \leq 16\\\\\implies -\sqrt{16} \leq x\leq \sqrt{16}\\\\\implies -4\leq x \leq 4\\\\\text{Interval notation:}~ [-4,4][/tex]
A mathematics teacher wanted to see the correlation between test scores and homework. The homework grade (x) and test grade (y) are given in the accompanying table. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, find the projected test grade, to the nearest integer, for a student with a homework grade of 72.
Answers
There was a missing data point in the Homework Grade. So I put a 74 to get 8 data points on each variable.
Put these data points in Excel. In the Data Analysis tab, scroll down and click on Regression. Input Y range for Test Grade and Input X range for Homework Grade.
y = -0.4x + 98.3
What is the correlation?
correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data.
When you increase your homework score by 1 point, you lose 0.4 points on your test.
-0.4x + 98.3 = 74
→ -0.4x = -24.3
→ x = 60.75 ≈ 61
A student will earn a 61 on his/her homework if he/she earns a 74 on an exam.
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answer asap giving max points and brainliest A projectile is launched at an angle of 30° and travels a distance of 400 meters. Gravitational acceleration equals 9.8 m/sec2 calculate the initial velocity.
answer choices:
67
87
57
Answers
Answer:
67 m/s
Step-by-step explanation:
Formula for range :
Range = u²sin2θ / gu = initial velocityθ = angle of launchg = gravitational accelerationSolving with the given values :
400 = u² x sin60° / 9.8u² x √3/2 = 3920u² = 7840/√3u² = 4526.4u = 67 m/s (approximately)Answer:
[tex]\sf u=67\:ms^{-1}[/tex]
Step-by-step explanation:
Assuming the distance traveled is the horizontal distance.
Horizontal Range Formula
[tex]\sf R=\dfrac{u^2 \sin 2\theta}{g}[/tex]
where:
R = horizontal rangeu = initial velocity[tex]\theta[/tex] = angle of initial velocityg = acceleration due to gravityGiven:
R = 400 m[tex]\theta[/tex] = 30°g = 9.8 m/s²Substituting the given values into the formula and solving for u:
[tex]\implies \sf 400=\dfrac{u^2 \sin 60^{\circ}}{9.8}[/tex]
[tex]\implies \sf 3920=u^2 \sin 60^{\circ}[/tex]
[tex]\implies \sf 3920=\left(\dfrac{\sqrt{3}}{2}\right)u^2[/tex]
[tex]\implies \sf u^2=\dfrac{7840}{\sqrt{3}}[/tex]
[tex]\implies \sf u=\sqrt{\left(\dfrac{7840}{\sqrt{3}} \right) }[/tex]
[tex]\implies \sf u=67.2787196...[/tex]
[tex]\implies \sf u=67\:ms^{-1}\:(nearest\:whole\:number)[/tex]
The 7 in which number represents a value of 0.7
*903038393JKLSi933003
9=28
when 834 nine=365 and 7
Answers
Answer:
THE ANSWER IS C
Step-by-step explanation:
just add it it and find it 0.007
Answer:
THe answer Is C
Step-by-step explanation:
because 0.007 is the same as 365 its something were learning in class
The chart below lists the original and sale prices of items at a clothing store.
Which statement best describes why the sale price is a function of the original price?
A. As the original price increases, the sale price also increases.
B.The sale price is always less than the original price.
C.For every original price, there is exactly one sale price.
D. The sales price is never less than zero.
Answers
Answer:
I think Option C is the correct answer
I think it will help you.
Cooper just started a running plan where he runs 8 miles the first week and then
increases the number of miles he runs by 5% each week. If he keeps up this plan for
21 weeks, how many total miles would Cooper have run, to the nearest whole
number?
Answers
Cooper ran 286 miles in 21 weeks.
how many prime number are between 2 and 22
Answers
Answer:
8
Step-by-step explanation:
2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 easily get rid of all the even numbers except 2 and then look at the numbers to see if they can be divisible by anything but 1 and its self. then you will get the answers 2, 3, 5, 7, 11, 13, 17, and 19
Which of the following is the correct factorization of the polynomial below?
p³ -343q³
A. (p-49q) (p² +7pq+49q²)
B. (p-7q) (p² +7pq+49q²)
C. (p² +7q) (p³ +49pq+7q²)
D. The polynomial is irreducible.
Answers
Answer:
B
Step-by-step explanation:
a difference of cubes factors in general as
a³ - b³ = (a - b)(a² + ab + b²)
given
p³ - 343q³
= p³ - (7q)³ ← a difference of cubes , then
= (p - 7q)(p² + 7pq + 49q²) ← in factored form
What is the measure of each interior angle of a regular octagon?
45º
60º
120º
135º
Answers
Answer:
135 degrees
Step-by-step explanation:
Just took the test...
Answer:
135 degrees
Step-by-step explanation:
180 (n - 2)
180 (8 - 2)
180(6)
1080 divided by 8
135 is your answer.
is there anyone who understands this?
Answers
Answer:
The question was most likely asking for exponential form.(The list shows questions 16 through 20, not 1 through 5.)
b 1/6X Z/49 3/2m p/nj 2 + x/2Question 1 of 10
Evaluate the following expression. Round your answer to two decimal places.
log79
A. 0.89
Answers
Step-by-step explanation:
log(79) = 1.897627091... ≈ 1.90
Elaina Kicks A Soccer Ball With An Initial Velocity Of
Answers
By using the motion equations, we conclude that she will make the goal.
Will she make the goal?
First, we know that the goal is 20ft away, and the position in x is given by:
[tex]x = 28*cos(58)*t[/tex]
Let's find the time in which the ball will travel these 20 ft.
[tex]20 = 28*cos(58)*t[/tex]
[tex](20)/(28*cos(58)) = t = 1.35[/tex]
So the horizontal distance is covered in 1.35 seconds, now let's see which is the height of the ball at that time.
The height equation is:
[tex]y = -16*t^2 +28*sin(58)*t[/tex]
Evaluating in t = 1.35 we get:
[tex]y = -16*(1.35)^2 +28*sin(58)*1.35\\\\y = 2.9[/tex]
And the goal is 5ft tall, so we can conclude that she will make the goal.
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The 7 in which number represents a value of 0.7
*903038393JKLSi933003
9=28
when 834 nine=365 and 7The 7 in which number represents a value of 0.7
*903038393JKLSi933003
9=28
when 834 nine=365 and 7The 7 in which number represents a value of 0.7
*903038393JKLSi933003
9=28
when 834 nine=365 and 7The 7 in which number represents a value of 0.7
*903038393JKLSi933003
9=28
when 834 nine=365 and 7The 7 in which number represents a value of 0.7
*903038393JKLSi933003
9=28
when 834 nine=365 and 7The 7 in which number represents a value of 0.7
*903038393JKLSi933003
9=28
when 834 nine=365 and 7The 7 in which number represents a value of 0.7
*903038393JKLSi933003
9=28
when 834 nine=365 and 7
Answers
Answer:
The answer is C
Step-by-step explanation:
good job on quiz i got a 15/15 but keep up 3´5
Answer:
i got a 0/15 i didnt do it
Step-by-step explanation:
0000.7 C
HELP PLS! A kiddie pool is 9 feet long and 6 feet wide. Surrounding wach side of the kiddie pool is a cement walkway of uniform width. The combined area of the pool and walk way is 108 ft^2. Find the width of the walkway. Ill give brainliest too
Answers
I will answer this will within a few minutes
follow the steps to construct a diagram:
1:create points A, B, and C in order on a horizontal line with a distance of four units between successive points.
2:draw Circle with center that passes through b, and two tangents to the circle passing through C.
3:locate the points of intersection of the tangents with the circle, and labeled them D and E.
4: draw the radii AD and AE to create central angel EAD.
Take a screenshot of your construction, and paste it below.
Answers
Answer:
a=3=8
Step-by-step explanation:
there is none
The construction forms a diagram consisting of a circle, two tangents, and a central angle EAD as shown in the attached figure.
Construction is a topic that requires drawing a required shape, line, and figure with constructing tools. The appropriate steps should be taken so as to complete the required figure.
In the given question, the circumference of the required circle passes through points A and C. And the radius of the circle with center B is 4 units so its diameter is 8 units. Then joining the points D and E to A, creates a central angle EAD.
Following the appropriate steps, the required diagram for the construction is as given in the attachment to this question.
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Rectangle ABCD has has vertices A(1,1), B (1,5), C(5,5) and D (5,1). Graph the rectangle and its translation (2,1). Then write the new vertices for both.
Answers
The rectangle and the translated rectangle have been plot and the image is attached.
What is a Rectangle ?A rectangle is a polygon with four sides , opposites sides of the polygon are equal and parallel.
To draw a Rectangle having vertices A(1,1), B (1,5), C(5,5) and D (5,1).
and a rectangle with translation (2,1)
After translation the new points are
A(3,2) ,B (3,6) , C(7,6) , D(7,2)
The rectangle and the translated rectangle have been plot and the image is attached.
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Rewrite using the Distributive Property and GCF 13+36
Answers
Answer:
Step-by-step explanation:
13 and 36 have no common factor except 1.
Perhaps you meant that the 13 should be 12. In that case
GCF
12 = 2*2*336 = 2*2 *3 * 3The greatest common factor is 2 * 2 * 3
If there is a number that is not bolded, it is what is left behind inside the backets the distributive property creates.
Answer: 12(1 + 3)
Note: the 1 is part of the answer inside the brackets when one of the numbers inside the brackets and the GCF are the same
what's the answer to this
Answers
Step-by-step explanation:
the angle CDB is the supplementary angle to 9x+10 (angle ADC).
that means they stand together for 180°. as all angles around a single point on one side of a line are together always 180°.
and then, the sum of all angles in a triangle is always 180°.
so,
CDB + (4x + 10) + 50 = 180
CDB = 180 - (9x + 10) = 180 - 9x - 19 = 170 - 9x
therefore,
(170 - 9x) + (4x + 10) + 50 = 180
170 - 9x + 4x + 10 + 50 = 180
-5x = -50
5x = 50
x = 10
angle CDB = 170 - 9x = 170 - 90 = 80°
The following diagram shows a 4-step process that begins with Operation 1 and ends with Operation 4.
Answers
Based on the operations and their times, the capacity of this process is 10 per hour and the action that would yield the greatest increase would be 2. increase operation 2 by 14%.
What is the capacity of the process?The capacity of the process is the least operation time in the process which is 10/ hr.
How can we get the greatest increase in process capacity?Check all the alternatives given. The alternative with the lowest capacity is best.
Increase operation 1 by 12%:
= 11 x (1 + 12%)
= 12.32 per hour
Increase operation 2 by 14%:
= 10 x (1 + 14%)
= 11.4 per hour
Increase operation 3 by 10%:
= 12 x (1 + 10%)
= 13.2 per hour
The best alternative is therefore to increase operation 2 by 14%.
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A company that produces and sells ceramic tiles for $41.78 per square foot has fixed weekly expenses of $7,210 and variable expenses of $14.79 for each square foot of tile. Determine the company's ROI if they are able to sell 1,265 square feet of tile per week. Round the final answer to the nearest hundredth. Show your work.
Answers
Answer:
103.9
Step-by-step explanation:
yes
What is the product of the polynomials below? (3x^3+9x)(x^2-2)
Answers
Answer:
= 3x⁵ + 3x³ - 18x
Step-by-step explanation:
(3x³ + 9x)(x²-2)
= 3x³ * x² + 3x³ * -2 + 9x * x² + 9x * -2
= 3x⁵ - 6x³ + 9x³ - 18x
= 3x⁵ + 3x³ - 18x
Please answer this question
Answers
Answer:
Step-by-step explanation:
#18 please I’m not good at math at all
Answers
Answer:
The answer is in the picture.
Step-by-step explanation:
By hand, you can factor it. I did it on a website called Cymath.
Answer:
3x(y - 3)(y + 1)
Step-by-step explanation:
Factor 3x out of 3xy^2
Factor 3x out of -6xy
Factor 3x out of -9x
Factor 3x out of 3x(y^2)+3x(-2y)
Factor 3x out of 3x(y^2-2y) + 3x(-3)
4 The angle of elevation of point P from point Q is 40°. PQ = 45 km. How high is point P above the level of point Q?
Answers
Answer: [tex]45\sin 40^{\circ} \approx 28.925[/tex] km
Step-by-step explanation:
[tex]\sin 40^{\circ}=\frac{x}{45} \\ \\ x=45 \sin 40^{\circ} \approx 28.925[/tex]
The height of point P above the level of point Q is given by trigonometric relations h = 34.7 km
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let's call the height of point P above the level of point Q as h.
We know that the angle of elevation of point P from point Q is 40°, which means that the angle between the horizontal line passing through Q and the line segment connecting Q and P is 40°.
We also know that PQ = 45 km, which represents the distance between Q and P.
Using trigonometry, we can set up the following equation:
tan(40°) = h / 45
Solving for h, we get:
h = 45 x tan(40°) ≈ 34.7 km
Therefore, point P is approximately 34.7 km above the level of point Q
Hence , the height is h = 34.7 km
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Which number has the greatest value?
O 0.095
1.24
O 1.215
245
Answers
The number that has the greatest value is 245
How to determine the greatest number?The numbers are given as:
0.095, 1.24, 1.215 and 245
Rearrange the numbers in ascending order
0.095, 1.215, 1.24 and 245
The last number on the list is the greatest
Hence, the number that has the greatest value is 245
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Solve the following inequality algebraically:
-2 less-than x/3 + 1 less than 5
a.
Negative 9 greater-than x greater-than 12
b.
Negative 9 less-than x less-than 12
c.
Negative 2 less-than x less-than 5
d.
Negative 2 greater-than x greater-than 5
Answers
Answer:
d
Step-by-step explanation:
can someone help me with this worksheet please!!!!
Answers
(1) The missing term in the sequence, a₁₂ = 0.8.
(2) The missing term in the sequence, a₈ = 102.5.
(3) The missing term in the sequence, a₈ = 111.
(4) The missing term in the sequence, a₁₂ = -19.
(5) The missing term in the sequence, a₁₂ = 94.
(6) The missing term in the sequence, a₆ = 40.
(7) The missing term in the sequence, a₃₆ = -52.
(8) The missing term in the sequence, a₂₁ = -58.
Missing term of the sequenceThe missing term in the sequence is determined as follows;
Tₙ = a + (n - 1)d
1.0 a₄ = 18.4 and a₅ = 16.2, a₁₂ = ?T₄ = a + 3d
18.4 = a + 3d ---(1)
T₅ = a + 4d
16.2 = a + 4d ---(2)
subtract (1) from (2)
-2.2 = d
18.4 = a + 3(-2.2)
a = 25
a₁₂ = a + 11d
a₁₂ = 25 + 11(-2.2)
a₁₂ = 0.8
2.0 a₂ = 57.5 and a₅ = 80, a₈ = ?a₂ = a + d
57.5 = a + d -- (1)
a₅ = a + 4d
80 = a + 4d --- (2)
solve (1) and (2)
d = 7.5
a = 50
a₈ = a + 7d
a₈ = 50 + 7(7.5)
a₈ = 102.5
3.0 a₁₀ = 141 and a₁₃ = 186, a₈ = ?a₁₀ = a + 9d
141 = a + 9d --- (1)
a₁₃ = a + 12d
186 = a + 12d --- (2)
Subtract (1) from (2)
d = 15
a = 6
a₈ = a + 7d
a₈ = 6 + 7(15)
a₈ = 111
4.0 a₂₂ = -49 and a₂₅ = -58, a₁₂ = ?a₂₂ = a + 21d
-49 = a + 21d ---- (1)
a₂₅ = a + 24d
-58 = a + 24d --- (2)
subtract (1) from (2)
d = -3
a = 14
a₁₂ = a + 11d
a₁₂ = 14 + 11(-3)
a₁₂ = -19
5.0 a₄ = -2 and a₈ = 46, a₁₂ = ?a₄ = a + 3d
-2 = a + 3d --- (1)
a₈ = a + 7d
46 = a + 7d ---- (2)
Subtract (1) from (2)
d = 12
a = -38
a₁₂ = a + 11d
a₁₂ = -38 + 11(12)
a₁₂ = 94
6.0 a₉ = 64 and a₁₂ = 88, a₆ = ?a₉ = a + 8d
64 = a + 8d --- (1)
a₁₂ = a + 11d
88 = a + 11d --- (2)
Subtract (1) from (2)
d = 8
a = 0
a₆ = a + 5d
a₆ = 0 + 5(8)
a₆ = 40
7.0 a₂₀ = -4 and a₂₃ = -13, a₃₆ = ?a₂₀ = a + 19d
-4 = a + 19d ---- (1)
a₂₃ = a + 22d
-13 = a + 22d --- (2)
Subtract (1) from (2)
d = -3
a = 53
a₃₆ = a + 35d
a₃₆ = 53 + 35(-3)
a₃₆ = -52
8.0 a₂₈ = 5 and a₃₃ = 50, a₂₁ = ?a₂₈ = a + 27d
5 = a + 27d ---- (1)
a₃₃ = a + 32d
50 = a + 32d --- (2)
Subtract (1) from (2)
d = 9
a = -238
a₂₁ = a + 20d
a₂₁ = -238 + 20(9)
a₂₁ = -58
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What is 5 over 8 expressed as a percent?
Answers
Answer: 62.5%
Step-by-step explanation:
5/8 = 0.625
0.625 x 100 = 62.5