Answers
Answer: y=-8/5x+2
Step-by-step explanation:
The equation for slope-intercept form is y=mx+b. We know that m is the slope and b is the y-intercept. We can determine that b=2 because the y-intercept passes through the y-axis. This line passes through the y-axis at y=2. Now, all we have to do is find the slope. We can do that by using any two points on the graph. Let's use (-5,10) and (5,-6). The formula for slope is [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].
[tex]m=\frac{-6-10}{5-(-5)} =\frac{-16}{10} =-\frac{8}{5}[/tex]
With our slope, we can piece together the slope-intercept form equation.
y=-8/5x+2
Related Questions
The hypotenuse of one side of a right angled triangle are 5cm and 4cm respectively. what is the length of the other side
Answers
Explanation:
We can use Pythagorean’s theorem to find that other side:
a^2 + b^2 = c^2
a^2 + 4^2 = 5^2
a^2 = 25 - 16
a^2 = 9
a = 3
Therefore, the other side is 3cm
Answer:
Hypotenuse is the longest side in a triangle.
a^2=b^2+c^2.
5^2=4^2+c^2.
c^2=25-16.
c^2=9.
c=√9.
c=3cm.
Is the value of the 8 in 12.984 the same as the value of the 8 in 7.38? Justify your response.
Answers
Answer:
hundredths’ value in 12.984
hundredths’ value in 7.38
My response: In arithmetic, a hundredth is a single part of something that has been divided equally into a hundred parts. For example, a hundredth of 675 is 6.75. In this manner it is used with the prefix "centi" such as in centimeter. A hundredth is the reciprocal of 100.
write the equation of the line that passes through (2,-4) and (-1,-1)
Answers
y = -x -2
Answer:
y = - x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, - 4) and (x₂, y₂ ) = (- 1, - 1)
m = [tex]\frac{-1+4}{-1-2}[/tex] = [tex]\frac{3}{-3}[/tex] = - 1 , thus
y = - x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 1, - 1 ), then
- 1 = 1 + c ⇒ c = - 1 - 1 = - 2
y = - x - 2 ← equation of line
Nya covers a rectangular tray with 1-square-inch tiles. She uses 42 tiles, arranged in 7 rows. How many tiles are in each row?
Answers
Answer:
6
Step-by-step explanation:
Since you're familiar with your multiplication tables, you know that ...
42 = 6 × 7
There are 6 tiles in each of the 7 rows.
Which row of table reveals the x-intercept
Answers
The row of table reveals the x-intercept could be second ( -4, 0).
What is x-intercept of a function?The x-intercept of a function of variable x ( y = f(x) ) form is an intersection fo the x-axis and the curve of the function.
The x-intercept for a function y = f(x) is a solution to the equation f(x) = 0 because at that value of x, the function f(x) lies on x-axis where y is 0.
Values of x-intercept for a function f(x) are also called roots or solution of f(x) = 0 equation.
We have to find Which row of table reveals the x-intercept.
Thus, We can conclude that the second row shows the unit rate.
Hence, the row of table reveals the x-intercept could be second ( -4, 0).
Learn more about x-intercept here:
https://brainly.com/question/14764115
#SPJ5
5-(n-4)= 3 (n + 2)
what does n equal
Answers
Answer:
The value of n in this equation is -3/4
Step-by-step explanation:
5 - (n - 4) = 3 (n + 2)
Distribute the negative to (n - 4) and distribute 3 to (n + 2).
5 - n + 4 = 3n + 6
Add 4 to -5.
9 - n = 3n + 6
Subtract 9 from 6.
-n = 3n - 3
Subtract 3n from n.
4n = -3
Divide 4 by -3.
n = -3/4
Suppose that the height s of a ball (in feet) at time t (in seconds) is given by the formula s(t) = 64 - 16(t - 1)^2. This function is graphed below on the interval 0 ≤ t ≤ 3. Which labeled point (A-G) corresponds to the release of the ball? How high (in feet) was the ball when it was released? Which labeled point corresponds to the highest point of the ball? When (in seconds after being released) did the ball reach its highest point? Which labeled point corresponds to the ball hitting the ground? How long (in seconds) after being released did the ball hit the ground?
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Suppose that the height s of a ball (in feet) at time t (in seconds) is given by the formula
s(t) = 64 - 16(t - 1)^2
t interval = 0 ≤ t ≤ 3
1) point A (from the graph)
11) Height of ball when it was released
Ball was released at t = 0
s(0) = 64 - 16(0 - 1)^2
= 64 - 16(-1)^2
= 64 - 16(1)
= 64 - 16
= 48 feets
111) point C ( from the graph)
IV) highest point of the ball is 64
Hence,
s(t) = 64 - 16(t - 1)^2
64= 64 - 16(t - 1)^2
16(t - 1)^2 = 64 - 64
16(t - 1)^2 = 0
16t^2 - 32t + 16 = 0
t^2 - 2t + 1 = 0
(t-1) = 0 (t-1) = 0
t = 1
V) Point G (from graph)
V1)
height = 0
s(t) = 64 - 16(t - 1)^2
0 = 64 - 16(t - 1)^2
16(t - 1)^2 = 64
(t - 1)^2 = 64/16
(t - 1)^2 = 4
(t - 1)² = 2²
t - 1 = 2
t = 2 + 1
t = 3
PLEASE HELP IMMEDIATELY!!!
5x + 11 = 4x + 18 and describe the steps!!!
Answers
Answer:
x = 7
Step-by-step explanation:
First, put the x values on one side by subtracting 4x from each side:
5x + 11 = 4x + 18
x + 11 = 18
Subtract 11 from both sides to solve for x:
x = 7
Answer: The value of x is 7.
Step-by-step explanation:
Here's how I got my answer:
5x + 11 = 4x + 18
Isolate variables and combine like terms:
5x - 4x = 18 - 11
Simplify:
x = 7
That is the final answer.
helloo! please quick help with this it’s super simple
Answers
Answer:
1
Step-by-step explanation:
[tex] \bigg(3 {w}^{4} {z}^{3} m \bigg) ^{0} \\ = {3}^{0} \times {w}^{4 \times 0} \times {z}^{3 \times 0} \times {m}^{0} \\ = {3}^{0} \times {w}^{0} \times {z}^{0} \times {m}^{0} \\ = 1 \times 1 \times 1 \times 1.. ( \because {a}^{0 } = 1) \\ = 1 \\ \therefore \: \bigg(3 {w}^{4} {z}^{3} m \bigg) ^{0} = 1[/tex]
Answer:
1
Step-by-step explanation:
whenever we have 0 in the exponent the term becomes equal to 1
(3w^4z^3m)^0
multiplying 0 with all terms inside the bracket
3^0 × w^4×0 × z^3×0 × m^1×0
solving the powers
3^0 × w^0 × z^0 × m^0
since we have 0 in the exponent so all the terms will become 1
1 × 1 × 1 × 1 = 1
The height of a building, measured in feet, is an example of:_______.
a. qualitative data
b. either qualitative or quantitative data
c. feet data
d. quantitative data
Answers
Answer:
Option d (quantitative data) is the correct choice.
Step-by-step explanation:
Quantitative data seems to be a collection or kind of data which is concerned regarding quantitative information or methods. That indicates its value, as well as the condition, could be represented arithmetically. All evidence that can be quantified, checked, and suitable for statistical analysis categorizes as quantitative methods.The remaining three options do not apply to the specified scenario. Therefore the description made will serve as an example of quantitative data.
Use the sample data and confidence level to construct the confidence interval estimate of the population proportion p. n=500, x=200, 95% confidence
Answers
Answer:
0.3581<x<0.4429
Step-by-step explanation:
Using the formula for calculating the confidence interval of the population proportion p expressed as:
Confidence interval = p ± Z * √p(1-p)/n
p is the population proportion = x/n
p = 200/500
p = 0.4
Z is the z-score at 95% CI = 1.96
n is the sample size = 500
Substituting the given parameters into the formula we will have;
Confidence interval = 0.4 ± 1.96 * √p(1-p)/n
Confidence interval = 0.4 ± 1.96 * √0.4(0.6)/500
Confidence interval = 0.4 ± 1.96 * √0.24/500
Confidence interval = 0.4 ± 1.96 * √0.00048
Confidence interval = 0.4 ± 1.96 * 0.0219
Confidence interval = 0.4±0.04294
Confidence interval = (0.3571, 0.4429)
Hence the confidence interval of the population mean is 0.3581<x<0.4429
g In a one-tail hypothesis test where you reject H0 only in the lower tail, what is the p-value if Z STAT
Answers
Answer:
The P-value is 0.0166.
Step-by-step explanation:
The complete question is: In a one-tail hypothesis test where you reject H0 only in the lower tail, what is the p-value if ZSTAT = -2.13.
We are given that the z-statistics value is -2.13 and we have to find the p-value.
Now, the p-value of the test statistics is given by the following condition;
P-value = P(Z < -2.13) = 1 - P(Z [tex]\leq[/tex] 2.13)
= 1 - 0.9834 = 0.0166
Assuming that the level of significance is 0.10 or 10%.
The decision rule for rejecting the null hypothesis based on p-value is given by;
If the P-value of the test statistics is less than the level of significance, then we have sufficient evidence to reject the null hypothesis.If the P-value of the test statistics is more than the level of significance, then we have insufficient evidence to reject the null hypothesis.Here, the P-value is more than the level of significance as 0.0166 > 0.10, so we have insufficient evidence to reject the null hypothesis, so we fail to reject the null hypothesis.
solve for x : 8 (2-x) +3x= -4
Answers
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
So we have the equation:
[tex]8(2-x)+3x=-4[/tex]
Distribute the first term:
[tex]16-8x+3x=-14[/tex]
Combine like terms:
[tex]16-5x=-4[/tex]
Subtract 16 from both sides:
[tex]-5x=-20[/tex]
Divide both sides by -5:
[tex]x=4[/tex]
So, the value of x is 4 :)
solve this question 2√8+√8
A. 3√8
B.24
C.16√8
D.2√8
Answers
Answer:
Simplify each radical, then combine.
3√8
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
6 √ 2 = 3√8
Calculate the average rate of change for the given function, from x = -1 to x = 2.
Answers
Answer:
it moved 3 spots
Step-by-step explanation:
When given a graph, the vertical line test can be used to determine functionality. Describe the vertical line test and explain the reasons why a graph would, or would not, represent a function.
Answers
Answer:
Step-by-step explanation:
You are given a graph and wish to determine whether or not it represents a function. Draw a vertical line through this graph and count the number of times the vertical line intersects the graph.
If exactly once, the graph passes the vertical line test and we say the graph represents a function.
If more than once, the graph fails the test and does not represent a function.
This is because a function assigns one and only one y value to any input value x in the domain.
Answer:
Step-by-step explanation:
vertical line test: a test that uses any kind of straight stuff (i.e line, pen, etc.) to go over the graph and check whether or not there are two points on one vertical line.
In a function, one domain (x value) can only have one range (y value).
NOTE: one range can have multiple domains
This means through vertical line test, if there are two points on one vertical line, it will not be a function.
Solve the equation below.
6(-2w - 3) = -4(3w + 7) + 10
Answers
Answer: all real numbers
Explanation:
Let's solve your equation step-by-step.
6(−2w−3)=−4(3w+7)+10
Step 1: Simplify both sides of the equation.
6(−2w−3)=−4(3w+7)+10
(6)(−2w)+(6)(−3)=(−4)(3w)+(−4)(7)+10(Distribute)
−12w+−18=−12w+−28+10
−12w−18=(−12w)+(−28+10)(Combine Like Terms)
−12w−18=−12w+−18
−12w−18=−12w−18
Step 2: Add 12w to both sides.
−12w−18+12w=−12w−18+12w
−18=−18
Step 3: Add 18 to both sides.
−18+18=−18+18
0=0
(2x2 - 3x + 7) - (-3x2 + 4x - 7)
what is the combine terms
Answers
Answer:
-7x+24
Step-by-step explanation:
(2*2-3x+7) - (-3*2+4x-7)
11-3x+13-4x
-7x+24
Answer:
-7x +24
Step-by-step explanation:
2*2-3x+7) - (-3*2+4x-7)
11-3x+13-4x
-7x+24
What is 5.264 x 2.3? Please show work on how you got the answer
[tex]5.264 \times 2.3[/tex]
Answers
Answer:
12.1072
Step-by-step explanation:
5.264
x take 3 multiply with 5264 = 15792
2.3 then take 2 multiply with 5264 = 10528
15792 add column by column as drop 2 down, then 9 + 8
10528 then 7+2, 5+5, 1+0, 1. then count how many numbers total
121072 behind the point .264= 3 numbers + .3 is 1 number= 4#s
then count backward the result 4 numbers 2701 put the
dot there you will get 12.1072
The weight of tigers follow a normal distribution with a mean of 220 kg and a SD of 30 kg. 1) If we randomly select a tiger, what is the probability that his weights is less than 258 kg
Answers
Answer:
0.89736
Step-by-step explanation:
We solve this question using z score formula
Z score = x - μ/σ
x = raw score
μ = population mean
σ = population standard deviation
Hence,
x = 258, μ = 220, σ = 30
Z = 258 - 220/30
=1.26667
Probability value from Z-Table:
P(x<258) = 0.89736
Therefore, the probability that his weights is less than 258 kg is 0.89736
Which shows all the factors for 36?
1, 2, 3, 4, 6, 9, 12, 18, 36
1, 2, 3, 4, 9, 12, 18, 36
2, 3, 4, 6, 9, 12, 18
1, 2, 3, 4, 8, 12, 18, 36
Answers
Answer:
1, 2, 3, 4, 6, 9, 12, 18, 36
Hope it helps.
Please mark it as Brainliest.
Help what is the answer help plz
Answers
Answer:
2
Step-by-step explanation:
-r^2+5ry+4y^2
= -(-2)^2+5(-2)(3)+4(3)^2
= -(4)+5(-6)+4(9)
= -4-30+36
= 36-30-4
= 36-34
= 2
Parabola,,Could you help me please??
Answers
Answer:
[tex]\large \boxed{\sf \bf \sqrt{\dfrac{10}{3}}}[/tex]
Dimension of the rectangle is
[tex]2\times\sqrt{\dfrac{10}{3}}\\ \\10-\dfrac{10}{3}=\dfrac{20}{3}[/tex]
Step-by-step explanation:
Hello,
[tex]\text{The area is }2x(1-x^2) \\ \\\text{The derivative is }2(10-x^2)+2x(-2x)=2(10-3x^2)\\\\\text{The derivative is }0\text{ for} 10-3x^2=0 \\\text{so for } x=\sqrt{\dfrac{10}{3}}[/tex]
Thanks
Write an equation to solve for x, then solve for x. The whole question is in the picture.
Answers
Answer:
12x = 60 x = 5
Step-by-step explanation:
2 (2x + 4x) = 2 (6x) = 12x
the perimeter is 12x and 60 is the perimeters value so you divide 60 by 12 and get 5
An experimenter wants to estimate the average water consumption per family in a city. Discuss the relative merits of choosing individual families, dwelling units (single-family houses, apartment buildings, and so on), and city blocks as sampling units. What would you use as a frame in each case?
Answers
Answer:
Solution: an Experimenter whats to estimate the average water consumption per family in the city
if individual families are used as the sampling united, a frame could be using censes data or atelephone book
if dwelling are used as the sampli units, aframe could be using Address book or city directory
If city blocks are used as the sampling units, aframe could been using is city directory
Step-by-step explanation:
Could anyone answer this?
Answers
Answer:
4.472135955
Step-by-step explanation:
Find the equation of a line containing the points (3,1) and (2,5). Write the equation
in slope-intercept form
Answers
Answer:
[tex]y=-4x+13[/tex]
Step-by-step explanation:
We are given the two points (3, 1) and (2, 5) and we want to find the equation of the line containing the given points.
First, find the slope of the line:
[tex]\displaystyle \begin{aligned} m &= \frac{\Delta y}{\Delta x} \\ \\ &= \frac{(5)-(1)}{(2)-(3)} \\ \\ &= \frac{4}{-1} \\ \\ &= -4 \end{aligned}[/tex]
Hence, the slope of the line is -4.
Since we know the slope and a point, we can consider using the point-slope form, given by:
[tex]y-y_1=m(x-x_1)[/tex]
Let's use (3, 1) as the chosen point, and we will substitute -4 for the slope m. This yields:
[tex]\displaystyle y-(1)=-4(x-(3))[/tex]
To convert into slope-intercept form, solve for y:
[tex]\displaystyle \begin{aligned} y - 1 &= -4 (x - 3) \\ y - 1 &= -4x + 12 \\ y &= -4x + 13 \end{aligned}[/tex]
In conclusion, the equation of the line is:
[tex]y=-4x+13[/tex]
Answer:
Step-by-step explanation:
Y=-4x+13
Look at the sets below.
{1, 2, 3, 4, 5} {2, 4, 6, 8, 10}
Which of the following shows the union of the sets?
A.
{1, 2, 3, 4, 5}
B.
{2, 4, 6, 8, 10}
C.
{2, 4}
D.
{1, 2, 3, 4, 5, 6, 8, 10}
Answers
Answer:
[tex] \boxed{\bold{\boxed{ \sf{1 \: , \: 2 \: , \: 3\: ,4 \: , \: 5 \: , \: 6 \: , \: 8 \: , \: 10 \: }}}}[/tex]
Option D is the correct option
Step-by-step explanation:
Let the sets be A and B.
A = { 1 , 2 , 3 , 4 , 5 }
B = { 2 , 4 , 6 , 8 , 10 }
Finding A union B ( A ∪ B )
The union of sets A and B is the set of all elements which belongs either A or B or both A and B
So, list them :
A ∪ B = { 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 }
Hope I helped!
Best regards! :D
What equation do you obtain when you solve the formula A = 1/2bh for h?ASAP PLEASE
Answers
Answer:
2Ab=h
Step-by-step explanation:
A=1/2bh
2A=bh
2Ab=h
what does (-3)+9/8 equal i cant get it im kinda stupid lol
Answers
Answer:
-15/8 or -1 7/8, 1.875
Step-by-step explanation: