Answer:
The equation for the following graph:
[tex]y = -\frac{1}{5}x[/tex]
Step-by-step explanation:
- You first need to find the slope by using the slope formula:
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
(where [tex](x_{1},y_{1})[/tex] is the first point and [tex](x_{2}, y_{2})[/tex] is the second point)
-Use the given points [tex](0,0)[/tex] and [tex](10, -2)[/tex] from the graph for the formula:
[tex]m = \frac{-2 - 0}{10 - 0}[/tex]
Then, you solve:
[tex]m = \frac{-2 - 0}{10 - 0}[/tex]
[tex]m = -\frac{1}{5}[/tex]
After you have found the slope, use the slope [tex]-\frac{1}{5}[/tex] and the first point [tex](0,0)[/tex] for the point-slope formula:
[tex]y - y_{1} = m ( x - x_{1})[/tex]
(where [tex]m[/tex] is the slope and [tex](x_{1}, y_{1})[/tex] is the first point)
[tex]y - 0 = -\frac{1}{5} ( x - 0)[/tex]
Then, you solve:
[tex]y - 0 = -\frac{1}{5} ( x - 0)[/tex]
[tex]y - 0 = -\frac{1}{5}x - 0[/tex]
[tex]y - 0 + 0 = -\frac{1}{5} - 0 + 0[/tex]
[tex]y = -\frac{1}{5}x[/tex]
So, the equation for the following graph is [tex]y = -\frac{1}{5}x[/tex] .
The value of b when solving the equation 2 (6 + 12) = 16 is:
Answer:
Step-by-step explanation:
2(6+12)=16
2 X 6 + 2 X 12
12 + 24
26 = 16
HOPE U GE5T IT
Is 1.273 15688 natural number an integer a whole number a rational number
Answer:
It's rational number
Step-by-step explanation:
Natural numbers are the positive integers also known as whole numbers.
Urgent! please help!
(row 1-2) Select if each situation represents a nonlinear function, a linear function, or not a function.
Answer:
Table 1 is definetely non-linear thats because if 10 - 8
then you multiply both sides by 4 you get 40 - 32 but instead of 32 it says 23.
Table 2 is also non-linear because if 8 - 4 that means y=x/2 but for 20-16 it should be 20-10 if it was linear but its not
BOTH ARE NON-LINEAR
Add or subtract (5x^2 + x-3) - (-2x^3 + 4)
Answer:
Step-by-step explanation:
(5x^2 + x-3) - (-2x^3 + 4)=2x³+5x²+x-7
Answer:
2x^3 +5x^2 +x -7
Step-by-step explanation:
(5x^2 + x-3) - (-2x^3 + 4)
Distribute the minus sign
(5x^2 + x-3) +2x^3 - 4
Combine like terms
2x^3 +5x^2 +x -7
If 7+5x+9=−3x , then x=−2 . Drag and drop the reasons to correctly complete each box.
Answer:
Where are the reasons and boxes? Could you repost with more information or a picture please? Thank you!
Step-by-step explanation:
How many solutions does the nonlinear system of equations graphed below have? A. Zero B. One C. Two D. Four
Answer:
D, 4
Step-by-step explanation:
The graph crosses the x-axis 4 different times
Share £90 in the ratio 1:5
Answer:
the answer is
Step-by-step explanation:
if we take a and b as two pupil to share the money,then a gets
$15 and b gets $75
sum of the ratio is=6
a =1/6×$90
=$15
b=5/6×$90
=$75
What is the theoretical probability of a bulb to be switched on?
Answer:
1/2
Step-by-step explanation:
Sample space, S = ON, OFF
⇒n(S) = 2
n(E) = ON = 1
P(E) = 1/2
Answer:
b
Step-by-step explanation:
bc
I have a test in 2 days please do quickly!!! What is a ratio???!!??
Answer:
A ratio is when 2 values that come from related things are compared in the form of x:y
Answer:
comparison between things
Step-by-step explanation:
for example:
16 girls and 8 boys in a class room
the ratio would be 2:1 (girls:boys)
Which is the value of this expression when x = negative 2 and y = negative 3? 10 x cubed y squared Negative 720 Negative 360 360 720
Answer:
Step-by-step explanation:
10x^3y^2
10(-2)^3 * (-3)^2 = -720
Answer: Negative 720
Step-by-step explanation:
-2 * -2 * -2 = -8
10 * -8 = -80
-3 * -3 = 9
-80 * 9 = -720
Which is a zero of the quadratic function f(x) = 16x2 + 32x − 9? x = –5.25 x = –2.25 x = –1.25 x = –0.25
Answer:
answer b -2.25
Step-by-step explanation:
The zero of the quadratic function f(x) = 16x2 + 32x − 9 is -2.25
How to determine the zero?We have:
f(x) = 16x^2 + 32x - 9
Next, we test the options.
x = –5.25
f(-5.25) = 16(-5.25)^2 + 32(-5.25) - 9
Evaluate
f(-5.25) = 264 --- this is false
x = –2.25
f(-2.25) = 16(-2.25)^2 + 32(-2.25) - 9
Evaluate
f(-2.25) = 0 ---- this is true
Hence, the zero of the quadratic function f(x) = 16x2 + 32x − 9 is -2.25
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What is the solution to the system of equations below?
2x-y= 10 and y=-
--3x+5
(6,2)
(6,-2)
(-6, -22)
(-6,8)
Maureen worked 48 hours last week. Her hourly rate is $8.00. How much did she earn in overtime pay?
1 hour = $8.00
48 hours = $8 x 48
48 hours = $384
----------------------------------------
Answer: $384
----------------------------------------
Find a. Roud to the nearest tenth:
2cm
15*
a
105*
c
Answer:
So since we use law of sines. We can get 2 fractions equal to eachother but first we need to solve for missing angle. That would be 180-105-15 = 60
So now we can get a fraction. So that means that sin(105)/2 = sin(60)/a
Then we do recipricol. 2/sin(105) = a/sin(60)
multiply by sin(60) both sides.
2sin(60)/sin(105) = a
round and solve and we get a is equal to
1.7931 or 1.8
Brenda collected this data from an experiment.
For the line of fit h = 0.6t + 0.44, what is the residual of the data point at t = 11?
Answer:
7.04
Step-by-step explanation:
To get the value of residual of the data point, we simply substitute 11 for t
The substitution equation is h = 0.6t + 0.44
Substituting 11, we have
h = 0.6(11) + 0.44
h = 6.6 + 0.44
h = 7.04
Answer:
The residual of the data point h = 0.6t + 0.44, is h = 7.04.
Step-by-step explanation:
Given the line of fit, h = 0.6t + 0.44, which Brenda collected from an experiment, at the point t = 11, the residual of the data point is obtained by replacing t with 11 in the given equation h = 0.6t + 0.44.
Doing this, we have
h = 0.6(11) + 0.44
h = 6.6 + 0.44
= 7.04
This is what we want to obtain.
21. A quantity of food would last a
family of 5 for 21 days. How long
would the same quantity last a
family of 7 if thev all eat at the same
rate?
Answer:
15 days
Step-by-step explanation:
5 x 21 = 105
105/7 = 15
Answer:
15 days
Step-by-step explanation:
As the number of people in that family increases the time taken reduces, so the time is in inverse proportion to the number of people in that family.
Let the number of days taken by a family of 7 to finish a quantity of food be x.
⇒ [tex]\frac{x}{21}[/tex] = [tex]\frac{1}{\frac{7}{5} }[/tex]
⇒ [tex]\frac{x}{21}[/tex] = [tex]\frac{5}{7}[/tex]
⇒ x = [tex]\frac{21 * 5}{7}[/tex]
x = 15
∴ It would take a family of 7 15 days to finish a quantity of food.
Hope this helps!!!
Q1.work out the sum of the interior angles of a pentagon.
Q2.work out the size of one interior angle of a regular octagon.
Q3.work out the size of one exterior angle of a regular hexagon
Answer:
Question 1:
The sum of interior angles of a polygon can be found by the following formula:
(n-2) × 180
Where n is the no. of sides
A pentagon has 5 sides
So,
= (5-2) × 180
= (3) × 180
= 540 degrees
Question 2:
Since The sum of interior angles of a regular octagon is 1080 and the total interior angle are 8
So, Measure of interior angle = [tex]\frac{1080}{8}[/tex]
Measure of interior angle = 135 degrees
Question 3:
Since, one interior angle in a hexagon measures 120 degrees.
So,
The interior angle should be subtracted by 180 to get the exterior angle.
Exterior angle = 180-120
Exterior Angle = 60 degrees
Which is true regarding the graphed function f(x)?
f(Ο) =3
f(5) = -1
f(3) =2
f(2) = -2
Answer:
Step-by-step explanation:
cant seee the pic
The ratio x:y is 3:1
Which of the following statements is correct?
1)x is 3/4 of y
2) y is 1/3 of x
3) x is 1/3 of y
4) y is 1/4 of x
y is ⅓ of x
step by step explanation.ratio of x to y is 3:1
x=¾
y=¼
¼÷¾=⅓
that means y is ⅓ of x
to confirm the answer.when you take¾×⅓=¼.
Answer:
Its B
Step-by-step explanation:
help please, I don't know it please
Answer:
second payment from the left
Step-by-step explanation:
A car loan should decrease as time passes when you make regular payments
This should be the second payment from the left
is the sum of (5x - 6) + (x + 2) 6x-4?
Answer:
Yes.
Step-by-step explanation:
Because the terms inside the parentheses are fully simplified, we can just add up the terms:
(5x - 6) + (x + 2) =
5x - 6 + x + 2 =
5x + x - 6 + 2 =
6x - 4
Classify the following triangle. Check all that apply.
Suppose figure A underwent a dilation to produce figure B. Are figure A and figure B similar?
Answer:
Figure A and B are still congruent to each other. the only change is the size of the shape.
Step-by-step explanation:
Yes, figure A and figure B similar because even though their side lengths are different, their internal angles are the same.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Suppose figure A underwent a dilation to produce figure B.
Now, A dilation is a transformation that produces an image that is the same shape as the original, but is a different size
if Dilation factor N then image Size is multiplied by N
if Scale factor < 1 then image get reduced
if scale factor > 1 then image get enlarged
scale factor = 1 lead to Same size image
Hence, Figure A and figure B similar because even though their side lengths are different, their internal angles are the same.
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If f ( x ) f ( x ) is a linear function, f ( − 5 ) = 0 f ( - 5 ) = 0 , and f ( 2 ) = 4 f ( 2 ) = 4 , find an equation for f ( x ) f ( x )
f(x)=________
================================================
Explanation:
We have
f(-5) = 0 and f(2) = 4
This means the two points (-5,0) and (2,4) are on this line
----------
Find the slope of the line through (x1,y1) = (-5,0) and (x2,y2) = (2,4)
m = (y2 - y1)/(x2 - x1)
m = (4 - 0)/(2 - (-5))
m = (4 - 0)/(2 + 5)
m = 4/7 is the slope
----------
Plug m = 4/7 and (x1,y1) = (-5,0) into the point-slope formula. Solve for y.
y - y1 = m(x - x1)
y - 0 = (4/7)(x - (-5))
y = (4/7)(x + 5)
y = (4/7)x + (4/7)*5
y = (4/7)x + 20/7
f(x) = (4/7)x + 20/7
This linear equation has a slope of 4/7 and a y intercept of 20/7.
The equation for f ( x ) would be; f(x) = (4/7)x + 20/7
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
We are given f(-5) = 0 and f(2) = 4
This means the two points (-5,0) and (2,4) are on this line
To Find the slope of the line through (x1,y1) = (-5,0) and (x2,y2) = (2,4)
m = (y2 - y1)/(x2 - x1)
m = (4 - 0)/(2 - (-5))
m = (4 - 0)/(2 + 5)
m = 4/7 is the slope
Then substitute m = 4/7 and (x1,y1) = (-5,0) into the point-slope formula. Solve for y;
y - y1 = m(x - x1)
y - 0 = (4/7)(x - (-5))
y = (4/7)(x + 5)
y = (4/7)x + (4/7)*5
y = (4/7)x + 20/7
f(x) = (4/7)x + 20/7
The linear equation has a slope of 4/7 and a y intercept of 20/7.
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Find the percent increase in volume when 1 foot is added to each dimension of the prism. Round your answer to the nearest tenth of a percent. Percent increase ≈ %
Answer:
The percentage increase in volume of the prism is impossible to find. This is because the current dimension or the diagram from which the dimension of the prism could be determined is not given.
However I will explain the methods to follow in finding this percentage increase, assuming that the current dimension of the prism is given.
Step-by-step explanation:
Assuming the volume the of prism is x ft³. After adding 1 ft to each dimension, the volume becomes y ft³.
The percentage increase = (y/x) × 100
= z%
That is,
Percentage increase = [(New volume) ÷ (Old volume)] × 100
The resulting value, z% is the percentage increase.
Salvador has saved 130 sand dollars and wants to give them away equally to n friends. How could you write this?
Answer:
[tex]\frac{130}{n}[/tex]
Step-by-step explanation:
Each friend would get [tex]\frac{130}{n}[/tex] sand dollars.
As they would get an equal proportion based on the population size.
*I WILL MARK YOU BRAINLIEST!!!!*
Answer:
I believe it's c.
Step-by-step explanation:
Starts and includes 2, goes until and includes 5.
Answer:
C
Step-by-step explanation:
Domain represents the possible x-values and the line on the graph only runs through x-values between 2 and 5.
what is question 67?
Answer:
create a graph
Step-by-step explanation:
you have to make a line on the graph using the function
What is 2 with an exponent of -2 equal to?
Answer:
[tex] \boxed{\frac{1}{4} } [/tex]
Step-by-step explanation:
[tex]{2}^{ - 2} = \frac{1}{ {2}^{2} } \\ \\ \: \: \: \: \: \: \: \: \: = \frac{1}{4} [/tex]
[tex] Negative \: exponent \\ \\ = > {a}^{-x} = \frac{1}{{a}^{x}} [/tex]
Answer:
[tex]=\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]2^{-2}\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}\\2^{-2}=\frac{1}{2^2}\\=\frac{1}{2^2}\\2^2=4\\=\frac{1}{4}[/tex]
Can someone please help me??
Answer:
A∪B = {0,1,3,5,6,7,9}
A∩B = {3}
Step-by-step explanation:
A = {1,3,5,7}
B = {0,3,6,9}
Now
A∪B is a union (unity) of both sets
A∪B = {0,1,3,5,6,7,9}
Now
A∩B is the intersection(common elements) of both sets
A∩B = {3}
Answer:
Step-by-step explanation:
A ={1, 3 , 5 , 7}
B= {0, 3 , 6 , 9}
A U B is a set of all distinct elements that are in A or B
A U B = {0, 1 , 3 , 5 , 6 , 7 , 9}
A ∩ B is a set of all distinct elements that are in both A & B
A ∩ B = {3}