Complete question is;
A truck driver travels from a distributor to a retailer every week. The driver records the distance that he is from the retailer at different times during his trip. After several weeks of collecting data, the driver creates a scatter plot of the data. The best–fit line is y = 73.6 – 67.8x, where x is the number of hours spent driving and y is the distance, in miles, from the retailer.
Which of the following statements are true? Select all that apply.
The distance from the retailer increases with time.
The distance from the retailer decreases with time.
The distributor is 67.8 miles away from the retailer.
The distributor is 73.6 miles away from the retailer.
The truck is traveling at a rate of 67.8 miles per hour.
Answer:
B: The distance from the retailer decreases with time.
Step-by-step explanation:
Formula for best fit line is;
y = mx + b
Where;
m is slope
b is y-intercept
We are told that the best–fit line is y = 73.6 – 67.8x
This can be written as;
y = -67.8x + 73.6
This means the slope is negative and when x = 0, y = 73.6 which is the y-intercept.
We are told that x is the number of hours spent driving and y is the distance, in miles, from the retailer.
Since we have a negative slope, it means that y is decreasing with increasing values of x.
Thus, we can say that the distance from the retailer decreases with time.
help if you cannn please
Answer:
I want to say it is 8,000
Step-by-step explanation:
go to 80 degrees and go up to the next point and that is on 8,000
Answer:
8,300
Step-by-step explanation:
If you continue the graph to 80 degrees, your average will end up at 8,300. You can tell because it will be above 8,000 but not close to 9,000 so it has to be 8,300.
What fraction of an hour is 26 minutes give your answer in its simplest form
Answer:
13/30
Step-by-step explanation:
26 / 60 because there's 60 mins in an hour
and you can divide both the numerator and the denominator by 2 to get:
13/30, which is the simplest form.
If AB ≅ DE , BC = EF, and ∠ACB ≅ ∠DFE, then ΔABC ≅ ΔDEF.
WILL MARK BRAINLIEST
PLZ ASAP
Answer:
Cannot be determined
Step-by-step explanation:
It can't be determined because AB=DE, BC=EF, and <ACB=<DFE not <DEF which makes the rule SSA which doesn't prove congruency.
The measure of angle D is 47 degrees and the measure of angle C is 57 degrees. What is the
measure of angle A?
47
57
76
104
Answer:
D. 104º
Step-by-step explanation:
So the inside of a triangle is equal to 180º and we already know two of the angles.
D = 47º
C = 57º
47 + 57 = 104
To solve angles A and B, we know that a straight line is 180º and we can figure out the angle of B because now all we have to do is subtract 104 from 180.
180 - 104 = 76, B = 76º
Because we know that a straight line is 180º and we already have the measure of angle B, all we have to do now is subtract 76 from 180.
180 - 76 = 104º
hey does anyone get this?? THANK YOU (MARKING BRAINLIEST)
Answer:
i. - 3a² + 2ab + b²
ii. 2c² + - 2cd + - 4d²
Step-by-step explanation:
i. First things first, you remove the parenthesis in both expressions to look like this:
a² − 3ab + 2b² - 4a² + 5ab − b²
Next, you add like terms.
(a² + - 4a²) + (- 3ab² + 5ab) + (2b² + - b²)
After adding these like terms, your answer would be:
- 3a² + 2ab + b²
ii. This one is pretty simply. But first, lets simplify by first removing the parenthesis to look like this:
c² - 6d² + c² - 2cd + 2d²
Then, combine like terms
(c² + c²) + (- 2cd) + (-6cd² + 2d²)
After that, your sum would be:
2c² + - 2cd + - 4d²
Hope this helps!
Answer:
see explanation
Step-by-step explanation:
i
(a² - 3ab + 2b²) + (- 4a² + 5ab - b²) ← remove parenthesis
= a² - 3ab + 2b² - 4a² + 5ab - b² ← collect like terms
= - 3a² + 2ab + b²
----------------------------------
ii
(c² - 6d²) + (c² - 2cd + 2d²) ← remove parenthesis
= c² - 6d² + c² - 2cd + 2d² ← collect like terms
= 2c² - 2cd - 4d²
which three lengths could be the lengths of the sides of a triangles
Answer:
it’s D
Step-by-step explanation:
A) 6 cm, 23 cm, 11 cm
B) 10 cm, 15 cm, 24 cm
C) 22 cm, 6 cm, 6 cm
D) 15 cm, 9 cm, 24 cm
HELPPPP.
Suppose a bird is 500 feet above the ground. It descends at a steady rate. After 10 seconds, it is 250 feet above the ground.
a) Write an equation that gives the height of the bird as a function of time. Be sure to define your variables!
b) After how many seconds will the bird land on the ground?
Answer:
500-10x=250
x=how much the bird descended in a second
the bird will land on the ground in another 10 seconds.
Step-by-step explanation:
the bird will land on the ground in 10 seconds since it descended 250 ft in 10 seconds so that is 25 ft per second. then do 250/25 and you get 10. that is how you know the bird will land on the ground in 10 seconds.
Answer:
a) [tex]h(t)=500-25t[/tex]
b) [tex]t=20[/tex]
Step-by-step explanation:
a)
Let [tex]h[/tex] = height above ground
Let [tex]t[/tex] = time
Because the bird descended down to 250 feet in 10 seconds with a steady rate, that means it descends 25 feet per second.
∴ [tex]h(t) = 500-25t[/tex]
b)
To find the time it takes until the bird reaches the ground, [tex]h[/tex] must equal [tex]0[/tex]:
[tex]0=500-25t[/tex]
[tex]25t=500[/tex]
[tex]t=20[/tex]
∴ It takes 20 seconds for the bird to reach the ground.
WHAT IS THE ANSWER TO B HOW MANY MILES PLEASE
Answer:
There is nothing attached
Step-by-step explanation:
No question given. What is the problem?
Which of the following equations is written in factored form?
O y= 2x² + 3x – 8
o y= 3 (2 + 5) (2 – 2)
o y=-2(1 + 5)2 – 2
O y = 3.2 - 5
Need help please!!
Answer:
Option B is correct option.
Step-by-step explanation:
We need to identify equations written in factored form.
Factored form: A factored form of expression is an expression broken down into a product of its factors.
In the given options A, C and D we don't have product of factors.
Only option B consists of product of factors.
So, Option B is correct option.
The density of a certain material is such that it weighs 8 pounds for every 8.5 cups of
volume. Express this density in ounces per fluid ounce. Round your answer to the
nearest hundredth.
Answer:
1.88
Step-by-step explanation:
Which is correctly written in standard form of y=-6/7x+12
Answer:
6x + 7y +84
Step-by-step explanation:
The linear equation y = -(6/7) x + 12 in the standard form will be 6x + 7y - 84 = 0.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation in standard form is given as,
ax + by + c = 0
Where -a/b is the slope of the line and c/b is the y-intercept of the line.
The linear equation in slope-intercept form is given below.
y = -(6/7)x + 12
Convert the equation into a standard form. Then we have
y = -(6/7)x + 12
y = (-6x + 84) / 7
7y = - 6x + 84
6x + 7y - 84 = 0
The linear equation y = -(6/7) x + 12 in the standard form will be 6x + 7y - 84 = 0.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
i need help! ASAP!:(
Answer:
18(40/360) + 9( 140/360) -3(90/360) -7(90/360)
=2 + 3.5 - 0.75 - 1.75
= $3
Charlie has a $50 gift card to Smoothie World. He purchased the same smoothie 8 times and has $14 left on it. What was the price of each smoothie?
Answer:
Each smoothie was $4.5.
Step-by-step explanation:
We know that he has $50 to use, and after he used it he had $14 left. That means he used $36.
If you divide 36 by 8, you get 4.5
Hope this helped! :D
A boat traveled 27 miles in 2 hours. At this rate, how many miles will the boat travel in ½ hour?
Answer:
6.75 miles
Step-by-step explanation:
First, you need to find the unit rate by dividing 27/2. This equals 13.5. Then, multiply this by 1/2 to get 6.75 miles.
another writing equations point and slope.
through (-5,3) slope -3/10
Answer:
m = 7/2
Step-by-step explanation:
Solve the inequality: 10x<2x+12
Answer:
10x<2x+12
-2x -2x
8x<12
-- --
8 8
x<1.5
PLEASE HELP WILL MARK BRAINLIEST FOR GOOD AND CORRECT ANSWERS :)
===================================================================
Try to solve the following quadratic equations using the factoring method. If it doesn't work, use the quadratic formula. Sketch the parabola.
1) y = x^2 + 3x + 1
2) y = x^2 + 4x - 8
3) y= x^2 - 5x - 12
Answer:
Step-by-step explanation:
1) x² + 3x + 1 = 0
a = 1 b = 3 c = 1
=> Δ = b² - 4ac = 9 - 4.1.1 = 5 > 0
so the quadratic equation have 2 solutions
=> x = [tex]\frac{-3+\sqrt{5} }{4}[/tex]
or x = [tex]\frac{-3-\sqrt{5} }{4}[/tex]
2) x² + 4x - 8 = 0
a = 1 b' = 2 c = -8
Δ' = b'² - ac = 4 - 1.(-8) = 12 > 0
so the quadratic equation have 2 solutions
=> x = [tex]\frac{-2+\sqrt{12} }{1}=-2+\sqrt{12}[/tex]
or x = [tex]-2-\sqrt{12}[/tex]
3) x² - 5x -12 = 0
a = 1 b = -5 c = -12
Δ = b² - 4ac = 25 - 4.1.(-12) = 25 + 48 = 73 > 0
so the quadratic equation have 2 solutions
=> x = [tex]\frac{5+\sqrt{73} }{2}[/tex]
or x = [tex]\frac{5-\sqrt{73} }{2}[/tex]
i don’t know how to do this
Answer:
A2: 55
A1: 99-55+x:180
X:26
first correct answer will get brainliest
Write the equation in point-slope form for the line that passes through the given point and has the given slope. (1, 2), slope 3
Answer:
y-y1 = m(x-x1)
y - 2 = 3(x-1)
y=3x-3+2
y=3x-1
Step-by-step explanation:
first you type down point slope formula
then you plug in the information you have point (1,2) 1 is x1 and 2 is y1 m is 3 because m = slope
then you have to distribute the 3 to the x and the -1 and then isolate y
(how to isolate the y) you must do the opposite of -2 which is +2 whatever you do on one side you have to do to the other
then you combine like terms 3x is alone and -3 +2 equals -1
there is your answer hope that works.
PLEASE ANSWER ILL GIVE BRANLIEST
Answer:
angle A is congruent to angle R
Step-by-step explanation:
when it gets rotated counterclockwise around point X that is how the triangles end up matching up
Answer:
The answer is 1. ∠A ≅ ∠R
Step-by-step explaation:
Looking at the triangles when they're in their alphabetical order, ΔABC and ΔRST, since they are congruent, that means that if you were to pick an angle in one triangle, it would be equal to the angle in the same place of the other triangle. So if we were to take the first letter from ΔABC it'd be A, and the first letter in ΔRST is R, so that means angles ∠A and ∠R should be congruent.
yes she do break even because let me show you a expression now take a number line and then you start at -16 right and then you go down the number line and then this is how it go -16 -15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 and i just answer your Q there you go -16+16=0
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Question 2
1 pts
A dilation centered at the origin with a scale factor of 2 can be denoted
with the following notation: D2 (1, y) = (2x, 2y). Find D4 for point
A (-2, 3).
Given:
A dilation centered at the origin with a scale factor of 2 can be denoted
with the following notation:
[tex]D_2(x,y)=(2x,2y)[/tex].
To find:
The [tex]D_4[/tex] for point A (-2, 3).
Solution:
If [tex]D_2(x,y)=(2x,2y)[/tex], then
[tex]D_4(x,y)=(4x,4y)[/tex]
Substitute x=-2 and y=3 in the above rule to find [tex]D_4[/tex] for point A (-2, 3).
[tex]D_4(-2,3)=(4(-2),4(3))[/tex]
[tex]D_4(-2,3)=(-8,12)[/tex]
Therefore, [tex]D_4[/tex] for point A (-2, 3) is (-8,12).
Please helpp middle school math
suppose 4<a<7. find all the possible values of 15-2a
9514 1404 393
Answer:
1 < 15 -2a < 7
Step-by-step explanation:
There are a couple of ways you can do this.
1) Put the minimum and maximum values of a into the expression to see what its corresponding values are:
15-2a for a=4:
15-2(4) = 7
15-2a for a=7:
15-2(7) = 1
Then ...
1 < 15-2a < 7
__
2) Solve for a in terms of the value of 15-2a, then impose the limits on a.
x = 15 -2a
2a = 15 -x
a = (15 -x)/2
Now, impose the given limits:
4 < (15 -x)/2 < 7
8 < 15 -x < 14 . . . multiply by 2
-7 < -x < -1 . . . . . . subtract 15
7 > x > 1 . . . . . . . . multiply by -1
1 < 15-2a < 7 . . . . . use x=15-2a
_____
The vertical extent of the attached graph is the range of possible values of 15-2a. It goes from 1 to 7.
Math problem.................................................................. Nah fam you ain't gonna answer it correctly also show work :)
Answer:
Ok
Step-by-step explanation:
What is the percent of change from 4,000 to 5,000?
(5000 - 4000)/4000 x 100 = (1000/4000) x 100 = 25%
hope this help! ^^
Given the equation y = (1/4)x - 5, what is the zero? Only write the number please
Answer:
so the zero is (20,0) but just so you know you can go to desmos and it will answer all of your graphing questions.
Step-by-step explanation:
can you please give me brainliest? I would appreciate it soooo much! I just need one more!
(-2,8), (r, 4), m =-1/2
Answer:
[tex]r=6[/tex]
Step-by-step explanation:
Make an equation in point-slope form where:
the equation is [tex]y-y_{1}=m(x-x_{1})[/tex]m is the slopey1 and x1 are the corresponding coordinate points [tex](x_{1},y_{1})[/tex]Insert the known values:
[tex](-2_{x1},8_{y1})\\\\m=-\frac{1}{2} \\\\y-8=-\frac{1}{2} (x-(-2))\\\\y-8=-\frac{1}{2} (x+2)[/tex]
Use the distributive property:
[tex]-\frac{1}{2} (x+2)\\\\-\frac{1}{2}(x)-\frac{1}{2}(2)[/tex]
Simplify. Turn the 2 into a fraction by converting to the fraction [tex]\frac{2}{1}[/tex] , which is still equal to 2:
[tex]-\frac{1}{2}(2)\\\\-\frac{1}{2}*\frac{2}{1}[/tex]
Multiply across:
[tex]-\frac{1}{2}*\frac{2}{1} =-\frac{2}{2} =-1[/tex]
Re-insert into the equation:
[tex]y-8=-\frac{1}{2}x-1[/tex]
Solve for y. Add 8 to both sides (to isolate y using inverse operations):
[tex]y-8+8=-\frac{1}{2}x-1+8\\\\y=-\frac{1}{2}x+7[/tex]
Now insert the y value of the other point to find r (which will have the same value as x):
[tex](r_{x},4_{y})\\\\4=-\frac{1}{2}x+7[/tex]
Simplify the fraction by multiplying. Add 1 as the denominator for x:
[tex]-\frac{1}{2}*\frac{x}{1}[/tex]
Multiply across:
[tex]-\frac{1}{2}*\frac{x}{1}=-\frac{x}{2}[/tex]
Re-insert:
[tex]4=-\frac{x}{2} +7[/tex]
Subtract 7 from both sides (to isolate the variable using inverse operations):
[tex]4-7=-\frac{x}{2} +7-7\\\\-3=-\frac{x}{2}[/tex]
Multiply both sides by 2 (to undo the fraction using inverse operations):
[tex]2(-3)=2(-\frac{x}{2}) \\\\-6=-x[/tex]
Divide both sides by -1 (to make the variable positive, since two negatives make a positive):
[tex]\frac{-6}{-1} =\frac{-x}{-1} \\\\x=6[/tex]
Therefore, the value of r is 6.
:Done
Please help me---------------------------
Answer:
Using the graph, just look at the exact spot where the lines are intersecting and that point is the solution.
The solution is: (1.2, -1.6)
Step-by-step explanation:
You can also test this by plugging the values of the point into both equations.
which equation represents the graphed function?
• y=4x - 2
• y=-4x-2
•y= 1/4x-2
•y=-1/4x-2
Answer:
y= 1/4x-2
Step-by-step explanation:
Let's use the two points we have to find the equation.
y = mx + b
-2 = m(0) + b
So b = -2
-1 = 4m - 2
4m = 1
m = 1/4
find the zeros of the polynomial x square-3 and verify the reationship between the zeros and the coefficient.
Answer:
√3, and -√3
Step-by-step explanation:
to find the zeros or roots of the polinomial x²-3 make it equal to zero and solve for x
x²-3=0 add 3 to both sides to isolate x
x² = 3 squareroot both sides
√x²= √3
x= ±√3 are the two zeros
