Write an equation of the line shown. Then use the equation to find the value of 2 when y = 185
Answers
Answer:
[tex] y = 15x + 20 [/tex]
x = 11, when y = 185
Step-by-step explanation:
Given:
(0, 20);
(2, 50)
Required:
Equation of the line;
Value of x, when y = 185
SOLUTION:
Equation of the line can be written using the slope-intercept formula, given as, [tex] y = mx + b [/tex].
m = slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} =\frac{50 - 20}{2 - 0} = \frac{30}{2} = 15 [/tex]
b = y-intercept = the pointt at which the line cuts the y-axis = 20
Plug in the value into the formula to get the equation:
[tex] y = mx + b [/tex]
[tex] y = 15x + 20 [/tex]
Use this equation to solve for x, when y = 185
[tex] y = 15x + 20 [/tex]
[tex] 185 = 15x + 20 [/tex] (substitution)
[tex] 185 - 20 = 15x + 20 - 20 [/tex]
[tex] 165 = 15x [/tex]
[tex] \frac{165}{15} = \frac{15x}{15} [/tex]
[tex] 11 = x [/tex]
x = 11, when y = 185
Related Questions
Urgent! It's due today!
Line A is parallel to line b. If the measures of <2 is 78o, what is the measure of <5?
Answers
Answer:
∠7 = 102°
Step-by-step explanation:
∠2 ≅ ∠6 [Corresponding Angles]
So,
∠6 = 78°
Now,
∠6 + ∠7 = 180°
Where ∠6 = 78°
78° + ∠7 = 180°
∠7 = 180° - 78°
∠7 = 102°
Hope this helped!
~AnonymousHelper1807How to solve trigonometric functions such as
sin 2x sin x + cos x= 0
Answers
Use the double angle identity:
sin(2x) = 2 sin(x) cos(x)
Now rewrite
sin(2x) sin(x) + cos(x) = 0
as
2 sin²(x) cos(x) + cos(x) = 0
Factor out cos(x) :
cos(x) (2 sin²(x) + 1) = 0
Consider the two cases,
cos(x) = 0 OR 2 sin²(x) + 1 = 0
Solve for cos(x) and sin²(x) :
cos(x) = 0 OR sin²(x) = -1/2
Squaring a real number always gives a non-negative number, so the second case doesn't offer any real solutions. We're left with
cos(x) = 0
Cosine is zero for odd multiples of π/2, so we have
x = (2n + 1) π/2
where n is any integer.
Sam spends $1200 on his education, which is of his salary. Hiis salary is
$4500.
Answers
Answer:
3200
Step-by-step explanation:
Answer:
3300
Step-by-step explanation:
MULTIPLE CHOICE!!! pls tell me if it’s a, b, or c and provide a brief explanation
Answers
PLLLLLLLLSSSSSS HELLLLLLPPPPPP MEEEEEE Simplify: 29/4
Answers
Answer:
71/4 (I think) is the answer
im not sure srry if its not right
Step-by-step explanation:
I hope this helps!!!
Answer:
7 1/4
Step-by-step explanation:
The sum of any number and its ______
equals 0.
Answers
Answer:
The sum of the real number (a) and its opposite real number (-a) is zero
Step-by-step explanation:
5 + (-5) = 0 and (-5) + 5 = 0
or, 5 - 5 = 0 and -5 + 5 = 0
Here 5 is real number and (-5) is it's opposite real number. Sum of 5 and (-5) is zero.
15=5k-13 whats the letter
Answers
Answer:
k= 5.6
Step-by-step explanation:
A cube has a side length of 20 in . find the value
Answers
A political analyst believes that a senator's recent decision to support a bill resulted in a drop of approval ratings. To test this claim, he selects random cities in the state the senator represents and compares the approval ratings before the decision to the approval ratings after the decision. Suppose that data were collected for a random sample of 8 cities, where each difference is calculated by subtracting the percent approval rating before the decision from the percent approval rating after the decision. Assume that the ratings are normally distributed. Using a test statistic oft -3.935, the significance level Q=0.05, and the corresponding p-value less than 0.01, draw a conclusion for the appropriate hypothesis test, where the null hypothesis is H. : = 0 and the alternative hypothesis is H. : < 0.
a. Reject the null hypothesis.
b. Fail to reject the null hypothesis.
c. The conclusion of the hypothesis test is that there is sufficient evidence to suggest that there was a drop in approval ratings in cities after the decision to support the bill.
d. The conclusion of the hypothesis test is that there is insufficient evidence to suggest that there was a drop in approval ratings in cities after the decision to support the bill.
Answers
Complete Question
A political analyst believes that a senator's recent decision to support a bill resulted in a drop of approval ratings. To test this claim, he selects random cities in the state the senator represents and compares the approval ratings before the decision to the approval ratings after the decision. Suppose that data were collected for a random sample of 8 cities, where each difference is calculated by subtracting the percent approval rating before the decision from the percent approval rating after the decision. Assume that the ratings are normally distributed. Using a test statistic oft -3.935, the significance level Q=0.05, and the corresponding p-value less than 0.01, draw a conclusion for the appropriate hypothesis test, where the null hypothesis is [tex]H_o. : \mu_d= 0[/tex] and the alternative hypothesis is [tex]H. : \mu_d < 0[/tex]
a. Reject the null hypothesis.
b. Fail to reject the null hypothesis.
c. The conclusion of the hypothesis test is that there is sufficient evidence to suggest that there was a drop in approval ratings in cities after the decision to support the bill.
d. The conclusion of the hypothesis test is that there is insufficient evidence to suggest that there was a drop in approval ratings in cities after the decision to support the bill.
Answer:
The correct option is a and c
Step-by-step explanation:
From the question we are told that
The sample size is n = 8
The test statistics is t = -3.935
The level of significance is [tex]\alpha = 0.05[/tex]
The p-value is [tex]p-value = 0.01[/tex]
From the data given we see that the [tex]p-value < \alpha[/tex] hence
The decision rule is
Reject null hypothesis
The conclusion
There is sufficient evidence to suggest that there was a drop in approval ratings in cities after the decision to support the bill.
3(4x-7)=27
how do i solve this ?
Answers
Answer:
x=4
Step-by-step explanation:
3(4x-7)=27
Divide each side by 3
3/3 (4x-7)=27/3
4x-7 = 9
Add 7 to each side
4x-7+7 = 9+7
4x = 16
Divide each side by 4
4x/4 = 16/4
x = 4
Write the absolute value and the opposite values of the numbers listed in the table. 15,-93,56,-87
Answers
Answer:
initial value opposite value absolute value
15 -15 |15|
-93 93 |93|
56 -56 |56|
-87 87 |87|
Step-by-step explanation:
HELP ME PLS One table at a bake sale has 150 mini cupcakes. Another table has 180 mini cookies. Wich table allows more square arrangments when all mini cupcakes and mini cookies are displayed? Explain.
Answers
Answer: step by step equations
Step-by-step explanation:
explain determination ......??
Answers
Determination is your will power of doing something. Someone who is determined has the firmness of purpose and the resolve to achieve a goal.
Synonyms:
resolution, resolve, resoluteness, character.
Antonyms:
weak-mindedness, pusillanimity.
How to find the y axis on a graph
Answers
the horizontal axis is the x axis (left and right)
The solution to 5(x-2)-6=24 is which of the following? Show the steps in your solution process.
Answers
Answer:
x=8
Step-by-step explanation:
distributive property
5x-10-6=24
adding -10 and -6 which is -16
5x-16=24
add 16 on both sides to cancel the -16
5x=40
than divide 5 to cancel out the 5
x=8
From start to finish, a machine can fill a bottle of water, seal it, label it, and pack it in 8.6 seconds. About how many bottles of water are packed in 480 seconds?
20 bottles
40 bottles
25 bottles
50 bottles
Answers
Answer:
50 bottles
Step-by-step explanation:
8.6×50=430 seconds so that the answer is 50 bottles
Answer:
i belive the answer is 50. correct me if im wrong.
Step-by-step explanation:
Hi, I was wondering why (-1)(-1)(-1)(-2) equals 2 but (-2)(-4)(-3) equals -24. Thank you in advance.
Answers
Answer:
-1*-1= 2;2*-1=-1;-1*-2=2
Step-by-step explanation:
negative times neg equals positive
Because when you add negatives together it goes more down because you are adding negatives together. if you add 2 negatives it decreases in value but when you subtract 2 negatives from each other the number increases.
Please hurry it’s urgent thank you
Answers
Answer:
[tex]b^{9}[/tex]
Step-by-step explanation:
3 + (-5) + 11 = 9
the baker's at healthy Breakers can make 210 Bagels in 5 hours how many bagels can they make in 19 hours
Answers
Answer:
he can make 798
Step-by-step explanation:
your welcome
Zane has a bowl of raspberries and blackberries. There are 2 more raspberries than
blackberries, and there are 18 berries in all. How many blackberries does Zane have?
blackberries
Answers
Answer:
8 raspberries
Step-by-step explanation:
rewrite the equation by completing the square -2x=x^2 - 6
Answers
is 4(x-8)=4x-8 One solution no solution or infinite solutions explain your answer
Answers
Answer:
No solution
Step-by-step explanation:
4(x-8) = 4x-8
Distribute.
4x-32 = 4x-8
Subtract 4x first and get rid of the variable (x).
4x-32 = 4x-8
-4x -4x
-32 = -8
-32 does not equal -8, so there is no solution!
Have an amazing day!! c:
Bailey sold 59 flags at a parade. She has 37 flags left. How many flags did she have before the parade
Answers
Answer:
98 flags
Step-by-step explanation:
59+37=98
PLEASE HELP WILL GIVE BRAINLIEST
Answers
Answer:
3
Step-by-step explanation:
You have nine subjects to split into three groups. You need to select the first three subjects from the list of names provided below.
1. Berliner
2. Blumenthal
3. MacEachern
4. Wolfe
5. Stasny
6. Santner
7. Verducci
8. Lin
9. Critchlow
To do this, use the numerical labels attached to the previous names and the following list of random digits. Read the list of random digits from left to right, starting at the beginning of the list.
44982 20751 27498 12009 45287 71753 98236 66419 84533 11793 20495 0590711384 The simple random sample is:_________.
a. Wolfe, Lin, and Critchlow.
b. 449
c. 498.
d. Wolfe twice and Critchlow.
Answers
Answer:
a. Wolfe, Lin, and Critchlow
Explanation:
We choose random sample of subjects based on the first random number from left to right and since 4(number appears two times so we wait for next different number) and 9 come first we choose Wolfe and critchlow. The third Subject as we have to choose 3 subjects per sample is Lin since her number 8 appears next. Also the order doesn't matter so we could have Wolfe, Lin, and Critchlow or Critchlow, Lin, Wolfe or in any other order
You have a box that is 2 x 3 x 5 how many cubes does it hold? How do you know!
Answers
you would multiply all three numbers to find out the answer
In the diagram below m DEF = 115°
Find the measure of GEF
Answers
Because 115 is the total and your getting rid of the 40 other degrees in the 115
Rendell cycles 42 km at an average speed of 18 km/hr. Find the time taken, giving your
answer as a fraction of an hour in its simplest form.
Answers
Answer:
u
Step-by-step explanation:
what is the quotient of 2 1/5 ÷ -1/10
Answers
Answer:
-22
Step-by-step explanation:
Answer: 22
Step-by-step explanation:
ik bc i got it wrong on the test n is said the answer was 22
If -2a > 6, then _____.
a > -3
a > 3
a < 3
a < -3
Answers
Answer:
a<-3
bc -3(-2)=6
so if u go lower which the next number would be -4(-2)=8 which is greaterthan 6
Step-by-step explanation: