1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jasenka [17]
3 years ago
7

The graph of the equation y=−5x+b goes through the point A(5, −2). Find the value of b.

Mathematics
1 answer:
Furkat [3]3 years ago
5 0

\bf y=-5x+b\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \qquad \stackrel{therefore}{m=-5} \\\\[-0.35em] ~\dotfill\\\\


\bf A(\stackrel{x_1}{5}~,~\stackrel{y_1}{-2})~\hspace{10em} slope = m\implies -5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-2)=-5(x-5)\implies y+2=-5x+25 \\\\\\ y=-5x+25-2\implies y=-5x+\stackrel{\stackrel{b}{\downarrow }}{23}

You might be interested in
The number of students in a school's math club is ten less than twice the number of students in the art club. Let a represent th
Alborosie

Answer:    2a - 10

Step-by-step explanation:

a represents the number of students in the art club.

The number of students in a school's math club is ten less than twice the number of students in the art club.

ten less = - 10

twice the number of students in the art club = 2*a

2a - 10 = the number of students in the math club

5 0
3 years ago
What number should be added to both sides of the equation to complete the square? x^2 â 10x = 7?
Harman [31]
You should add 25 because you should always add the square of the p value (which is equal to half of the b value, which makes the p value 5).
Basically, the p value should be half of b and the square root of c.
5 0
3 years ago
You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the
Vesna [10]

Answer:

A sample size of at least 1,353,733 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of .

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

98% confidence level

So \alpha = 0.02, z is the value of Z that has a pvalue of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.  

You would like to be 98% confident that you esimate is within 0.1% of the true population proportion. How large of a sample size is required?

We need a sample size of at least n.

n is found when M = 0.001.

Since we don't have an estimate for the proportion, we use the worst case scenario, that is \pi = 0.5

So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.001 = 2.327\sqrt{\frac{0.5*0.5}{n}}

0.001\sqrt{n} = 2.327*0.5

\sqrt{n} = \frac{2.327*0.5}{0.001}

(\sqrt{n})^{2} = (\frac{2.327*0.5}{0.001})^{2}

n = 1353732.25

Rounding up

A sample size of at least 1,353,733 is required.

5 0
3 years ago
Prove that the value of the expression 7^8–7^7 +7^6 is divisible by 43.
murzikaleks [220]

Step-by-step explanation:

1. if to evaluate the given experssion, then

7⁶(7²-7+1)=7⁶*43.

2. if to divide this evaluated expression by 43, then

7⁶*43/43=7⁶.

5 0
3 years ago
5x +6y = -6
nadezda [96]

Answer:

(-6,4)

Step-by-step explanation:

If this is the system of equations here is how:

solve for 1 vairuble in the first equation, and plug that it to the other.

3 0
3 years ago
Other questions:
  • It takes 72,000 gallons of water to fill 12 above-ground swimming pools. Each pool holds the same amount of water. How many gall
    5·2 answers
  • How can I solve this equation 6+7x=55
    7·2 answers
  • you are creating identical picnic baskets using 30 sandwiches and 42 cookies. what is the greatest number of baskets that you ca
    14·2 answers
  • Suppose that the average and standard deviation of the fine for speeding on a particular highway are 111.12 and 13.04, respectiv
    12·1 answer
  • The drummer drove 18 miles to pick up the singer and then another 28 miles to the job. The rest of the band drove 52 miles to th
    11·1 answer
  • Help fast please the Q is ez for you
    11·2 answers
  • Prove algebraically that 0.5 recurring = 5/9
    11·1 answer
  • 6 times the difference of d and 5
    12·2 answers
  • X - 62 = 123<br> How should you show your work to isolate the variable and solve the equation?
    6·1 answer
  • Find the values of x and y. then find the measures of the interior angles of the polygon​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!