Ask question

Ask question

All categories

3 years ago

14

Y-3=5(x-2) what are the intercepts t of x and y x=(_,_) y=(_,_)

1 answer:

yan [13]3 years ago

4 0

$The\ x\ intercept\ is\ (\frac{7}{5}, 0)$

The y intercept is (0, -7)

<em><u>Solution:</u></em>

<em><u>Given equation is:</u></em>

y - 3 = 5(x - 2)

<em><u>Find the x intercept</u></em>

Substitute y = 0 in given equation

$0-3=5(x-2)\\\\-3=5x - 10\\\\5x = -3 + 10\\\\5x = 7\\\\x = \frac{7}{5}\\\\Thus\ the\ x\ intercept\ is\ (\frac{7}{5}, 0)$

<em><u>Find the y intercept:</u></em>

Substitute x = 0 in given equation

$y - 3 = 5(0-2)\\\\y - 3 = -10\\\\y = -10 + 3\\\\y = -7$

Thus the y intercept is (0, -7)

You might be interested in

You have $50 in your savings account.Each week you deposit $5 in your account. Write an expression that models the situation.

Lemur [1.5K]

50+30y

It is 30y because there are 7 days in a week and each week you deposit $5 so 5*7 is 30.

3 0

3 years ago

The first two terms in an arithmetic progression are -2 and 5. The last term in the progression is the only number in the progre

Rudik [331]

Given:

The first two terms in an arithmetic progression are -2 and 5.

The last term in the progression is the only number in the progression that is greater than 200.

To find:

The sum of all the terms in the progression.

Solution:

We have,

First term : $a=-2$

Common difference : $d = 5 - (-2)$

$= 5 + 2$

$= 7$

nth term of an A.P. is

$a_n=a+(n-1)d$

where, a is first term and d is common difference.

$a_n=-2+(n-1)(7)$

According to the equation, $a_n>200$ .

$-2+(n-1)(7)>200$

$(n-1)(7)>200+2$

$(n-1)(7)>202$

Divide both sides by 7.

$(n-1)>28.857$

Add 1 on both sides.

$n>29.857$

So, least possible integer value is 30. It means, A.P. has 30 term.

Sum of n terms of an A.P. is

$S_n=\dfrac{n}{2}[2a+(n-1)d]$

Substituting n=30, a=-2 and d=7, we get

$S_{30}=\dfrac{30}{2}[2(-2)+(30-1)7]$

$S_{30}=15[-4+(29)7]$

$S_{30}=15[-4+203]$

$S_{30}=15(199)$

$S_{30}=2985$

Therefore, the sum of all the terms in the progression is 2985.

6 0

3 years ago

Help me with this Please.

sukhopar [10]

35
the ratio for the two is 5:7 and you want to find _:49. to get from 7 to 49 you multiply the 7 by 7. because you did that to one side you have to do the same to the other and multiply 5 by 7 which gives you 35

6 0

2 years ago

Write the equation of the line that passes through the points (-6,1) and (-2,5). Put your answer in fully reduced point-slope fo

irinina [24]

(-6,1)
(-2,5)

Slope:-

$\\ \sf\longmapsto m=\dfrac{5-1}{-2+6}=\dfrac{4}{4}=1$

Point-Slope form

$\\ \sf\longmapsto y-y_1=m(x-x_1)$

$\\ \sf\longmapsto y-1=1(x+6)$

$\\ \sf\longmapsto y-1=x+6$

$\\ \sf\longmapsto x-y+7=0$

3 0

3 years ago

Create a equation for this exponential function

Evgen [1.6K]

Answer:

f(X) 70x49

Step-by-step explanation:

5 0

2 years ago