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3 years ago

7

Solve y=x^2 + 7 for x

1 answer:

crimeas [40]3 years ago

5 0

Hello! To solve for x means to isolate x:

y = x^2 + 7
y - 7 = x^2
sqrt(y - 7) = x

Answer:
x = sqrt(y - 7)

Hope this helps!

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X-(-27)=35-12 solving equation

irakobra [83]

-4 is the correct answer
35-12 =25
-4 - ( -27) = -4 + 27 =23

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3 years ago

What is the slope of the line that contains the points (4, 3) and (2, 7)?

zubka84 [21]

Answer:

-2

Step-by-step explanation:

given 2 points on a line (x1, yx) and (x2,y2)

the formula for slope, m = (y2-y1) / (x2-x1)

in this case,

x1 = 4, y1 = 3, x2 = 2, y2 = 7

Hence,

m = (7-3) / (2-4) = 4 / -2 = -2

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3 years ago

Ian measured a city park and made a scale drawing. In real life, the soccer field is 114 meters long. It is 19 millimeters long

ioda

Answer:

1 mm : 6 m

Step-by-step explanation:

Take the 19 mm and divide it by 114 meters. to get the scale

19/114 = 1/6

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8 0

3 years ago

Find the product of 2(5.9) mentally using the distributive property.

VARVARA [1.3K]

2(5.9) is 11.8

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7 0

3 years ago

A group of three undergraduate and five graduate students are available to fill certain student government posts. If four studen

creativ13 [48]

Answer:

$Pr = 0.4286$

Step-by-step explanation:

Given

Let

$U \to\\$ Undergraduates

$G \to$ Graduates

So, we have:

$U = 3; G =5$ -- Total students

$r = 4$ --- students to select

Required

$P(U =2)$

From the question, we understand that 2 undergraduates are to be selected; This means that 2 graduates are to be selected.

First, we calculate the total possible selection (using combination)

$^nC_r = \frac{n!}{(n-r)!r!}$

So, we have:

$Total = ^{U + G}C_r$

$Total = ^{3 + 5}C_4$

$Total = ^8C_4$

$Total = \frac{8!}{(8-4)!4!}$

$Total = \frac{8!}{4!4!}$

Using a calculator, we have:

$Total = 70$

The number of ways of selecting 2 from 3 undergraduates is:

$U = ^3C_2$

$U = \frac{3!}{(3-2)!2!}$

$U = \frac{3!}{1!2!}$

$U = 3$

The number of ways of selecting 2 from 5 graduates is:

$G = ^5C_2$

$G = \frac{5!}{(5-2)!2!}$

$G = \frac{5!}{3!2!}$

$G =10$

So, the probability is:

$Pr = \frac{G * U}{Total}$

$Pr = \frac{10*3}{70}$

$Pr = \frac{30}{70}$

$Pr = 0.4286$

5 0

3 years ago