All categories

2 years ago

Answers for both boxes please

Mathematics

1 answer:

Dafna11 [192]2 years ago

7 0

Answer y=25/3 or 8.33333 and x=0.4444443

Step-by-step explanation:

y=4(y-7/3)+3 y=4y-28+3 y=4y-25

You might be interested in

PLs help 50 PTS!!!!! PLEASE ILL GIVE BRAINLIEST!!!!!

Nookie1986 [14]

Answer:

$\large\boxed{y=\dfrac{1}{4}x^2-x-4}$

Step-by-step explanation:

The equation of a parabola in vertex form:

$y=a(x-h)^2+k$

(h, k) - vertex

The focus is

$\left(h,\ k+\dfrac{1}{4a}\right)$

We have the vertex (2, -5) and the focus (2, -4).

Calculate the value of a using $k+\dfrac{1}{4a}$

k = -5

$-5+\dfrac{1}{4a}=-4$ add 5 to both sides

$\dfrac{1}{4a}=1$ multiply both sides by 4

$4\!\!\!\!\diagup^1\cdot\dfrac{1}{4\!\!\!\!\diagup_1a}=4$

$\dfrac{1}{a}=4\to a=\dfrac{1}{4}$

Substitute

$a=\dfrac{1}{4},\ h=2,\ k=-5$

to the vertex form of an equation of a parabola:

$y=\dfrac{1}{4}(x-2)^2-5$

The standard form:

$y=ax^2+bx+c$

Convert using

$(a-b)^2=a^2-2ab+b^2$

$y=\dfrac{1}{4}(x^2-2(x)(2)+2^2)-5\\\\y=\dfrac{1}{4}(x^2-4x+4)-5$

use the distributive property: a(b+c)=ab+ac

$y=\left(\dfrac{1}{4}\right)(x^2)+\left(\dfrac{1}{4}\right)(-4x)+\left(\dfrac{1}{4}\right)(4)-5\\\\y=\dfrac{1}{4}x^2-x+1-5\\\\y=\dfrac{1}{4}x^2-x-4$

3 0

3 years ago

Please find the area 420ft2 210ft2

Minchanka [31]

Answer:

Area= L×B

Area=420ft²×210ft²

Area=88200ft²

7 0

2 years ago

Which values are solutions to the inequality below? Check all that apply.

matrenka [14]

You have this....

√x > 8

This means that the square root of something is greater than 8.

So plug in everything for x and find the answer.

Anything 64 and below is NOT THE ANSWER.

√64 = 8, and 8 is not greater than 8, so anything 64 and below is wrong.

So the answer is...

D and F.

4 0

2 years ago

HELP IM FAILING IF HELP U WILL GET 8 POINTS <3 AND HELP ME

algol [13]

The area of the red part is greater than the area of the blue part.

3 0

2 years ago

Read 2 more answers

Nikki can drive her car 22 miles on each gallon of gasoline. If Nikki drives m miles, which expression represents the number of

raketka [301]

Car gets 22 miles per gallon
If you drive "m" miles then

(m/22) shows how many gallons of gas you will use.

6 0