All categories

3 years ago

Solve each system using substitution or elimination. Show all required work. Y=-5x^2+2x-3 Y=-3x-3

Mathematics

1 answer:

zubka84 [21]3 years ago

8 0

Step-by-step explanation:

y = -5x² + 2x - 3 and y = -3x - 3.

=> -5x² + 2x - 3 = -3x - 3

=> 5x² - 5x = 0

=> 5x(x - 1) = 0

=> x = 0 or x = 1.

When x = 0, y = -3(0) - 3 = -3.

When x = 1, y = -3(1) - 3 = -6.

The solutions are (0,-3) and (1,-6).

You might be interested in

Beatrice is planning a personal budget. Which part of her budget will be easiest to change?

Lerok [7]

Answer: It’s C

Step-by-step explanation: It is easiest to change what wants you want to spend your money on. It is hard to ask for a raise or income change. And spending on needs might not change, same goes for savings.

4 0

3 years ago

Five less than a number is at least -28 written as an inequality.

andrew-mc [135]

I believe it would be (if x was the number):
x - 5 ≥ -28. Hope this helps!

5 0

3 years ago

A company is designing a new cylindrical water bottle. The volume of the bottle will be 220 cmcubed. The height of the water bot

FrozenT [24]

Answer:

Radius = 2.90 cm

Step-by-step explanation:

$Volume \: of \: Cylinder \: = \pi {r}^{2} h$

220 = 3.14 × {r}^{2} × 8.3

220 = 26.062 × {r}^{2}

220/26.062 = {r}^{2}

{r}^{2} = 8.44 ( approx )

r = √8.44

r = 2.90 cm. (approx)

Hope this helps .....

Please mark as Brainliest!!!!

4 0

4 years ago

Find the standard deviation of 21, 31, 26, 24, 28, 26

Vesnalui [34]

Given the dataset

$x = \{21,\ 31,\ 26,\ 24,\ 28,\ 26\}$

We start by computing the average:

$\overline{x} = \dfrac{21+31+26+24+28+26}{6}=\dfrac{156}{6}=26$

We compute the difference bewteen each element and the average:

$x-\overline{x} = \{-6,\ 5,\ 0,\ -2,\ 2,\ 0\}$

We square those differences:

$(x-\overline{x})^2 = \{36,\ 25,\ 0,\ 4,\ 4,\ 0\}$

And take the average of those squared differences: we sum them

$\displaystyle \sum_{i=1}^n (x-\overline{x})^2=36+25+4+4+0+0=69$

And we divide by the number of elements:

$\displaystyle \sigma^2=\dfrac{\sum_{i=1}^n (x-\overline{x})^2}{n} = \dfrac{69}{6} = 11.5$

Finally, we take the square root of this quantity and we have the standard deviation:

$\displaystyle\sigma = \sqrt{\dfrac{\sum_{i=1}^n (x-\overline{x})^2}{n}} = \sqrt{11.5}\approx 3.39$

8 0

3 years ago

PLEASE HELP QUICK!! WILL GIVE BRAINLIEST ANSWER!!!!!!!

kirill115 [55]

Answer:

X = 32

Step-by-step explanation:

Angle BEC = 43 degrees

You find X by setting up the equation 137 = 3x+41

Solve for x

You find angle BEC by subtracting 137 from 180, finding the acute angle that brings the obtuse angle up to 180 degrees (a flat line)

4 0

3 years ago

Read 2 more answers