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2 years ago

£(2= (1,5),(0,-2)，(3,2)}

Mathematics

1 answer:

zlopas [31]2 years ago

5 0

Answer:

Step-by-step explanation:

h(4)=-1

g(h(4))=g(-1)=3

f(3)=2

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What are the zeros of the quadratic function f(x) = 2x2 + 8x – 3? x = –2 – StartRoot StartFraction 11 Over 2 EndFraction EndRoot

Phantasy [73]

Answer:

The zeros are

$x=-2+\frac{\sqrt{22}}{2}$

$x=-2-\frac{\sqrt{22}}{2}$

Step-by-step explanation:

we have

$f(x)=2x^{2}+8x-3$

we know that

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

Equate the function to zero

$2x^{2} +8x-3=0$

$a=2\\b=8\\c=-3$

substitute in the formula

$x=\frac{-8\pm\sqrt{8^{2}-4(2)(-3)}} {2(2)}$

$x=\frac{-8\pm\sqrt{88}} {4}$

$x=\frac{-8\pm2\sqrt{22}} {4}$

$x=-2\pm\frac{\sqrt{22}}{2}$

therefore

$x=-2+\frac{\sqrt{22}}{2}$

$x=-2-\frac{\sqrt{22}}{2}$

4 0

4 years ago

Read 2 more answers

Ralphie's dad has a nutritionist who instructed him to consume less than 2,147 calories per day. He has already consumed 1,575 c

REY [17]

Answer:

Ralphie's dad can eat 8 fruit bars without going over his calorie allotment.

Step-by-step explanation:

Given,

Per day calorie intake limit = less than 2126 calories

Calories are already taken = 1586 calories

Calories in each fruit bar = 66 calories

Let,

x be the number of fruit bars that Ralphie's dad can consume.

Calories in each fruit bar*Number of fruit bars + calories already taken < per day limit

Dividing both sides by 66

5 0

2 years ago

Calculus help??????

katen-ka-za [31]

$f(x)=\ln x\implies f'(x)=\dfrac1x$
$g(x)=x^2-1\implies g'(x)=2x$

You have $2x^2>1$ for all $x\ge1$ , and dividing by $x$ gives $2x>\dfrac1x$ , or $g'(x)>f'(x)$ . By the racetrack principle, then, it follows that $g(x)>f(x)$ .

7 0

3 years ago

I need help finding this answer ASAP

Darya [45]

Answer:

First & Third options

Step-by-step explanation:

$\bigg( {5}^{ \frac{3}{8}} \: . {5}^{ \frac{1}{8}} \bigg)^{3} \\ \\ = \bigg( {5}^{ \frac{3}{8} + \frac{1}{8}} \bigg)^{3} \\ \\ = \bigg( {5}^{ \frac{4}{8}} \bigg)^{3} \\ \\ = \bigg( {5}^{ \frac{1}{2}} \bigg)^{3} \\ \\ = {5}^{ \frac{3}{2}} \\ \\ = \sqrt{ {5}^{3} } \\ \\ \huge\red{ \boxed{\therefore \bigg( {5}^{ \frac{3}{8}} \: . {5}^{ \frac{1}{8}} \bigg)^{3}= \sqrt{ {5}^{3} } }}$

8 0

4 years ago

Help please also due tomorrow so thanks also it's question number 4

Veseljchak [2.6K]

Fin how much was taken out
9 750 ml
9 times 750=6750ml

he has an 8 liter jug
1 liter=1000ml
convert 8L to ml
8 times 1000=8000ml

full-takenout=remaining
8000-6750=1250ml remaining

answer is D

also 5 kilometers
1 kilometer=1000 meters
5 times 1000=5000meters

answers are
D 1250 ml
5000meters jogged

8 0

3 years ago