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2 years ago

8

What is the measure of

1 answer:

Sever21 [200]2 years ago

8 0

Answer: B

Step-by-step explanation:

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Solve the inequality <br> 29-2(3-5w) 13

valentinak56 [21]

Answer:

29-2(2w)13

29-2(26w)

29-52w

w=52÷29

7 0

3 years ago

Let $f(x) = 2x^2 + 3x - 9,$ $g(x) = 5x + 11,$ and $h(x) = -3x^2 + 1.$ Find $f(x) - g(x) + h(x).$

Viefleur [7K]

QUESTION 1

Given that:

$f(x)=2x^2+3x-9$ ,

$g(x)=5x+11$ ,

and

$h(x)=-3x^2+1$

Then;

$f(x)-g(x)+h(x)=2x^2+3x-9-(5x+11)+(-3x^2+1)$

$f(x)-g(x)+h(x)=2x^2+3x-9-5x-11-3x^2+1$

Group similar terms;

$f(x)-g(x)+h(x)=2x^2-3x^2+3x-5x-11-9+1$

Simplify;

$f(x)-g(x)+h(x)=-x^2-2x-19$

QUESTION 2

Given that;

$f(x)=4x-7$ .

$g(x)=(x+1)^2$

and

$s(x)=f(x)+g(x)$

Substitute the functions;

$s(x)=4x-7+(x+1)^2$

Substitute x=3

$s(3)=4(3)-7+(3+1)^2$

$s(3)=12-7+(4)^2$

$s(3)=5+16$

$s(3)=21$

QUESTION 3

Given:

$f(x)=3x+2$

$g(x)=x^2-5x-1$

$f(g(x))=f(x^2-5x-1)$

This implies that;

$f(g(x))=3(x^2-5x-1)+2$

Expand the parenthesis;

$f(g(x))=3x^2-15x-3+2$

$f(g(x))=3x^2-15x-1$

QUESTION 4

The given function is;

$f(x)=3(x-6)^2+1$

Let

$y=3(x-6)^2+1$

$\Rightarrow y-1=3(x-6)^2$

$\Rightarrow \frac{y-1}{3}=(x-6)^2$

$\Rightarrow \sqrt{\frac{y-1}{3}}=x-6$

$\Rightarrow x=6+\sqrt{\frac{y-1}{3}}$

The range is:

$\frac{y-1}{3}\ge0$

$y-1\ge0$

$y\ge1$

The interval notation is;

$[1,+\infty)$

6 0

3 years ago

Simplify the following surd expressions

AlexFokin [52]

Answer:

A) $\sqrt{2}$

B) $4\sqrt{11}$

Step-by-step explanation:

A) You can add these expression because they contain the same square root:

$6\sqrt{2} - 5\sqrt{2} = (6 - 5)\sqrt{2} =\sqrt{2}$

B) Same as above:

$\sqrt{11} + 3\sqrt{11} = (1 + 3)\sqrt{11} = 4\sqrt{11}$

3 0

2 years ago

Read 2 more answers

Evaluate 2y+x2÷4 when x=6 and y=4. I got 44 but it said it was wrong please help need an explanation as well

statuscvo [17]

Answer:

17

Step-by-step explanation:

2 (4) + 6^2 / 4 = 8 + 36 / 4 = 8 + 9 = 17.

When solving these types of problems, make sure to use BEDMAS. For example, in this question, do x^2 / 4 before 2y + (x^2 / 4).

7 0

2 years ago

PLEASEEE HELPPP MEEE I HAVE TO TURN THIS IN SOOONNN

____ [38]

Answer:

search that to quick math

Step-by-step explanation:

.,..........

3 0

2 years ago