Which is the graph of g(x)?

9514 1404 393

Answer:

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relevant relationships.

__

1. Cos = Adjacent/Hypotenuse

  cos(52°) = AC/AB

  AB = AC/cos(52°) = 10.01/0.616

  AB = 16.25

__

2. Tan = Opposite/Adjacent

  tan(42°) = GH/HI = 11/HI

  HI = 11/tan(42°) = 11/0.90

  HI ≈ 12.22

Answer:

x = 6.9

Step-by-step explanation:

We're going to use SOH CAH TOA.

If we look at the angle (58°), and see what the relevant sides of the triangle are, we can see that the hypotenuse (our known side) is the H (hypotenuse), and the side labelled 'x' (our unknown side) is the A (adjacent).

According to SOH CAH TOA, we'll use cos (C), since we're working with the adjacent and the hypotenuse.

The equation for CAH is cos (Ф°) = A/H

In this case, Ф = 58°, A = x, and H = 13

So cos (58°) = x/13

Solve for x by multiplying both sides by 13 and using your calculator to evaluate.

13 cos (58°) = x

x = 6.88895

To the nearest tenth, x = 6.9

Answer:

y=((−3(x−3))(6))( 1/2)+6

Step-by-step explanation:

Answer:

Just pick one step below I guess...

Step-by-step explanation:

I'll just solve it because I don't know which step you're looking for.

Move everything except for the 7 to one side:

[tex]x^2-12x=-7[/tex]

Now take the square of half of the coefficient for the x and add it to both sides.

[tex]x^2-12x+36=29[/tex]

You can see that the side can now be factored.

[tex](x-6)^2=29[/tex]

[tex]x-6=\sqrt{29}[/tex]

[tex]x=\sqrt{29}-6, x=-\sqrt{29} -6[/tex]

The solutions to the quadratic equation are:

[tex]x=6 -\sqrt{29}[/tex] or [tex]x=6 +\sqrt{29}[/tex]

The given equation is:

[tex]x^2=12x-7[/tex]

The equation can be re-written as:

[tex]x^2 - 12x = -7[/tex]

Add [tex]6^2[/tex]  to both sides of the equation

[tex]x^2-12x+6^2=-7+6^2\\\\x^2-12x+6^2=-7+36\\\\[/tex]

The expression can be further simplified as:

[tex](x-6)^2=29[/tex]

Take the square root of both sides

[tex]x-6=\pm\sqrt{29} \\\\x=6 \pm\sqrt{29}[/tex]

The solutions to the quadratic equation are:

[tex]x=6 -\sqrt{29}[/tex] or [tex]x=6 +\sqrt{29}[/tex]

Learn more on completing the square here: https://brainly.com/question/10449635

Answer:

Graph the absolute value using the vertex and a few selected points.

x        y

-2     7.67

-1      7.17

0      [x+2 over 3] + 14

                 2

1      7.83

2      8.33

hopes this helps :)

Answer:

a

Step-by-step explanation:

11-9=2 and 2 times 7 is 14, 14 plus 12 is 26 ,and 26=26 is a true statement

Answer:

21

Step-by-step explanation:

Answer:

the answer is 21

Step-by-step explanation:

Answer:

1 . x = 9,

2 . n = 4,

3 . Clare made an error in the 2nd step; Correct answer is y = - 65 / 11

Step-by-step explanation:

1 .

[tex]2 * ( x + 5 ) = 3x + 1 - Apply Distributive Property,\\\\2x + 10 = 3x + 1 - Subtract 2x from Either Side,\\10 = x + 1 - Subtract 1 from Either Side,\\\\x = 9,\\Conclusion; x = 9[/tex]

2 .

[tex]3 * ( n + 2 ) = 9 * ( 6 - n ) - Apply Distributive Property,\\\\3n + 6 = 54 - 9n - Add ( 9n ) on Either Side,\\12n + 6 = 54 - Subtract 6 from Either Side,\\\\12n = 48 - Divide Either Side by 12,\\n = 4,\\\\Conclusion; n = 4[/tex]

3 . Clare made an error in the second step ( 72 + 24y = 4y - 5 - 9y ) and to derive the correct solution, see the following steps below;

[tex]12 * ( 5 + 2y ) = 4y - ( 5 - 9y ),\\60 + 24y = 4y - 5 + 9y,\\65 + 24y = 4y + 9y,\\65 + 24y = 13y,\\\\65 = - 11y,\\y = - 65 / 11\\\\Conclusion; y = - 65 / 11[/tex]

Answer:

38.2

Step-by-step explanation:

The total number of people who prefer burgers is

26+42 =68

The number who are female is  26

The fraction of women  that prefer burgers is

26/68 =.382352941

Changing to a percent

38.2%

Answer: Yes

Step-by-step explanation: The area of a triangle equals 180°

100+60+20=180

Answer: Yes

Explanation: The sum of the measures of the angles is always 180°

This idea is known as the (Triangle Sum Theorem).

Since 20 + 60 + 100 is equal to 180, we know

that these measures can form a triangle.

Answer:

y=2

x=2

y=x2+2

y= lx+2l

Step-by-step explanation:

This is because these are the simplest forms of the equation. seeing as a function is f(x) (which is the same as y) when an equation is equal to a single variable, it is "solved" for hat variable and therefore best represents the equation of the function :)

Answer:

5 is the highest/greatest common factor

Step-by-step explanation:

For this, we'll factor it out:

=> 10a-25+5b

Taking 5 common

=> 5(2a-5+b)

Since All are divisible by 5, So 5 is the highest common factor.

Answer:

5

Step-by-step explanation:

Answer: The slope represents the RATE at which Matthew read pages in x hours.

Step-by-step explanation:

While I can not see the graph, I can conclude the representation from your sentence. Slope usually describes cases where an action increases or decreases over time if that makes sense. I can help you with the calculation if you add the graph! I hope this helped a bit!

Answer:

D x+6 is the correct answer

Answer:

[tex]1.6 \times 10^{-6}[/tex]

Step-by-step explanation:

[tex](8 \times 10^{-3}) \times (2 \times 10^{-4})[/tex]

[tex]8 \times 2 \times 10^{-3} \times 10^{-4}[/tex]

[tex]16 \times 10^{-3+(-4)}[/tex]

[tex]16 \times 10^{-3-4}[/tex]

[tex]16 \times 10^{-7}[/tex]

[tex]1.6 \times 10^{-6}[/tex]

Answer:

(8 × 10^-3)× ( 2× 10 ^-4)

reorder the terms

You will get

(8 × 2) ( 10^ -3 × 10^-4)

Multiply

16 ( 10^ -3 × 10^-4)

Use the rules of indices

a^ b × a^ c = a^b+c

16(10^-3-4)

16(10^-7)

= 16 × 10^-7 or 1.6 × 10^-6 or 0.0000016

Hope this helps.

Answer:

C and F

Step-by-step explanation:

Using this those are the only two that make sense

Answer:

Step-by-step explanation:

Answer:

9/5+3/1

24/5 24/5 24/5 24/5 24/5 24/5

i think copies is a multiplication and sum is to add together so

6x(9/5+3)

9/5 is 1 whole and 4/5. 1 whole plus 3 wholes is 4 Wholes so it is 4 wholes and 4/5 which is 24/5.

6x24/5 is (6x24 is 144) so its 144/5 so its 28 wholes and 4/5.

Answer:

The correct option is;

Experimental study

Step-by-step explanation:

We note that an observational study is one where the person who carries out the study only puts together data or observes the effect of a factor, an intervention or a test and comes to conclusion based on what is observed without trying to control the variables while an experiment involves the application of an intervention to the group and taking down the effects.

The conditions of the study is directly under the influence of the researcher in an experiment such that the cause and effect relationship of an event can clearly be proved

Therefore, Jada is performing an experimental study.

Answer:

step 3 has incorrect justification.

Step-by-step explanation:

because it was combine like terms but 8 is still in left hand side. So,combine like terms 3 has incorrect justification.

Answer:

Step 3

Step-by-step explanation: Combine like terms but 8 is still in the left side, so combine like terms 3 has incorrect justification.

It is an irrational number, as it is neither terminating nor non-terminating recurring.

Answer:

It is irrational

Step-by-step explanation:

It is not terminating and it doesnt repeat it self

Answer:

a) square pyramid

b)sphere

c)cube

d) pyramid

Step-by-step explanation:

Answer:

Step-by-step explanation:

A: square based pyramid

B: sphere

C: Cube

D: Tetrahedron

Answer:

7.5m

Step-by-step explanation:

1cm:2.5m

3cm:7.5m

Answer:

50

Step-by-step explanation:

Using the experimental probability, first we have to find total amount paint then to find the amount of good quality forever paint we have to subtract the amounts of other paints from total amount.

Let x represents the amount of good quality forever paint sold.

Total amount of paint [tex]=48+45+35+39+33+x=200+x[/tex]     ...(i)

Experimental probability of paint sold will be better quality durable paint is

[tex]P=\dfrac{\text{Amount of better quality durable paint}}{\text{Amount of total paint}}[/tex]

[tex]P=\dfrac{45}{\text{Amount of total paint}}[/tex]

It is given that experimental probability of paint sold will be better quality durable paint is [tex]\frac{9}{50}.[/tex]

[tex]\frac{9}{50}=\dfrac{45}{\text{Amount of total paint}}[/tex]

[tex]\text{Amount of total paint}=\dfrac{45\times 50}{9}[/tex]

[tex]\text{Amount of total paint}=250[/tex]     ...(ii)

From (i) and (ii), we get

[tex]200+x=250[/tex]

[tex]x=250-200[/tex]

[tex]x=50[/tex]

Therefore, 50 gallons good quality forever paint is sold.

Answer:

Step-by-step explanation:

Area = L * B = 9 * 3 = 27 square feet

F.

Step-by-step explanation:

sorry i gusstn guesst it

Answer: [tex]\dfrac{4}{8}=\dfrac{y}{14}[/tex]

Step-by-step explanation:

in the given figure, we can observe that both triangles are similar since they have two equal angles of 100° and 60° .[By AA similarity criteria]

Also, the corresponding sides of similar triangles are proportional.

As side with measure 8 in bigger triangle corresponds side with measure 4 on the smaller triangle. [shortest side]

Similarly, side with measure 14 in bigger triangle corresponds side with measure y on the smaller triangle.  [longest side]

Using proportionality, we have

[tex]\dfrac{4}{8}=\dfrac{y}{14}[/tex]

Hence, the proportion can be used to find the value of y is [tex]\dfrac{4}{8}=\dfrac{y}{14}[/tex].

Answer:20000

Step-by-step explanations

Answer:

B

Step-by-step explanation:

Answer:

the answer is Cccccccc

Answer: the answer is C

Step-by-step explanation: