4. Solve each equation for x. (8 points: 2 points each)

a.) 3x-12y=27

b.) 6x-7y=-2

c.) 4x-k=17

d.) kx+c=9

Answer:

10, 28, 46, 82

Step-by-step explanation:

this could be wrong im  not very good with domain and range

Answer:

I believe the answer is A and I'm sorry if I'm wrong

graph best represents the solution set of -4x <- 6y - 54 graph C. Option C is the correct option.

graph best represents the solution set of -4x < -6y - 54.

Inequality can be defined as the relation of an equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Since the Question seems to be incomplete, The Correct inequality in the question could be  -4x < -6y - 54.
Here, graph C represents the inequality. Because y-intercept is y = -9
and the x-intercept for the inequality is x = 13.5. And it's below shaded and no boundary element can be included because of < sign.

Thus, the graph best represents the solution set of -4x < -6y - 54 graph C. Option C is the correct option.

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The question given is incomplete, Answer is correct for the solution is based on the assumed data mentioned in the question.

Answer:

40.6 degrees

Step-by-step explanation:

SOHCAHTOA

here, the tan of the missing angle = opposite / adjacent

tan(x) = 6/7

using graphing calculator obtain x = 40.61, round to 40.6 for nearest tenth

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Answer:

0.11

Step-by-step explanation:

7.26 / 66 = 0.11

hope this helps <3

Answer:

6

Step-by-step explanation:

10 percent decimal form = 0.10

60 * 0.10 = 6

Answer:

Range - a  is y<k

Range + a is y>k

Doman always all real numbers

Step-by-step explanation:

Answer:

domain- always all real numbers

and im not too certain about the last 2 but im pretty sure that

range-a is less than or equal to whereas range+a is more than or equal to.

Answer:

8:2

32:8

Step-by-step explanation:

It's pretty simple:

If there's 32 boys, which is 4 times the amount you start with, you have to apply that to the number of girls as well since for every 8 boys, there is 2 girls.

8x4

2x4

32:8 Hope this helps

Answer:

8 girls are wearing neon blue.

Step-by-step explanation:

There are several ways to do this but one of them is to find how many groups of 8 boys are in 32. To do this we divide 32 by 8 which equals 4. We then multiply 2 by 4 which is 8.

Answer:

x+x=8

that's mean: 2.x/4 + 4.x/1 = 18/1

we find at least a common multiple of 4 and multiply the units by 4

2x + 16x = 72

18x = 72/:18

x = 4

Answer: 7

suppose: the smaller number is a

the larger number is b

because The sum of two numbers is 8 => a + b = 8 (1)

four times the smaller  number is added to two times the larger number, the result  is 18 => 4a + 2b = 18 (2)

(1)(2) => a + b = 8

              4a + 2b = 18

<=> a = 1

     b = 7

=> the larger number is 7

Step-by-step explanation:

Answer:

Boulders:

1 - 10

2 - 20

3 - 30

4 - 40

5 - 50

Manhattan Rocks:

1 - 15

2 - 20

3 - 25

4 - 30

5 - 35

B. 10 hours, Ismael should go to Manhattan Rocks because 35 times 2 is 70 and 50 times 2 is 100. Manhattan Rocks would only be 70 compared to 100.

C. is for you to decide

Step-by-step explanation:

Answer:

option b the median would decrease

Answer:

I think it’s D

Step-by-step explanation:

Answer:

gay

Step-by-step explanation:

Answer:

25 liters

Step-by-step explanation:

60/12=5

5*5=25

Answer:

25 liters of juice

Step-by-step explanation:

5 liters of juice=12 guests Multiply both sides by 5

25 liters of juice=60 guests

Answer:

X=18.4

Step-by-step explanation:

3x-5+9(72/8)+4=2(4x-6)

3x-5+9(9)+4=2(4x-6)

3x-5+81+4=8x-12

3x-5+85=8x-12

3x+80=8x-12

3x-8x=-12-80

-5x=-92

x=-92/-5

x=18.4

Checking our work:

3(18.4)-5+9(72/8)+4=2(4(18.4)-6)

55.2-5+9(9)+4=2(73.6-6)

55.2-5+81+4=2(67.6)

50.2+85=135.2

135.2=135.2

Answer:

-10

Step-by-step explanation:

w2 is -2x-2

2xy is getting times together -3x1

Answer:

(-3,4)

Step-by-step explanation:

to solve for x, make y=0

to solve for y, make x=0

Well, you didnt give answer choices, BUT go onto desmos and use the graphing calculator to figure it out :)

Answer:

The answer is

[tex] \sqrt{65} [/tex]

Step-by-step explanation:

We need to find the distance as instructed.

Its formula is:

[tex]d = \sqrt{(x_2 - x_1) ^{2} + (y_2 - y_1)^{2} } [/tex]

Let's plug in according to the formula and solve.

[tex]d = \sqrt{(x_2 - x_1) ^{2} + (y_2 - y_1)^{2} } \\ d = \sqrt{( - 7 - 1) ^{2} + (2 - 3)^{2} } \\ d = \sqrt{64 + 1} \\ d = \sqrt{65} [/tex]

Answer:

Reason 1 is: Addition

Reason 2 is: Tangent sum identity

Reason 3 is: Simplify  

Step-by-step explanation:

I just did it on edge 2020

Answer:

Reason 1 is: Addition

Reason 2 is: Tangent sum identity

Reason 3 is: Simplify  

Step-by-step explanation:

Answer:

This equation shows you how financial aid increases $3000 for every additional sibling, starting at $15,000.

Step-by-step explanation:

This equation means that for every sibling there is an additional $3000 in financial aid. When there are no siblings there is an automatic $15000 in financial aid.

Since you can't have "negative number" of siblings, the domain must begin with 0. You can have a lot of siblings, so let's put the end of domain as infinity.

Domain = [0, ∞)

If you substitute in this domain into the equation, the range will be the output. The least will be $15,000 and the most will be infinity as well.

Range = [15000, ∞)

please give thanks and click heart button :)

Answer:

[tex]0.2\ km\ per\ minute[/tex]

Step-by-step explanation:

[tex]As\ we\ are\ given\ that,\\Time\ Jerry\ takes\ with\ the\ Force\ of\ Wind\ in\ his\ direction=10\ minutes\\Time\ Jerry\ takes\ with\ the\ Force\ of\ Wind\ against\ his\ direction=15\ minutes\\Considering\ only\ the\ direction\ of\ the\ forces\ are\ opposite\ and\ the\\ magnitudes\ equal,\\Let\ the\ time\ Jerry\ take\ travelling\ through\ a\ still\ wind\ be\ x\\Let\ the\ Force\ of\ wind\ be\ F.\\Hence,\\x+F=10\\x+(-F)=15\\By\ simply\ adding\ the\ equations,\\2x=10+15\\2x=25\\x=\frac{25}{2}\\[/tex]

[tex]x=12.5\\Hence,\\Time\ taken\ by\ Jerry\ during\ a\ still\ wind=12.5\ seconds.\\We\ also\ observe\ that\ 12.5\ is\ the\ mean\ of\ 10\ and\ 15\ and\ lies\ between\\ the\ two\ extremes.\\Hence,\\As\ we\ now\ know\ that,\\Distance\ from\ the\ library=2.5\ km\\Time\ taken\ by\ Jerry\ during\ the\ still\ wind=12.5\ minutes\\Hence,\ we\ know\ that\\Speed=\frac{Distance}{Time}\\Here,\\Speed=\frac{2.5}{12.5}\\Speed=\frac{1}{5}\ or\ 0.2\ km\ per\ minute[/tex]

Answer:

Step-by-step explanation:

RMJ = MPT = 90                     Perpendicular lines create right angles (90o)

PM = RJ                                   Given

TM = MJ                                   Definition of a midpoint

PT = MR                                   Two equal legs of a right triangle makes the third   side of each equal by a^2 + b^2 = c^2

ΔPTM = ΔJMR                               Side Side Side

There are other ways of doing this. This is one way.

Answer:

The correct answer is: Option 2

[tex]y+1 = \frac{8}{9}(x+4)[/tex]

Step-by-step explanation:

Point-slope form of an equation is given by:

[tex]y-y_1= m(x-x_1)[/tex]

Here m is the slope of the line and (x1,y1) is the point from which the line passes

Given points are:

(-4,-1) and( 5,7)

Slope is given by the formula:

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\m=\frac{7-(-1)}{5-(-4)}\\m = \frac{7+1}{5+4}\\m = \frac{8}{9}[/tex]

Now we will put the first point and slope in general form of equation of line

[tex]y-(-1) = \frac{8}{9}(x-(-4))\\y+1 = \frac{8}{9}(x+4)[/tex]

Hence,

The correct answer is: Option 2

[tex]y+1 = \frac{8}{9}(x+4)[/tex]

Answer:

-3/2

Step-by-step explanation:

Answer:

YOU CHEAT ON QUIZ

Step-by-step explanation:

WHY YOU CHEAT BAD

The answer is A

In this problem, we're dealing with tan since we're working with the opposite and adjacent sides.

Remember SOH CAH TOA which means

Sin: Opposite over Hypotenuse,

Cos: Adjacent over Hypotenuse,

and Tan: Opposite over Adjacent

to remember what sin cos and tan means

So to set up a tan equation we have to do

tan(angle) = opposite side length/adjacent side length

The first equation is tan(25) = 50/x

because we have to find the length of the adjacent side so we can find how far away the tree is.

which is about 107.2 ft

The second equation is tan(50) = 50/x

because now we have to find how far away the tree is once the angle of elevation is twice the measure of the original angle (which is 50)

which is about 41.9 ft

After we subtract the two values, you get 65.3 so the answer is A.

I hope this helps!

Two make the angle from the top of the tree to the ground distance should be 41.95 ft.

A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.

Given, The angle of elevation from a point on level ground to the top of a 50-ft tree is 25".

Since it makes a right-angle triangle with the tree that has a height of 50

Also given, At another angle from the ground that is twice the previous angle calculate the base.

Thus, the new angle will be 50°

thus, the base of the triangle:

Since. tan α = height/ base

in our case, α is 50°

height = 50 ft

tan α = 50 / base

base = 50/tan 50°

Base = 41.95 ft

therefore, Two make the angle from the top of the tree to the ground distance should be 41.95 ft.

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Answer:

10

Step-by-step explanation:

thats the answer

x=5

2x=10

x√3=√170