If the water level in a lake drops by 14 feet, the water level will still be higher than the 20-foot mark that triggers restricted water use. If L is the water level, which inequality and solution represents this situation?
A. L - 14 > 20; L > 34
B. L - 14 20; L > 6
D. L + 14 < 20; L < 6

Answer:

slope = 5

y intercept = -3

Equation = y=5x-3

Step-by-step explanation:

-8-7/(-1-2)=5

plug in a point to find y intercept

7=5(2)+b

solve for b

b=-3

write final equation:

y=5x-3

(can I get brainliest please)

Answer:

Henry has 3 apples

Step-by-step explanation:

Given:

Functions are

[tex]f(x)=\dfrac{1}{3}x^2+4[/tex]

[tex]g(x)=9x-12[/tex]

To find:

The value of [tex]g(f(x)).[/tex].

Solution:

We have,

[tex]g(f(x))=g(\dfrac{1}{3}x^2+4)[/tex]        [tex][\because f(x)=\dfrac{1}{3}x^2+4][/tex]

[tex]g(f(x))=9(\dfrac{1}{3}x^2+4)-12[/tex]        [tex][\because g(x)=9x-12][/tex]

[tex]g(f(x))=9(\dfrac{1}{3}x^2)+9(4)-12[/tex]

[tex]g(f(x))=3x^2+36-12[/tex]

[tex]g(f(x))=3x^2+24[/tex]

Therefore, the required function is [tex]g(f(x))=3x^2+24[/tex].

Following are the calculation to the given function:

Given:

[tex]f(x)=\frac{1}{3}x^2+4 \\\\g(x)=9x-12[/tex]

To find:

[tex]g(f(x))=?[/tex]

Solution:

[tex]f(x)=\frac{1}{3}x^2+4 \\\\g(x)=9x-12[/tex]

[tex]\to g(f(x))=g( \frac{1}{3} x^2+4) \\\\[/tex]

                [tex]=9( \frac{1}{3} x^2+4)-12 \\\\=\frac{9}{3}x^2+36-12 \\\\=3x^2+24 \\[/tex]

Therefore, the answer is "[tex]24+3x^2[/tex]" .

Learn more about the g(f(x)):

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Answer:

The coordinates of point A' will be: A'(-2, 0)

Step-by-step explanation:

We know that a translation is basically a transformation that occurs when an object is moved from one place to another place.

Translation does not change the size, orientation, or shape of the original object.

Translating a point P(x, y) 4 units up means we need to add to use P'(x, y+4), that is adding 4 units to the y-coordinate of the point P'(x, y).

Now we have to translate the triangle 4 units up. So, use the formula

P(x, y) → P'(x, y + 3)

Thus, the coordinates of point A' will be:

A(-2, -3) → A'(-2, -3+3) → A'(-2, 0)

Therefore, the coordinates of point A' will be: A'(-2, 0)

Answer:

false

Step-by-step explanation:

I'm not sure how to answer this. How you need to do is take the two smaller sides and add them. If they are greater than the largest side, you can make a triangle.

I would say that the statement is false. If you subtract, you could get a minus number, and that would be an absurd result.

Answer: x≥-3

Step-by-step explanation:

-(4x-5)+16x≥-31

-4x+5+16x≥-31

12x+5≥-31

   -5  -5

12x≥-36

12/12x≥-36/12

x≥-3

hope this helped :)

Answer:

The answer is  2/405Xmn with an exponent of 5 at the end

The value of 'x' or the length of the base of the triangle is [tex]\sqrt{141}[/tex] units.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know, In right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

The given triangle has a hypotenuse of 25 units and a height of 22 units.

Therefore,

Hypotenuse² = Base² + Height².

Base² = Hypotenuse² -  Height².

Base = [tex]\sqrt{Hypotenuse^2 - Height^2}[/tex].

Base = [tex]\sqrt{25^2 - 22^2}[/tex].

Base = [tex]\sqrt{625 - 484}[/tex].

Base = [tex]\sqrt{141}[/tex].

So, The length of the base is [tex]\sqrt{141}[/tex] units.

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Answer:

I believe 7x, 4y, and 1

Step-by-step explanation:

I belive the answer is C.

Answer:

[tex]\frac{-5}{4}[/tex]

Step-by-step explanation:

You're going to want to set up an algebraic equation to solve this. It would look like this: 4(x+7)=23. Using distributive property, you'd get 4x+28=23. Subtract 28 from both sides to isolate 4x, and you'd get 4x=-5. Divide by 4 on both sides to isolate x and you'd get x=[tex]\frac{-5}{4}[/tex].

CHECK:

To check, plug in x.

4([tex]\frac{-5}{4}[/tex]+7)=23.

Use distributive property and get [tex]\frac{-20}{4}[/tex]+28=23. This simplifies to -5+28=23, which is correct.

Answer:

$1.97

Step-by-step explanation:

Answer:

i think its c

Step-by-step explanation:

Answer: m =11

Step-by-step explanation:Use the slope formula to find the slope  

m

.

Answer:

78.5

Step-by-step explanation:

add 1+2+3+4+5+6+7+100-56=78.5

Answer:

The mass of the jupitor is 1444864 times the mass of the venus.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Put 1/5 x 3 and that is the answer

Answer:

2+10x-x^2, the last answer

Step-by-step explanation:

A and B

Both A and B, when simplified get -(1/6), because the others have either 0 or 2 negative signs, denoting a positive end result.

Answer:

A

Step-by-step explanation:

it isn't a straight line, so it is nonlinear

Answer:

PA = 20 units

NL = 20 units

Step-by-step explanation:

Property of a rectangle,

"Diagonals of a rectangle are equal in measure and divide each other in two equal parts"

By using this property,

PT = TL

(x + 3) = (3x - 11)

3x - x = 11 + 3

2x = 14

x = 7

Length of PT = (x + 3) = 10

Length pf PA = 2(PT) = 20 units

Length of NL = PA = 20 units

Answer:

Step-by-step explanation:

You can identify similar polygons by comparing their corresponding angles and sides. As you see in the following figure, quadrilateral WXYZ is the same shape as quadrilateral ABCD, but it’s ten times larger (though not drawn to scale, of course). These quadrilaterals are therefore similar.

similar polygons: For two polygons to be similar, both of the following must be true:

Corresponding angles are congruent.

Corresponding sides are proportional.

To fully understand this definition, you have to know what corresponding angles and corresponding sides mean. (Maybe you’ve already figured this out by just looking at the figure.) Here’s the lowdown on corresponding. In the figure, if you expand ABCD to the same size as WXYZ and slide it to the right, it’d stack perfectly on top of WXYZ.

Answer:

Step-by-step explanation:

Answer:

x = 120

Step-by-step explanation:

Given

0.25(x + 4) - 3 = 28 ( add 3 to both sides )

0.25(x + 4) = 31 ( divide both sides by 0.25 )

x + 4 = 124 ( subtract 4 from both sides )

x = 120

The value of x that satisfies the equation 0.25(x + 4) - 3 = 28 is x = 120.

Here, we have,

To solve the equation 0.25(x + 4) - 3 = 28, we will follow these steps:

Let's go through each step in detail:

Step 1: Distribute the 0.25 to the terms inside the parentheses.

0.25(x + 4) - 3 = 28

Distribute 0.25 to (x + 4):

0.25x + 0.25 * 4 - 3 = 28

Step 2: Simplify the equation by combining like terms.

0.25x + 1 - 3 = 28

Simplify 0.25 * 4:

0.25x + 1 - 3 = 28

0.25x - 2 = 28

Step 3: Isolate the variable x on one side of the equation.

To isolate the variable x, we want to get rid of the constant term -2 on the left side.

We can do this by adding 2 to both sides:

0.25x - 2 + 2 = 28 + 2

Simplifying:

0.25x = 30

Step 4: Solve for x.

To find the value of x, divide both sides by 0.25:

0.25x / 0.25 = 30 / 0.25

Simplifying:

x = 120

So, the value of x that satisfies the equation 0.25(x + 4) - 3 = 28 is x = 120.

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Answer:

this is the full solution of your question

Answer:

3rd choice (1, -6)

Step-by-step explanation:

Answer:

5. y = -1/2x + 6

6.  y = 1/2x + 150

7. y = 10x + 20

8. y = 25x

Step-by-step explanation:

Look at the y-intercept and eliminate the answers you dont need.

Then find the slope of each.

Answer:

900

Step-by-step explanation:

434+285+176 is 895,895 to the nearest hundred is 900