Solve for x. Enter the solutions from least to greatest.
(x + 7)² - 49 = 0
lesser x =
greater x =

Answer:

Rearrange both inequalities to make y the subject.

Momentarily swap the inequality sign for an equals sign in order to calculate two points for each line.

Inequality 1

[tex]2y \leq x-10[/tex]

[tex]\implies y < \dfrac{1}{2}x-5[/tex]

[tex]x=0\implies y=\dfrac{1}{2}(0)-5 \implies (0,-5)[/tex]

[tex]x=4 \implies y=\dfrac{1}{2}(4)-5 \implies (4,-3)[/tex]

Inequality 2

[tex]x+y\leq -3[/tex]

[tex]\implies y\leq -x-3[/tex]

[tex]x=0\implies y=-(0)-3\implies (0,-3)[/tex]

[tex]x=4\implies y=-(4)-3\implies (4,-7)[/tex]

When graphing inequalities

< or > : dashed line

≤ or ≥ : solid line

< or ≤ : shade below the line

> or ≥ : shade above the line

Therefore,

Inequality 1:  plot points (0, -5) and (4, -3) and draw a solid line through them.

Inequality 2: plot points (0, -3) and (4, -7) and draw a solid line through them.

Shade the area below both lines from where the lines intersect.

Answer:

See below ~

Step-by-step explanation:

Inequality 1 :

Taking 2 points :

Inequality 2 :

Taking 2 points :

Plot the two 2 lines using the 2 points and shade as per the sign of the inequality. The result will be this graph :

Answer:

I believe the answer is 8th graders.

Step-by-step explanation:

Answer:

[tex]\sf slope: \boxed{\bf \frac{1}{3} }[/tex]

Explanation:

[tex]\sf slope :\dfrac{y_2-y_1}{x_2-x_1} =\dfrac{rise}{run} \ \ \ \ where \ (x_1, \ y_1) ,(x_2, \ y_2) \ are \ points[/tex]

Find slope:

[tex]\rightarrow \sf \dfrac{x_2-x_1}{y_2-y_1}[/tex]

insert values

[tex]\rightarrow \sf \dfrac{3-5}{-4-2}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{1}{3}[/tex]

Answer: -1/3

Step-by-step explanation:

The equation to find the slope of a line is [tex]\frac{y2 - y1}{x2-x1}[/tex]. Y1 is 5, Y2 is 3, X1 is 2, and X2 is -4. Plug these numbers in to get the equation [tex]\frac{5-3}{(-4)-2}[/tex]. 5-3 = 2. (-4)-2 = -6. This gives a slope of 2/-6, which can be reduced by dividing the numerator and denominator by 2 to get a final slope of -1/3.

Answer:

y=-1/3x

Step-by-step explanation:

if it’s going down by one there should be one on top on since it’s going over by 3 it should be 3 on the bottom

Radius

So

equation of circle

Answer:

[tex]x^2+y^2=9[/tex]

Step-by-step explanation:

Equation of a circle

[tex](x-a)^2+(y-b)^2=r^2[/tex]

(where (a, b) is the center and r is the radius)

Given:

Substitute the given values into the formula and solve for r²:

[tex]\implies (-3-0)^2+(0-0)^2=r^2[/tex]

[tex]\implies (-3)^2+(0)^2=r^2[/tex]

[tex]\implies 9=r^2[/tex]

Substitute the center and found value of r² into the formula to determine the equation of the circle:

[tex]x^2+y^2=9[/tex]

Therefore the percentage difference in profit realized will be 66.67 % .

Profit, is net income earned after subtracting all dollar costs from total revenue.

In effect, it shows the amount of money a firm has left over after deducting the explicit costs of running the business.

Suppose all the charges for making the shoes is x (other than the labour charge)

Labor charge in Asia is y

And as given in the question Labor Charge in United States is 5y

The final cost off the shoes is $65

Profit in asia = (65-x-y)

Profit in United States = (65-x-5y)

Let's use trial and error method to understand this

suppose the making cost is x = $10  and the labor charge in asia is $5 per shoes so

Profit in Asia = 65-10-5 = $50

Profit in United Stated = 65- 10-25 = $30

the percentage difference in profit realized

= (50-30) * 100 /30

= 2000/30 = 200/3 = 66.67%

Therefore the percentage difference in profit realized will be 66.67 % .

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Answer:

B) [tex]f(x)=-3(x+1)^2+2[/tex]

Step-by-step explanation:

Notice that the graph of the parabola opens downward. This tells us that the leading coefficient of the function must be negative. Hence, we can rule out answers A and D.

Also, notice that our vertex is [tex](h,k)\rightarrow(-1,2)[/tex], which when we plug into vertex form, we get [tex]y=a(x-h)^2+k\rightarrow y=a(x-(-1))^2+2\rightarrow y=a(x+1)^2+2[/tex].

This means that B is the correct function that represents the graph.

Answer:

ITS C

Step-by-step explanation:

trust

Answer:

3/10 of the circumference

Step-by-step explanation:

Take the fraction between the central angle and the total degree measure of the circle, which is 2π.

If the width and length of the rectangle are 3 cm and 7 cm. Then the perimeter of the rectangle is 10 cm.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

Let L be the length of the rectangle and W be the width of the rectangle.

Then we have

4W + 3L = 33 ...1

 2W + L = 13 ...2

Then by the equations 1 and 2, we have

W = 3 and L = 7

Then the perimeter of the rectangle will be

Perimeter = W + L

Perimeter = 3 + 7

Perimeter = 10 cm

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[tex]\text{Given that,}~ f(x) = 3x+5~ \text{and}~ g(x)=\sqrt{x^2 +3}\\\\(g \circ f)(-1)\\\\=g(f(-1))\\\\=g(3(-1) +5)\\\\=g(-3+5)\\\\=g(2)\\\\=\sqrt{2^2+3}\\\\=\sqrt{4+3}\\\\=\sqrt{7}[/tex]

[tex]-13x+8=-8x-7\\\\8=5x-7\\\\15=5x\\\\3=x[/tex]

the value of x is 3.

Answer: X=3

Step-by-step explanation:

Answer:

4.5 %

Step-by-step explanation:

Answer:

4.5%

Explanation:

1)  red = 3
2) green = 4
3) blue = 5

Total bumper cars: (3 + 4 + 5) = 12 cars

Michelle gets red car:

Remaining red cars: 3 - 1 = 2

Remaining total cars: 12 - 1 = 11

Garth get red car:

Probability they both get red cars:

Answer:

the answer is 15

Step-by-step explanation:

density= total population/surface area

density= 375/5^2

density=375/25=15

The probability of getting black crayons is 0.3, blue crayons 0.2, red crayons  0.25, yellow crayons 0.15, and white crayons 0.1.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

A box contains 6 black crayons, 4 blue crayons, 5 red crayons,3 yellow crayons, and 2 white crayons.

One crayon is chosen at random.

The total number of crayons = 20

The probability of getting black crayons

= 6/20

= 0.3

The probability of getting blue crayons

= 4/20

= 0.2

The probability of getting red crayons

= 5/20

= 0.25

The probability of getting yellow crayons

= 3/20

= 0.15

The probability of getting white crayons

= 2/20

= 0.1

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Koda who is making birdhouses for a park needs 16 trapezoids for 8 birdhouses, 12 rectangles for 3 birdhouses and 8 triangles when she has 4 square,

Regular Pentagon is the closed shaped polygon which has 5 sides equal in measure and 5 interior angles equal in measure.

Koda is making birdhouses for a park. For one birdhouse she required 2 trapezoids, 1 square 2 triangles and 4 rectangles.

For the 8 birdhouse, the number of trapezoids she need is,

Trapezoids=2 x 8

Trapezoids=16

For the 3 birdhouse, the number of rectangle she need is,

Rectangle =4 x 3

Rectangle=12

The number of birdhouse when she use 4 square,

Bird house=4 x 1

Bird house=4

Thus, the number of triangle for 4 birdhouse is,

Triangle=2 x 4

Triangle=8

Hence, Koda who is making birdhouses for a park needs 16 trapezoids for 8 birdhouses, 12 rectangles for 3 birdhouses and 8 triangles when she has 4 square,

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Answer:

60

Step-by-step explanation:

The evaluated expression of 3x² + 4y⁰(x - 1) when x = 4 and y = 5 is  60.

What is Substitution?

Substitution simply means to put in place another. Therefore, let's substitute the value of x and y in the mathematical expression.

3x² + 4y⁰(x - 1)

Therefore,

y⁰ = 1

3x² + 4y⁰(x - 1)

3x² + 4y⁰(x - 1)

3x² + 4(x - 1)

3x² + 4x - 4

Therefore, when x = 4 and y = 5

3(4)² + 4(4) - 4

48 + 16 - 4 = 60

HOPE THIS HELPED!

Answer:

B

Step-by-step explanation:

Answer:

m∠F = 45°

because

Corresponding

Parts of

Congruent

Triangles are

Congruent

Answer:

14

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

counting all the lines pretty much

Answer:

its 8x3 for edges so 24 and its 8x2 for vercicles its 16 but for the faces its 8+2 = 10 so you are chillin :)

Answer:

domain: all real numbers (-∞,∞)

range: y ≤ 64

Step-by-step explanation:

since the domain is arn,

and range is the coordinates

coordniate (top or bottom-most point)

downward facing so the top

(2, 64)

since it is downward facing we use ≤ instead of ≥

y value is 64 (just as x is 2)

your answer is y ≤ 64

hope this helps:)

Answer:

[tex]D=[x E R | {x = \infty} ][/tex]

[tex]R = [yER| y\leq 64][/tex]

Step-by-step explanation:

1) Identify whether the [tex]x[/tex] and [tex]y[/tex] values are continuous

2) Since [tex]x[/tex] will continue below the [tex]x[/tex]-axis, it will approach infinity.

   Therefore [tex]D=[x E R | {x = \infty} ][/tex]

3) Since [tex]y[/tex] ONLY continues below 64, [tex]R = [yER| y\leq 64][/tex]

phase shift is 0

General equation

c is phase shift

Midline is D

A is amplitude

B is period

So

Final equation

Not mandatory from now

For some special cases 2π/T=omega

So Equation yields

Answer:

[tex]f(x)=2 \cos (2x)+5[/tex]

Step-by-step explanation:

The cosine function is periodic, meaning it repeats forever.

Standard form of a cosine function:

f(x) = A cos(B(x + C)) + D

Given:

Inputting the given values into the standard form:

[tex]\implies f(x)=2 \cos (2x)+5[/tex]

Answer:

0.0099, 0.099,0.909, 9.0099, 9.09, 9.909, 909,09

Step-by-step explanation:

Here they are from least to greatest. Hope this helps. :)

Answer:

The last one  5(2x + 3)

Step-by-step explanation:

5 × 2x = 10x

5 × 3 = 15

10x + 15

Answer:

638.29

Step-by-step explanation:

This is the answer because 29 percent of 899 is somewhere around 260.71

Substract that and you get 638.29

Answer:

To mark or take note of.

Step-by-step explanation: