4. Translate “5 plus the product of 9 and y" into an algebraic expression.

Answer:

[tex]x = 15 \: \: .....(5(15)- 14) = 61[/tex]

[tex](9x + 16 )= (5x - 14) + 90 \\ 9x - 5x = 90 - 14 - 16 \\ 4x = 60 \\ x = \frac{60}{4} \\ x = 15[/tex]

Answer:

6748.8 km

Step-by-step explanation:

in 1 hour = 1824

in 3.7 hour = 1824×3.7

=6748.8 km

Answer:

8x + 4

Step-by-step explanation:

You just gotta distribute 4(2x+1) and it gives you the expression 8x + 4

volume = 148 × 5.5 cube

= 24623.5 cubic cm

Answer:

r = C/(2π)

Step-by-step explanation:

C = 2πr

Divide both sides by 2π

C/(2π) = r

r = C/(2π)

Given that the circumference of a circle, its radius r becomes r = C/2π.

Option C) r equals StartFraction C Over 2 pi EndFraction is the correct answer.

A circle is simply a closed 2-dimensional curved shape with no corners or edges. The total length of the boundary of a circle is referred to as a circumference. It is expressed as;

C = 2πr

Where r is radius and π is constant pi ( π = 3.14 )

Now, if the circumference C = 2πr, lets make radius r the subject of the formula.

C = 2πr

Divide both sides by 2π

C/2π = 2πr/2π

C/2π = r

r = C/2π

Given that the circumference of a circle, its radius r becomes r = C/2π.

Option C) r = start fraction C over 2 pi end fraction is the correct answer.

Learn more about circles here: brainly.com/question/11952845

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Answer:

You can't get an answer to this unless you know what x is. The reason you can't solve is because it is factored down to the lowest form, but if you need to make an equation. Here is one: x^2 + 5x

Answer:

distributive property of multiplication over addition

Step-by-step explanation:

a(b + c) = ab + ac

The a to the left of the parentheses multiplies both numbers inside the parentheses. The you add the products.

This is the distributive property of multiplication over addition.

2/3 × (1/3 + 4/5) = (2/3 × 1/3) + (2/3 × 4/5)

The 2/3 to the left of the parentheses multiplies both numbers inside the parentheses. The you add the products.

This is the distributive property of multiplication over addition.

Answer:

$21,600

Step-by-step explanation:

32400÷12=2700

2700×4=10,800

32400-10800=21600

Answer: $21,600

Step-by-step explanation: 32400÷12=2700

Answer:

Option A. x + 3

Step-by-step explanation:

From the question given above, the following data were obtained:

Area (A) = x² + 2x – 3

Width (W) = x – 1

Lenght (L) =?

The area of a rectangle is given by:

Area (A) = length (L) × Width (W)

A = L × W

With the above formula, we can obtain the lenght of the rectangle as follow:

Area (A) = x² + 2x – 3

Width (W) = x – 1

Lenght (L) =?

A = L × W

(x² + 2x – 3) = L(x – 1)

Divide both side by (x – 1)

L = (x² + 2x – 3) / (x – 1)

Please see attached photo for explanation

L = x + 3

Thus, the length of the rectangle is x + 3

Answer:

3x = 7 + 8

Step-by-step explanation:

3x = 7 + 8

3x = 15

x = 3

Answer:

B

Step-by-step explanation:

Look at the figures below.

Figure A.

The median of a quadrilateral was drawn as the red segment. It split the interior angle of the quadrilateral into angles 1 and 2. Angles 1 and 2 are clearly not congruent. Statement A is false.

Figure B.

The red segment connecting the midpoints of two sides of a triangle is parallel to the third side and half its length. Statement B is true.

Figure C.

The red midsegment cuts the triangle into two areas, crosshatched in blue and green. The areas are clearly not equal, so statement C is false.

Answer:

A = 56 Sq.in

Step-by-step explanation:

A = H x B/2

A = 8 x 14

= 112/2

= 56

THank you!!

Answer:

15

Step-by-step explanation:

30/2=15

Answer:

[tex]y=-11x-16[/tex]

Step-by-step explanation:

We want to find the equation of the tangent line to the function:

[tex]f(x)=4x^2+5x[/tex]

At the point (-2, 6).

First, we will need the slope of the tangent line. So, differentiate* the function:

[tex]f'(x)=8x+5[/tex]

Find the slope when x = -2:

[tex]f'(-2)=8(-2)+5=-11[/tex]

Now, we can use the point-slope form:

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

Our point is (-2, 6) and our slope is -11. Substitute:

[tex]y-(6)=-11(x-(-2))[/tex]

Simplify:

[tex]y-6=-11(x+2)[/tex]

Distribute:

[tex]y-6=-11x-22[/tex]

And add six to both sides. Therefore, our equation is:

[tex]y=-11x-16[/tex]

If you have not yet learned differentiation, here's the method using the difference quotient! The difference quotient is given by:

[tex]\displaystyle f'(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}[/tex]

Here, x = -2. Substitute:

[tex]\displaystyle f'(-2)=\lim_{h\to 0}\frac{f(-2+h)-f(-2)}{h}[/tex]

Substitute (we are given the point (-2, 6). So, f(-2) = 6).

[tex]\displaystyle f'(-2)=\lim_{h\to 0}\frac{(4(-2+h)^2+5(-2+h))-(6)}{h}[/tex]

Expand and simplify:

[tex]\displaystyle f'(-2)=\lim_{h\to 0}\frac{(4(4-4h+h^2)+(-10+5h))-(6)}{h}[/tex]

Distribute:

[tex]\displaystyle f'(-2)=\lim_{h\to 0}\frac{16-16h+4h^2-10+5h-6}{h}[/tex]

Simplify:

[tex]\displaystyle f'(-2)=\lim_{h\to 0}\frac{4h^2-11h}{h}[/tex]

Evaluate the limit (using direct substitution):

[tex]\displaystyle f'(-2) = \lim_{h\to 0}4h-11=4(0)-11=-11[/tex]

Answer:

The first box plot is for group 2

The second box plot is for group 1

The third box plot is for group 3

Answer:

128 if it wants the whole thing than 192

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Parallel lines share the same slope. Therefore, the slope of cd is -3.

Answer:

y = 17(2)^x

Step-by-step explanation:

If the graph of y = ab^x goes through (0, 17), then

                        17 = ab*0, or a = 17

Then the function is y = ab^x with a = 17, or

                                  y = 17*b^x and we must find b.

If the graph of y = 17*b^x also goes through (6, 1088), then the following must be true:   1088 = 17*b^6

which reduces to 64 = b^6

Taking the sixth root of both sides, we get 64^(1/6) = b, and so b = 2

Then the desired exponential function is

y = 17(2)^x

Answer:

Step-by-step explanation:

3x-4y-15=0

Geometric figure: Straight Line

Slope = 1.500/2.000 = 0.750

x-intercept = 15/3 = 5

y-intercept = 15/-4 = -3.75000

Step by step solution :

Step  1  :

Equation of a Straight Line

1.1     Solve   3x-4y-15  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  3x-4y-15  = 0 and calculate its properties

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 15/-4 so this line "cuts" the y axis at y=-3.75000

y-intercept = 15/-4  = -3.75000

Calculate the X-Intercept :

When y = 0 the value of x is 5/1 Our line therefore "cuts" the x axis at x= 5.00000

x-intercept = 15/3  =  5

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -3.750 and for x=2.000, the value of y is -2.250. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -2.250 - (-3.750) = 1.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

  Slope     =  1.500/2.000 =  0.750

Geometric figure: Straight Line

Slope = 1.500/2.000 = 0.750

x-intercept = 15/3 = 5

y-intercept = 15/-4 = -3.75000

Hope This Helps!!!

Answer:

(2, - 3 )

Step-by-step explanation:

Given the 2 equations

y = - 3x + 3 → (2)

y = - 9x + 15 → (2)

Substitute y = - 3x + 3 into (2)

- 3x + 3 = - 9x + 15 ( add 9x to both sides )

6x + 3 = 15 ( subtract 3 from both sides )

6x = 12 ( divide both sides by 6 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

y = - 3(2) + 3 = - 6 + 3 = - 3

solution is (2, - 3 )

Answer:

P - Q = - 11b² + 8b - 4

Step-by-step explanation:

P - Q

= - 4b² + 6b - 9 - (7b² - 2b - 5) ← distribute parenthesis by - 1

= - 4b² + 6b - 9 - 7b² + 2b + 5 ← collect like terms

= - 11b² + 8b - 4

Answer:

im not sure but

Step-by-step explanation:

Deficiency of major elements can lead to nutritional disorders, and their presence in excess can cause obesity. Deficiencies or excess states of semi-major elements often result in water and electrolyte abnormalities

Answer:

1=27 2= -1

Step-by-step explanation:

if three watermelons equal 60 divide that by 3 to get 20. 30 minus 20 will get you what the strawberries together make so divide by two to get 5. After subtract 5 from 3 to get -2 and since you did it in reverse think of it as a positive. So that equals 1. 20 + 1 + 7 is 27. For number two start at the bottom with the clovers since its only clovers.divide 12 by 3 to get 4. Then go up to the second equation 31-16 is 15. After divide by 3 and get 5. Then go to the next equation and do the same thing, add the sunflowers and then subtract the sum from both sides. 40 - 10 is 30. 30 divided by 3 is ten. After go to the last one. 5 - 10 + 4 is -1.

Answer:

117.18 yards

Step-by-step explanation:

480in=40ft

2.17x4.05x40=351.54tf

351.54ft=117.18yrds