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2 years ago

The product of 8 and a number q is at least 32. Equation or Inequality?

2 answers:

8 0

<span>8*q = > or equal to 32 is the inequality for "the product of 8 and a number q is at least 32." We can then solve for q = 4. so yea hope this helps</span>

Aleks [24]2 years ago

3 0

Inequality, because at least and at most always represent inequality.
In this case, 8q is at least 32 which means it can be more than 32.
8 q $\geq$ 32.

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Which equation represents the line that is perpendicular to graph of 4x+3y=9 and passes through (-2,3)

goldfiish [28.3K]

4y = 3x + 18

Step-by-step explanation:

NOTE THAT A line that is perpendicular to another has a negative inverse of the slope of the other line. The products of their slopes, that is, is always -1

Therefore we can begin by finding the slope of this line defined by the function 4x+3y=9

3y = -4x + 9

y = -4/3 x + 9/3

y = -4/3 x + 3

The slope of the perpendicular line is, therefore;

¾ - this is the negative inverse of -4/3

Now that we know the slope, we need to find the y-intercept. This is where x = 0 and the line meets the y-axis;

i.e (0, y)

The other given point, where the line crosses is (-2, 3). Remember that to get the gradient we use the formula;

Gradient = Δ y / Δ x

¾ = (3 – y) / (-2 – 0)

¾ = (3 –y) / -2

¾ * -2 = 3 – y

-3/2 = 3 – y

-3/2 – 3 = -y

9/2 = y ←– This is the y-intercept

Remember the function of a straight line is given;

y = mx + c (m being slope and c being y-intercept)

y = 3/4 x + 9/2

4y = 3x + 18

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6 0

2 years ago

Read 2 more answers

write the equation of a line in any form that is parallel 2y = 4x + 8 through the point of (1,3) plz and thank you

V125BC [204]

Answer:

y = 2x+1

Step-by-step explanation:

$2y =4x+8\\\\ Write \:in \: y =mx+b \:form\\\\\frac{2y}{2} = \frac{4x}{2} +\frac{8}{2} \\\\y =2x +4\\m =2\\(1,3) =(x_1,y_1)\\Substitute\:values\:into\:point-slope\:form\\\\y-y_1=m(x-x_1)\\y-3=2(x-1)\\y-3 = 2x-2\\y=2x-2+3\\y =2x+1$

4 0

2 years ago

Read 2 more answers

Claire buys a jacket that originally cost $76, the price is marked down 25%and Claire has a coupon to further reduce the price b

Sauron [17]

Answer:

$51.30

Step-by-step explanation:

76 decrease 25% =

76 × (1 - 25%) = 76 × (1 - 0.25) = 57

57 decrease 10% =

57 × (1 - 10%) = 57 × (1 - 0.1) = 51.3

5 0

2 years ago

A cylinder has a radius of 40 ft and a height of 17 ft. What is the exact surface area of the cylinder?

Georgia [21]

we know that

surface area of the cylinder=2*{area of the base}+perimeter of base*height

area of the base=pi*r²

r=40 ft

Area of base=pi*40²

Area of the base=1600*pi ft²

Perimeter of the base=2*pi*r

Perimeter of the base=2*pi*40

Perimeter of the base=80*pi ft

surface area of the cylinder=2*1600*pi+80*pi*17

surface area=4560*pi ft²

therefore

the answer is the option

4560π ft2

8 0

2 years ago

Read 2 more answers

Which expression is equivalent to the quantity five raised to the negative second power times three raised to the fifth power en

serg [7]

The equivalent expression is 5^(4) * 3^(-10)

<h3>How to determine the equivalent expression?</h3>

The statement is given as:

five raised to the negative second power times three raised to the fifth power end quantity all raised to the negative second power

Rewrite properly as:

(5^-2 * 3^5)^-2

Expand the expression by multiplying the exponents

So, we have:

5^(-2 -2) * 3^(5 *-2)

Evaluate the products

5^(4) * 3^(-10)

Hence, the equivalent expression is 5^(4) * 3^(-10)