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lapo4ka [179]
3 years ago
7

Sal wrote the statement below to represent the inequality 8 n minus 5 less-than 25. Which words should Sal use to complete the v

erbal statement? The product of 8 and n decreased by 5 is ___________
Mathematics
2 answers:
devlian [24]3 years ago
7 0

Answer:

A.less than

Step-by-step explanation:

i took the test on edg.Hope it helps =)

HACTEHA [7]3 years ago
3 0

Answer:

The product of 8 and n decreased by 5 is less than 25

Step-by-step explanation:

An inequality is used to compare two values, showing that one value smaller than, larger than, or not equal to another value. x ≠ y means that x is not equal to y. x < y means that x is less than y and x > y means that x is greater than y.

The inequality 8n - 5 <  25 can be written in statement as the product of 8 and n decreased by 5 is less than 25.

The product of 8 and n (means 8n) decreased by 5 (means 8n - 5) is less than 25 (means 8n - 25 < 25)

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Answer:

Step-by-step explanation:

6z² + 12z +1 8​

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That's it.

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If the radius of a circle is 6 centimeters, what is its area?
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Answer:

113

Step-by-step explanation:

p x r^2 =

pie x 6^2 = 113.097…

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Mike wants to save $1,750 in the next 12 months. He plans to save $150 each month for the first 11 months.
podryga [215]

Answer:

$1650

Step-by-step explanation:

Based on the question, we don't need the information that Mike wants to save 1750 in 12 months.

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The students in Mr. Wilson's Physics class are making golf ball catapults. The
Mnenie [13.5K]

Answer:

Part a) About 48.6 feet

Part b) About 8.3 feet

Part c) The domain is 0 \leq x \leq 48.6\ ft and the range is 0 \leq y \leq 8.3\ ft

Step-by-step explanation:

we have

y=-0.014x^{2} +0.68x

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

where

x is the ball's  distance from the catapult in feet

y is the flight of the balls in feet

Part a)  How far did the ball fly?

Find the x-intercepts or the roots of the quadratic equation

Remember that

The x-intercept is the value of x when the value of y is equal to zero

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-0.014x^{2} +0.68x=0

so

a=-0.014\\b=0.68\\c=0

substitute in the formula

x=\frac{-0.68(+/-)\sqrt{0.68^{2}-4(-0.014)(0)}} {2(-0.014)}

x=\frac{-0.68(+/-)0.68} {(-0.028)}

x=\frac{-0.68(+)0.68} {(-0.028)}=0

x=\frac{-0.68(-)0.68} {(-0.028)}=48.6\ ft

therefore

The ball flew about 48.6 feet

Part b) How high above the ground did the ball fly?

Find the maximum (vertex)

y=-0.014x^{2} +0.68x

Find out the derivative and equate to zero

0=-0.028x +0.68

Solve for x

0.028x=0.68

x=24.3

<em>Alternative method</em>

To determine the x-coordinate of the vertex, find out the midpoint  between the x-intercepts

x=(0+48.6)/2=24.3\ ft

To determine the y-coordinate of the vertex substitute the value of x in the quadratic equation and solve for y

y=-0.014(24.3)^{2} +0.68(24.3)

y=8.3\ ft

the vertex is the point (24.3,8.3)

therefore

The ball flew above the ground about 8.3 feet

Part c) What is a reasonable domain and range for this function?

we know that

A  reasonable domain is the distance between the two x-intercepts

so

0 \leq x \leq 48.6\ ft

All real numbers greater than or equal to 0 feet and less than or equal to 48.6 feet

A  reasonable range is all real numbers greater than or equal to zero and less than or equal to the y-coordinate of the vertex

so

we have the interval -----> [0,8.3]

0 \leq y \leq 8.3\ ft

All real numbers greater than or equal to 0 feet and less than or equal to 8.3 feet

8 0
3 years ago
Michael gets 52% better at press<br> ups. He used to be able to do 62.<br> How many can he do now?
maria [59]

Answer:

94 press ups

Step-by-step explanation:

62 x 1.52 = 94.24

               ≈94

4 0
3 years ago
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