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2 years ago

Rewrite each phrase as an algebraic expression subtract 7 from c

Mathematics

1 answer:

Neko [114]2 years ago

3 0

The phrase "subtract 7 from c" written in algebraic expression is c - 7

<h3>Algebraic expression</h3>

This is a system of computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.

Subtract 7 from c

= c - 7

For instance, if c = 15

c - 7

= 15 - 7

= 8

Therefore, the phrase "subtract 7 from c" written in algebraic expression is c - 7

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Find the sum.<br> (x^4 + 3x^3 – x^2 +6) + (2x^4 – 3x + 9) =

OleMash [197]

Answer:

=3x^4+3x^3−x^2−3x+15

Step-by-step explanation:

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3 years ago

I don't understand how to factor out the GCF of the polynomial<br> <img src="https://tex.z-dn.net/?f=4x%5E%7B2%7D%20-8x-6" id="T

Kitty [74]

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3 years ago

Consider the following: A medical researcher wants to determine the effects of pH (a measure of alkalinity or acidity, with pure

natita [175]

Answer:

See below

Step-by-step explanation:

<h3>Continuation of the question</h3>

<u>Data in the table:</u>

<u>Bacteria 116 120 131 136 141 151 148 163</u>

<em>Create a scatter plot to represent the data: Based on the data and your scatter plot, what do you think a good linear function would be to represent the data?</em>

<h3>Solution</h3>

<em>See attached for scatter plot</em>

We can see the chart is close to linear function. Let's build one based on data in the table

y = mx + b

<u>If we use two points and get the equation</u>

(4, 116) and (8, 141)

<u>Finding the slope:</u>

m = (141-116)/(8-4) = 25/4 = 6.25

<u>Then, finding y-intercept:</u>

116 = 6.25*4 + b
b = 116 - 25 = 91

y = 6.25x + 91

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4 0

4 years ago

Mr. Jackson traveled to a city 170 miles from his home to attend a meeting. Due to car trouble, his average speed returning was

Umnica [9.8K]

Answer: the average speed at which he traveled to the city is 52.9 mph

Step-by-step explanation:

Let x represent the average speed at which he traveled to the city. Due to car trouble, his average speed returning was 8mph less than his speed going. It means that the speed at which he returned is (x - 8) mph.

Time = distance/speed

Assuming the distance travelled to and from the city is the same(170 miles), then

Time spent in travelling to the city is

170/x

Time spent in travelling back from the city is

170/(x - 8)

If the total time for the round trip was 7 hours, it means that

170/x + 170/(x - 8) = 7

Multiplying both sides of the equation by x(x - 8), it becomes

170(x - 8) + 170x = 7x(x - 8)

170x - 1360 + 170x = 7x² - 56x

7x² - 56x - 170x - 170x + 1360 = 0

7x² - 396x + 1360 = 0

Applying the general formula for solving quadratic equations which is expressed as

x = [- b ± √(b² - 4ac)]/2a

From the equation given,

a = 7

b = - 396

c = 1360

Therefore,

x = [- - 396 ± √(- 396² - 4 × 7 × 1360)]/2 × 7

x = [396 ± √(156816 - 38080)]/14

x = [396 ± √118736]/14

x = (396 + 344.58)/14 or x = (396 - 344.58)/14

x = 52.9 or 3.7

Checking both values of x,

For x = 52.9

170/52.9 + 170/(52.9 - 8) = 7

= 3.2 + 3.8 = 7

Therefore, x = 52.9 mph

4 0

3 years ago

If 5<2x+3<11, what is the possible range of value of -4x-6

Lady bird [3.3K]

Answer:

-10 > (-4x - 6) > -22

Step-by-step explanation:

Given inequality is 5 < 2x + 3 < 11

Now we will multiply this inequality by (-2) resulting,

5(-2) > (2x + 3)(-2) > 11(-2)

-10 > (-4x - 6) > -22 (Sign of inequality gets reversed when the inequality is multiplied or divided by a negative number)

Therefore, the possible range of (-4x - 6) is between -22 and -10.

4 0

4 years ago