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3 years ago

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Factor each expression. 17. 5x -25

1 answer:

aleksandr82 [10.1K]3 years ago

7 0

Answer:

~ 5(x-5)

Explanation:

~ Always find GCF to factorize a number, here it’s 5

~ Now inside the bracket the x stays the same but 25 divided by 5=5

~ Now we have 5(x-5)

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If F(x)= integral from 0 to x of square root of (t^3 +1), then F'(2)=

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By the fundamental theorem of calculus,

$\displaystyle F'(x)=\frac{\mathrm d}{\mathrm dx}F(x)=\frac{\mathrm d}{\mathrm dx}\int_0^x\sqrt{t^3+1}\,\mathrm dt=\sqrt{x^3+1}$

which means

$F'(2)=\sqrt{2^3+1}=\sqrt{8+1}=\sqrt9=3$

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4 years ago

One of the following expressions is

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Answer:

(−4x+1)(2x+3)

Step-by-step explanation:

Factor −8x^2−10x+3

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3 years ago

Find three consecutive integers for which 3 times the sum of the first and third integers is -342.

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Answer:

<h3> -58, -57, -56</h3>

Step-by-step explanation:

x - the first of consecutive integers

x+1 - the second of consecutive integers

x+2 - the third of consecutive integers

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3(x+x+2) - three times the sum of the first and third integers

3(x+x+2) = -342

÷3 ÷3

2x + 2 = -114

-2 -2

2x = -116

÷2 ÷2

x = -58

x+1 = -58 + 1 = -57

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3 years ago

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3 years ago

425 students in the 9th, 10th, and 11th grades were asked if they ride the bus to school. The results are shown in the two-way f

Ipatiy [6.2K]

The true statements are:

44/85 of the student surveyed do not ride the bus to school
About 32% of the students are in the 9th grade

The false statements are:

64% of the students are 11th graders
134/150 of the students surveyed are in 9th or 10th grade

<h3>How to interpret the two-way frequency table</h3>

<u>The students that do not ride bus to school</u>

From the table, 220 students do not ride bus to school.

So, the proportion of students that do not ride bus to school is:

$p=\frac{220}{425}$

Simplify

$p=\frac{44}{85}$

Hence, this statement is true

<u>The 9th graders </u>

From the table, 134 students are 9th graders

So, the proportion of students that are 9th graders is:

$p=\frac{134}{425}$

Divide

$p=0.315$

Approximate, and represent as percentage

$p=32\%$

Hence, this statement is true

<u>The 11th graders </u>

From the table, 141 students are 11th graders

So, the proportion of students that are 11th graders is:

$p=\frac{141}{425}$

Divide

$p=0.331$

Approximate, and represent as percentage

$p=33\%$

Hence, this statement is false

<u>The 9th or 10th graders </u>

From the table, 134 + 150 students are 9th or 10th graders

So, the proportion of students that are 11th graders is:

$p=\frac{134 + 150}{425}$

$p=\frac{284}{425}$

Hence, this statement is false

Read more about two-way frequency table at:

brainly.com/question/16148316

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3 years ago

Read 2 more answers