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3 years ago

Can someone explain thoroughly how I am meant to solve this?

Mathematics

2 answers:

BartSMP [9]3 years ago

7 0

Answer:

I got x<equal to -11 or x>equal to4

Step-by-step explanation:

x^2+15x+44=0

(x+4)(x+11)=0(Factor left side of equation)

x+4=0 or x+11=0(Set factors equal to 0)

x=−4 or x=−11

Check intervals in between critical points. (Test values in the intervals to see if they work.)

x<−11(Works in original inequality)

−11<x<−4(Doesn't work in original inequality)

x>−4(Works in original inequality)

Answer:

x<−11 or x>−4

Y_Kistochka [10]3 years ago

7 0

Answer:

Hope this helps

Step-by-step explanation:

:)))))

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The five posters made for spirit week are being hung in the front hall. What is the probability the largest poster will be in th

Leto [7]

Answer:

1/20 or 0.05

Step-by-step explanation:

Assuming that all five posters are different, the number of ways to randomly place those posters is given by:

$N=5*4*3*2*1 = 120\ ways$

If we want the largest to be in the center and the next largest to be on its left, two poster will have a set position and only three could be randomized:

$n=3*2*1*1*1=6\ ways$

Therefore, the probability is:

$P=\frac{n}{N}=\frac{6}{120} =\frac{1}{20} =0.05$

The probability is 1/20 or 0.05.

5 0

3 years ago

What is the y-intercept of the line perpendicular to the line y = four thirdsx + 1 that includes the point (4, 1)?

avanturin [10]

Answer:

Step-by-step explanation:

We'll begin by calculating the slope of the equation. This is illustrated below:

y = 4/3x + 1

Comparing the above equation with:

y = mx + c

The slope (m) of line is 4/3.

Next, we shall determine the slope of the equation perpendicular to:

y = 4/3x + 1

This is illustrated below:

When two lines are perpendicular, their slope are related as:

m2 = – 1/m1

From the above, m1 = 4/3

m2 = –1 ÷ 4/3

m2 = –1 × 3/4

m2 = – 3/4

Next, we shall determine the equation passing through (4, 1). This is illustrated below:

y – y1 = m(x – x1)

y1 = 1

x1 = 4

m = – 3/4

y – y1 = m(x – x1)

y – 1 = –3/4 (x – 4)

y – 1 = –3/4x + 3

y = –3/4x + 3 + 1

y = –3/4x + 4

Comparing:

y = –3/4x + 4 with y = mx + c

The y-intercept, c is 4.

3 0

3 years ago

Read 2 more answers

A large pot holds 12 gallons of soup Jared has 1-pint containers of chicken broth. Complete the table to help you find the numbe

Rina8888 [55]

There is 8 pints in 1 gallon so 12x8=96
96 pints to fill a 12 gallon pot

7 0

3 years ago

Read 2 more answers

Pls solve this question

just olya [345]

Answer:

${( \sqrt{ {x}^{ - 3} }) }^{5} = ({( {x}^{ - 3}) }^{ \frac{1}{2} } ) ^{5} \\ \\ = {x}^{ - 3 \times \frac{1}{2} \times 5} = {x}^{ - \frac{15}{2} } = \frac{1}{ {x}^{ \frac{15}{2} } }$

<em><u>Or ;</u></em>

${( \sqrt{ {x}^{ - 3} } )}^{5} = {( \sqrt{ \frac{1}{ {x}^{3} }} })^{5} = ( { \frac{ \sqrt{1} }{ \sqrt{ {x}^{3} } } })^{5} \\ \\ = ( { \frac{1}{ \sqrt{x} \sqrt{ {x}^{2} } } })^{5} = ({ \frac{1}{ x\sqrt{x} }})^{5} \\ \\ = ( \frac{ {(1)}^{5} }{ {x}^{5} ( \sqrt{x} )^{5} } ) = \frac{1}{ {x}^{5} \times {x}^{ \frac{1}{2} \times 5 } } \\ \\ = \frac{1}{ {x}^{5} \times {x}^{ \frac{5}{2} } } = \frac{1}{ {x}^{5} \sqrt{ {x}^{5} } } \\ \\ = \frac{1}{ {x}^{5} \sqrt{ {x}^{4} {x}^{1} } } = \frac{1}{ {x}^{5} \sqrt{x} \sqrt{( { {x}^{2} })^{2} } } \\ \\ = \frac{1}{ {x}^{5} {x}^{2} \sqrt{x} } = \frac{1}{ {x}^{7} \sqrt{x} } = \frac{ \sqrt{x} }{ {x}^{8} }$

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2 years ago

Multiply: (-5qr) × (-2pqr) × pq

ahrayia [7]

Answer:

The product of (-5·q·r) × (-2·p·q·r) × p·q is 10·q³·r²·p²

Step-by-step explanation:

The question relates to the rules of multiplication of variables and indices rules, and simplifification of an expression ;

The given expression is (-5·q·r) × (-2·p·q·r) × p·q

Therefore, we have;

(-5·q·r) × (-2·p·q·r) × p·q = (-5) × (-2) × q×q×q × r×r ×p×p = 10 × q³ × r² × p²

10 × q³ × r² × p² = 10·q³·r²·p²

∴ (-5·q·r) × (-2·p·q·r) × p·q = 10 × q³ × r² × p² = 10·q³·r²·p²

(-5·q·r) × (-2·p·q·r) × p·q = 10·q³·r²·p².

4 0

3 years ago