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3 years ago

Order the steps to solve the equation log(x2 - 15) = log(2x) form 1 to 5.

Mathematics

1 answer:

lawyer [7]3 years ago

5 0

Step 1: x²-15=2x
step 2: x²-2x-15=0
step 3: (x-5)(x+3)=0
step 4: x-5=0 or x+3=0
step 5: x=5 of x=-3

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What equation describes a line that has a slope of 4/5 and a y-intercept of 2/5

boyakko [2]

Answer:

y = 4/5 x + 2/5

Step-by-step explanation:

3 0

2 years ago

A manufacturer cuts squares from the corners of a rectangular plece of sheet metal that measures 2 inches by 7 inches (see Figur

Vladimir79 [104]

Answer:

The value of x that maximizes the volume enclosed by this box is 0.46 inches

The maximum volume is 3.02 cubic inches

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The volume of the open-topped box is equal to

$V=LWH$

where

$L=(7-2x)\ in\\W=(2-2x)\ in\\H=x\ in$

substitute

$V=(7-2x)(2-2x)x$

Convert to expanded form

$V=(7-2x)(2-2x)x\\V=(14-14x-4x+4x^{2})x\\V=14x-14x^2-4x^2+4x^{3}\\V=4x^{3}-18x^{2} +14x$

using a graphing tool

Graph the cubic equation

Remember that

The domain for x is the interval -----> (0,1)

Because

If x>1

then

the width is negative (W=2-2x)

The maximum is the point (0.46,3.02)

see the attached figure

therefore

The value of x that maximizes the volume enclosed by this box is 0.46 inches

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8 0

3 years ago

Find the sample variance for the data 9,12,9,14,6. Round the answer to one decimal place. Sample variance

Feliz [49]

Answer:

9.5

Step-by-step explanation:

Find the sample variance for the data 9,12,9,14,6. Round the answer to one decimal place. Sample variance.

Step 1

We find the Mean of the numbers

Mean = Sum of terms/ Number of terms

Mean = 9+12+9+14+6/5

= 50/5

= 10

Step 2

We find the sample variance

Formula =

(x - Mean)²/n - 1

n = 5

= (9 - 10)²+(12 -10)²+(9- 10)²+(14-10)²+(6-10)²/5 - 1

= 1+ 4+ 1+ 16+16/5 - 1

= 38/5 - 1

= 38/4

= 9.5

Therefore, Sample variance = 9.5

3 0

2 years ago

What is the quotient of 5.846 x 10^7 and 7.9 x 10^2 expressed in scientific notation

serg [7]

Answer:

Da answer issss...7.4 x 10^4..I tink

8 0

3 years ago

How do you add parentheses to 9 + 12 / 3 + 4 / 2 + 1 * 2 to make the answer 12? Please help quick.

morpeh [17]

Answer:

so the final answer is =17

Step-by-step explanation:

9+12/3=13+4/2=2+1*2=2 the answer is 13+2+2=17

4 0

2 years ago