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3 years ago

What is the factorization of the expression below 16x2 - 49?

Mathematics

2 answers:

mrs_skeptik [129]3 years ago

7 0

$16 {x}^{2} - 49 \\ = {(4x)}^{2} - {7}^{2} \\ = (4x - 7)(4x + 7)$

Vilka [71]3 years ago

4 0

Answer:

16 {x}^{2} - 49 \\ = {(4x)}^{2} - {7}^{2} \\ = (4x - 7)(4x + 7)

Step-by-step explanation:

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Candy and Tim share a paper route. It takes Candy 85 min to deliver all the papers, and it takes Tim 65 min. How long does it ta

RSB [31]

Answer:

The time required to finish the work by both candy and Tim working together = 36.83 minute

Step-by-step explanation:

Time taken by the candy to finish the work $T_{1}$ = 85 min

Time taken by the Tim to finish the work $T_{2}$ = 65 min

Thus the time taken by both to finish the work = $\frac{T_1 \times\ T_2}{T_1 + T_2}$

Put the values of $T_{1}$ and $T_{2}$ we get ,

$T_{}$ = $\frac{85 \times\ 65}{85 + 65}$

$T_{}$ = $\frac{221}{6}$

$T_{}$ = 36.83 minute

Thus the time required to finish the work by both candy and Tim working together = 36.83 minute

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3 years ago

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jekas [21]

Answer:

Step-by-step explanation:

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3 years ago

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What two numbers have a sum of 217 and a difference of 85?

KiRa [710]

We can use the system of equations:x + y = 217x - y = 85-----------------From the 2nd equation: y = x - 85x + x - 85 = 2172 x = 217 + 852 x = 302x = 302 : 2x = 151y = 217 - 151y = 66We can prove this solution:151 + 66 = 2017 and 151 - 66 = 85.Answer: those numbers are 151 and 66.

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3 years ago

What is the factored form of the expression?

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It's D. Just use FOIL to check

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3 years ago

To avoid mildew and mold, Clay's new oat barn has an open shaft lengthwise through the barn with small holes drilled throughout

Nadusha1986 [10]

Answer:

Therefore, Clay can order 1,776 cubic feet of oats.

Step-by-step explanation:

To determine how many cubic feet of oats the barn can hold, break the barn up into three sections, the rectangular prism that makes up the bottom section of the barn, the triangular prism that makes up the top of the barn, and the rectangular prism that makes up the shaft.

The rectangular prism that makes up the bottom section of the barn is 12 feet wide, 16 feet long, and 8 feet high. Use the formula for the volume of a rectangular prism to find the volume.

Therefore, the volume of the bottom rectangular prism is 1,536 cubic feet.

The triangular prism that makes up the top section of the barn is 12 feet wide, 4 feet high, and 16 feet long. Use the formula for the volume of a triangular prism to find the volume.

Therefore, the volume of the top triangular prism is 384 cubic feet.The rectangular prism that makes up the shaft through the barn 3 feet wide, 3 feet high, and 16 feet long. Use the formula for the volume of a rectangular prism to find the volume.

Therefore, the volume of the shaft is 144 cubic feet.

The total volume available to store oats is the volume of the bottom section plus the volume of the top section minus the volume of the shaft.

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4 years ago