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3 years ago

Worth a lot of points!

Mathematics

1 answer:

Alla [95]3 years ago

8 0

Answer:

15a² + 21a + 19 = 0

Step-by-step explanation:

Given

(4a + 3)² = (a + 5)(a - 2)

(4a + 3)(4a + 3) = (a + 5)(a - 2 ) ← expand both sides using FOIL

16a² + 24a + 9 = a² + 3a - 10 ( subtract a² + 3a - 10 from both sides )

16a² - a² + 24a - 3a + 9 + 10 = 0 ← collect like terms

15a² + 21a + 19 = 0

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Graph the system by hand.

weqwewe [10]

Answer:

dont khan academy

Step-by-step explanation:

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cheet

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3 years ago

James, Priya, and Siobhan work in a grocery store. James make $7.00 per hour. Priya makes 40% more than James, and Siobhan makes

Vika [28.1K]

Priya makes 9.8 an hour so that means that Siobhan makes 9.31 the hour

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3 years ago

Oblicz.Pamiętaj o kolejności wykonywania działań

SashulF [63]

Answer:

33.275

Step-by-step explanation:

1 step: Difference in brackets

$3.5-2\dfrac{1}{3}=3\dfrac{1}{2}-2\dfrac{1}{3}=(3-2)+\left(\dfrac{1}{2}-\dfrac{1}{3}\right)=1+\dfrac{3-2}{3\cdot 2}=1+\dfrac{1}{6}=1\dfrac{1}{6}$

2 step: $0.75\div\dfrac{1}{3}$

$0.75\div\dfrac{1}{3}=\dfrac{75}{100}\div \dfrac{1}{3}=\dfrac{3}{4}\times \dfrac{3}{1}=\dfrac{9}{4}$

3 step: $1.28\div 0.04$

$1.28\div 0.04=128\div 4=32 \ \text{Move point two decimal places}$

4 step:

$2\dfrac{1}{4}\times 1\dfrac{1}{6}=\dfrac{2\cdot 4+1}{4}\times \dfrac{1\cdot 6+1}{6}=\dfrac{9}{4}\times \dfrac{7}{6}=\dfrac{63}{24}=\dfrac{21}{8}$

5 step:

$\dfrac{9}{4}+32-\dfrac{21}{8}+1.65=(32+1.65)+\left(\dfrac{9}{4}-\dfrac{21}{8}\right)=33.65+\dfrac{9\cdot 2-21}{8}=33.65-\dfrac{3}{8}=33.65-0.375=33.275$

6 0

3 years ago

Which of the following formulas would find the surface area of a right cylinder

Sliva [168]

Answer:

A and B

Step-by-step explanation:

Because the surface area is $\pi r^2*2\pi rh$

BA is the base, so $BA + 2\pi rh$ also works.

6 0

3 years ago

A pet owner has 5 cats. Each cat has 2 ears and 4 paws. Complete the double number line to show the numbers of ears and paws for

aleksandrvk [35]

Answer:

If there are 3 cats in the room, what is the ratio of ears to paws? 1 : 2

If there are 4 cats in the room, what is the ratio of paws to ears? 2 : 1

If all 5 cats are in the room, how many more paws are there than ears? the number of paws is twice as more than the number of ears, we have 10 more paws than ears.

Step-by-step explanation:

You can see the double number line for this situation in the attached photo.

So as we can see in the double number line diagram, if there are 3 cats in the room we would have an ears to paws ratio of 6 : 12 , which simplified would be 1 : 2, meaning that for every ear there are 2 paws.

For the next question, if there are 4 cats in the room, the paws to ears ratio would be 16 : 8, simplified to 2 : 1, meaning that for every 2 paws there is 1 ear.

And for the last question, if all 5 cats are in the room, we have that the paws to ears ratio is 20 : 10, simplified again to 2 : 1, meaning the number of paws is twice as more than the number of ears, so in this case we have 10 more paws than ears.

7 0

3 years ago