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shepuryov [24]
3 years ago
12

Solve the system using eliminationx+7y=-37 2x-5y=21​

Mathematics
1 answer:
Anna [14]3 years ago
7 0

Answer:

y = -5

x = -2

Step-by-step explanation:

x+7y=-37

2x-5y=21

Multiply first equation by -2

-2 × (x + 7y) = -37 ➡ -2x -14y = 74

now add the equation up

2x-5y -2x -14y = 21 + 74 (-2x will eliminate 2x)

-19y = 95 divide both sides by 19

y = -5 we can find the value for x by using this information

x + 7y = -37 replace y by -5

x + 7×(-5) = -37

x = -2

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At the start of the year, 15 chameleons were introduced into a zoo. The population of chameleons is expected to grow at a rate o
bearhunter [10]

Answer:

option-B

Step-by-step explanation:

We are given

At the start of the year, 15 chameleons were introduced into a zoo

so, P_0=15

The population of chameleons is expected to grow at a rate of 41.42% every year

so, r=0.4142

and x represents the number of years since the chameleons were introduced into the zoo

now, we can set equation to find total population

and we get

P(x)=P_0(1+r)^x

now, we can plug values

P(x)=15(1+0.4142)^x

P(x)=15(1.4142)^x

Average rate of change between 2 years and 4 years:

we can use formula

A_1=\frac{P(4)-P(2)}{4-2}

now, we can plug values

A_1=\frac{15(1.4142)^{4}-15(1.4142)^{2}}{4-2}

A_1=14.99914

Average rate of change between 4 years and 6 years:

we can use formula

A_2=\frac{P(6)-P(4)}{6-4}

now, we can plug values

A_2=\frac{15(1.4142)^{6}-15(1.4142)^{4}}{6-4}

A_2=29.99770

Average rate of change between 6 years and 8 years:

we can use formula

A_3=\frac{P(8)-P(6)}{8-6}

now, we can plug values

A_3=\frac{15(1.4142)^{8}-15(1.4142)^{6}}{8-6}

A_3=59.99425

now, we will check each options

option-A:

we can see that

A_3-A_2=30

A_3-A_2=30

So, this is FALSE

option-B:

A_1=\frac{1}{2}A_2

So, this is TRUE

option-C:

This is FALSE

option-D:

we got

A_1=\frac{1}{2}A_2

so, this is FALSE


5 0
3 years ago
Number A is 5342. Number B is 11124 greater than A. Number C is 3104 less than B. What is the total value of numbers A,B and C?
Leni [432]

Answer:

B - 16466

C - 13362

total value - 35170

Step-by-step explanation:

to find B add 11124 to 5342 (11124+5342=16466)

to find C subtract 3104 from 16466 (16466-3104=13362)

total value - add them all together

5 0
3 years ago
JUST HELP ME! PLEASE!!..0o0<br><br>Applying the Pythagorean theorem, solve this triangle.​
Inessa [10]
<h3>Answer:    <u>100 ft</u>  is the hypotenuse</h3>

===================================================

Work Shown:

a = 60 and b = 80 are the two known sides

c  is the unknown hypotenuse

Applying the pythagorean theorem gets us...

a^2 + b^2 = c^2

60^2 + 80^2 = c^2

3600 + 6400 = c^2

10,000 = c^2

c^2 = 10,000

c = sqrt(10,000)

c = 100

A quick way to see that 100 ft is the missing side is to note that a 6,8,10 right triangle scales up to 60,80,100 after multiplying all three sides by 10.

Or you could start with a 3,4,5 right triangle and multiply all three sides by 20.

4 0
2 years ago
Read 2 more answers
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S_A_V [24]

Answer: 4/8 + 3/6 + 1/1

Step-by-step explanation: this is only if you can use the same number twice!!!

4 0
2 years ago
Witch value of x makes this equation true 2(2x - 4) + 4=12<br><br> A) 3<br> B) 4<br> C) 5<br> D) 6
umka2103 [35]

Answer:

X=4

Step-by-step explanation:

2(2x-4)+4=12

4x-8+4=12

4x-4=12

4x-4+4=12+4

4x=16

x=4

4 0
3 years ago
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