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2 years ago

if -16 is added to a numbet and the sum is doubled, the result is 17 less than the number. what is the number?

Mathematics

1 answer:

ololo11 [35]2 years ago

3 0

Our missing number we are solving for is X.

We are told x will equal 2x (number doubled) plus -16.

x = 2x + -16 We want to move the smaller variable to the right to sit with the larger one and move the -16 to the left by subtracting it from both sides. Remember that subtracting a negative is the same as adding it. So essentially we add 16 to both sides.

16 = 2x - x Combine the variables

16 = x or x = 16

I chose to put the variable on the left in this problem to avoid having a -x on the left side. It doesn't matter which side the variable is on to solve, but when you state it - we usually say x = 16.

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What is the Slope and y-intercept of 16x+8y=192

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3 years ago

If (fog)(x)=7x-1/3 and f(x)=3x+5,find g(x),where g(x)is linear<br>

Svetach [21]

Answer: $g(x) = \dfrac73x-\dfrac{16}{9}$

Step-by-step explanation:

Given: $(fog)(x)=7x-\dfrac13$

$f(x)=3x+5$

and g(x) is linear.

A linear function is of the form : $y= mx+c$

Let $g(x)= mx+c$

Then, $(fog)(x)=f(g(x))= f(mx+c)$

$= 3(mx+c)+5\\\\=3mx+3c+5$

Comparing it with the original (fog)(x), we get

$3mx+3c+5=7x-\dfrac{1}{3}$

Comparing coefficient of x and constants separately

$3m=7,\ \ \ \ 3c+5=-\dfrac13\\\\\Rightarrow\ m=\dfrac{7}{3},\ \ \ \ 3c =-\dfrac{1}{3}-5\\\\\Rightarrow\ m=\dfrac{7}{3},\ \ \ \ 3c =-\dfrac{16}{3}\\\\\Rightarrow\ m=\dfrac{7}{3},\ \ \ \ c =-\dfrac{16}{9}$

So, $g(x) = \dfrac73x-\dfrac{16}{9}$

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3 years ago

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Answer:

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Step-by-step explanation:

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AB working = 4 days

AB = 4 --> 10B = 4

/10 /10

B = .4

AB = 3

A(.4) = 3

/.4 /.4

A working alone = 7 .5 days

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Answer:

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Step-by-step explanation:

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5 1/2 meter strips are 2.5 meters in length.

5 + 2.5 = 7.5 meters in length

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2 years ago

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mojhsa [17]

Answer:

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