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2 years ago

Using substitution, evaluate the expression b-a, if a = -14 and b = -7.

Mathematics

1 answer:

Tanya [424]2 years ago

4 0

A = -14
b = -7
b - a
(-7) - (-14)
-7 + 14
7
So the answer is 7

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Whats one and half times 16

malfutka [58]

Okay so $1 \frac{1}{2}*16$ .

First, we make 16 a fraction: $16=\boxed{\boxed{ \frac{16}{1}}}$

Then, we make $1 \frac{1}{2}$ a improper fraction: $1 \frac{1}{2}= \frac{1*2+1}{2}=\boxed{\boxed{ \frac{3}{2}}}$

Now, we multiply $\frac{3}{2}$ by $\frac{16}{1}$ : $\frac{3}{2}* \frac{16}{1}= \frac{48}{2}$

Finally, we simplify $\frac{48}{2}$ : $\frac{48:2}{2:2}= \frac{24}{1}=\boxed{\boxed{24}}}$ .

Your answer is $\boxed{\boxed{24}}}}$ .

Hoped I helped. :)

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4 years ago

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Express the following function, as a composition of two functions f and g. h(x)= x^2/(x^+4)

soldi70 [24.7K]

According to defintion of compostion of functions, we can get:

$(f\circ g)(x)=f(g(x))$

But we know, that:

$\displaystyle h(x)= \frac{x^2}{x^2+4}$

Our goal, is to express that function as a composition:

$(f\circ g)(x)=h(x) \Rightarrow f(g(x))=h(x)$

I.e:

$\displaystyle f(g(x))=\frac{x^2}{x^2+4}$

If $\displaystyle f(y)= \frac{y}{y+4}$ then $g(x)=x^2$ . Hence, $\displaystyle h(x)=(f\circ g)(x)=f(g(x))= \frac{g(x)}{g(x)+4} \Rightarrow f(g(x))=f(x^2)= \frac{x^2}{x^2+4}$

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3 years ago

The point (1.-3) is on the line given by which equation below?

Assoli18 [71]

Answer:

A. y = -3x

Step-by-step explanation:

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3 years ago

John, Johan, and Jonathan collect postage stamps. Johan and Jonathan have the same number of stamps. Two times Johan’s collectio

kati45 [8]

Let d = number of stamps from John (4 letters, d is 4th letter, etc)
Let e = number of stamps from Johan 
Let h = number of stamps from Jonathan 

Johan and Jonathan have the same number of stamps, so: 

e = h 

2 times Johan's collection is 11 less than 5 times John's collection, so: 

2e = 5d - 11 

3 times Jonathan's collection is 3 less than 7 times John's collection,so: 

3h = 7d - 3 

Now we have three equations and three unknowns. You're asked for the number of stamps in John's collection, so you want the value to variable "d". 

Since e = h, we can substitute "h" for "e" in the second equation. 

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now we have two equations and two unknowns. I'll use elimination, starting with multiplying the first equation by -3 and the second one by 2. 

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now add both together and you have an equation with one unknown remaining: 

0 = -d + 27 
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kolezko [41]

0.294

hope this helps

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