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2 years ago

Given: f(x) =x-7 and h(x)=2x+3 Write the rule for h(f(x))

Mathematics

2 answers:

Tems11 [23]2 years ago

3 1

Answer:

I think it is c I hope at least

docker41 [41]2 years ago

4 0

Answer:

f(x)= x-7

h(x)= 2x+3

Step-by-step explanation:

h(fx)= 2(x-7)+3

= 2x -14 +3

= 2x - 11

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Help me with these please

mixas84 [53]

Answer:

A) SAS

Step-by-step explanation:

The picture gives us that two sides are congruent. We can see that an angle is congruent as well because they share a common point at their tip.

If we look at just the area of intersection, it looks like an X. Think of the X as two lines intersecting. Each side equals 180°, and because both triangles are made up of those sides, we can conclude that the angles are congruent as well.

Hope this helps!

3 0

2 years ago

Factorise 2x^2 - 3x -2 < 0

Galina-37 [17]

Step 1: Factor $2 x^{2} - 3x -2$
1. Multiply 2 by -2, which is -4.
2. Ask: Which two numbers add up to -3 and multiply to -4?
3. Answer: 1 and -4
4. Rewrite $-3x$ as the sum of $x$ and $-4x$

$2 x^{2} +x-4x-2\ \textless \ 0$

Step 2: Factor out common terms in the first two terms, then in the last two terms.

 $x(2x+1)-2(2x+1)\ \textless \ 0$

Step 3: Factor out the common term $2x+1$

$(2x+1)(x-2)\ \textless \ 0$

Step 4: Solve for $x$

1. Ask: When will $(2x+1)(x-2)$ equal zero?
2. Answer: When $2x + 1 = 0$ or $x-2=0$
3. Solve each of the 2 equations above:

 $x=- \frac{1}{2} ,2$

Step 5: From the values of $x$ above, we have these 3 intervals to test.
x = < -1/2
-1/2 < x < 2
x > 2

Step 6: Pick a test point for each interval

For the interval $x\ \textless \ - \frac{1}{2} 
$
Lets pick $x=-1.$ Then, $2(-1) ^{2} -3 * -1 -2 \ \textless \ 0$
After simplifying, we get $3\ \textless \ 0$ , Which is false.
Drop this interval.

For this interval $- \frac{1}{2} \ \textless \ x\ \textless \ 2$
Lets pick $x=0$ . Then, $2* 0^{2} - 3 * 0-2\ \textless \ 0$ . After simplifying, we get $-2\ \textless \ 0,$ which is true. Keep this interval.

For the interval $x\ \textgreater \ 2$

Lets pick $x = 3.$ Then, $2 * 3 ^{2} -3*3-2\ \textless \ 0.$ After simplifying, we get $7\ \textless \ 0$ , Which is false. Drop this interval.

.Step 7: Therefore,
$- \frac{1}{2} \ \textless \ x\ \textless \ 2$

Done! :)

4 0

3 years ago

What is 13/5 written as a mixed number

Bas_tet [7]

Expressed as a mixed number, 13/5 is equal to 2 3/5 or two and three fifths.

Hope this helps.

4 0

3 years ago

Read 2 more answers

Which is written in standard form? A.-2x=13 B.3x+5y C.1/2x+1/3y=1/5 D.-3x+13y=25

ludmilkaskok [199]

Your answer is going to be D

4 0