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2 years ago

If g(x) = 4x - 3 and h(x) = -4x, what is g(5) + h(3)?

Mathematics

1 answer:

elena55 [62]2 years ago

3 0

Answer:

g(5) + h(3) = 5

Step-by-step explanation:

g(5)

$g(5) = 4(5) - 3\\\rule{150}{0.5}\\g(5) = 20 - 3\\\\\boxed{g(5)=17}$

h(3)

$h(3) = -4(3)\\\rule{150}{0.5}\\\boxed{h(3) = -12}$

g(5) + h(3)

$17 + -12\\\rule{150}{0.5}\\17 - 12\\\\\boxed{5}$

Hope this helps.

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The perimeter of a rectangle is twice the sum of its length and it’s width . The perimeter is 22 meters and I it’s length is 2 m

lukranit [14]

Answer:

The length of this rectangle is 8m.

Step-by-step explanation:

The problem states that the perimeter of a rectangle is twice the sum of its length and it’s width. So

$P = 2*l + 2*w$

The problem also states that the perimeter is 22 meters. So:

$P = 22$

$2l + 2w = 22$ .

Also, it states that I is the length and it is 2 meters more then twice it’s width. So

$l = 2w + 2$

What’s its length?

$P = 22$

$2l + 2w = 22$

$2(2w+2) + 2w = 22$

$4w + 4 + 2w = 22$

$6w = 22 - 4$

$6w = 18$

$w = \frac{18}{6}$

$w = 3$

The width is 3m. The length is in function of the width, so:

$l = 2w + 2$

$l = 2*3 + 2$

$l = 8m$

The length of this rectangle is 8m.

4 0

4 years ago

I'd greatly appreciate the help-

dem82 [27]

Answer:

The 3rd option

Step-by-step explanation:

To prove that 2 triangles are similar, we need to prove that 2 pairs of their angle measurements are congruent.

This is because all triangles have 180 degrees, so if 2 pairs are congruent, the remaining angles will also be congruent

We know that m<D=m<E

We also know that m<DCA=m<ECB because they are vertical angles.

Vertical angles are always congruent.

Therefore, the triangles are similar.

The correct similarity statement would be 1, since <D corresponds with <E.

Now let's look at the 3rd Statement. To prove that two lines are similar, we would have to prove that their alternate interior angles are congruent.

A pair of alternate interior angles would be <D and B or or <E and <A

There is no way to prove this, since we do not know any of the angle or that measurements or if the triangles are isosceles triangles.

Hence, the correct choice would be 1 only.

7 0

3 years ago

A theater sells tickets for a concert. Tickets for lower-level seats sell for $55 each, and tickets for upper-level seats sell f

Alex

Answer: Lower level tickets = 85

Upper level tickets = 156

Step-by-step explanation: The first thing we shall do is assign letters to the unknown variables. We'll start by calling the lower level tickets L, and the upper level tickets P.

Next is we use the clues we've been given. Since the theater sold 241 tickets, we can write the expression

L + P = 241 ---------------- (1)

Next thing we're told is that lower level tickets were sold for $55 while upper level tickets were sold for $30. If total ticket sales was $9355, then we can write another expression

55L + 30P = 9355 -------(2)

We now have a pair of simultaneous equations

L + P = 241 ---------------------(1)

55L + 30P = 9355 ---------(2)

From equation (1), we shall make L the subject of the equation

L = 241 - P

Substitute for the value of L in equation (2), we now have

55(241 - P) + 30P = 9355

13255 - 55P + 30P = 9355

Collecting like terms we now have

13255 - 9355 = 55P - 30P

(Note that when a positive value crosses from one side of the equation to the other side, it becomes negative, and vice versa.

3900 = 25P

Divide both sides of the equation by 25

156 = P.

This means upper level tickets sold were 156 in number.

Substitute for the value of P in equation (1)

L + P = 241

L + 156 = 241

Subtract 156 from both sides of the equation

L + 156 - 156 = 241 - 156

L = 85

Therefore, lower level tickets sold were 85 and

Upper level tickets sold were 156

5 0

4 years ago

A bakery has three types of pie: apple, cherry, and peach. There are four times as many apple pies as peach pies. What is a poss

Studentka2010 [4]

Answer:

The purpose of this task is to help students see the connection between a÷b and ab in a particular concrete example. The relationship between the division problem 3÷8 and the fraction 38 is actually very subtle.

3÷8 is the number you multiply 8 by to get 3.

38 is the number you get by taking 3 copies of the unit fraction 18.

So 3÷8 is defined in terms of multiplication, and 38 is defined in terms of unit fractions. It is not obvious that these two numbers are the same, so students need opportunities to see that they will necessarily always be the same. Note that if b people share a pies equally, then each person will get ab of a pie by the same kind of reasoning shown in the solution below.

This task is probably best suited for instruction or formative assessment.

Step-by-step explanation:

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3 years ago

Which answer choice is correct

maria [59]

Answer: c

Step-by-step explanation:

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3 years ago