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snow_tiger [21]
4 years ago
15

HALLLLPPP Let g(x) = 2x and h(x) = x^2 + 4. Evaluate each expression: g(-2) - h(4)

Mathematics
2 answers:
True [87]4 years ago
5 0

Answer:

-24

Step-by-step explanation:

g(-2) = 2(-2)

g(-2) = -4

h(4) = 4² + 4

h(4) = 16 + 4

h(4) = 20

g(-2) - h(4)

-4 - 20

= -24

oksano4ka [1.4K]4 years ago
5 0

Answer:

<h2>g(-2) - h(4) = - 24</h2>

Step-by-step explanation:

g(x) = 2x

To find g( -2) substitute - 2 into g(x)

That's

g( -2) = 2(-2) = - 4

h(x) = x² + 4

To find h(4) substitute 4 into h(x)

That's

h(4) = (4)² + 4 = 16 + 4 = 20

So

g(-2) - h(4) is

- 4 - 20

= - 24

Hope this helps you

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Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its te
Eva8 [605]

Answer:

Step-by-step explanation:

As per Newton law of cooling we have temperature of a cooling object at time t is given by

T(t) = T_s + (T_0-T_s) e^{-kt}

where T_s = 76:   T_0 = 200

When t=2.5, we have

T(2.5) = 76+(100-76)e^{-2.5k} =180\\e^{-2.5k} =\frac{104}{24} =4.333\\k=\frac{ln4.333}{-2.5} =-0.5865

Hence equation is

T(t) = 76+24e^{-0.5865t}

Using this we find that

130=76+24e^{-0.5862t} \\e^{-0.5862t}=54\\t=1.59559

i.e. At 1.6 seconds the coffee will reach a temperature of 130 degrees

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3 years ago
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18x is the perimeter
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padilas [110]

Answer:

Step-by-step explanation:

1. 73 because it is vertical angles

2. 73 complimentary angles

3. 107 Supplementary angles

4. 73 Complimentary to a vertical angle

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5 0
3 years ago
A married couple filing their federal income tax return jointly had a taxable
julia-pushkina [17]

Answer:

The income will they have left over after paying their federal income tax is <u>$64,850.00</u>.

Step-by-step explanation:

Given:

A married couple filing their federal income tax return jointly had a taxable

income of $76,300.

Now, to find according to the table the income will they left over after paying their federal income tax.

<em>So, as given in table:</em>

<em>The tax of the taxable income over $67,900 but not over $1,37,050 is $9,350 plus 25% of the amount over $67,900.</em>

As, the taxable income $76,300 falls in to the above conditions.

Now, to calculate the tax:

9350+25\%\ of\(76300-67900)

=9350+25\%\ of\ 8400

=9350+\frac{25}{100} \times 8400

=9350+0.25\times 8400

=9350+2100

=11450.

<em>Thus, the tax = $11450.</em>

Now, deducting the tax from the taxable income:

76300-11450\\=64850

<em>So, the amount left = $64,850</em>.

Therefore, the income will they have left over after paying their federal income tax is $64,850.00.

6 0
3 years ago
In the diagram below lines p and r are parallel. Line s is a Transversal that is not perpendicular to lines p and r
malfutka [58]

Answer: Any of the following angles are <u>not</u> congruent to angle 5.

  • angle 2
  • angle 4
  • angle 6
  • angle 8

The only exception being that if angle 5 is 90 degrees, then so are the remaining four angles shown above (in fact, all 8 angles are right angles).

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

Explanation:

Angles 2 and 5 are supplementary since line p is parallel to line r. This means angle 2 and angle 5 add to 180 degrees. The two angles are only congruent if both are right angles (aka 90 degree angles); otherwise, they are not congruent angles.

Angle 2 = angle 4 because they are vertical angles. So because these two angles are congruent, and angle 2 does not have the same measure as angle 5, this consequently leads to angle 4 also not being the same measure as angle 5 (unless both are right angles).

Angle 2 = angle 8 because they are alternate interior angles. Following the same logic path as the last paragraph, we see that angles 8 and angle 5 aren't the same measure. Or we could note that angle 5 and angle 8 form a straight angle, so they must add to 180 degrees. The two angles are only congruent if they were 90 degrees each, or otherwise not congruent at all.

Similar logic can also show that angle 6 is not congruent to angle 5.

---------------------------

An alternative path is to find all the angles that are always congruent to angle 5 and they are...

  • angle 1 (corresponding angles)
  • angle 3 (alternate interior angles)
  • angle 7 (vertical angles)

And everything else is not congruent to angle 5.

6 0
3 years ago
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