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3 years ago

Let g(x) = x2 + 2 and h(x) = 2x2 - 5x + 11 a) g(4)

Mathematics

2 answers:

Over [174]3 years ago

6 0

Answer:

Step-by-step explanation:

$g(x) = x^2 + 2\\\\h(x) = 2x^2-5x + 11$

To solve for g(4) , simply we would need to substitute 4 for x

$g(4)= (4)^2 + 2$

$g(4) = 16 + 2$

$g(4) = 18$

xxTIMURxx [149]3 years ago

4 0

( f + g ) (x) = –2x + 6

( f – g ) (x) = 8x – 2

( f × g ) (x) = –15x2 + 2x + 8

(
f
g
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(
x
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4
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x

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45% of all 1st graders at Sierra Elementary School are female students. This year there are 54 female 1st graders at Sierra Elem

Anit [1.1K]

Answer:

There are 120 1st graders at Sierra Elementary School this year

Step-by-step explanation:

Let n represent the total number of 1st graders at Sierra Elementary School

Since 45% of all 1st graders at Sierra Elementary School are female students and this year there are 54 female 1st graders, 45% of n is equal to 54

→ n( $\frac{45}{100}$ ) = 54

→ 45n = 5400

→ n = 120

3 0

2 years ago

Read 2 more answers

Let's say we have a triangle with sides called a, b, and c, and that b is the base. Our triangle has a height that we'll call h.

Irina18 [472]

Answer:

16.34 square inches.

Step-by-step explanation:

Given:

Base of triangle, b = 3 inches

Height of triangle, h = 10.89 inches

Question asked:

What is the area of this triangle in square inches?

Round your answer to the nearest hundredths place .

Solution:

As we know,

$Area\ of\ triangle =\frac{1}{2} \times base\times height$

$=\frac{1}{2} \times3\times10.89\\\\ =\frac{32.67}{2} \\\\ =16.335$

As, we have to find the answer to the nearest hundredths place, hence the area of triangle will be 16.34 square inches.

7 0

3 years ago

Which is the intersection of the sets {0, 1, 5, 7, 8} and {0, 5, 7, 9}?

MrRissso [65]

The intersection of the steps is just a fancy way of asking wi\hich numbers are in both equations so lets look and see :)

The 1st = 0...1...5...7...8
The 2nd =0........5...7........9
Answer = D {0, 5, 7}
Hope this helps have any questions let me know :)

6 0

3 years ago

A building 84 ft high casts a 46 ft shadow. How tall is a building that casts a 110 ft shadow at the same time of the day? (to t

Bond [772]

The ratio of building heights will be the same as the ratio of shadow lengths.
(taller building)/(shorter building) = (longer shadow)/(shorter shadow)
(taller building)/(84 ft) = (110 ft)/(46 ft) . . . . . . fill in the given numbers
(taller building) = (84 ft)*(110/46) ≈ 200.9 ft . . multiply by 84 ft, evaluate

The appropriate selection is
D) 200.9 ft

4 0

2 years ago

Read 2 more answers

Write a variable expression to describe the rule for the sequence. Then find the 100th term. 35, 36, 37,...

Dmitry [639]

Given expression is 35, 36, 37, 38...

First term a = 35

Common difference d = 36-35 = 1

Nth term of arithmetic sequence is:

$n_{th} = a+ (n-1)d$