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Lelechka [254]
2 years ago
11

Given that f(x)=x+3 and g(x) = x^2 - x, find (f+g)(4)

Mathematics
1 answer:
madreJ [45]2 years ago
7 0

The answer is 19

Check out the attached images for the steps. They are slightly different approaches that lead to the same answer.

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Four baskets contain 1, 4, 6, and 9 apples respectively. At least how many apples should be moved between the baskets to have th
creativ13 [48]

Answer:

Mmmm tricky but I'll try..

take away 4 apples from the basket with 9 and place it in the one with 1 apple

then take away one apple from the one with 6 and place it in the basket with 4

And now you have 5 apples in each basket

Happy now?

4 0
2 years ago
Find the value of a.<br> A. 58<br> B. 130<br> C. 86<br> D. 65
tatiyna

Answer:

C. \ \ \ 86°

Step-by-step explanation:

1. Approach

In order to solve this problem, one must first find a relationship between arc (a) and arc (c). This can be done using the congruent arcs cut congruent segments theorem. After doing so, one can then use the secants interior angle to find the precise measurement of arc (a).

2. Arc (a) and arc (c)

A secant is a line or line segment that intersects a circle in two places. The congruent segments cut congruent arcs theorem states that when two secants are congruent, meaning the part of the secant that is within the circle is congruent to another part of a secant that is within that same circle, the arcs surrounding the congruent secants are congruent. Applying this theorem to the given situation, one can state the following:

a = c

3. Finding the degree measure of arc (a),

The secants interior angle theorem states that when two secants intersect inside of a circle, the measure of any of the angles formed is equal to half of the sum of the arcs surrounding the angles. One can apply this here by stating the following:

86=\frac{a+c}{2}

Substitute,

86=\frac{a+c}{2}

86=\frac{a+a}{2}

Simplify,

86=\frac{a+a}{2}

86=\frac{2a}{2}

86=a

5 0
3 years ago
What is three over two x plus three equal to zero
nataly862011 [7]

QUESTION → \frac{3}{2}x + 3 = 0

Start by subtracting 3 from both sides to get \frac{3}{2}x = -3.

Now multiply both sides by the reciprocal of 3/2, which is 2/3.

On the left, we have x, and on the right, -3(2/3) is -2.

So we have x = -2.

7 0
3 years ago
Read 2 more answers
In which pair of numbers is the first number of the multiple of the second number?
irina1246 [14]
Your answer would be c. 18,6 
7 0
2 years ago
A rock is projected directly upward from ground level with an initial velocity of 90 ft/sec. After how many seconds will it retu
Nastasia [14]
For this case we have the following equation of motion:
 h (t) = -16t ^ 2 + 90t
 Equaling the equation to zero we have:
 -16t ^ 2 + 90t = 0
 We look for the roots of the polynomial:
 (t) (- 16t + 90) = 0
 t1 = 0 (initial position)
 t2 = 90/16 = 5.625 s (time it reaches the ground again)
 Answer:
 
it will return to the ground in:
 
t = 5.625 s
4 0
3 years ago
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