If a=3 and b=5, find b (a+b)A. 3/8B. 5/8

Mathematics

2 answers:

sammy [17]3 years ago

7 0

b (a+b)
Substitute variables for numbers
5 (3+5)
Use distributive property
15+25
Add
Final Answer: 40

vova2212 [387]3 years ago

5 0

Hi there!

First of all to begin we can switch out the variables for the given numbers to replace them. In our case a=3 and b=5. This is pretty simple.
Your new equation would look like -> 5 (3+5)

Remember that the number outside the parenthesis means to multiply. First of all we are going to do what's in the parenthesis. Keep in mind PEMDAS.

3+5 = 8

Now multiply 8 by the 5 that we mentioned earlier sitting outside the parenthesis.

8 × 5 = 40.

Your correct answer is 40.

I'm not so sure about the answer choices you have there. But closest to 40 is answer choice A.
Are your answer choices correctly typed? Because my 40 definitely doesn't match answer choice A or B.
Anyway, hope this helped you.

You might be interested in

Apply the following translation to the point Q (-5, -1):

xxTIMURxx [149]

Answer:

okkk

Step-by-step explanation:

4 0

3 years ago

HELP 40 POINTS

Tom [10]

Answer: the function g(x) has the smallest minimum y-value.

Explanation:

1) The function f(x) = 3x² + 12x + 16 is a parabola.

The vertex of the parabola is the minimum or maximum on the parabola.

If the parabola open down then the vertex is a maximum, and if the parabola open upward the vertex is a minimum.

The sign of the coefficient of the quadratic term tells whether the parabola opens upward or downward.

When such coefficient is positive, the parabola opens upward (so it has a minimum); when the coefficient is negative the parabola opens downward (so it has a maximum).

Here the coefficient is positive (3), which tells that the vertex of the parabola is a miimum.

Then, finding the minimum value of the function is done by finding the vertex.

I will change the form of the function to the vertex form by completing squares:

Given: 3x² + 12x + 16

Group: (3x² + 12x) + 16
Common factor: 3 [x² + 4x ] + 16
Complete squares: 3[ ( x² + 4x + 4) - 4] + 16
Factor the trinomial: 3 [(x + 2)² - 4] + 16
Distributive property: 3 (x + 2)² - 12 + 16
Combine like terms: 3 (x + 2)² + 4

That is the vertex form: A(x - h)² + k, whch means that the vertex is (h,k) = (-2, 4).

Then the minimum value is 4 (when x = - 2).

2) The othe function is g(x)= 2 *sin(x-pi)


The sine function goes from -1 to + 1, so the minimum value of sin(x - pi) is - 1.

When you multiply by 2, you just increased the amplitude of the function and obtain the new minimum value is 2 (-1) = - 2

Comparing the two minima, you have 4 vs - 2, and so the function g(x) has the smallest minimum y-value.

7 0

4 years ago

(a + b - c )(a + b + c )

denis-greek [22]

Answer:

$a^2+b^2-c^2+2ab$