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4 years ago

Find values of a and b that make the following equality into identity:

Mathematics

1 answer:

joja [24]4 years ago

6 0

Answer:

a = -2/5 and b = 2/5.

Step-by-step explanation:

Multiply each term by (x + 3)(x - 2) :

2 ≡ a(x - 2) + b(x + 3)

Let x = 2:

2 ≡ 0 + 2b + 3b

b = 2/5.

Let x = -3:

2 ≡ a(-3-2) + 0

a = -2/5

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What is the volume of the rectangular pyramid shown? 22 yd. 20 yd 15 yd

borishaifa [10]

Answer:

C. 3,300

Step-by-step explanation:

5 0

3 years ago

Which could be the first step in simplifying this expression? Check all that apply. (x cubed x Superscript negative 6 Baseline)

PtichkaEL [24]

Answer:

$(x^{-3} )^{2}$

$x^6 x^{-12}$

Step-by-step explanation:

$(x^{3} x^{-6} )^{2}$ is the expression given to be solved.

First of all let us have a look at 3 formulas:

$1.\ p^a \times p^b = p^{(a+b)}\\2.\ (p^a \times q^b)^c = (p^{a})^c \times (q^{b})^c\\3.\ (p^a)^b = p^{a\times b}$

Both the formula can be applied to the expression( $(x^{3} x^{-6} )^{2}$ ) during the first step while solving it.

Applying formula (1):

$(x^{3} x^{-6} )^{2}$

Comparing the terms of $(x^{3} x^{-6} )$ with $p^a \times p^b$

$p=x, a =3, b=-6$

$\Rightarrow x^{3+(-6)}\\\Rightarrow x^{3-6}\\\Rightarrow x^{-3}$

So, $(x^{3} x^{-6} )^{2}$ is reduced to $(x^{-3} )^{2}$

Applying formula (2):

Comparing the terms of $(x^{3} x^{-6} )^{2}$ with $(p^a \times q^b)^c$

$p=q=x, a =3, b=-6, c=2$

$\Rightarrow (x^{3})^2\times (x^{-6})^2\\\text{Applying Formula (3)}\\x^6 x^{-12}$

So, $(x^{3} x^{-6} )^{2}$ is reduced to $x^6 x^{-12}$ .

So, the answers can be:

$(x^{-3} )^{2}$

$x^6 x^{-12}$

8 0

3 years ago

Which graph shows that Cindy reads about 3/4 of the time while riding in the car?

wolverine [178]

The graph that shows a unit rate of 3/4, which is the time Cindy reads while riding in the car is the graph attached below.

Unit rate can be described as a constant or exactly how much of one quantity is per 1 unit of another quantity.

Unite rate (k) = x/y.

In the graph attached below, when x (hours driving) = 3, y (hours reading) = 4.

Therefore, unit rate = 3/4. We can then conclude that the graph that shows that Cindy reads 3/4 of the time she rides in a car is the graph attached below.

Learn more about unit rate on:

brainly.com/question/19493296

#SPJ1

4 0

2 years ago

George invited 65 students in his school to volunteer at a charity race. 39 of the students signed up to volunteer. What percent

mr Goodwill [35]

Answer:

60%

Step-by-step explanation:

Divide the amount of people who showed up by the total invited...

39/65 = 0.6

To convert a decimal to a percent, multiply the decimal by 100%...

0.6(100%) = 60%

8 0

3 years ago

Which of the following are solutions to the equation sinx cosx = 1/4? Check all that apply.

N76 [4]

The solution is B. π/12+nπ

proof
sinx cosx = 1/4 is equivalent to 2 sinx cosx = 1/2 or sin2x =1/2
so 2x = arcsin(1/2) = π/6 + 2nπ, so x = π/12+nπ

8 0

4 years ago

Read 2 more answers