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Nina [5.8K]
4 years ago
6

Equivalent 5(6x+3y)

Mathematics
1 answer:
STALIN [3.7K]4 years ago
3 0

The equivalent expression is 30x + 15y

<em><u>Solution:</u></em>

Given that we have to find the equivalent expression for given expression

<em><u>Given expression is:</u></em>

5(6x + 3y)

We can find the equivalent expression by using distributive property

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

<em><u>By distributive property,</u></em>

a(b + c) = ab + ac

Therefore, in given expression 5(6x + 3y), 5 can be multiplied with both 6x and 3y

\rightarrow 5(6x + 3y) = 5 \times 6x + 5 \times 3y

Multiply the numbers and simplify

\rightarrow 5(6x + 3y) = 5 \times 6x + 5 \times 3y = 30x + 15y

Thus the equivalent expression is 30x + 15y

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Solve the equation. Round the solution to the nearest tenth . Enter the solution set of the equation . 2P o =P 0 (1.053)^ t
kow [346]

Answer: t= 13.4

Step-by-step explanation:

The given equation is 2P_0=P_0(1.053)^t

To solve this equation for 't', we first divide both sides by P_0, we get

2=(1.053)^t

Taking log on both the sides, we get

\log 2= \log(1.053)^t

Since \log a^b=b\log a

Then,

\log 2= t\log1.053\\\\\Rightarrow0.30103=t(0.02243)\\\\\Rightarrow t=\dfrac{0.30103}{0.02243}\\\\\Rightarrow t=13.4208649131\approx13.4

Hence, the value of t is 13.4.

6 0
3 years ago
Can someone help me on 6 and 9?
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3 years ago
What is the area of this rectangle? Provide supportive evidence so I can learn better about this. I’m having troubles.
Katyanochek1 [597]

Answer:

the answer is 15x^8 y^3

Step-by-step explanation:

the area of a rectangle is length times width right? this means you have to multiply the values that represent the length and width. in this case those values would be 5x^6 y^2 and 3x^2 y

step 1. set up your problem

it should look like this:

(5x^6 y^2)(3x^2 y)

step 2. multiply the values with corresponding variables

first, x values

(5x^6)(3x^2)

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you should end up with 15x^8

next, y values

y^2 + y

remember what i said about multiplying exponents? you just add the power the variables are raised to. in this case, 2 and 1. when their is no exponent we just add a 1. so, 2+1=3

you end up with y^3

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4 0
3 years ago
F(x)=x²+4x-7 determine the vertex
asambeis [7]

Answer:

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Step-by-step explanation:

One way of finding the x-coordinate of the vertex of a parabola is by using the equation -\frac{b}{2a}

From the function f(x)=x^2+4x-7, we can see that

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So, the x-value of the vertex is -2. Now, we can plug this x-value into the function to find the y-coordinate of the point.

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Thus, the vertex of this parabola is (-2,-11)

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