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2 years ago

Factor out in steps. . 3p^2-2p-5.

Mathematics

2 answers:

Andrew [12]2 years ago

7 0

<span>so 1st we have to break the mid term
3p2 - 5p</span> + <span>3p - 5
</span> <span>(p+1) • (3p-5)
</span>

inn [45]2 years ago

6 0

$3p^2-2p-5=3p^2-5p+3p-5=p(3p-5)+1(3p-5)\\\\=\boxed{(3p-5)(p-1)}$

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Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,169 was collected on the sale of 1,325 ticket

eimsori [14]

Answer:

461 adults and 864 students

Step-by-step explanation:

We can set-up a system of equations to find the number of adults. We know students and adults attended. We will let s be the number of students and a be the number of adults. Since 1,325 tickets were purchased, then s+a=1325.

We also know that a total of $3,169 was collected and adult tickets cost $5 each and students cost $1 each. We can write 1s+5a=3169.

We will solve by substituting one equation into the other. We first solve the first equation for s which is s=1325-a. Substitute s=1325-a into 1s+5a=3169. Simplify and isolate the variable a.

1(1325-a)+5a=3169

1325-a+5a=3169

1325+4a=3169

1325-1325+4a=3169-1325

4a=1844

a=461

This means that 461 adults attended and 864 students attended since 864+461=1325.

8 0

2 years ago

2(3w-5y) expanded <br>please

Snezhnost [94]

<h2><u>DISTRIBUTIVE PROPERTY</u></h2>

The distributive property indicates that multiplying a number by the sum of two addends is equal to multiplying each addend individually by the number and then adding the products together.

In general terms:

‎ ‏‏‎

<u>In this exercise</u>:

Let's apply the distributive property:

$\mathsf{2(3w - 5y)}$

$= \mathsf{2(3w) - 2(5y)}$

$= \boxed{\mathsf{6w - 10y}}$

‎ ‏‏‎

<h3><u>Answer</u>: 6w - 10y</h3>

‎ ‏‏‎

7 0

2 years ago

Use the properties of operations to determine if each pair of expressions is equivalent

SIZIF [17.4K]

Using the properties of operations the given pair of expressions are not equivalent

<u>Solution:</u>

Given that, we have to use the properties of operations to determine if each pair of expressions is equivalent

<em><u>And the two expressions are:</u></em>

$\frac{1}{2}(4-2 x) \text { and } 2-2 x$

Now, we know that, there are four (4) basic properties of operations:

<em>Commutative, Associative, Distributive and Identity. These properties only apply to the operations of addition and multiplication.</em>

So, if we observe we can apply distributive property on 1st expression

The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum.

$\begin{array}{l}{\frac{1}{2}(4-2 x) \rightarrow \frac{1}{2}(4)-\frac{1}{2}(2 x)} \\\\ {\rightarrow 2-x}\end{array}$

Here the resulting expression is 2 – x and it is not equivalent to 2 – 2x

Hence, the given two expressions are not equal.

3 0

2 years ago

Write each polynomial in standard form. Then give the leading coefficient. You may need to combine like terms before writing the

Bond [772]

Step-by-step explanation:

To write a polynomial in standard form, put the degree that are the greatest first

So here it would be

${x}^{5} + 4 {x}^{3} - 3 {x}^{2} + 10$

Remember constant are numbers that you learned back in elementary,

Numbers like 10,90,4,1,0,-3 etc.

Remember that constant are basically represented like this

$k \times {x}^{0}$

For example, 10 is represented like

$10 \times {x}^{0}$

Since 0 is the smallest degree possible, for a polynomial, constants are the last term of a polynomial in standard form

6 0

1 year ago

Joelle has $15.75. She spent $6.38 at the store.

Alborosie

X + 6.38 = 15.75<span> would be the answer
x=9.37
for the first option, you are not adding 15.75 and x together.
for the second option, it is correct, because in the problem, it is giving the operation, 15.75-6.38=x. when you turn it do inverse operation, you get </span><span>x + 6.38 = 15.75.
for the third option, it doesn't make sense and it's not doing what the problem is asking for.
for the fourth option, you are not multiplying. you are subtracting </span>15.75 by<span> 6.38 to get x.</span>

4 0

3 years ago

Read 2 more answers