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Keith_Richards [23]
3 years ago
13

Which expression is a difference of squares with a factor of 2x + 5? 4x2 + 10 4x2 – 10 4x2 + 25 4x2 – 25

Mathematics
2 answers:
Naily [24]3 years ago
7 0

Answer:

The required expression is 4x^2-25

Step-by-step explanation:

The difference of squares formula is given by

(a+b)(a-b)=a^2-b^2

We have been given that one factor is 2x+5. Hence, a = 2x, b = 5

It means that other factor must be (a-b) = (2x-5)

Hence, in order to find the expression, we can multiply the factors.

(2x+5)(2x-5)

Using the difference of squares formula

(2x+5)(2x-5)\\\\=(2x)^2-5^2\\\\4x^2-25

Therefore, the required expression is 4x^2-25

aleksley [76]3 years ago
5 0
I hope this helps you

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The empty jug weighs 0.75 lb

With the 3c, the total weighs 2.25 lb. That means:

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3c = 2.25 - 0.75
3c = 1.5
 and 1c = 0.5 (so c is a constant -or the slope-)

Then the equation is:

y = 0.5x + 0.75


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3 years ago
Select all the fractions that are equivalent to each other.
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1/4
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4 0
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Read 2 more answers
Nevaeh invested $660 in an account paying an interest rate of 3% compounded
iris [78.8K]

Answer:

19

Step-by-step explanation:

Rate 1: 3  

4

1

​  

%=3+1/4=

\,\,3.25\%\rightarrow 0.0325

3.25%→0.0325

\text{Rate 2: }3\tfrac{1}{8}\%=3+1/8=

Rate 2: 3  

8

1

​  

%=3+1/8=

\,\,3.125\%\rightarrow 0.03125

3.125%→0.03125

\text{Calculate Final Amount for Nevaeh}

Calculate Final Amount for Nevaeh

\overline{\phantom{\text{Calculate Final Amount for Nevaeh}}}

Calculate Final Amount for Nevaeh

 

\text{Compounded Continuously:}

Compounded Continuously:

A=Pe^{rt}

A=Pe  

rt

 

P=660\hspace{35px}r=0.0325\hspace{35px}t=14

P=660r=0.0325t=14

Given values

A=660e^{0.0325(14)}

A=660e  

0.0325(14)

 

Plug in

A=660e^{0.455}

A=660e  

0.455

 

Multiply

A=1040.2744

A=1040.2744

Use calculator (with e button)

\text{Calculate Final Amount for Jonathan}

Calculate Final Amount for Jonathan

\overline{\phantom{\text{Calculate Final Amount for Jonathan}}}

Calculate Final Amount for Jonathan

 

\text{Compounded Monthly:}

Compounded Monthly:

A=P\left(1+\frac{r}{n}\right)^{nt}

A=P(1+  

n

r

​  

)  

nt

 

Compound interest formula

P=660\hspace{35px}r=0.03125\hspace{35px}t=14\hspace{35px}n=12

P=660r=0.03125t=14n=12

Given values

A=660\left(1+\frac{0.03125}{12}\right)^{12(14)}

A=660(1+  

12

0.03125

​  

)  

12(14)

 

Plug in values

A=660(1.0026042)^{168}

A=660(1.0026042)  

168

 

Simplify

A=1021.6468

A=1021.6468

Use calculator

\text{How much more money Nevaeh has:}

How much more money Nevaeh has:

1040.2744-1021.6468

1040.2744−1021.6468

18.6276

18.6276

\$ 19

$19

4 0
2 years ago
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