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konstantin123 [22]

4 years ago

15

Identify the number of solutions: 5x + 4 = 5x + 4

1 answer:

Murrr4er [49]4 years ago

6 0

Answer:

0,4) : not a solution

(-2,4) ; solution

(0,5) : solution

(-2,7) : solution

(-4,1) : not a solution

(-1,1) : not a solution

(-1.5,3.5) : solution

any point that falls in the grey area is a solution....if ur points lie on a dashed line, it is not a solution...but if ur points lie on a solid line, it is a solution

Step-by-step explanation:

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A box of 15 cookies costs $9.<br> MY<br> What is the cost for 1 cookie?

Nitella [24]

Answer: $0.6

Step-by-step explanation:

15cookies= $9

1 cookie = x

Cross multiply

15x= 9

Divide both sides by 15

x= 9/15= 3/5= $0.6

4 0

3 years ago

Read 2 more answers

A Company increased the number of its employees from 340 to 425. Find the percent increase.

Inessa [10]

25%

Because You must do the original number by the new.

so, 425-340= 85

but ur not done now,

divide that 85 by the original number then times by 100!

85/340= .25*100= 25%

and ur done hope this helped

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3 years ago

Luis makes 3 free throw out of 7 shots. How many free throws will he make if he shoots 21 times

alina1380 [7]

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3 years ago

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State whether each sequence is arithmetic and justify your answer. If the sequence is arithmetic, write a recursive and an expli

nasty-shy [4]

Answer:

Part A

$f(n)=52-12(n-1)$

$f(n)=\left\{\begin{matrix}52\: \:if \: \:n=1 & \\f(n+1)+12& if\: n\geq 2 \end{matrix}\right.$

Part B

$(2,4,8,16,32)\: \:$ Geometric Sequence

Part C

1/4,3/4,5/4,7/4,9/4

$g(n)=\frac{1}{4}+\frac{2}{4}(n-1)\\f(n)=\left\{\begin{matrix}1/4if \: \:n=1 & \\ f(n+1)+2/4& if\: n\geq 2 \end{matrix}\right$

Part D:

$h(n)=1.1+0.4(n-1)\\h(n)=\left\{\begin{matrix}1.1 & if\:n=1 \\ h(n+1)+0.4 & if\:n\geq 2\end{matrix}\right$

Step-by-step explanation:

By definition, an Arithmetic Sequence holds the same difference between each following number.

Part A

$(52,40, 28, 16)\\52-40=12\\40-28=12\\28-16=12\\d=12$

<u>Explicit Formula</u>

To write an explicit formula is to write it as function.

$f(n)=52-12(n-1)$

<u>Recursive Formula</u>

To write it as recursive formula, is to write it as recurrence given to some restrictions:

$f(n)=\left\{\begin{matrix}52\: \:if \: \:n=1 & \\f(n+1)+12& if\: n\geq 2 \end{matrix}\right.$

Part B

$(2,4,8,16,32)\: \:$

Geometric Sequence, since 2*2=4 8*2=16 and 16*2=32 and 8+2=10 8+16=24

Part C

$(\frac{1}{4},\frac{3}{4},\frac{5}{4},\frac{7}{4},\frac{9}{4})\\\$

Arithmetic Sequence, difference

$d=\frac{2}{4}$

<u>Explicit Formula:</u>

$g(n)=\frac{1}{4}+\frac{2}{4}(n-1)$

<u>Recursive Formula</u>

$g(n)=\left\{\begin{matrix}\frac{1}{4} &if\:n=1 \\ g(n+1)+\frac{2}{4} &if\: n\geq 2\end{matrix}\right.$

Part D

(1.1,1.5,1.9,2.3,2.7) Arithmetic Sequence, difference d=0.4

<u>Explicit formula</u>

$h(n)=1.1+0.4(n-1)\\$

<u>Recursive Formula</u>

$h(n)=\left\{\begin{matrix}1.1 &if\:n=1 \\ h(n+1)+0.4 &if\: n\geq 2\end{matrix}\right.$

6 0

3 years ago

Explain how you would find 45 x 7/9 mentally.

Novosadov [1.4K]

You would do 45 divided by 9 which is 5. Then you do 5x7= 35 and that's your answer

3 0

3 years ago