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3 years ago

31.447 to nearest tenth

2 answers:

4 0

The tenth place is the place value that is directly to the right of the decimal point.
31.447 rounded to the nearest tenth would be 31.4

never [62]3 years ago

3 0

31.4 will be your answer

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PLEASEEEE HELP ME WHAT IS THE SLOPE OF THE LINE AN Y INTERCEPT PLS HELP ME

nata0808 [166]

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8 0

3 years ago

Solve 5x^2+2x=1 using either factoring, square root method, completing the square or quadratic formula.

wolverine [178]

Answer:

x = -1 ± √6 / 5

Step-by-step explanation:

Solve $5x^{2}$ + 2x = 1

move 1 to the left side of the equation by subtracting it from both sides.

$5x^{2}$ + 2x - 1 = 0

Use the quadratic formula to find the solutions.

-b± $\sqrt{b^2 - 4 (ac)}$ / 2a

Substitute the values a = 5 , b = 2, and c = -1 into the quadratic formula and solve for x

-2± $\sqrt{2^2 - 4(5 - 1)}$ / 2 ⋅ 5

Simplify.

x = -2 ± 2 $\sqrt{6}$ / 10

x = -1 ± $\sqrt{6}$ / 5

Exact Form:

x = -1 ± $\sqrt{6}$ / 5

4 0

3 years ago

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

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

Explicit Formula

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

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

Recursive Formula

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

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

Explicit Formula:

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

Recursive Formula

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

Part D

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

Explicit formula

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

Recursive Formula

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

6 0

3 years ago

Toby found a $52 wallet on tge clearance rack for 60% off. if sales tax is 6.25%, how much will he pay in total

mylen [45]

Answer: Toby will pay $34.45.

Step-by-step explanation:

I did 60% of 52 and the 6.25% of 52 and added my answers together.

7 0

3 years ago

Read 2 more answers

Factor 5(2x+7)+4(2x+7) enter your answer in the box

AfilCa [17]

Answer:

18x+63

Step-by-step explanation:

First you've to simplfy it, multiply the first bracket by 5 and the second by 4.

= (5)(2x)+(5)(7) + (4)(2x)+(4)(7)

= 10x+35+8x+28

Combine Like Terms:

= 10x+35+8x+28

= (10x+8x)+(35+28)

= 18x+63

6 0

3 years ago

Read 2 more answers