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4 years ago

11

Josh has five-eighths of a foot of plywood. To finish building the deck, he needs five times that amount. How many feet of plywo

od does Josh need?
A. 3 feet
B. 3 one-half feet
C. 3 one-eighth feet
D. 3 two-ninths feet

1 answer:

sp2606 [1]4 years ago

6 0

C. 3 one-eighth feet

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There were 10 games work out the mean number of goals per game

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Answer: 1x 10

5 + 5

Step-by-step explanation:

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3 years ago

Coco's garden has 888 tomato plants, 444 pepper plants, 333 squash plants, and 666 pumpkin plants. For every 777 plants in Coco'

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Answer:

WHY DOES SHE HAVE SO MANY PLANTS

Step-by-step explanation:

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4 years ago

Find a polynomial of the form

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Answer:

$f(x)=-\frac{1}{4}x^3-\frac{1}{6}x^2+\frac{65}{12}x-3$

Step-by-step explanation:

We are given that

$f(x)=ax^3+bx^2+cx+d$

f(0)=-3,f(1)=2,f(3)=5 and f(4)=0

We have to find the polynomial

Substitute the value x=0 then ,we get

f(0)=d=-3

Substitute x=1 then we get

$a+b+c-3=2$

$a+b+c=2+3=5$

$a+b+c=5$ (equation I)

Substitute x=3 then we get

$a(3)^3+b(3)^2+c(3)-3=5$

$27a+9b+3c=5+3=8$

$27a+9b+3c=8$ (Equation II)

Substitute x=4 then we get

$a(4)^3+b(4)^2+c(4)-3=0$

$64a+16b+4c=3$ (Equation III)

Equation I multiply by 3 then subtract from equation II

$24a+6b=-7$ (Equation IV)

Equation II multiply by 4 and equation III multiply by 3 and subtract equation II from III

$84a+12b=-23$ (Equation V)

Equation IV multiply by 2 and then subtract from equation V

$36a=-9$

$a=-\frac{9}{36}$

$a=-\frac{1}{4}$

Substitute the value of a in equation IV then we get

$24(-\frac{1}{4})+6b=-7$

$-6+6b=-7$

$6b=-7+6=-1$

$b=-\frac{1}{6}$

Substitute the value of b in equation I then we get

$-\frac{1}{4}-\frac{1}{6}+ c=5$

$-\frac{5}{12}+c=5$

$c=5+\frac{5}{12}=\frac{65}{12}$

Substitute the values then we get

$f(x)=-\frac{1}{4}x^3-\frac{1}{6}x^2+\frac{65}{12}x-3$

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4 years ago

Decimals on the number line:

Step2247 [10]

Answer:

I need to see the number line

Step-by-step explanation:

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3 years ago

Use the drop-down menus to complete each equation so the statement about its solution is true?

SashulF [63]

5 - 4 + 7x + 1 = 7x + (5 - 4 + 1) = 7x + 2

NO SOLUTIONS:

<em>5 - 4 + 7x + 1 = 7x + a </em><em>(a - any real number, except 2)</em>

ONE SOLUTION:

<em>5 - 4 + 7x + 1 = bx + c </em><em>(b - any real number, except 7, c - any real number)</em>

INFINITELY MANY SOLUTIONS:

<em>5 - 4 + 7x + 1 = 7x + 2</em>

Examples:

2x + 3 = 2x + 5 <em>subtract 2x from both sides</em>

3 = 5 FALSE <em>(NO SOLUTIONS)</em>

2x + 3 = x - 4 <em>subtract x from both sides</em>

x + 3 = -4 <em>subtract 3 from both sides</em>

x = -7 (<em>ONE SOLUTION)</em>

2x + 3 = 2x + 3 <em>subtract 2x from both sides</em>

3 = 3 TRUE <em>(INFINITELY MANY SOLUTIONS)</em>

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4 years ago