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2 years ago

Which would give the best estimate of 4 and 7/8 times 3 and 6/7

Mathematics

2 answers:

balandron [24]2 years ago

5 0

Me I would go with 3 time 6/7

maria [59]2 years ago

4 0

Round up 4 and 7/8 to 5 and 3 and 6/7 to 4. After that, multiply 5x4=20. So your answer is 20.

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In 2005 Richard earned £22,000 per year.

Slav-nsk [51]

It’s 45%

Explanation = 31900-22000/22000 • 100 = 45%

6 0

3 years ago

The length of a rectangle is two more than twice the width. the perimeter is 58ft. what is the area of the rectangle?

goldenfox [79]

58/2 = 29

w +2w+2 = 29

3w+2 =29

3w = 27

w = 27/3 = 9

width = 9

length = 2*9=18+2 = 20

20+20+9+9 = 58

Length = 20 feet

width = 9 feet

5 0

3 years ago

Solve the following equations.<br> log2(x^2 − 16) − log^2(x − 4) = 1

Alenkasestr [34]

Answer:

$x=\frac{4*(2+e)}{e-2}$

Step-by-step explanation:

Let's rewrite the left side keeping in mind the next propierties:

$log(\frac{1}{x} )=-log(x)$

$log(x*y)=log(x)+log(y)$

Therefore:

$log(2*(x^{2} -16))+log(\frac{1}{(x-4)^{2} })=1\\ log(\frac{2*(x^{2} -16)}{(x-4)^{2}})=1$

Now, cancel logarithms by taking exp of both sides:

$e^{log(\frac{2*(x^{2} -16)}{(x-4)^{2}})} =e^{1} \\\frac{2*(x^{2} -16)}{(x-4)^{2}}=e$

Multiply both sides by $(x-4)^{2}$ and using distributive propierty:

$2x^{2} -32=16e-8ex+ex^{2}$

Substract $16e-8ex+ex^{2}$ from both sides and factoring:

$-(x-4)*(-8-4e-2x+ex)=0$

Multiply both sides by -1:

$(x-4)*(-8-4e-2x+ex)=0$

Split into two equations:

$x-4=0\hspace{3}or\hspace{3}-8-4e-2x+ex=0$

Solving for $x-4=0$

Add 4 to both sides:

$x=4$

Solving for $-8-4e-2x+ex=0$

Collect in terms of x and add $4e+8$ to both sides:

$x(e-2)=4e+8$

Divide both sides by e-2:

$x=\frac{4*(2+e)}{e-2}$

The solutions are:

$x=4\hspace{3}or\hspace{3}x=\frac{4*(2+e)}{e-2}$

If we evaluate x=4 in the original equation:

$log(0)-log(0)=1$

This is an absurd because log (x) is undefined for $x\leq 0$

If we evaluate $x=\frac{4*(2+e)}{e-2}$ in the original equation:

$log(2*((\frac{4e+8}{e-2})^2-16))-log((\frac{4e+8}{e-2}-4)^2)=1$

Which is correct, therefore the solution is:

$x=\frac{4*(2+e)}{e-2}$

6 0

3 years ago

A third-degree polynomial function f has real zeros -2, ½, and 3, and its leading coefficient negative. Write an equation for f.

WARRIOR [948]

Hello,

y=-k(x+2)(x-1/2)(x-3) where k is a real positive.

We may chose k=1
There are an infinite solutions.

3 0

3 years ago

Mr. McLaughlin was setting up for parent teacher meetings in the gym. The door was 42 inches wide and 84 inches tall. He needed

xz_007 [3.2K]

Yes he would be able to because the guy could just put it a a diagonal angle and it would fit but it you can't do that then no it wouldn't fit

8 0

3 years ago