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Grace [21]
4 years ago
7

Please answer correctly,I'm struggling.

Mathematics
1 answer:
balu736 [363]4 years ago
3 0

Answer:

Step-by-step explanation:

2x² + 5x - 3 = 2x² - x + 6x - 3*1

                  =x(2x - 1) + 3(2x - 1)

                 = (2x -1)(x + 3)

\frac{x+3}{\frac{2x^{2}+5x-3}{x+1}}=(x+3)*\frac{x+1}{2x^{2}+5x-3}\\\\=(x+3)*\frac{(x+1)}{(2x-1)(x+3)}\\\\=\frac{x+1}{2x-1}\\\\5+\frac{x+3}{\frac{2x^{2}+5x-3}{x+1}}=5+\frac{x+1}{2x-1}\\\\=\frac{5*(2x-1)+(x+1)}{2x-1}\\\\=\frac{10x-5+x+1}{2x-1}\\\\=\frac{11x-4}{2x-1}

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What is the circumference of the following circle when diameter = 9 cm
gtnhenbr [62]

Answer:

The answer is C≈28.27cm

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·9≈28.27433cm

3 0
3 years ago
Read 2 more answers
300 is what percent of 1200
Nadya [2.5K]
Two ways:

\frac{300}{1200} = \frac{1}{4}  and 1/4 = 25%

Another way.

300 = n% of 1200
Problem - we can't move n% back two place to change it to a decimal since we don't know what n is.   Solution - move the decimal back on the 1200 two places because since of means x, it doesn't matter.   Sample .45 x 32 = 45 x .32  Notice that the decimal can be place on either number and it results in the same answer.

So 300 = 12n   (1200 moved back 2 places)
    now divide by 12
<u>300</u>  = <u>12n
</u>12       12       and once again n=25(%)<u>
</u><u>
</u>
4 0
3 years ago
Read 2 more answers
Simplify the ratio 24:120
Vaselesa [24]
24: 1, 2, 3, 4, 6, 8, 12, 24
120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

The GCF of 24 and 120 is 24.

24:120 / 24:24 = \\  1:5
3 0
3 years ago
Read 2 more answers
Find the equation of the sphere in standard form centered at (−6,10,5) with radius 5.
Dovator [93]

Answer:

The equation of the sphere in standard form is

x^{2} +y^{2}+z^{2} +12 x-20 y-10 z+136=0

Step-by-step explanation:

<u>Step 1</u>:-

The equation of the sphere having center and radius is

(x-h)^{2} +(y-k)^{2} +(z-l)^{2} = r^{2}

Given centered of the sphere is (-6,10,5) and radius r=5

(x-(-6))^{2} +(y-10)^{2} +(z-5)^{2} = 5^{2}

on simplification,we get

using (a+b)^{2} =a^{2} +2 a b+b^{2}

using (a-b)^{2} =a^{2} -2 a b+b^{2}

simplify , we get

x^{2} +y^{2}+z^{2} +12 x-20 y-10 z+136=0

8 0
3 years ago
Assume that all interest is simple interestBerger Car rental borrow $8500 at 4% interest to cover the increase cost of the auto
viva [34]

we know that

The formula of simple interest is equal to

I=P(rt)

In this problem

we have

I=$170

P=$8,500

r=4%=4/100=0.04

t=?

substitute given values in the formula

\begin{gathered} 170=8,500(0.04t) \\ Solve\text{ for t} \\ t=\frac{170}{8,500*0.04} \\ t=0.5\text{ years} \end{gathered}

therefore

0.5 years=6 months

<h2>The answer is 6 months</h2>
5 0
2 years ago
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