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3 years ago

Sarah made 12 more free throws than Connie. How many free throws did Connie make if Sarah made 72?

Mathematics

2 answers:

maks197457 [2]3 years ago

5 0

Let x resemble the amount of free throws Connie made. We can write an equation resembling the problem.

x - 12 = 72

Solve for x.

x + 12 = 72

~Subtract 12 to both sides

x + 12 - 12 = 72 - 12

~Simplify

x = 60

Therefore, Connie made 60 free throws.

Best of Luck!

Annette [7]3 years ago

4 0

Connie made 60 throws and Sarah made 72.

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Answer:

Step-by-step explanation:

3−2(x+1)=2x−7

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3+−2x+−2=2x+−7

(−2x)+(3+−2)=2x−7(Combine Like Terms)

−2x+1=2x−7

Step 2: Subtract 2x from both sides.

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Step 3: Subtract 1 from both sides.

−4x+1−1=−7−1

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Step 4: Divide both sides by -4.

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3 years ago

What type of conic is given by the equation 4x^2+9y^2=36

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Answer:

This is equation of ellipse

Step-by-step explanation:

we are given

$4x^2+9y^2=36$

We can see that right side is 36

so, we can make right side as 1 by dividing both sides by 36

$\frac{4x^2+9y^2}{36} =\frac{36}{36}$

$\frac{4x^2+9y^2}{36} =1$

$\frac{4x^2}{36}+\frac{9y^2}{36} =1$

we can simplify it

$\frac{x^2}{9}+\frac{y^2}{4} =1$

we can rewrite it as

$\frac{x^2}{3^2}+\frac{y^2}{2^2} =1$

now, we can compare it with standard equation of ellipse

$\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2} =1$

we can see that both equations are similar

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3 years ago

What is the factored form of the function f(x)=x^3+8x^2+5x−50?

Inga [223]

Answer:

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Step-by-step explanation:

We need to factorise the function $f(x)=x^3+8x^2+5x-50$

If a number is a factor of this function than it must be completely divisible by last co-efficient. Our last co-efficient is -50

Checking few numbers:

$f(1)=(1)^{3}+8(1)^2+5(1)-50\\f(1)=1+8+5-50\\f(1)=-32\\Now \ putting \ x= 2 \\f(2)=(2)^{3}+8(2)^2+5(2)-50\\f(2)=8+8(4)+10-50\\f(2)=8+32+10-50\\f(2)=0$

So, f(2)=0 which means x-2 is a factor of the given function. Now we will perform long division of $x^3+8x^2+5x-50$ by (x-2) to find other factors

The long division is shown in figure attached.

After long division we get: $x^2+10x+25$

The equation $x^2+10x+25$ can be further simplified as: (x+5)(x+5) or (x+5)^2

So, the factors of f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)

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3 years ago

Suppose that 20% of the residents in a certain state support an increase in the property tax. An opinion poll will randomly samp

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Answer:

C) There is roughly a 95% chance that the resulting sample proportion will be within 0.04 of the true proportion.

Step-by-step explanation:

Given that 20% of the residents in a certain state support an increase in the property tax.

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We want the sample proportion to be within 0.04 of the true proportion (i.e., between 0.16 and 0.24)

i.e. margin of error <0.04

Std error of sample = $\sqrt{\frac{pq}{n} } =\sqrt{\frac{0.2(0.8)}{400} } \\=0.02$

Critical value = margin of error/ std error = $\frac{0.04}{0.02} \\=2$

We know z value for 95% two tailed roughly equals 2.

Hence 95% confidence is right.

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3 years ago

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sleet_krkn [62]

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Thus, we have,

$k=10(-7)-19$

Multiplying the terms 10 and -7, we have,

$k=-70-19$

Simplifying, we get,

$k=-89$

Thus, the value of k is -89

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3 years ago