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2 years ago

What is the product?

Mathematics

2 answers:

Alexxandr [17]2 years ago

6 0

Answer:

Option B.

Step-by-step explanation:

The given expression is

$\dfrac{2a-7}{a}\times \dfrac{3a^2}{2a^2-11a+14}$

We need to find the product.

The given expression can be rewritten as

$\dfrac{2a-7}{a}\times \dfrac{3a^2}{2a^2-7a-4a+14}$

$\dfrac{2a-7}{a}\times \dfrac{3a^2}{a(2a-7)-2(2a-7)}$

$=\dfrac{2a-7}{a}\times \dfrac{3a^2}{(2a-7)(a-2)}$

$=\dfrac{(2a-7)3a^2}{a(2a-7)(a-2)}$

Cancel out the common factors.

$=\dfrac{3a}{a-2}$

So, $\dfrac{2a-7}{a}\times \dfrac{3a^2}{2a^2-11a+14}=\dfrac{3a}{a-2}$

Therefore, the correct option is B.

masya89 [10]2 years ago

3 0

Answer:

Therefore, the correct option is B.

Step-by-step explanation:

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Answer please cuz I'm very confused

Anestetic [448]

5x + 3y = - 53

the equation of a line in ' slope- intercept form ' is y = mx + c

where m is the slope and c the y-intercept

rearrange 3x - 5y = - 15 into this form to obtain m → (subtract 3x from both sides)

- 5y = - 3x - 15 → divide all terms by - 5 )

y = $\frac{3}{5}$ x + 3 → in slope-intercept form with m = $\frac{3}{5}$

given a line with slope m then the slope m₁ of a line perpendicular to it is

m₁ = - $\frac{1}{m}$ = - 1 ÷ $\frac{3}{5}$ = - $\frac{5}{3}$

partial equation is y = - $\frac{5}{3}$ x + c

to find c substitute ( - 7, - 6) into the partial equation

- 6 = $\frac{35}{3}$ + c ⇒ c = - 6 - $\frac{35}{3}$ = - $\frac{53}{3}$

y = - $\frac{5}{3}$ x - $\frac{53}{3}$ → in slope intercept form

multiply all terms by 3

3y = - 5x - 53 → ( add 5x to both sides )

5x + 3y = - 53 → in standard form

6 0

3 years ago

I Hope That This Ain't A Fairytale

inysia [295]

Answer:

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Step-by-step explanation:

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2 years ago

(23.01) In a randomized comparative experiment on the effect of dietary calcium on blood pressure, researchers divided 58 health

Paul [167]

Answer:

$113.7-2.154\frac{9.1}{\sqrt{29}}=110.06$

$113.7+2.154\frac{9.1}{\sqrt{29}}=117.34$

And the 96% confidence is given by (110.06; 117.34)

Step-by-step explanation:

Information given

$\bar X=113.7$ represent the sample mean

$\mu$ population mean (variable of interest)

s=9.1 represent the sample standard deviation

n=29 represent the sample size

Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom are given by:

$df=n-1=29-1=28$

The Confidence is 0.96 or 96%, the significance is $\alpha=0.04$ and $\alpha/2 =0.02$ , and the critical value would be $t_{\alpha/2}=2.154$

Replacing the info we got:

$113.7-2.154\frac{9.1}{\sqrt{29}}=110.06$

$113.7+2.154\frac{9.1}{\sqrt{29}}=117.34$

And the 96% confidence is given by (110.06; 117.34)

5 0

3 years ago

Connie started with___ in her saving account Fill in the blank

Irina18 [472]

Answer:

Connie started with $25 in her savings account.

Step-by-step explanation:

The y-intercept is the value of the function at time zero.

At x = 0, which is week zero, when Connie opened the account, the y value is 25. That means she opened the account with $25.

Answer: $25

3 0

2 years ago

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Simplify -2(-4x + 5)

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Answer:

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