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3 years ago

Multiply (x-4)(2x+3) using FOIL method. Select the answer choice showing the FOIL method products

2 answers:

4 0

I would say C!

(x-4)(2x+3)
x times 2x
x times 3
-4 times 2 x
-4 times 3
I know you don't need this, but after add all like terms to get your final answer.

Strike441 [17]3 years ago

3 0

(x - 4)(2x + 3)

FOIL = first,outside,inside,last

F -- so multiply first terms in each set....(x)(2x)
O -- multiply outside terms in each set...(3)(x)
I -- multiply inside terms in each set....(-4)(2x)
L -- multiply last terms in each set.......(-4)(3)

so we have : (x)(2x) + (3)(x) + (-4)(2x) + (-4)(3).....answer C

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A bank offers auto loans to qualified customers. The amount of the loans are normally distributed and have a known population st

vlabodo [156]

Answer: 1.467

Step-by-step explanation:

Formula of Margin of Error for (n<30):-

$E=t_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

Given : Sample size : n= 22

Level of confidence = 0.90

Significance level : $\alpha=1-0.90=0.10$

By using the t-distribution table ,

Critical value : $t_{n-1, \alpha/2}=t_{21,0.05}= 1.720743$

Standard deviation: $\sigma=4$

Then, we have

$E=(1.720743)\dfrac{4}{\sqrt{22}}=1.46745456106\approx1.467$

Hence, the margin of error for the confidence interval for the population mean with a 90% confidence level =1.467

5 0

2 years ago

Read 2 more answers

C. 24 less then double x .

beks73 [17]

Answer:

For this type of question you might want to give a domain in a set statement

ie.24 is less than 2(13,14,15,...)

Or

If my first answer was a deviation then you were probably being asked to subtract 24 from 2times a given number being represented by the variable x

6 0

2 years ago

Please help I really need help please

fomenos

Answer:

Step-by-step explanation:

The side lengths must satisfy the Pythagorean Theorem to be a right triangle. The formula is $a^2 + b^2 = c^2$ where a is the smallest side, b is the medium side, and c is the largest side. Test each set of numbers.

$a = 6, b = 8, c= 10\\6^2 + 8^2 = 10^2\\36 + 64 = 100\\100 = 100$

This satisfies the theorem. Since this is a multiple choice question, only one solution is possible. A is the solution.

6 0

3 years ago

Find the slope of the line that passes through (9, 6) and (4, 5).

boyakko [2]

Answer:

slope = $\frac{1}{5}$

Step-by-step explanation:

calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (9, 6 ) and (x₂, y₂ ) = (4, 5 )

m = $\frac{5-6}{4-9}$ = $\frac{-1}{-5}$ = $\frac{1}{5}$

8 0

1 year ago

What is the result of substituting for y in the bottom equation y=x+3 y=x^2+2x-4

8_murik_8 [283]

The solutions are (2.1925, 5.1925) and (-3.1925, -0.1925)

Solution:

Given that,

$y = x + 3 ------- eqn 1\\\\y = x^2 + 2x - 4 ----- eqn 2$

We have to substitute eqn 1 in eqn 2

$x + 3 = x^2 + 2x - 4$

$\mathrm{Switch\:sides}\\\\x^2+2x-4=x+3\\\\\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}\\\\x^2+2x-4-3=x+3-3\\\\\mathrm{Simplify}\\\\x^2+2x-7=x\\\\\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}\\\\x^2+2x-7-x=x-x\\\\\mathrm{Simplify}\\\\x^2+x-7=0$

$\mathrm{Solve\:with\:the\:quadratic\:formula}\\\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=1,\:b=1,\:c=-7\\\\x =\frac{-1\pm \sqrt{1^2-4\cdot \:1\left(-7\right)}}{2\cdot \:1}$