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2 years ago

Given f(x) = x^3 + kx + 9, and x + 1 is a factor of f(x) , then what is the value of the of k?

Mathematics

1 answer:

attashe74 [19]2 years ago

8 0

Can you please help me I really need help with math

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This expression is scientific notation for what number?<br> 8. 10-6

Pani-rosa [81]

Answer:

20-45 answer should be d good luck sorrybif im wrong

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1 year ago

Lacey already owns 7 hair bands, and additional hair bands are priced at 1 for a dollar. How

Nikitich [7]

Answer:

32 dollars

Step-by-step explanation:

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2 years ago

Quadrilateral ABCD is similar to Quadrilateral EFGH. Diagonal AC has length 7 and diagonal EG has length 13. What is the scale f

olasank [31]

Answer:

$\large \boxed{\text{A. }\dfrac{13}{7}\text{; B. }\dfrac{17}{14} \text{; C. 507 in}^{2}}$

Step-by-step explanation:

A. Scale factor

When you dilate an object by a scale factor, you multiply its line lengths by the same number.

If EF/AB = 13/7, the scale factor is 13/7.

B. Length of EF

$\begin{array}{rcl}\dfrac{EF}{AB} & = & \dfrac{13}{7}\\\\\dfrac{EF}{\frac{17}{26}} & = & \dfrac{13}{7}\\\\EF & = & \dfrac{13}{7}\times\dfrac{17}{26}\\\\ & = &\dfrac{1}{7}\times\dfrac{17}{2}\\\\ & = & \mathbf{\dfrac{17}{14}}\\\end{array}\\\text{The length of EF is $\large \boxed{\mathbf{ \dfrac{17}{14}}}$}$

C. Area of EFGH

If the lengths in a shape are all multiplied by a scale factor, then the areas will be multiplied by the scale factor squared.

ABCD is dilated by a scale factor of 13/7, so its area is dilated by a scale factor of

$\left(\dfrac{13}{7} \right)^{2} = \dfrac{169}{49}$

The area of its dilated image EFGH is

$\text{Area of EFGH} = \text{147 in}^{2} \times \dfrac{\text{169}}{\text{49}} = 3 \times 169\text{ in}^{2} = 507 \text{ in}^{2}\\\\\text{The area of EFGH is $\large \boxed{\textbf{507 in}^{\mathbf{2}}}$}$

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2 years ago

3x + 4y = 12<br> Convert to slope-intercept form

Zigmanuir [339]

Answer:

y=-3/4x+3

Step-by-step explanation:

subtract 3x from both sides: 4y=-3x+12

Divide both sides by 4: y=-3/4y+3

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2 years ago

Read 2 more answers

Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99% of all males. (accommodating 100

Helga [31]

Hip Breadths and Aircraft Seats
Engineers want to design seats in commercial aircraft so that they are wide enough to fit 98% of all males. (Accommodating 100% of males would be too expensive.) Men have hip breadths that are normally distributed with a mean of 14.4 in. and a standard deviation of 1.0 in. Find P 98. That is, find the hip breadth for men that separates the smallest 98% from the largest 2%.

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2 years ago