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3 years ago

15

Write an equation in factored form that's degree is 6. It must have 1 root that is tangent to the x-axis (bounces) and 1 root th

at passes through the x-axis with a higher exponent (squiggle).

1 answer:

DENIUS [597]3 years ago

8 0

lobekwkrhjejejkekekek

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Please help solve this

KIM [24]

Answer:

49/54

Step-by-step explanation:

3 0

3 years ago

A small garden measures 9 ft by 13 ft. A uniform border around the garden increases the total area to 192 ft square. What is the

victus00 [196]

The width of border is 1.5 feet

<h3><u>Solution:</u></h3>

Given that small garden measures 9 ft by 13 ft

A uniform border around the garden increases the total area to 192 ft square

To find: width of border

Let the width of border be "x"

Then the new measures of garden are (9 + 2x) feet and (13 + 2x) feet

The total area of garden = 192 square feet

$(9 + 2x)(13 + 2x) =192$

$117 + 18x + 26x + 4x^2 = 192\\\\4x^2 + 44x - 75 = 0$

<em><u>Let us solve the above equation by quadratic formula</u></em>

$\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Using the above formula,

For $4x^2 + 44x - 75 = 0$ , we have a = 4 ; b = 44 ; c = -75

Substituting the values of a = 4 ; b = 44 ; c = -75 in above quadratic formula we get,

$\begin{aligned}&x=\frac{-44 \pm \sqrt{44^{2}-4(4)(-75)}}{2 \times 4}\\\\&x=\frac{-44 \pm \sqrt{1936-1200}}{8}\\\\&x=\frac{-44 \pm \sqrt{3136}}{8}\\\\&x=\frac{-44 \pm 56}{8}\end{aligned}$

$\begin{aligned}&x=\frac{-44+56}{8} \text { or } x=\frac{-44-56}{8}\\\\&x=\frac{12}{8} \text { or } x=\frac{-100}{8}\\\\&x=1.5 \text { or } x=-12.5\end{aligned}$

Since "x" cannot be negative,

we get x = 1.5

Thus width of border is 1.5 feet

4 0

3 years ago

An amount of $40,000 is borrowed for 11 years at 7 5% interest compounded annually. If the loan is paid in full at the end of th

valina [46]

Amount to be paid back = $ 88,624.36

<u>Step-by-step explanation:</u>

Principal amount = $ 40,000

Rate of interest = 7.5%

Number of years = 11

$A=P\left(1+\frac{r}{n}\right)^{n t}$

Plugin the values as,

$A=40000\left(1+\frac{7.5}{100}\right)^{11}$

$A=40000(1+0.075)^{11}$

$A=40000(1.075)^{11}$

$A=\$ 88,624.36$

6 0

3 years ago

8+(-8)=. A is 16/b is -16/c is 0/d is 8

Setler [38]

Answer:

C. 0

Step-by-step explanation:

When adding a negative number, you are just subtracting

So, 8 - 8=0

3 0

3 years ago

Read 2 more answers

10 Points!!! Write the equation of a line with slope 2 and y-intercept -1.

Alchen [17]

Answer:

y=2x-1

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers