2 Which quadratic function describes the
graphed parabola with zeros at x = 1 and x = 5?
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6
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4
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-2
-1
0
23
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F f(x) = -2(x - 3)2 + 8
G f(x) = -2x2 + 12x - 10
H f(x) = -0.5(x - 3)2 + 2
J f(x) = -0.5x² – 3x - 6

The y-intercept of the line shown is -4.

Answer:

(a) The amount owed At the end of 1 year is $3,815

(b) The amount owed At the end of 2 years is $4,158.35

Step-by-step explanation:

The given parameters on the loan amount are;

The amount Salma borrows = $3,500

The interest rate at which the loan is borrowed, r = 9% compound interest annually

The assumption are that no payments are made out of the loan

(a) The formula for finding a compound interest loan amount, 'A' is given as follows;

[tex]A = P\cdot \left(1 + \dfrac{r}{n} \right)^{n\cdot t}[/tex]

Where;

A = The amount owed

P = The principal (the initial amount borrowed)

r = The interest rate = 9% = 0.09

n = The number of times the interest is paid per unit period, 't' = 1

t = The number of periods  of the loan = Number of years

At the end of 1 year, t = 1, we get;

[tex]A = 3,500 \times \left(1 + \dfrac{0.09}{1} \right)^{1 \times 1} = 3815[/tex]

The amount owed, A = $3,815 at the end of 1 year

(b) The amount owed at the end oy 2 years is found by plugging in t = 2 years into the formula for finding the amount owed by the borrower, therefore, we get;

[tex]A = 3,500 \times \left(1 + \dfrac{0.09}{1} \right)^{1 \times 2} = 4,158.35[/tex]

At the end of 2 years, the amount owed, A = $4,158.35

Answer:

Height = 4 ft

Step-by-step explanation:

Base are : 84.3 ft square

Volume : 337.2 square cuboid

Answer:

$12.50

Step-by-step explanation:

100%-20% -> $10

80% -> $10

100% -> [tex]\frac{100}{80}[/tex] × $10 = $12.50

Answer:

The original price was $12

Answer:

5/6

Step-by-step explanation:

mental math

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Answer: 4583.33$

Explanation:

55000 / 12

I hope this helped!

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- Zack Slocum

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Answer:

Experimental study

Step-by-step explanation:

Answer:

-60

Step-by-step explanation:

Well just follow the equation from left to right

Add it all up.

Answer:

7

Step-by-step explanation;

Rewriting our equation with parts separated:

4+1/7+2+6/7

Solving the whole number parts:

4+2=6

Solving the fraction parts:

1/7+6/7=7/7 (7/7 is a whole number) But first before simplifing, reduce the fraction, 7/7=1/1. Then 1/1=1.

Combining the whole and fraction parts:

(Solving the whole number parts - 6)

(Solving fraction parts - 1)

Answer:

A = 23.2 mm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 8 and h = 5.8 , then

A = 0.5 × 8 × 5.8 = 4 × 5.8 = 23.2 mm²

Answer:

92

Step-by-step explanation:

plug -4 into the function

3(-4)²-10(-4)+4

48+40+4

92

Answer:

92

Step-by-step explanation:

f(-4)=3(-4)^2-10(-4)+4

=3(16)-10(-4)+4

=48+40+4

=92

Answer:

1. 14m, 11, 18m

2. 132 (rounded from 131.946)

3. Quadrilateral (duh it has 4 sides) and a rhombus?

Step-by-step explanation:

1 a unique triangle is a triangle with side lengths that are ALMOST exactly like a triangle. I used the pyragothem theory (a^2 + b^2 equals c^2) and this one was soo close to 18 (17.8)

2 the equation for the circumference of a circle is C=dpi. the radius is half of the diameter so 21 time 2 is 42 then multi[ply by pi.

3 is definitely already a quadrilateral (all of them have 4 sides) and the only shade i can think of that can have a 130 degrees for 2 angles would be a longgg rhombus ( or diamond)

Answer:

A=πr^2

22/7×6×6

=113 1/7

Answer:

y = -3x + 4

Step-by-step explanation:

x   y

0  4

1    1

2  -2

Going down 3 for every increase of x by 1, when x = 0, y = 4

Step-by-step explanation:

Let x be the number of households you mowed grass.

Let y be the number of households you shoveled snow.

From there, we know,

[tex]x + y = 22[/tex]

as equation 1.

next we also know,

[tex]150x + 225y = 3900[/tex]

as equation 2.

From here we know we can solve using simultaneous equations.

rearranging equation 1 with y the subject,

[tex]y = 22 - x[/tex]

Substitute this equation into equation 2.

[tex]150x + 225(22 - x) = 3900 \\ 150x + 4950 - 225x = 3900 \\ - 75x + 4950 = 3900 \\ - 75x = 3900 - 4950 \\ - 75x = - 1050 \\ x = - 1050 \div - 75 \\ = 14[/tex]

now substitute x = 14 into equation 1.

[tex]14 + y = 22 \\ y = 22 - 14 \\ = 8[/tex]

Therefore, you have mowed grass for 14 households and shovelled snow for 8 households.

Answer:

You need to give the answer in ratio

Its really easy

Answer:  $4467.25

Step-by-step explanation:

Exponential decay problem. 8000(0.89)^5.  

100-11 = 89

89/100= 0.89, that is how we got the decimal.

Then, solve.

0.89 * 0.89 * 0.89 * 0.89 * 0.89 = 0.5584059449

0.5584059449 * 8000 = 4467.2475592

Round the decimal part to the nearest hundredth, which is $4467.25.

Answer:

f(2)= -4 f(3)= 1

Step-by-step explanation:

Answer:

Each shirt costed 9 dollars.

Step-by-step explanation:

35+10=45 (initial price)

45/5=9 dollars per shirt

Answer:

umm actually x is equal to 15 cause

5 (15) + 11 = 86 try solving it hope it helps

cause all you had to do is find the value of X

thank me later if it's right, kk?

Answer:

asi

Step-by-stepnasi

asiwe sfefo :V

Answer:

Box A

Step-by-step explanation:

Answer:

B is the correct answer

Answer:

D.

Step-by-step explanation:

7×3 = 21.

t × t = t².

y = y.

21t²y.

hope it helps. :)

Answer:

Part A

The 95% confidence interval is approximately 12.66 ≤  [tex]m_R[/tex] - [tex]m_D[/tex] ≤ 13.34

Part B

We are 95% confident that the true difference in the mean amount of waste per dollar stated by the two categories of adults is larger than zero and it is approximately between 12.66 and 13.34

Step-by-step explanation:

Part A

The given parameters are;

The mean amount adults that consider themselves Republican say is wasted for every dollar, [tex]m_R[/tex] = 54 cents

The standard deviation of the statistics, s₁ = 2.9 cents

The number of respondents in the group, n₁ = 513

The mean amount adults that consider themselves Democrats say is wasted for every dollar,   [tex]m_D[/tex]  = 41 cents

The standard deviation of the statistics, s₂ = 2.6 cents

The number of respondents in the group, n₂ = 513

The F-test, F = s₁²/s₂² = 2.9²/2.6² = 1.244

The critical-t, t* = 1.962

F ≤ t*, therefore, we pool the data

[tex]s_p =\sqrt{\dfrac{\left ( n_{1}-1 \right )\cdot s_{1}^{2} +\left ( n_{2}-1 \right )\cdot s_{2}^{2}}{n_{1}+n_{2}-2}}[/tex]

[tex]s_p =\sqrt{\dfrac{\left ( 513-1 \right )\cdot 2.9^{2} +\left ( 513-1 \right )\cdot 2.6^{2}}{513+513-2}} = \sqrt{7.585}[/tex]

The 95% confidence interval is given by the following formula;

[tex]\left (m_R- m_D \right )\pm t^* \cdot s_p \cdot\sqrt{\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}}}[/tex]

The test statistic, is given as follows;

[tex]t = \dfrac{m_R - m_D}{s_p \times\sqrt{ \dfrac{1}{n_1} + \dfrac{1}{n_2}} }[/tex]

Therefore;

[tex]t = \dfrac{54 - 41}{\sqrt{7.585} \times\sqrt{ \dfrac{1}{513} + \dfrac{1}{513}} } \approx 75.598[/tex]

Given that the test statistic, t = 75.598 > The critical-t, t* = 1.962, we reject the null hypothesis, therefore, there is significant statistical evidence to suggest that there is a difference in the mean stated by the two sets

[tex]s_p =\sqrt{\dfrac{\left ( 513-1 \right )\cdot 2.9^{2} +\left ( 513-1 \right )\cdot 2.6^{2}}{513+513-2}} = \sqrt{7.585}[/tex]

[tex]C. I. = \left (54- 41 \right )\pm 1.962 \times \sqrt{7.585} \times \sqrt{\dfrac{1}{513}+\dfrac{1}{513}}[/tex]

The 95% confidence interval, C.I. ≈ 12.66 ≤  [tex]m_R[/tex] - [tex]m_D[/tex] ≤ 13.34

Part B

From the 95% confidence interval, we are 95% confident that the true difference in the mean amount adult who consider themselves Republicans say politicians waste and the true difference in the mean amount adult who consider themselves Democrats say politicians waste is between 12.66 and 13.34

Given that there is no '0' in the range of values in the 95% confidence for the difference in mean from the two groups,  difference in the mean amount of waste per dollar observed by the two categories of adults.

Answer:

7x + 2y = 9

Step-by-step explanation:

standard form is always written as:

Ax + By = C

Step-by-step explanation:

[tex]x: 77 = 7 : 11 \\x = \frac{77 \times 7}{11} = \\ = 49[/tex]

From the given equivalent ratio the value of x is the number 49.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

The given equivalent ratios are x:77=7:11

"Two or more ratios that reflect the same relation or comparison of numbers are known as equivalent ratios," according to the definition of the equivalent ratio. The idea of corresponding fractions is comparable. The term "proportion" also refers to the equivalence of two ratios.

Here, x/77 = 7/11

Multiply both the numerator and denominator of the ratio 7/11 by 7, we get 49/77

Now, x/77 = 49/77

So, x=49

Therefore, the value of x is 49.

To learn more about the ratio visit:

brainly.com/question/13419413.

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