which equation represents the line passing through the points (3, 2) and (-9, 6)?​

Answer:

C

Step-by-step explanation:

[tex]f'(x)=g(x) * (x^2-4)\\0=g(x)*(x^2-4)\\x={-2,2}\\f(-4) = -\\f(-2) = 0 \\f(0) = +\\f(2) = 0 \\f(4)= -\\\\[/tex]

It decreases from negative infinity to -2, then increases, so x=-2 is a rel. min.

It increases from x=-2 to x=2, then decreases to infinity, so x=2 is a rel. max.

Answer:

D. 3(x+2) can be rewritten as 3x + 6 using the distributive property

Step-by-step explanation:

Given

[tex]3(x + 2) = 3x + 6[/tex]

Required

Explain

From the list of given options, option D answers the question.

This is because, the expression above involves distributive property and only option D correctly states that.

A distributive property is:

[tex]a*(b + c) = a*b + a * c[/tex]

In this case:

[tex]a = 3[/tex]  [tex]b = x[/tex]   and [tex]c = 2[/tex]

So:

[tex]a*(b + c) = a*b + a * c[/tex]

Substitute values for a, b and c

[tex]3*(x + 2) = 3 * x + 3 * 2[/tex]

[tex]3(x + 2) = 3x + 6[/tex]

Answer:

C. Both expressions involve addition.

Step-by-step explanation:

I tried it, and it was correct

Answer:

The answer is 91/12 in exact form or 7 7/12 in mixed number form.

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Answer:

The car dealer must sell 105 cars in May to reach his goal.

Step-by-step explanation:

Given that the car dealer sold 84 cars in April, and wants to increase his May sales by 25%, to determine the number of cars he must sell to reach his goal it is necessary to perform the following calculation:

84 + (84 x 0.25) = X

84 + 21 = X

105 = X

Therefore, the car dealer must sell 105 cars in May to reach his goal.

Answer:

2 ninths, or 2/9

Step-by-step explanation:

Multiply -2/3 by -1/3 to get the answer

Answer: f=2/9

you have to multiply 2/-3 and -3/2f

Trust me it will work

you wrote ehte question wrong

Answer:

400 liters of orange punch and 100 liters of mango punch are required to create a mixture with 40% juice.

Step-by-step explanation:

Given that the orange punch has 45% juice and the mango punch has 20% juice, if you want to create a mixture of 500 liters of fruit punch that has 40% juice, to determine the percentage of punch of each fruit to be used, the following calculation must be performed:

45 x 1 + 20 x 0 = 45

45 x 0.9 + 20 x 0.1 = 42.5

45 x 0.8 + 20 x 0.2 = 40

Therefore, it takes 80% orange punch and 20% mango punch to create a mixture with 40% juice. Thus, since 500 x 0.8 equals 400, 400 liters of orange punch and 100 liters of mango punch are required to create a mixture with 40% juice.

Answer:

$9.76

Step-by-step explanation:

20% is 1/5 of the bill. The answer is 48.53 +( 48.53*1/5) which is 9.76 so the $9.76

Plz mark brainliest if correct!

Hope this helps

Answer:

Step-by-step explanation: well you can just plug it into a calculator.

the answer is 9.706 or 9.7 if you simplify it  and if you are rounding to the nearest tenth then its 10.

hope this helps!

Answer:

40 questions

Step-by-step explanation:

38=.95x where x is the total tests

38/.95 = x

40 = x

Answer:

Step-by-step explanation:

The set up will give a right angled triangle

Given

Distance of point A from the flagpole = 25feet

If angle of elevation is 30°

Required

Height of flagpole (opposite)

Using TOA

tan theta = opp/adj

tan30° = opp/25

opp = 25tan30°

opp = 14.4feet

Hence the height of flagpole when the angle of elevation is 30° is 14.4feet

If angle of elevation is 38°

Required

Height of flagpole (opposite)

Using TOA

tan theta = opp/adj

tan38° = opp/25

opp = 25tan38°

opp = 19.53feet

Hence the height of flagpole when the angle of elevation is 38° is 19.5feet

If angle of elevation is 45°

Required

Height of flagpole (opposite)

Using TOA

tan theta = opp/adj

tan45° = opp/25

opp = 25tan45°

opp = 25feet

Hence the height of flagpole when the angle of elevation is 45° is 25feet

Answer:

6, 12, 18, 24, 30, 36. 42, 46, 52, 58, 64,

7, 14, 21, 29, 36

Your answer is 36.

Step-by-step explanation:

LCM means the multiple which the two numbers share with the least value. So, I just found the multiples of each number until I found the one which was common. If you would like me to explain this in more depth, tell me! I'd be glad to help.

Answer:

i believe its c

Step-by-step explanation:

Answer:

y-intercept: [tex]y=0[/tex]

axis of symmetry: [tex]x=0[/tex]

vertex: [tex](0,0)[/tex]

Step-by-step explanation:

To find the y-intercept, set x = 0 and solve for y.

I am assuming f(x) = y

[tex]y=4x^2[/tex]

[tex]y=4(0)^2[/tex]

[tex]y=0[/tex]

The y-intercept of the equation is y = 0.

Now, for the axis of symmetry, you need the equation [tex]x=\frac{-b}{2a}[/tex]

In an equation.. [tex]y=ax^2+bx+c[/tex]

In this case, there is only an a, so plug in the values into the equation.

[tex]x=\frac{0}{2(4)}[/tex]

[tex]x=0[/tex]

The axis of symmetry is x = 0.

To find the vertex, change the format of the equation from standard form to vertex form.

Vertex form: [tex]y=a(x-h)^2+k[/tex]

The vertex is [tex](h,k)[/tex]

[tex]y=4x^2 = 4(x+0)^2+0[/tex]

[tex](h,k)=(0,0)[/tex]

The vertex in this case is (0,0).

Graphing makes things a lot easier. If you can graph it, all you have to do is look at the graph and the answers are all there!

Hope this helped you!

Answer:

Step-by-step explanation:

THE MIDDLE ONE

Answer:

first answer is 9.84

Step-by-step explanation:

9.84 is the square root of 97, rounded to the nearest hundredth.

the legs measure 9 x 9 and 4 x 4 = 81 and 16.

81 + 16 = 97, so your answer is the square root of 27, which rounded to the nearest hundredth, equals 9.84. Rounding towards the nearest whole, 10 would be your best bet.

hope this helps!!

Answer: no

Step-by-step explanation:

117% equals 1.17 and 50/33 equals 1.51 repeating so they aren’t equal.

Answer:

The answer is y = -1/3x + 5 !

Step-by-step explanation:

If you observe the line, the y-intercept is 5, from the point in the graph (0,5). From that point, we can see that the rise over run is -1/3. Thus, y = -1/3x + 5.

Answer:

yes

Step-by-step explanation:

5 times 3 is 15 and 12 and 15 and 12 divided  by  3 you will get 5/4

Answer:

B. 5 + 7i

General Formulas and Concepts:

Pre-Algebra

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define expression

(8 + 9i) + (5 - 9i) - (8 - 7i)

Step 2: Simplify

Answer:

yes

no

no

Step-by-step explanation:

Answer:

tan(arrcos( -√2 /2)) = -1

(result in radians)

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

I think it’s 10:)

Step-by-step explanation:

Answer:

the last one is 128.9

Answer:

[tex]A^{-1} = \frac{1}{66} \left[\begin{array}{cc}-2&-5\\6&-18\end{array}\right][/tex]

Step-by-step explanation:

Given

[tex]A = \left[\begin{array}{cc}-18&5\\-6&-2\end{array}\right][/tex]

Required

Determine the inverse

A matric is of the form:

[tex]A = \left[\begin{array}{cc}a&b\\c&d\end{array}\right][/tex]

First, we need to calculate the determinant (D)

[tex]D = a * d - b * c[/tex]

By comparison, we have:

[tex]D = (-18 * -2) - (5 * -6)[/tex]

[tex]D = (36) - (-30)[/tex]

[tex]D = 36 +30[/tex]

[tex]D = 66[/tex]

The inverse is then represented as:

[tex]A^{-1} = \frac{1}{D} \left[\begin{array}{cc}d&-b\\-c&a\end{array}\right][/tex]

This gives:

[tex]A^{-1} = \frac{1}{66} \left[\begin{array}{cc}-2&-5\\6&-18\end{array}\right][/tex]

Answer:

8

Step-by-step explanation:

10 - 2 = 8

But then again it could be 10 because technically she still has the other two, it's just that they're in her stomach :)

Answer:

12 pounds

Step-by-step explanation:

Please give me thanks

When you give me thanks

Have a good day :)

The weight of the baby at birth is 8 pounds.

Given,

The weight, in pounds, of a newborn baby tt months after birth, can be modeled by W.

The table below has select values showing the linear relationship between

t and W.

We need to determine the weight of the baby at birth.

The table is given as:

1         10

4.5     17

9        26

The table has two columns and it always has a relationship between them depending on the question.

Example:

Miles.        Hours

2.               3

6.               9

8.               12

Here we see that every 1-5 hours there's a mile increase.

We have,

W = weight of the baby

t = number of months.

From the table:

The baby weight-

At 1 month = 10

At 4.5 months = 17

At 9 months = 26

We see that,

In,

(4.5 - 1) = 3.5 months there is an increase of (17 - 10) = 7 pounds.

So we can write it as:

3.5 months = 7 pounds

1 month = 7/3.5

1 month = 70/35 = 10/5 = 2 pounds

This means in after every month there is an increase of 2 pounds.

We have,

1In the first month, the weight of the baby is 10 pounds.

And every month there is an increase of 2 pounds.

So,

The weight of the baby at birth is:

= 10 - 2

= 8 pounds

Thus the weight of the baby at birth is 8 pounds.

Learn more about finding relationships in a given table here:

https://brainly.com/question/28350476

#SPJ2

Answer: b. Yes

Step-by-step explanation: Confidence Interval for a population proportion is calculated as:

p ± [tex]z\sqrt{\frac{p(1-p)}{n} }[/tex]

where

p is the sample proportion

n is sample size

z is z-score, in this case, as it is 95%, z-score=1.96

Calculating confidence interval:

[tex]p=\frac{152}{468}[/tex]

p = 0.3248

0.3248 ± [tex]1.96\sqrt{\frac{0.3248(0.6752)}{468} }[/tex]

0.3248 ± [tex]1.96\sqrt{0.000468}[/tex]

0.3248 ± 0.0425

Interval: 0.2823 < μ < 0.3673

The interval means we are 95% sure the true mean is between 0.2823 and 0.3673. As the campaign claims a proportion of no more than 0.32 of the voters wants to see Mayor Waffleskate defeated and the number is in the confidence interval, the claim is supported.

Answer:

$5487.38

Step-by-step explanation:

Given that:

Interest currently made = $2112.64

Time = 7 years

Rate of interest = 5.5% annual

To find:

The price for which the bond was originally bought ?

Solution:

We need to find nothing but the principal amount.

First of all, let us have a look at the formula for Simple Interest.

[tex]Simple\ Interest = \dfrac{PRT}{100}[/tex]

Where [tex]P[/tex] is the principal amount

[tex]R[/tex] is the Rate of Interest

[tex]T[/tex] is the time for which the investment is made

Let us put the given values in the formula:

[tex]2112.64 = \dfrac{P\times 5.5\times 7}{100}\\\Rightarrow P =\dfrac{2112.64\times 100}{5.5\times 7}\\\Rightarrow P =\dfrac{211264}{38.5} \\\Rightarrow \bold{P =\$5487.38}[/tex]