Part of the graph of the function f(x) = (x + 4)(x-6) is
shown below.
Which statements about the function are true? Select two
options.
The vertex of the function is at (1,-25).
The vertex of the function is at (1.-24).
AO
The graph is increasing only on the interval -4< x < 6
The graph is positive only on one interval, where x <
4.
6
-
The graph is negative on the entire interval
4

Answer:

5040

Step-by-step explanation:

When a number is in the Parenthesis that means you multiply. First you do 42*3 The answer would be 126. Since there is another Multiplication sign you just plug in your quotient (answer) into the problem. Now the equation is 126*40. 126*40=5040

Answer:

4^6

Step-by-step explanation:

Answer:

20 cans of tuna.

Step-by-step explanation:

4 x 15 = 60

3 x ? = 60

3 x 20 = 60

Answer:

5,46 inches per months

Step-by-step explanation:

1 year = 12 months

The average precipitation per month is :

65,52 inches ÷ 12 = 5,46 inches per months

HOPE THIS HELPED ;3

The predicted amount of precipitation received between the end of March and the end of June is 0 inches.

To predict the amount of precipitation received between the end of March and the end of June, we need to find the difference in total precipitation between those two months. According to the given information, the total precipitation in inches for each month is as follows:

March: 4 inches

April: 2 inches

May: 0 inches

June: 4 inches

To find the amount of precipitation received between the end of March and the end of June, we can subtract the total precipitation at the end of March from the total precipitation at the end of June:

Total precipitation at the end of June - Total precipitation at the end of March = 4 inches - 4 inches = 0 inches

Therefore, the predicted amount of precipitation received between the end of March and the end of June is 0 inches.

Answer:

[tex]ec = \frac{6 \times 5}{4} = 7.5 [/tex]

Answer:

[tex]c=11.8\ units[/tex]

Step-by-step explanation:

we know that

The formula of law of cosines is equal to

[tex]c^2=a^2+b^2-2(a)(b)cos(C)[/tex]

where

a, b and c are sides. C is the angle opposite side c

In this problem we have

[tex]a=3\ units\\b=10\ units[/tex]

[tex]C=120^o[/tex]

substitute the given values

[tex]c^2=3^2+10^2-2(3)(10)cos(120^o)[/tex]

[tex]c^2=109-(60)cos(120^o)[/tex]

[tex]c^2=109-(60)(-0.5))[/tex]

[tex]c^2=109+30[/tex]

[tex]c^2=139[/tex]

[tex]c=11.8\ units[/tex]

The perimeter of a square is calculated by multiplying the length of one side by 4.

The perimeter of a square is the sum of all four sides. Since a square has equal sides, you can find the perimeter by multiplying the length of one side by 4. The formula for the perimeter of a square is P=4s, where P is the perimeter and s is the length of one side.

For example, if the length of one side is 5 units, the perimeter would be 4 * 5 = 20 units. If the length of one side is 8 centimeters, the perimeter would be 4 * 8 = 32 centimeters.

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To calculate Alia's hourly wage, you divide the total amount she earned ($585.60) by the total number of hours she worked (18.3 hours), which results in approximately $32 per hour. This question is related to the subject of Mathematics, specifically rates and ratios.

The subject of this question is Mathematics, specifically the sub-topic of rates and ratios, which includes calculating earnings per hour.

To calculate Alia's earnings per hour, we need to divide her total earnings by the number of hours she worked. Here's a step-by-step explanation:

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Answer:

1 point

Step-by-step explanation:

The number of games in the tournament is:

₄C₂ = 6

Another way to look at it: Team 1 plays 3 games against Team 2, 3, and 4.  Then, Team 2 plays 2 games against Team 3 and 4 (Team 2 already played Team 1).  Finally, Team 3 plays a game against Team 4.  So the total is 3 + 2 + 1 = 6.

If there's a total of 6 games, then there's a total of 6 points.  So if x is the number of points Team 4 has:

x + 1 + 3 + 1 = 6

x + 5 = 6

x = 1

Team 4 has 1 point.

Answer: OPTION D.

Step-by-step explanation:

For this exercise it is important to remember that:

1.  Direct proportion equations have the following form:

[tex]y=kx[/tex]

Where "k" is the constant of proportionality.

2. The graph of Direct proportions is an straight line that passes through the origin.

Observe the picture attached.

If you join the points G, C and A, you get a straight line that passes through the origin,

If you join the points F, G and H, you also get a straight line that passes through the origin,

Therefore, the sets of points show "x" in Direct proportion to "y", are:

[tex]\{F, G, H\}[/tex] and   [tex]\{{G, C, A}\}[/tex]

Answer:D){F, G, H} and {G, C, A} only

Step-by-step explanation:

1. non-random and biased.

2. random and unbiased.

Answer:

Option B [tex]\frac{Kg*m^2}{s^2}[/tex]

Step-by-step explanation:

we know that

The formula to calculate the work is equal to

[tex]W=Fd[/tex]

where

W represents work

F represents force

d represents distance

The units are

[tex]F=(\frac{Kg*m}{s^2})[/tex] ---> Newtons

[tex]d=m[/tex] ---> meters

substitute the units in the formula

Remember that when multiply exponents with the same base, adds the exponents and maintain the same base

[tex](m)(m)=m^{1+1}=m^2[/tex]

so

[tex]W=(\frac{Kg*m}{s^2})(m)=(\frac{Kg*m^2}{s^2})[/tex]

Answer:

B

Step-by-step explanation:

Answer:

  110

Step-by-step explanation:

You want the remainder from the division ...

  [tex]\dfrac{4x^3+2x^2-18x+38}{x-3}[/tex]

The remainder theorem tells you the remainder of ...

  f(x)/(x -a)

is f(a).

We can compute f(a) directly, or we can do it using synthetic division. The attachment shows the synthetic division approach.

If we want to evaluate f(x), it is convenient to write it in Horner Form:

  f(x) = 4x³ +2x² -18x +38 = ((4x +2)x -18)x +38

Then, for x = 3, this is ...

  ((4·3 +2)·3 -18)·3 +38 = (14·3 -18)·3 +38 = 24·3 +38 = 110

The remainder from the division is 110.

Answer - 8+(-5)= -13

Step-by-step explanation:

Answer: x = 21

Step-by-step explanation:

look at the picture

(24 + 2y) + (7y)

(24 +  8) + 28

32 + 28

60

Answer:

60

Step-by-step explanation:

(24 + 2y) + (7y)

(24 + 2 x 4) + (7 x 4)

(24 + 8) + (28)

32 + 28 = 60

Answer:

Option 3

Step-by-step explanation:

we know that

The solution show in the graph represent the interval [4,∞)

All real numbers greater than or equal to 4

In a number line the solution is the shaded area at right of x=4 (closed circle)

The number 4 is included in the solution set

therefore

Option 3

The factored form of given expression is:

[tex]16x^2(x-3)(x+3)[/tex]

Step-by-step explanation:

The identity that can be used to factorize the given expression is:

[tex]a^2-b^2 = (a+b)(a-b)[/tex]

Given

[tex]16x^4-144x^2[/tex]

As 16 is a factor of both terms

[tex]=16x^2(x^2-9)[/tex]

Using the identity

[tex]=16x^2[(x)^2-(3)^2]\\=16x^2[(x-3)(x+3)][/tex]

Hence,

The factored form of given expression is:

[tex]16x^2(x-3)(x+3)[/tex]

Keywords: Factorization, polynomials

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Answer:

The value of x is 4, 3rd point.

Step-by-step explanation:

Move all the variables to one side & move unknown value to the other side :

4x - 3 = 2x + 5

4x - 2x = 5 + 3

2x = 8

Then solve it :

2x = 8

x = 8/2

x= 4

Answer:

C. x = 4

Step-by-step explanation:

4x - 3 = 2x + 5

4x - 2x - 3 = 2x - 2x + 5

2x - 3 = 5

2x - 3 + 3 = 5 + 3

2x = 8

(1/2) 2x = 8 (1/2)

x = 4

The residual is 1.5

Step-by-step explanation:

Given the regression line equation as : y=1.2x +3.5

The formula for residual = Observed y-value - Predicted y-value

This gives the vertical distance from the actual plotted point to the point on the regression line. You should find how far the data fall from the regression line.

In this case, at y=5, from the graph, to get the vertical distance, perform subtraction as;

5.0 - 3.5 = 1.5

Learn More

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Keywords : residual, regression line, modeled, data

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Answer:

The number of years in which saving gets double is 8 years .

Step-by-step explanation:

Given as :

The principal amount saved into the account = p = $8,000

The rate of interest applied = r = 9%

The Amount gets double in n years = $A  

Or, $A = 2 × p = $8,000 × 2 = $16,000

Let the number of years in which saving gets double = n years

Now, From Compound Interest method

Amount = Principal × [tex](1+\dfrac{\textrm rate}{100})^{\textrm time}[/tex]

Or, 2 × p = p × [tex](1+\dfrac{\textrm r}{100})^{\textrm n}[/tex]

Or, $16,000 = $8,000 × [tex](1+\dfrac{\textrm 9}{100})^{\textrm n}[/tex]

Or, [tex]\dfrac{16,000}{8,000}[/tex] = [tex](1.09)^{n}[/tex]

Or, 2 = [tex](1.09)^{n}[/tex]

Now, Taking Log both side

[tex]Log_{10}[/tex]2 = [tex]Log_{10}[/tex] [tex](1.09)^{n}[/tex]

Or, 0.3010 = n × [tex]Log_{10}[/tex]1.09

Or, 0.3010 = n × 0.0374

∴ n = [tex]\dfrac{0.3010}{0.0374}[/tex]

I.e n = 8.04 ≈ 8

So, The number of years = n = 8

Hence, The number of years in which saving gets double is 8 years . Answer

Answer:

Millileters

Step-by-step explanation:

If it held 400 liters, it would be a pretty gigantic cup

Answer:

400 millieters

Step-by-step explanation:

because a cup is measured in milliters

Answer:  THE ANSWER IS B (Sine ONLY)

Step-by-step explanation:i just did it on USAtestprep

The domain of the function f(x) = (2/5) * sqrt(x) is all real numbers x ≥ 0, or in interval notation, [0, ∞). This is because square roots are only defined for non-negative real numbers.

The domain of a function refers to all possible values that can be input into the function, usually represented by 'x'. For the given function f(x) =  \frac{2}{5} \sqrt{x}, we need to determine the set of x-values for which the function is defined. Since we cannot take the square root of a negative number in the set of real numbers, the smallest value for 'x' must be 0. Thus, the domain of the function f(x) = \frac{2}{5} \sqrt{x} includes all real numbers greater than or equal to 0.

This is written mathematically as “x ≥ 0” or in interval notation as [0, ∞). It's important to note that, for real numbers, square roots are only defined for non-negative values, which is why the domain starts at 0 and continues to positive infinity.

Using the cross product property on this proportion gives us the following equation:

6 (3x + 3) = 7 (x + 16)

Use the distributive property

18x + 18 = 7x + 112

Subtract both sides by 7x

11x + 18 = 112

Subtract both sides by 18

11x = 94

Divide both sides by 11

x = 94/11

This fraction is already fully simplified and cannot be simplified further. This should be your answer.

Let me know if you need any clarifications, thanks!

Answer:

Step-by-step explanation:

6(3x+3) = 7(x+16)

18x+18=7x+112

-7 on both sides

11x+18=112

-18 on both sides

11x/11 = 94/11

x=8.5

Check the picture below.

Answer:C

Step-by-step explanation: fixed cost = 10.47+4.25

Variable cost =1.35m

Total cost= 10.47+4.25+1.35m<=30

Answer:

Option C 10.47 +4.25 + 1.35m 2 30

Step-by-step explanation:

Data:

DoorDash charges a fee of =  $4.25

Fee per mile = $ 1.35

Cost of a meal = $ 10.47

The maximum number of miles is given by:

10.47 + 4.25  + 4.25 < 30

Therefore, option C is correct.

Answer:

We know that

P(X) = Dividor × Quotient

So dividor = x-1

Quotient = x2 + 7 + 5/x-1

So,

P(x) = x3 - x2 + 7x -2

Step-by-step explanation:

Taking LCM of quotient we will get

(x3 - x2 + 7x - 2)/(x-1)

Now by multiplying the above equation with x-1,

Only thing remaining will be

x3 - x2 + 7x - 2

This is P(x).

The polynomial p(x) in standard form, when given the quotient formed from dividing p(x) by (x - 1), is x^3 - x^2 + 7x - 2.

The function p(x) can be expressed in standard form by multiplying divisor (x - 1) by the quotient, (x^2 + 7 + 5/(x - 1)) according to polynomial division rules. To get p(x), you multiply the quotient by the divisor and add the remainder. However, since there is no remainder mentioned, we assume it's zero and ignore it.

Therefore, p(x) is (x - 1)(x^2 + 7 + 5/(x - 1)). To simplify further, distribute (x - 1) across each term in the parenthesis:

So, the polynomial p(x) is x^3 - x^2 + 7x - 7 + 5 or, simplified further, x^3 - x^2 + 7x - 2.

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Answer:

[tex]p =\{\text{all even numbers that are less than or equal to 20}\}\\\\p=\{n|n=2k\ \wedge\ n\leq20\ \wedge\ k\in\mathbb{N}\}=\{0,\ 2,\ 4,\ 6,\ 8,\ 10,\ 12,\ 14,\ 16,\ 18,\ 20\}[/tex]

Answer:

[tex]a_{87} = -1020[/tex]

Step-by-step explanation:

Given:

The given AP is.

12,0,-12,......

[tex]n=87[/tex]

The first term of an AP [tex]a=12[/tex]

Common difference [tex]d=0-12=-12[/tex]

We use the the formula for nth term of an AP.

[tex]a_{n} = a+(n-1)d[/tex]

for 87th term

[tex]a_{87} = 12+(87-1)(-12)[/tex]

[tex]a_{87} = 12+(86)(-12)[/tex]

[tex]a_{87} = 12+(-1032)[/tex]

[tex]a_{87} = 12-1032[/tex]

[tex]a_{87} = -1020[/tex]

Therefore, The 87th term of given series is -1020.