Compare the algebraically expressed function f(x) = 3x2 + 6x + 7 to the function shown in the graph to determine which statement is true.

Answer:

C. y = | x | – 13

Step-by-step explanation:

y = | x | – 13

Answer:

y = |x| -13

Step-by-step explanation:

recall for any function y = f(x), to translate the function vertically by any value "a", we simply have to add "a" to f(x).

If a is positive, then the graph is translated in the positive y-direction (i.e upwards), if a is negative, then the graph is translated in the negative y-direction (i.e downwards)

In our case , the graph is translated vertically by 13 units (i.e a = 13) and it is to be translated downwards (i.e negative)

hence we add a= -13 to the original function.

y = f(x) + (-13)

y = |x| + (-13)

y = |x| -13

Answer:

10

Step-by-step explanation:

Bxhwbdjnqbxkabxjb iqbdnannsmxns

This hypothesis test is two-tailed because no direction is specified in the claim made by the social worker.

A two-tailed test means that the alternative hypothesis is that the population parameter is different from the specified value (in this case, 15 children dropping out of high school each day). So, the null hypothesis would be that the population parameter is equal to 15, while the alternative hypothesis would be that it is either greater than or less than 15. Therefore, we need to conduct a two-tailed test to determine whether the social worker's claim is statistically significant. The correct answer to your question is: This is a two-tailed test because no direction is specified.

In this scenario, the social worker at the community development organization wants to test the claim that the average number of children who drop out of high school each day in a particular city is different than 15 children. The hypothesis test is two-tailed because there is no specified direction for the population parameter (whether it's greater than or less than 15 children). Instead, the test simply seeks to determine if the average number of dropouts is different from 15, which could be in either direction.

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Answer:

5x+1

Step-by-step explanation:

(4x+2)+(x - 1)

= 4x+2+x-1

= 4x+1+x

= 5x+1

Therefore, the probability that Team A wins the series given that they have already won the first game is 0.36 or 36%.

To calculate the probability that Team A wins the series given that they have already won the first game, we can consider the different possible scenarios for the remaining games. For Team A to win the series, they need to win at least one of the next two games. Let's analyze the possible outcomes:

Team A wins the second game and wins the series. Team A loses the second game but wins the third game and wins the series. The probability of Team A winning the second game is 0.2, and the probability of Team A winning the third game is also 0.2. Using these probabilities, we can calculate the probability of each scenario:

Scenario 1:

P(A wins second game and wins series) = P(A wins second game)

= 0.2

Scenario 2:

P(A loses second game but wins third game and wins series) = P(A loses second game) * P(A wins third game)

= (1 - 0.2) * 0.2

= 0.8 * 0.2

= 0.16

Now, we can add up the probabilities of both scenarios to find the overall probability that Team A wins the series:

P(A wins series | A wins first game) = P(A wins second game and wins series) + P(A loses second game but wins third game and wins series)

= 0.2 + 0.16

= 0.36

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The answer is , there were approximately 0.97 moles of the gas during the isothermal expansion.

we can determine the number of moles of the ideal gas by utilizing the formula for the change in entropy (∆S) during an isothermal expansion:
∆S = n * R * ln(V2/V1)
Here, n is the number of moles, R is the ideal gas constant (8.314 J/(mol·K)), V1 is the initial volume (15.5 L), and V2 is the final volume (21.4 L). We are given ∆S as 24.2 J/K. To find n, rearrange the formula:
n = ∆S / (R * ln(V2/V1))
Now, plug in the values:

n = 24.2 / (8.314 * ln(21.4/15.5))
Calculating this expression gives:
n ≈ 0.97 moles
So, there were approximately 0.97 moles of the gas during the isothermal expansion.

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Answer:

trapezium................

Answer:

AE

Step-by-step explanation:

Because it intersects with EJ.

Whereas skew lines are those that do not inersect and not parallel with each other.

Hope it helps :)

Answer: AE

Step-by-step explanation:

Answer:

C) 23

Step-by-step explanation:

If the computer monitor is 20 inches wide, and 12 inches high, we can solve for the diagonal by using the Pythagorean theorem.

Let a = the width, let b= the height, let c = the diagonal.

a^2 + b^2 = c^2

20^2 +12^2 =c^2

400 + 144 = c^2

544 = c^2

C is approximately equal to 23 inches.

Let me know if this helps!

Answer:

6 squares to right and 6 squares down

Step-by-step explanation:

Go with the coordinate (-1, 5) on shape A

Hope it helps :)

Move 6 squares to right and 6 squares down.

The initial coordinate that is the x value is -5 and the transformation figure has x value 5.

So move figure A 6 squares to the right . And then move 6 squares to the down we get the transformation figure B.

Therefore, by moving 6 squares to right and 6 squares to down we get the transformation figure B.

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Answer:

i think its C but I'm still not sure.

Answer: 5/8

Step-by-step explanation:

You could convert 1/4 to 2/8 because the numbers you're subtracting have a common factor of 2. After subtracting 2/8 from 7/8, you're left with 5/8.

Answer:

7/8 - 1/4 = 5/8

Step-by-step explanation:

The equation is 7/8 - 1/4 = ?

So you need to have a common denominator for both fractions in order to subtract the two.

In order to make 7/8 and 1/4 have a common denominator, multiply 1/4 by 2. Then it becomes 2/8.

Now you can subtract the two fractions because they both have a common denominator.

7/8 - 2/8 = 5/8

Answer:

Domain:

\( - 2 \leqslant x \leqslant 2\)

Range:

\( - 2 \leqslant y \leqslant 3\)

Step-by-step Explanation:

The domain is all the values of x that make the function true. These are the values shown on the x-axis. The range is all the values of y that make the function true. These are the values shown on the y-axis.

The value of angle ADO in the rectangle is 62°.

From the information, angle BOC = 56°

In a rectangle, there are two congruent diagonals.

Therefore DO = AO

angle ADO = angle DAO

angle DOA = 56° (vertical opposite angles)

sum of all three interior angles in a triangle = 180°

angle ADO + angle DAO + angle DOA = 180°

angle ADO + angle ADO + 56° = 180°

2angleADO = 180° - 56°

2angleADO = 124°

Divide

angle ADO = 124/2

angle ADO = 62°

Hence, the measure of angle ADO = 62°

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To determine whether the actual fit is an interference fit or a clearance fit, you need to measure the actual sizes of the shaft and hole and compare them to the tolerance limits specified by the H8 and p7 designations.

In a transition fit, such as φ50 H8/p7, the fit allows for both interference and clearance depending on the actual sizes of the shaft and hole.

To determine whether the actual fit formed by the actual shaft and hole is an interference fit or a clearance fit, we need to compare the actual sizes of the shaft and hole with the tolerance limits specified by the H8 and p7 designations.

In this case, the H8 tolerance for the hole indicates a basic hole size with a relatively tight tolerance, while the p7 tolerance for the shaft indicates a basic shaft size with a looser tolerance. The "φ50" specification specifies the nominal size of the fit as 50 mm.

If the actual shaft size falls within the upper limit of the p7 tolerance and the actual hole size falls within the lower limit of the H8 tolerance, the fit will be a clearance fit. This means that there will be a gap or clearance between the shaft and the hole, allowing for easy assembly and potential movement or play between the parts.

On the other hand, if the actual shaft size falls within the lower limit of the p7 tolerance and the actual hole size falls within the upper limit of the H8 tolerance, the fit will be an interference fit. This means that the shaft will be larger than the hole, resulting in a tight fit where the parts are pressed or forced together. This can create friction and require more force for assembly.

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Answer:

4r+8c = 27

Step-by-step explanation:

consider that 3 lbs will cost $27 at $9/lb

so, adding up the value of the raisins and cashews in a 3lb bag.

The value of k in the rational expression (5k - 2)/3k = 7 is - 2/17.

A mathematical statement expressed as a string of numbers and unknowable variables is known as a numerical expression. Statements can be used to create numerical expressions.

We also know that a fraction is written in the form of p/q, where q ≠ 0.

Given, A rational expression (5k - 2)/3k = 7.

Now, The denominator of the LHS will be multiplied to the numerator of RHS.

Therefore, 5k - 2 = 21k.

5k - 21k = 2.

- 17k = 2.

- k = 2/17.

k = - 2/17.

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The angle which has a measurement of its supplement that is three times the measurement of its complement is 45°

Supplementary angles are angles that add up to 180°, such that the sum of an angle and its supplement is 180°. Complementary angles are angles that have a sum of 90°, such that the addition of an angle and its complement is 90°

The given parameters are;

The measurement of the supplement of the angle = 3 × The measurement of the complement

Let x represent the angle, we have;

The supplement of the angle = 180° - x

The complement of the angle = 90° - x

Which gives the following equation;

180° - x = 3 × (90° - x) = 270° - 3·x

3·x - x = 270° - 180° = 90°

2·x = 90°

\(x = \dfrac{90^{\circ}}{2}= 45^{\circ}\)

x = 45°

The measurement of the angle is 45°

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Answer:

3

Step-by-step explanation:

I think why but i think

number but

The test score is 91.5.

z-score:

A z-score is the number of standard deviations from the mean value of the reference population.

Here we have to find the test score.

Mean(μ) = 90

Standard deviation(б) = 15

z-score = 0.1

Formula for z-score:

z = X - μ / б

Now putting the values in the equation:

0.1 = X - 90 / 15

1.5 = X - 90

X = 91.5

Therefore the test score is 91.5.

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Answer:

first one is simnple cross multiply and divide

12*7=4x

84=4x

x=21

2nd same process but more steps

7x=5(x+8)

7x=5x+40

7x-5x=40

2x=40

x=20

Step-by-step explanation:

Step-by-step explanation:

See the attached image.  I numbered angles differently so as not to make an assumption that angles numbered the same are congruent.

\(\overline{AB} \parallel \overline{CD}\\\angle1 \cong \angle3\) (alternate interior angles are congruent)

\(\overline{AD} \parallel \overline{BC}\\\angle 2 \cong \angle 4\) (alternate interior angles are congruent)

\(\overline{AB} \cong \overline{CD}\)  (opposite sides of a parallelogram are congruent)

\(\triangle{ABO \cong \triangle{CDO}\)  (ASA - side/angle/side)

\(\overline{AO} \cong \overline{CO}\\\overline{BO} \cong \overline{DO}\)  (corresponding parts of congruent triangles are congruent)

The diagonals bisect each other!

With a running time of 4.5 hours and speeds of 24 mph and 30 mph, respectively, the bus covered a one-way distance of 72 miles.

With a running time of 4.5 hours and speeds of 24 mph outgoing and 30 mph inbound, the bus covered a one-way distance of 72 miles.

As the outgoing and inbound timings were equal, the computation was performed by multiplying the outbound trip's speed by the entire running time, and then dividing the result by two. Therefore, 108 miles are equal to 24 mph times 4.5 hours. The one-way distance is equal to 72 miles when you divide this result in half. When both directions' speeds are known, this calculation can be used to determine the overall distance of a round trip.

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Answer:A cafe makes ten 8-ounce fruit smoothies. Each smoothie is made with 4 ounces of soy milk and 1.3 ounces of banana flavoring. the rest is blueberry juice. How much of each ingredient will be necessary to make the 10 smoothies?

Step-by-step explanation:

A cafe makes ten 8-ounce fruit smoothies. Each smoothie is made with 4 ounces of soy milk and 1.3 ounces of banana flavoring. the rest is blueberry juice. How much of each ingredient will be necessary to make the 10 smoothies?

Answer:

A cafe makes ten 8-ounce fruit smoothies. Each smoothie is made with 4 ounces of soy milk and 1.3 ounces of banana flavoring. the rest is blueberry juice. How much of each ingredient will be necessary to make the 10 smoothies?

Step-by-step explanation:

Answer:

55 pizzas in one hour

Step-by-step explanation:

440 divided by 8 is 55.

AB is equal to [ 2 -9 ] [ 1 -12 ].

BA is equal to [ 12 -11 ] [ 14 -7 ].

To find AB and BA, we need to multiply the matrices A and B.

To multiply two matrices, we need to ensure that the number of columns in the first matrix (A) is equal to the number of rows in the second matrix (B).

In this case, matrix A is a 2x2 matrix and matrix B is a 2x3 matrix. The number of columns in matrix A is 2, which is equal to the number of rows in matrix B.

To find AB, we multiply matrix A by matrix B using the following formula:

AB = [2 -1] [1 -2 5] * [1 -2 5] [0 5] [2 0 1]

To perform the multiplication, we multiply each element in the first row of matrix A by the corresponding element in the first column of matrix B and sum the products. Then, we repeat this process for each element in matrix A and matrix B.

Let's calculate AB step by step:

AB = [ (2*1) + (-1*0) , (2*-2) + (-1*5) ] [ (1*1) + (-2*0) , (1*-2) + (-2*5) ]

AB = [ 2 + 0 , -4 - 5 ] [ 1 + 0 , -2 - 10 ]

AB = [ 2 , -9 ] [ 1 , -12 ]

Therefore, AB is equal to [ 2 -9 ] [ 1 -12 ].

To find BA, we multiply matrix B by matrix A using the same formula:

BA = [1 -2 5] [2 -1] * [0 5] [2 0 1]

Let's calculate BA step by step:

BA = [ (1*2) + (-2*0) + (5*2) , (1*-1) + (-2*5) + (5*0) ] [ (2*2) + (-1*0) + (5*2) , (2*-1) + (-1*5) + (5*0) ]

BA = [ 2 + 0 + 10 , -1 - 10 + 0 ] [ 4 + 0 + 10 , -2 - 5 + 0 ]

BA = [ 12 , -11 ] [ 14 , -7 ]

Therefore, BA is equal to [ 12 -11 ] [ 14 -7 ].

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Answer:

LCM(144,90)=\(2^{4} *9*5=16*5*9=80*9=720\)

GCD(144,90)=2*\(3^{2}\)=18

Step-by-step explanation:

144=\(2^{4} *3^{2}\)

90=\(2*3^{2} *5\)

Answer:

x= -1/4

Step-by-step explanation:

The value of x is -1/4 in the given equation 1=4x+2.

Two or more expressions with an Equal sign is called as Equation.

The given equation is 1=4x+2

One equal to four times of x plus two

In the given equation x is the variable and plus is the operator.

1=4x+2

Subtract 2 from both sides to isolate the x term

1-2=4x

-1=4x

Divide both sides by 4

x=-1/4

Hence, the value of x is -1/4 in the given equation 1=4x+2.

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