y=3(x-4)^2 +7 in standard form

Answer:

n = 1

Step-by-step explanation:

-12 = -6(-8n + 6) + 8(-4 + n)

multiply our right side:

-12 = 48n - 36 -32 + 8n

combine n terms on right side:

-12 = 56n - 36 -32

combine numbers on right side:

-12 = 56n - 68

add 68 to both sides:

-12 + 68 = 56n - 68 + 68

56 = 56n

divide both sides by 56:

56/56 = 56n/56

n = 1

check:

-12 = -6(-8(1) + 6) + 8(-4 + (1))

-12 = -6(-8 + 6) + 8(-3)

-12 = -6(-2) + 8(-3)

-12 = 12 - 24

-12 = -12

Answer:

n=1

It's the answer I would tell u step by step but I can't cuase it will be kinda confusing

The value of k in the expression is equal to 9.

The expression is in the form of Cubic polynomial. A cubic polynomial is the one which can be written in the form y = ax³ + bx² + cx + d where a, b, c and d are coefficients and x, and y are independent and dependent variables respectively. The cubic polynomial f(x) = 2x³ + (k)x - 11 has a factor equal to (x-1). If it is the factor, then x = 1 is the solution of cubic polynomial and at x = 1 the value of f(x) = 0.

2(1)³ + k(1) - 11 = 0

2 + k - 11 = 0

k - 9 = 0

=> k = 9 which is the required value.

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Answer:

u = 0

Step-by-step explanation:

7(U + 4) = 28  Distribute the 7

7u + 28 = 28    Subtract 28 from both sides

7u = 0  Divide both sides by 7

u = 0

Answer:

7(u - 4) = 28

7u - 28 = 28

+28 +28

7u = 56

÷7 ÷7

u = 8

Answer: The answer for X' is -1,8, and the answer for X'' is 3,14

Step-by-step explanation:

When talking about reflections across the x-axis, the formula would be: (x,y)---> (x, -y) so you first start out with -1, -8 then translate it to -1,8, because you swap the y. Then you add 4 to -1 because you move 4 to the right which gives you 3, and then you add 6 to 8 because you move up 6, which gives you 14, so your final answer is 3,14

Answer:

There's no real solutions

Step-by-step explanation:

8x - 3 > 2(4x + 1 ) multiply inside the parenthesis with 2

8x - 3 > 8x + 2 transfer like terms to the same side of the inequation

8x - 8x > 3 + 2

0 > 5 this is not correct so we say there's no real solution to this inequation

Hello!

To solve for f(-9)

  ==> must simply plug in '-9' into the x's position

       ==>  [tex]f(-9) = 1(-9)-8=-9-8=-17[/tex]

Hope that helps!

Answer:

[tex]a_{n}[/tex] = 3n + 4

Step-by-step explanation:

there is a common difference between consecutive terms , that is

10 - 7 = 13 - 10 = 16 - 13 = 19 - 16 = 3

this indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 7 and d = 3 , then

[tex]a_{n}[/tex] = 7 + 3(n - 1) = 7 + 3n - 3 = 3n + 4

The volume of the hemisphere is found as 695.55 cm³.

The formula for finding the volume of the hemisphere is;

V = (4/3)πr³

where, π = 3.14

r = radius

For the given question, the diameter of the hemisphere is 11 cm.

Radius = 11/2 = 5.5 cm.

Put the value in formula.

V = (4/3)×3.14×5.5³

V = 695.55

Thus, the volume of the hemisphere is found as 695.55 cm³.

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Answer:

Step-by-step explanation:

Your first two photos are correct.

For your third photo, move your second dot one more to the right as you accidentally put 1.7 instead of 1.8.

For the first dot of -8/5 you should move it 8 more to the left. This is because:

-8/5 = -1 3/5 = -1.6

For your fourth photo

9/2 = 4 1/2 = 4.5

-7/2 = -3 1/2 = -3.5

For your fifth photo

-5 2/3 ≈ -5.66

5 1/3 ≈ 5.33

You have the following function:

In order to calculate

Consider that f(x + h) is given by:

Then, by replacing f(x) and f(x+h) into the difference quotient and by simplifying, you get:

Hence, the result to the quotient difference is 2x + h

Las medidas de los lados desconocidos de las tres figuras son listadas abajo:

A) AC = 3

B) AC = 13

C) AB = 17

En este problema tenemos que dos casos de triángulos rectángulos y un caso de rectángulo. Por geometría euclídea, un rectángulo se forma uniendo dos triángulos rectángulos de iguales medidas. Las medidas de los lados faltantes se determina con el teorema de Pitágoras:

Caso A - Triángulo rectángulo

AC = √(BC² - AB²)

AC = √(5² - 3²)

AC = √(25 - 16)

AC = √9

AC = 3

Caso B - Rectángulo

AB = DC

AC = √(AD² + DC²)

AC = √(AD² + AB²)

AC = √(5² + 12²)

AC = 13

Caso C - Triángulo rectángulo

AB = √(AC² + BC²)

AB = √(8² + 15²)

AB = 17

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Answer:

78

Step-by-step explanation:

2n + 1 = 157

2n = 157 - 1

2n = 156

n = 156 ÷ 2

n = 78

Answer:

420 miles

Step-by-step explanation:

We are given that Cole drove a distance at a speed of 70 miles/hour. We are also shown that the driving time was 6 hours.

We are asked to find how many miles Cole drove.

Realize that since the speed is constant, it can be multiplied by the driving time to find the mileage.

Therefore, multiply the speed limit by the driving time:

[tex]\text{70 miles/hour} \times \text{6 hours} = \text{420 miles}[/tex]

Therefore, Cole drove 420 miles.

Answer:

420 miles

Step-by-step explanation:

Is known:

70 miles / hour

Question:

how many miles will it cover in 6 hours?

70mil/jam × 6 hour

= 420 miles

StudyForEducation.

Answer:

Where is the question?

Step-by-step explanation:

Answer:

9 groups of 3 equal 27

Step-by-step explanation:

Fill in the missing number.

9 groups of 3 equal 27

because 9 × 3 = 27

The rate of change is (-1)

To solve this, we need to look at graphic to know the values of the function f(x) when x is equal to 1 and 3.

Then we have two points of the graph: (1,6) and (3,4).

The rate of change between two points is:

In this case,

Note that its the same whatever coordinate put first:

But when you do the difference between the coordinates, make sure to respect the order: if you use the y coordinate of the point P minus the y coordinate of point Q, you must to do the same for the x coodinate; Px-Qx

Explanation:

The x coordinates are the same, so we subtract the y coordinates and use absolute value to ensure the result isn't negative.

|-30.5 - 9.7| = |-40.2| = 40.2

One unit represents 1 km, so 40.2 units represent 40.2 km

This converts to 40,200 meters. Multiply by 1000 to go from km to meters.

The net pay of  Alisha Gregory  is $30606.4

Since we are given the weekly gross  pay of her  is $640

The annual gross pay will  be  52 *  640 =33280.

Here the local income tax is  1.5% of the gross, which is  1.5/100 * 33280  = 499.2 and  it is also specifically said that the state tax is the 3.0% of taxable income.

So we have:

3/100 * 33280= 998.4

The medical insurance is $1,940 for a year from where the company  pays 60 %

For which we have:

60/100 *1940

= 1164

At the last he pays  $4.50  for union dues and $7.50 for others.

Since we know that the net pay is nothing but the amount we get after subtracting the deductions from the annual gross pay

So the net pay = 33280- (499.2+998.4+1164+4.50+7.50)

                         =  33280  -(2673.6)

                         =  30606.4

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Answer:

x = 104

y = 74

Step-by-step explanation:

According to the figure, the quadrilateral has two pairs of parallel, opposite sides. That makes the quadrilateral a parallelogram.

In a parallelogram, opposite sides are congruent and opposite angles are congruent.

Because of congruent sides:

x - 7 = 97

x = 104

Because of congruent angles:

y = 74

Stephen's necklace, to start can accommodate 12 macaroni noodles and 23 rotelle pieces.

Necklace of Stephen can have 35 rotelle pieces.

Stephen's pendant can have 10 pieces of rotelle and 5 macaroni noodles.

explanation:

-

Option A is accurate because 35 pieces of pasta—the maximum permitted per necklace—are obtained by adding 12 macaroni noodles to 23 pieces of rotelle.

Option B is incorrect because the sum of the allowed 35 pasta pieces plus the 15 macaroni noodles and 21 rotelle pieces equals 36 pasta pieces.

Option C is accurate because 35 pieces of Rotelle do not exceed the upper limit.

Despite the fact that they still add up to the maximum allowed, Option D is false since a string

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The conclusion which is correct among the answer choices as given in the task content is; The ordered pair (17, 3) is viable.

It follows from the task content that the conclusion which is valid be identified among the answer choices.

Since it is given that; there is a relationship between the number of visit and hole-in-one winners.

The statement above indicates that the number of visitors must be greater than the number of winners. This follows from the fact that there is no winner if there are no visitors.

Hence, since x is the number of visitors and y is the number of winners, the ordered pair which is viable is; (17, 3).

The ordered pair (20, 5) is viable too. However, the last answer choice indicates that it id not and hence, is incorrect.

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Answer:

(17,3)

Step-by-step explanation:

I got it on FLVS

The slope of a line perpendicular to the line is -4

The equation is x -4y = 28

The equation for the line is

y = mx + c

where m = slope

c = y-intercept

Here the equation is x - 4y = 28

4y = x - 28

y = x/4 - 7

So the slope of this line is 1/4

Now we have to find the slope of the line perpendicular to that line.

We know that,

m1 × m2 = -1

1/4 × m2 = -1

m2 = -4

Therefore the slope of the line perpendicular to the line is -4.

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The complete question is:

Find the slope of a line perpendicular to x-4y=28

[tex] \frac{7}{100} \times 41 \\ = 2.87[/tex]

ATTACHED IS THE SOLUTION

Answer:

y=-x

Step-by-step explanation:

Slope of the line = -1

Parallel line slope = -1, y intercept 0

y = -x

:]

Range of the given graph is  (-∞,+∞)

Range of the function y=f(x) is all possible value of y for different value  of x. Here value of x for which function is defined, known as domain of the function while the value of y for corresponding value of x is known as range of function.

              In the graph of the function the value of x (on X-axis) for which graph is plotted known as domain of graph while the value of y on the Y-axis is known as range of graph.

 In simple word we can say X-axis denotes domain and Y-axis denotes range

Thus, from the graph it seems very clear that the range of the given function or graph will lie between -∞ to +∞

    we can also write as y∈ (-∞,+∞)

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Answer:

4.3 dollars per pound

Step-by-step explanation:

price / pound = ?

$9.03 / 2.1 lbs. = 4.3

Answer:

2 + 1 = 3

40 + 9 = 49

56 + 3 = 61

2 x 0 = 0

5 x 5 = 25

Step-by-step explanation:

I think Squishmallows are made of fluff and cotton.

As for rulers, WOOD

Pens, ink, and plastic

hahahaaha i cant believe no one answered this yet, they probably thought this was an actual math problem they had to use much braincells for-

The answers for addition are 3,49,59 and multiplication are 0 and 25.

Any symbol that denotes a mathematical operation is known as an operator. Examples are d/dx and Square root of x (which implies that the square root should be taken) (which indicates differentiation with respect to x is to be performed).

These operators are + for addition, - for subtraction, * for multiplication, / for division, and % for percentage (modulo).

So:

2+1=3

40+9=49

56+3=59

2*0=0

5*5=25

Therefore,The solutions to the addition and multiplication problems are 0 and 25 respectively.

For the other part

Squishmallows are made of cotton and fluff.

rulers are made of WOOD

Ink and plastic and metal is used to make pens.

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Answer: Her answer is incorrect.

Step-by-step explanation: You have to distribute the negative sign to (-12), once you do that the (-12) becomes a positive making the equations -12 + 12 resulting in your answer being 0 not -24.

Take the 2nd term and minus the 1st term.

Now take the 3rd term and minus the 2nd term.

Notice that the differences are the same. Hence there is a common difference (difference of -0.5).

So it is an arithmetic sequence.