if f(x) = 3x-12, what is f(2)

A.18
B.-18
C.6
D.-6

Answer:

[tex]p(x)=-x^3-2x^2+5x+6.[/tex]

Step-by-step explanation:

If a cubic polynomial has zeros [tex]x_1,\ x_2,\ x_3,[/tex] then it has a form

[tex]p(x)=a(x-x_1)(x-x_2)(x-x_3).[/tex]

In your case, zeros are -3, -1 and  2, then the polynomial is

[tex]p(x)=a(x-(-3))(x-(-1))(x-2),\\ \\p(x)=a(x+3)(x+1)(x-2).[/tex]

If [tex]p(0)=6,[/tex] then

[tex]p(0)=a(0+3)(0+1)(0-2)=6,\\ \\-6a=6,\\ \\a=-1[/tex]

and

[tex]p(x)=-(x+3)(x+1)(x-2)=-x^3-2x^2+5x+6.[/tex]

Answer:

x =7

Step-by-step explanation:

Remark

Equation

(x + 2)/(x - 4) = (3x + 6)/ (x + 2)

Solution

I would begin this problem by taking out the common factor on the top right term. You'll see why in a second.

(x + 2)/(x - 4) = 3(x + 2)/ (x + 2)   Notice the two binomials on the right cancel.

Ok so factoring quadratics is fairly easy once you get the hang of it

So we have a quadratic [tex]x^2+x-2[/tex]

My first question would be what 2 numbers multiply to -2 and add to +1

the answer is 2 and -1

Second question what 2 values multiply to get [tex]x^2[/tex]

the answer x and x

your factored form would be [tex](x-1)(x+2)[/tex]

This is as far as i can explain there is a whole lot about quadratics to be learned. You have to ask your teacher on more information

Answer:

B $13

Step-by-step explanation:

Julie has 16.73  That is approximately 17 dollars

She buys a purse that is 4.12.   That is approximately 4 dollars

17 -4 = 13

She will have approximately 13 dollars left

Answer:

A y = -x+2

Step-by-step explanation:

To find the slope of the line m we use the formula

slope = (y2-y1)/(x2-x1)

         = (-9--7)/(4-2)

         = (-9+7)/(4-2)

        = -2/2

        = -1

When lines are parallel, the slopes are the same.  We need to find a line with slope of -1

y = -1x+2 is written in the form y =mx+b where m is the slope

m=-1  so the slope is -1

This line has the same slope so it is parallel to the line above.

Answer:

would be A

Step-by-step explanation:

SLOPE HAS TO BE -1

I think, it's the symbol of the inches.

3" = 3 inches

or it's the second derivative of the function

[tex]\dfrac{d^2y}{dx^2}=f''(x)[/tex]

Answer:

16 pounds

Step-by-step explanation:

The ratio of no. of packages of red pepper to no. of packages of green pepper is given 8 is to 13.

So, atleast 8 packages of red pepper are sold

Therefore, least possible weight of red peppers in the bin = 2×8 = 16 pounds.

The least possible weight of red peppers in a supermarket bin with a ratio of 8 to 13 of red to green peppers, where each package weighs 2 pounds, is 16 pounds.

To find the least possible weight, we assume the smallest number of packages that maintain the ratio. Multiplying both numbers of the ratio by 2 pounds gives us the weight of the red and green peppers, but since we want the least possible weight of red peppers, we'll only calculate for red.

Therefore, if we have 8 packages of red peppers, each weighing 2 pounds, the calculation would be:

Answer:

r=8

Step-by-step explanation:

The formula for slope is

m = (y2-y1)/ (x2-x1)

Substitute in what we know.

8/3 = (-7-1)/(5-r)

Simplify

8/3 = -8/(5-r)

We can use cross products to help us solve.

8 * (5-r) = 3 * (-8)

divide each side by 8

8/8 * (5-r) = 3 * (-8)/8

5-r = -3

Subtract 5 from each side

5-r-5 = -3-5

-r = -8

Multiply by -1

r = 8

Answer:

37 pages/hour

Step-by-step explanation:

This is a unit rate problem.

You are trying to find the number of pages per hour.

Divide the number of pages by  the number of hours.

222 pages in 6 hours

(222 pages) / (6 hours) = 37 pages/hour

Answer:

37 pages/hour

Step-by-step explanation:

To find the reading speed, we take the pages read and divide by the time it took.

222 pages/ 6 hours

37 pages/hour

Answer: The cost of 1 liter milk is $ 0.75  and the cost of a loaf of bread is $1.75

Step-by-step explanation:

Let the cost of one liter of milk  is m dollar and the cost of one loaf of bread is b dollar.

Since, the total cost of the 3 liter milk and 5 loaf of bread = $ 11

That is, 3 m + 5 b = 11   ----------(1)

And, the cost of the 4 liter of milk and 4 loaf of bread = $ 10

That is, 4 m + 4 b = 10 -----------(2)

4 × Equation (1),

12 m + 20 b = 44 -----------(3)

3 × Equation (2),

12 m + 12 b = 30 --------------(4)

Equation (3) - Equation (4),

We get, 8 b = 14

⇒ b = 14/8 = 1.75

 By putting the value of b in equation (1)

We get,

3 m = 11 - 1.75×5 ⇒ m = 2.25/3 = 0.75

Thus, the price of one liter of milk = $ 0.75

And, the price of one loaf = $ 1.75

Answer:

The cost of 1 liter milk is $ 0.75  and the cost of a loaf of bread is $1.75

Step-by-step explanation:

Answer:

k = 60

Step-by-step explanation:

2k + 11 is a same side corresponding angle, hence

2k + 11 = 131 ( vertically opposite angles )

subtract 11 from both sides

2k = 120 ( divide both sides by 2 )

k = 60

Answer:

Option C. k = 60

Step-by-step explanation:

There are two lines Z and Y and crossed by a transverse x.

We have to find the value of k.

Since opposite angle of ( 2k + 11 ) is corresponding angle of 131°

so opposite angle of ( 2k + 11 ) will be = (2k + 11)

and corresponding angles are equal in measure.

So 2k + 11 = 131

    2k = 131 - 11

   2k = 120

    k = 60

Option C k = 60 is the answer.

Answer: His smallest age could be 16 years.

Step-by-step explanation:

Since we have given that

Four-fifths of his current age is greater than three-quarters of his age one year from now.

Let his present age be x

So, According to question,

[tex]\frac{4}{5}x>\frac{3}{4}(x+1)[/tex]

Take the equality,

[tex]\frac{4}{5}x=\frac{3}{4}(x+1)\\\\\frac{4}{5}x=\frac{3}{4}x+\frac{3}{4}\\\\\frac{4}{5}x-\frac{3}{4}x=\frac{3}{4}\\\\\frac{16x-15x}{20}=\frac{3}{4}\\\\\frac{x}{20}=\frac{3}{4}\\\\x=\frac{3\times 20}{4}\\\\x=15[/tex]

So, [tex]x>15[/tex]

Hence, Nearest and smallest integer greater than 15 is 16 .

Therefore, His smallest age could be 16 years.

Answer:

Answer: His smallest age could be 16 years.

Step-by-step explanation:

Since we have given that

Four-fifths of his current age is greater than three-quarters of his age one year from now.

Let his present age be x

So, According to question,

Take the equality,

So,

Hence, Nearest and smallest integer greater than 15 is 16 .

Therefore, His smallest age could be 16 years.

Answer:

The answer is 2.4

Step-by-step explanation:

Divide 1.2x10^5 by 4.9x10^3 and you should get the answer of 2.44.

Hope this helps

Answer:

11 & 8

Step-by-step explanation:

11+8=19

11-8=3

Answer:

The answer is 8 and 11

Step-by-step explanation:

8 + 11 = 19

11 - 8 = 3

Answer: y > x, y > 2

The horizontal line goes through 2 on the y axis. This boundary line is represented by the equation y = 2, since every point on this line has a y coord of 2. The shading above it means that the inequality is y > 2. Every point in the shaded region of y > 2 has a y coord that is larger than 2.

The other inequality is y > x because we shade above the dashed boundary line y = x, which is that slanted dashed line.

Combining the two regions of y > 2 and y > x leads to what is shown.

Final answer:

The question regarding systems of inequalities is incomplete, but linear inequalities like y < x or y > 2 can be graphically represented. The same is true for linear equations, with options A, B, and C all depicting linear forms.

Explanation:

The question which system of inequalities is shown seems to be missing some context or parts, but in general, inequalities can be represented on a graph and used to describe the relationship between variables. When dealing with linear inequalities, such as y < x or y > 2, these can be shown graphically with a line dividing the plane into two regions: one where the inequality is true and the other where it is false. For instance, y < x would be represented by a line that slopes upward to the right, and the region below this line (where y is less than x) is shaded. Similarly, for y > 2, a horizontal line is drawn at y=2, and the area above this line is shaded, indicating where y is greater than 2.

When looking at linear equations, all the options A. y = -3x, B. y = 0.2 + 0.74x, and C. y = -9.4 - 2x are indeed linear, as they can all be written in the form y = mx + b, where m and b are real numbers and represent the slope and y-intercept of the line, respectively.

Answer:

57

Step-by-step explanation:

6x?=5/8x15 3/4

Answer:

a = 59

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. Isolate the variable (a). Add 17 to both sides

a - 17 = 42

a - 17 (+17) = 42 (+17)

a = 42 + 17

Simplify. Combine like terms

a = 42 + 17

a = 59

59 is your answer

~

Solve for a (this means they want you to get "a" by itself in the equation)

So:

a - 17 = 42     Add 17 on both sides to get "a" by itself

a - 17 + 17 = 42 + 17

a = 59

Answer: if talking square root, it is sqrt3/2. if talking decimals, it is about 0.87.

Answer:

Sine 60°= √3/2

=1.732/2

0.8660

Step-by-step explanation:

In mathematics, the sine is a trigonometric function of an angle. The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse).

From the triangle shown in the attachment

The sine of an angle =

Opposite/hypotenuse

Sine 60°= √3/2

=1.732/2

0.8660

Answer:

w=-4

Step-by-step explanation:

w-20=6w

-20=5w

-4=w

Answer:

C < A < B

Step-by-step explanation:

Answer:

Step-by-step explanation:The answer is C<A<B and the reason is is because angle A and C are the same and angle B is the largest.

Answer:c

Step-by-step explanation:

Answer: Hey he got it right it's C

Step-by-step explanation:

Answer:

In the attachment.

Step-by-step explanation:

Rewrite [tex]x\geq-3y-6[/tex] as a [tex]y\geq -\frac{1}{3}x-2[/tex]. Then mark each set with different color and take the intersection of these.

Answer: 4 tickets

Step-by-step explanation: If $15.25 is Salar’s total and each ticket costs $3.50, we need to use division to figure out how many tickets Salar can purchase. When we divide 15.25/3.50, we get 4.35 (approximately). Salar can’t have .35 of a ticket, so we round down to 4 whole tickets.

Answer:

Mean = £1.8 million

Step-by-step explanation:

The MEAN is the sum of all the numbers divided by the number of numbers.

Hence the mean is [tex]\frac{9}{5}=1.8[/tex] million

The answer is C, -6, -√225, 4 7/8.

Rational means that the number can be expressed as a fraction and integer numerators and denominators. -6 and 4 7/8 can clearly be expressed as a fraction. -6 can be expressed as -6/1 and 4 7/8 can be expressed as 39/8.

-√225 is equivalent to -15, which is rational.

A is wrong because the number includes Pi.

B is wrong because -3.0541 never ends and √99 is irrational.

D is wrong because √21 is also irrational.

The Set C.  -6, -√225, 4 7/8 is the only set that contains all rational numbers.

The set of rational numbers consists of numbers that can be expressed as a fraction of two integers. To determine which set of numbers contains all rational numbers, we need to check if all the numbers in each set can be expressed as a fraction.

In set A, only 1/2 is a rational number.

In set B, -3.0541... and 0.14363 can be expressed as fractions, but √99 cannot.

In set C, -6, -√225, and 4 7/8 can all be expressed as fractions.

In set D, √21 is not a rational number, while 0 and 0.75 are rational numbers.

Therefore, set C is the only set that contains all rational numbers.

https://brainly.com/question/24398433

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Answer: The second option represents a slope of 1/4

Step-by-step explanation:

To find slope, select two points along the line and plug them into this equation: (y2-y1)/(x2-x1)

We'll take the two points in the second graph and plug them into the equation above: (4-3)/(4-0)= 1/4

Therefore, the second option represents a slope of 1/4. Hope this helps:)

Answer:

(B) would be the best answer choice

Step-by-step explanation:

Answer:

Please, see the answers in the attached files.

Step-by-step explanation:

Please, see the attached files.

Thanks.

Answer:

Option D.

Step-by-step explanation:

Consider the given function

[tex]f(x)=0.25^x+5[/tex]

We need to find the graph of given function.

Substitute x=0 in the given function to find the y-intercept of the function.

[tex]f(0)=0.25^(0)+5[/tex]

[tex]f(0)=1+5[/tex]

[tex]f(0)=6[/tex]

So, y-intercept of the function is 6.

[tex](0.25)^x\rightarrow \infty[/tex] as [tex]x\rightarrow -\infty[/tex]

[tex](0.25)^x\rightarrow 0[/tex] as [tex]x\rightarrow \infty[/tex]

We can concluded that

[tex]f(x)\rightarrow \infty[/tex] as [tex]x\rightarrow -\infty[/tex]

[tex]f(x)\rightarrow 5[/tex] as [tex]x\rightarrow \infty[/tex]

Therefore, the correct option is D.

Answer:

D

Step-by-step explanation: