how do you solve for x.

Answer:

x=2,-4

Step-by-step explanation:

The polynomial f(x) = 2x³ + 4x² - 2x - 4 can be expressed as a product of linear factors as (x + 2)2(x - 1)(x + 1)

We have,

To express the polynomial f(x) = 2x³ + 4x² - 2x - 4 as a product of linear factors, we can use a technique called factorization by grouping.

First, let's group the first two terms and the last two terms together:

f(x) = (2x³ + 4x²) + (-2x - 4)

Factor out the greatest common factor from each group:

f(x) = 2x²(x + 2) - 2(x + 2)

Notice that we now have a common factor of (x + 2) in both terms.

We can factor it out:

f(x) = (x + 2)(2x² - 2)

Now we can factor the quadratic expression 2x^2 - 2 by factoring out the greatest common factor of 2:

f(x) = (x + 2)2(x² - 1)

Now we can factor the expression x² - 1 as the difference of squares:

f(x) = (x + 2)2(x - 1)(x + 1)

Therefore,

The polynomial f(x) = 2x³ + 4x² - 2x - 4 can be expressed as a product of linear factors as (x + 2)2(x - 1)(x + 1)

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Answer:

A point on (0,2) and (7,3)

Step-by-step explanation:

First draw a point on 2 y axis to represent y intercept. The slope is rise over run in this example, do it backwards so go right 7 and 1 up. So it is (7,-3)

Check:  3-2/7-0

1/7 is slope

So this solution is correct

Answer:

1

Step-by-step explanation:

Substitute x with (-1),

(-3) x (-1) = 3

3 - 2 = 1

Have a great day <3 (I'm happy)

Answer:

the penny because, the amount is going to triple everyday which will leave you with alot more money towards the end, and I've seen this so definitely pick the penny.

Answer:

the correct answer is 126 sq. cm

Step-by-step explanation:

Area of square= side = 6cm

Area = s*s = 6*6 = 36sq. cm

Area of rectangle: length = 12cm and breadth = 6cm

Area of rectangle = length * breadth = 12 * 6 = 72sq. cm

Area of triangle: height = 6cm and base = 6cm

Area of triangle = 1/2 * base * height = 1/2 * 6 * 6 = 3* 6 = 18sq. cm

Total area of the given figure = Area of square + Area of rectangle + Area of triangle

= 36 + 72 + 18 = 126sq. cm

☁️ Answer ☁️

(-2, 10)

Hope it helps.

Have a nice day noona/hyung ￣▽￣

Answer:

X = 9, in other words it's A

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

x+7=-2

 -7   -7

-7 plus -2 equal 9

:) hope that helped

Answer:

=14m^2p^2+7m^2p+7mp^2+7mpx

Answer:

48 cm

Step-by-step explanation:

6x8 Please   dont  be mad if  im  wrong TT>TT

Answer:

Jun 25, 2018 — Reflection over the y -axis. Vertical stretch by a factor of two. Horizontal translation right two units. Vertical translation up two units. I hope this helps you .. ;]

Step-by-step explanation:

The linear function is given by f(x) = 2x - 10 with a zero of -10(y intercept.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope and b is the y intercept.

The line passes through the point (1, -8) and has a slope of 2. Hence:

y - (-8) = 2(x - 1)

y = 2x - 10

f(x) = 2x - 10

f(0) = 2(0) - 10 = -10

The linear function is given by f(x) = 2x - 10 with a zero of -10(y intercept.

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Answer: I also like kenma, also like shoyo

Step-by-step explanation:

Btw great question

Step-by-step explanation:

i think tanaka might be my favorite :)

Answer:

-59

Step-by-step explanation:

(-6) (8) + (-11)

(-48) + (-11)

-48 -11

-59

Answer:

C. 74

Step-by-step explanation:

add up all the numbers but not the value so you have 18 numbers. divide that by 2 and get 9. so 74 is between 73 and 78 so it divides the 18 numbers evenly into 9 and 9.

Answer:

(x+2)^2+(y+1)^2=4

Step-by-step explanation:

(x-h)^2+(y-k)^2=r^2 is the standard equation for a circle

Plug in point at (h,k) Negative points= positive in equation due to (x-h),(y-k) All equal to radius squared

Answer: The artist used 8.6 inches more of silver wire

Step-by-step explanation:

Perimeter of the square

P = 4*a

P = 4*a = 40 in

a = 10 in

Each side of the square has a length of 10 in

The diameter of the circle is equal to the length of the side of the square

Diameter = 10 in

Perimeter of the circle

P_c = 2*π*radius = π*diameter

P_c = (3.14)*10 in = 31.4 in

Inches of silver wire (square) = 40 in

Inches of copper wire (circle) = 31.4 in

40- 31.4 in = 8.6 in

Answer:

35

Step-by-step explanation:

6 pies = 21 cups of apples

1 pie =  3.5 cups of apples

10 pies = 35 cups of apples

Answer:

5

Step-by-step explanation:

As we can see they are similar triangles then

the ratio of the corresponding sides are equal then

x /25 = 9/45

x = 25 * 1/ 5

x = 5

Hope it will help :)

Answer:

y = 1/2x + 10

Step-by-step explanation:

(y-11)/(14-11) = (x-2)/(8-2)

(y-11)/3 = (x-2)/6

2y-22 = x-2

2y = x + 20

y = 1/2x + 10

Let m = slope of the line.

m = (14 - 11)/(8 - 2)

m = 3/6

m = 1/2

We now have the slope and the slope is 1/2.

We plug the slope and one of the point into the point-slope formula.

Here is the point-slope formula:

y - y_1 = m(x - x/_1)

I will use the point (2, 11).

y - 11 = (1/2)(x - 2)

y - 11 = (1/2)x - 1

Now we solve for y by adding 11 to both sides of the equation.

y = (1/2)x - 1 + 11

Answer: y = (1/2)x + 10

Answer:

Recipe for 6 smoothies:

2 apples

3/2 of a lemon

4 peaches

Step-by-step explanation:

Recipe for 1 smoothie:

1/3 of an apple

1/4 of a lemon

2/3 of peach

A family of 6 arrives and they all want that smoothie.

Multiply every recipe for 1 smoothie by 6

Recipe for 6 smoothies:

6 × 1/3 of an apple

= 6/3 = 2 apples

6 × 1/4 of a lemon

= 6/4 = 3/2 of a lemon

6 × 2/3 of peach

= 12/3 = 4 peaches

Recipe for 6 smoothies:

2 apples

3/2 of a lemon

4 peaches

Answer:

3/4

Step-by-step explanation:

54/72 simplified is the same as 3/4

Answer:

A. Clayton could use the relationship (x,y)\rightarrow (y,x)(x,y)→(y,x) to find the points of the image.

C. C’ will remain in the same location as C because it is on the line of reflection.

D. The image and the pre-image will be congruent triangles.

Step-by-step explanation:

A. Clayton could use the relationship (x,y)\rightarrow (y,x)(x,y)→(y,x) to find the points of the image.

This option is TRUE. When we reflect a shape in the line y=xy=x , we just have to swap the x and y coordinates.

B. .Clayton could negate both the x and y values in the points to find the points of the image.

False; This is a rotation of 180\degree180° about the origin.

C. C’ will remain in the same location as C because it is on the line of reflection.

This statement is True

C’ will move because all points move in a reflection.

This statement is false because,C(2,2) and C'(2,2) will have the same coordinate.

D. The image and the pre-image will be congruent triangles.

This is TRUE because reflection is a shape preserving transformation(rigid motion).

E. The image and pre-image will not have the same orientation because reflections flip figures.

This is False

Hope this helps :)

Answer:

a,c,e,f

Step-by-step explanation:

Answer:

Part A)

The lower base has a radius of 9 units, and the upper base has a radius of 6 units.

Part B)

5 units.

Part C)

75π or about 235.62 square units.

Step-by-step explanation:

Please refer to the figure below.

The cone has a radius of 9 units and a total height of 12 units.

A frustum of the cone has a height of 4 units.

Part A)

The lower radius of the frustum will simply be 9 units.

For the upper radius, we will use the properties of similar triangles. We will compare the smaller upper triangle to the overall larger triangle. This yields:

[tex]\displaystyle \frac{12}{8}=\frac{9}{x}[/tex]

Solve for x. Simplify:

[tex]\displaystyle \frac{3}{2}=\frac{9}{x}[/tex]

Cross-multiply:

[tex]18=3x\Rightarrow x=6[/tex]

The upper base has a radius of 6 units.

Part B)

We can first find the total slant height of the entire cone. By using the Pythagorean Theorem, this yields that the total slant height is:

[tex]SH^2=12^2+9^2[/tex]

Simplify:

[tex]SH^2=225\Rightarrow SH=15\text{ units}[/tex]

Now, find the slant height of the upper cone:

[tex](SH_\text{cone})^2=8^2+6^2=100[/tex]

So:

[tex]SH_\text{cone}=10[/tex]

Then the slant height of the frustum will be the cone subtracted from the total. Thus:

[tex]SH_{\text{frustum}}=15-10=5\text{ units}[/tex]

Part C)

We can first find the lateral area of the entire cone. The lateral area is given by:

[tex]LA=\pi r\ell[/tex]

The lateral area of the entire cone will be:

[tex]LA=\pi (9)(15)=135\pi[/tex]

The lateral area of the upper cone will be:

[tex]LA_\text{cone}=\pi(6)(10)=60\pi[/tex]

Then the lateral area of the frustum is:

[tex]LA_\text{frustum}=135\pi-60\pi =75\pi\text{ units}^2\approx235.62\text{ units}^2[/tex]

Answer:

b

Step-by-step explanation:

i did this b4

The following is the difference of two squares

2. 8x² - 16y²

3. 25m² + 100n²

4. 100 [tex]a^4[/tex] - 9 [tex]b^{12[/tex]

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

Given:

we have to find expression for difference of two squares

1. 4g - 16h

= (2)²g- (4)²h

2. 8x² - 16y²

= (2√2x)² - (4y)²

3. 25m² + 100n²

= (5m)² + (10n)²

4. 100 [tex]a^4[/tex] - 9 [tex]b^{12[/tex]

= (10a²)² - (3[tex]b^6[/tex])²

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Answer:

13% of 44,000

Do the math then you’ll get the answer :)

Answer:

$12,183.60

Step-by-step explanation:

(I am assuming this is monthly interest and not continuous interest)

$44,000(1.13)² = $44,000(1.2769) = $56,183.60 - $44,000 = $12,183.60