solve the inequality -6(1+2 x)> 6(2x-1)+2x

Answer:

c

Step-by-step explanation:

The focus of the parabola is (–8,–51∕2), directrix is y = –61∕2 option (C) is correct.

It is defined as the graph of a quadratic function that has something bowl-shaped.

(x - h)² = 4a(y - k)

(h, k) is the vertex of the parabola:

a = √[(c-h)² + (d-k²]

(c, d) is the focus of the parabola:

We have an equation for the parabola:

The parabolic equation also in the form of quadratic equation.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

y = (-1∕2)(x – 8)² – 6

The vertex of the parabola is (h, k)

h = 8, k = -6

The focus of the parabola:

(c, d)

c = -6

d = -6 - 1/2 = -13/2 = -6 1/2

Directrix of the parabola:

y = -6 - (-1/2)

y = -6 + 1/2

y = -11/2 = -5 1/2

Thus, the focus of the parabola is (–8,–51∕2), directrix is y = –61∕2 option (C) is correct.

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Answer:

7

Step-by-step explanation:

Answer:

x-intercept: (13/3, 0)

y-intercept: (0, -13)

Step-by-step explanation:

y+1 = 3x-12

y= 3x-13

For y-intercept:

y= 3(0) -13

y=-13

For x-intercept:

0=3x-13

3x=13

x=13/3

The intercepts of the line will be,

x-intercept: (13/3, 0)

y-intercept: (0, -13)

A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis. This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y. These points satisfy x = 0 because of this.

Given that y+1=3(x - 4). The x-intercept and y-intercept will be calculated as,

y+1 = 3x-12

y= 3x-13

For y-intercept:

y= 3(0) -13

y=-13

For x-intercept:

0=3x-13

3x=13

x=13/3

Therefore, the x-intercept is (13/3, 0) and the y-intercept is (0, -13).

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Answer:

301.4

Step-by-step explanation:

Volume of a cylinder=pi*[tex]r^{2}[/tex]*h.  Assuming you want 3.14 for pi, we can substitue the 4m for r, 6 for h and 3.14 for pi.

V=3.14*[tex]4^{2}[/tex]*6

V=301.44

Since you want to round to nearest tenths, the answer is 301.4

The volume of the cylinder with the given value of radius and height to the nearest tenth place is 301.4 cubic meters.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Given the data in the question;

We substitute our values into the expression above.

V = π × r² × h

V = 3.14 × (4m)² × 6m

V = 3.14 × 16m² × 6m

V = 301.4m³

The volume of the cylinder with the given value of radius and height to the nearest tenth place is 301.4 cubic meters.

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Answer:

Y=7.05

X= 11.6

Step-by-step explanation:

Equate both equations to zero

3x+5y=70--------equation 1

7x-3y=60---------equation 2

From the equation above

a1=3, b1=5, c1=-70

a2=7, b2= -3, c2=-60

By applying the cross multiplication method

x/b1c2-b2c1= y/a2c1-a1c2= 1/a1b2-a2b1

x/(5)(-60)-(-3)(-70)=y/(7)(-70)-(3)(-60)=1/(3)(-3)-(7)(5)

x/-300-(-210)=y/-490-(-180)=1/-9(-35)

x/-510=y/-310=1/-44

x/-510=1/-44 , y/-310=1/-44

-44x=-510 , -44y= -310

x=11.6 , y=7.05

Thus, the value of x is 11.6 and the value of y is 7.05

80 percent. 80 percent of 250 is 200 and 250 increased by a total of 200 therefore 80%

Answer: 80%

Step-by-step explanation:

Rule of 3.

Let's put the money on the left side and the percents on the right side.

[tex]\frac{250}{450}=\frac{100}{x}[/tex]

Solve for x:

[tex]x=\frac{450*100}{250}[/tex]

[tex]x=180[/tex]

Subtract 100 from 180

180-100=80

Answer:

Step-by-step explanation:

Answer:

1.3  groups beucae 18/6=3.

b.???

c.what

d. ru serious

Step-by-step explanation:

Answer: The measures of the angles are 64.6 degrees and 25.4 degrees.

Step-by-step explanation:

Complementary angles add up to 90 degrees.

x can be one angle, and (x-39.2) can be the other

x + (x-39.2) = 90

2x - 39.2 = 90

add 39.2 to both sides

2x = 129.2

divide each side by 2

x = 64.6

find the measure of the other angle

64.6-39.2 = 25.4

The measures of the angles are 64.6 degrees and 25.4 degrees.

Answer:

Step-by-step explanation:

Suppose two complementary angles of measures x And y then

x + y = 90 and y = x - 39.2

if we plug in  x - 39.2 instead of y in the equation x + y = 90 we get :

x + (x - 39.2) = 90

then

2x = 90 + 39.2

then

2x = 129.2

then

x = 129.2/2 = 64.6

therefore

y = 64.6 - 39.2

  = 25.4

______________________________

:)

Answer:

76[tex]\pi[/tex] or 238.76 [tex]units^{3}[/tex]

Step-by-step explanation:

The volume of a cylinder is V = [tex]\pi r^{2} h[/tex]

Here the radius is  r = [tex]\frac{1}{2} d[/tex] = [tex]\frac{1}{2}(4)=2[/tex]

The height is given as 19 ft

Then plug in all the numbers into the equation

V = [tex]\pi (2^{2})(19) = 76\pi = 238.76 units^{3}[/tex]

Answer:

∠ A ≈ 35.54°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan A = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{5}{7}[/tex], thus

A = [tex]tan^{-1}[/tex] ([tex]\frac{5}{7}[/tex] ) ≈ 35.54° ( to the nearest hundredth )

Answer:

14:6

3.5:1.5

21:9

Answer:

14/6

Step-by-step explanation:

Answer:

Step-by-step explanation:

well i guess if the decimal is on the left you would move it to the right twice

because if you only moved it once it'd become 1.0

and if you moved it to the left once it would also become 1.0

and if you moved it twice to the left you would be left with .10

pls mark me brainliest

Answer:

A

Step-by-step explanation:

6 times 9 times 3 = 162

Answer:

[tex]2\sqrt[3]{2}[/tex]

Step-by-step explanation:

[tex]log_{2}x + log_{4}x = 2\\\\log_{2}x + \frac{log_{2}x}{log_{2}4} =2\\\\log_{2}x + \frac{log_{2}x}{2} =2\\\\2log_{2}x + log_{2}x =4\\\\3log_{2}x =4\\\\log_{2}x = \frac{4}{3} \\\\x=2^{\frac{4}{3}}=2^{1+\frac{1}{3} }=2*2^{\frac{1}{3} }=2\sqrt[3]{2}[/tex]

Answer:

she will use 420 inches of paper with 69 left over

Step-by-step explanation:

It is what it is

Answer:

She would use 330 inches of paper

Answer:

(B)c = StartFraction (3) sine (45 degrees) Over sine (40 degrees) EndFraction

[tex]c=\dfrac{3 * \sin 45}{sin 40}[/tex]

Step-by-step explanation:

In Triangle ABC is shown.

[tex]\angle A B C=[/tex] 95 degrees

[tex]\angle B C A =[/tex] 45 degrees.

|AB|=c

|BC|=3.0 cm

[tex]\angle A+\angle B+\angle C=180^\circ\\\angle A+95+45=180\\\angle A=180-140=40^\circ[/tex]

Using the Law of Sines

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

[tex]\dfrac{3}{\sin 40}=\dfrac{c}{\sin 45}\\\\$Cross multiply\\c*\sin 40 =3 * \sin 45\\\\c=\dfrac{3 * \sin 45}{sin 40}[/tex]

The correct option is B.

Answer:

B

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

G(x) = 3x -2

Let x = 0 to find the y intercept

G(0) = 3(0)-2

       =-2

Answer:

the answer to this question is D. 13 units.

Step-by-step explanation:

for this problem you use the distance formula

d equals the square root of (the second x minus the first x and rise all to.the second power minus the second y minus the first y that is rised to the second power too)

Answer:

$2.98

Step-by-step explanation:

$10.43 / 3.5 = $2.98

Answer:

[tex] V = \pi r^2 h[/tex]

And for this case the value for the height is [tex] h = 10.7 in[/tex] the diameter is provided [tex] D = 2r = 8.1 in[/tex] so then the radius is given by:

[tex] r = \frac{D}{2}=\frac{8.1 in}{2}= 4.05 in[/tex]

Then we can find the volume with the first formula and replacing we got:

[tex] V = \pi (4.05in)^2 (10.7 in)= 551.4 in ^3[/tex]

The final answer for this case would be 551.4 cubic inches

Step-by-step explanation:

The volume for a right circular cone is given by this formula:

[tex] V = \pi r^2 h[/tex]

And for this case the value for the height is [tex] h = 10.7 in[/tex] the diameter is provided [tex] D = 2r = 8.1 in[/tex] so then the radius is given by:

[tex] r = \frac{D}{2}=\frac{8.1 in}{2}= 4.05 in[/tex]

Then we can find the volume with the first formula and replacing we got:

[tex] V = \pi (4.05in)^2 (10.7 in)= 551.4 in ^3[/tex]

The final answer for this case would be 551.4 cubic inches

Answer V:183.8^3 previous answer is wrong

Answer:

Step-by-step explanation:

You need to first find what x equals before you can solve the equation.

Answer:

36

Step-by-step explanation:

x^2+2xy+y^2

12x/2x=6=y

y^2=36

Answer: False

Step-by-step explanation: The question is asking if a rhombus is a kite, keyword there. A rhombus is shaped like most kites, but it's not a kite.

I hope this helps!

Answer:

x < 7/12

Step-by-step explanation:

1/4+x<5/6

Multiply each side by 12 to get rid of the fractions

12*1/4+12x<5/6*12

3 + 12x < 10

Subtract 3 from each side

3+12x-3 < 10-3

12x < 7

Divide by 12

12x/12 < 7/12

x < 7/12

Answer:

A

Step-by-step explanation:

Answer:

-4 and 5

Step-by-step explanation:

Answer: 5 and -4

Step-by-step explan

Answer:

3.7096902=area

Step-by-step explanation:

2.1x1.4=2.94m^2

2.94+(.5pi(.7^2))

Answer:

b is 9 and h is 18

Step-by-step explanation:

because its times 1.5 for each one so like 5 times 1.5 is 7.5 so we can see that it is times by 1.5

Answer:

A) b = 9

D) h = 18

Step-by-step explanation:

b/6 = 7.5/5 = h/12

b/6 = 1.5

b = 9

1.5 = h/12

h = 18

Answer:

Probability of spinning a six, and I'm guessing on a spinner with six numbers would be 1 and 6, 1:6, or 1/6. Flipping tails would be 1 and 2, 1:2, or 1/2

Step-by-step explanation:

Answer:

4 cups

Step-by-step explanation:

in order to convert 32 ounces into cups, you must divide 32 by 8. this will give you 4, your answer.

If this helps, please mark me brainliest. :)

Answer:

4 cups

Step-by-step explanation:

32/x = 8/1

8x = 32

x = 4

Answer: Answer is B

Step-by-step explanation:

Remeber that the shorter a container is doesn't mean it has less mass or volume. the width can mean it holds more. If the radius is twice as big that can mean the contents is more and your getting a better deal.   hOpe this will help.