Given that g(x) = 2x ^ 2 - 2x + 8 , find each of the following. a) g(0) b) g(- 2) C) g(3) d) g(- x) e) g(1 - t)

A

64 :) i think

Step-by-step explanation:

Answer:

x = 30

Step-by-step explanation:

If A parallel to B , then

2x and 4x are same- side interior angles and sum to 180° , that is

2x + 4x = 180

6x = 180 ( divide both sides by 6 )

x = 30

Answer:

A. x>11

Step-by-step explanation:

15 < 4 + x

take 4 to the LHS this becomes 15 - 4 < x

•°• 11 < x

< means less than

Therefore x is greater than 11

x > 11

Given:

[tex]\dfrac{3}{4}[/tex] of a number is added to [tex]\dfrac{5}{4}[/tex] it gives the same result as taking [tex]\dfrac{7}{8}[/tex] of the number from [tex]20\dfrac{1}{3}[/tex].

To find:

The unknown number.

Solution:

Let x be the unknown number.

[tex]\dfrac{3}{4}[/tex] of a number is added to [tex]\dfrac{5}{4}[/tex] it gives the same result as taking [tex]\dfrac{7}{8}[/tex] of the number from [tex]20\dfrac{1}{3}[/tex].

[tex]\dfrac{5}{4}+\dfrac{3}{4}x=20\dfrac{1}{3}-\dfrac{7}{8}x[/tex]

[tex]\dfrac{5+3x}{4}=\dfrac{61}{3}-\dfrac{7}{8}x[/tex]

[tex]\dfrac{5+3x}{4}=\dfrac{488-21x}{24}[/tex]

Multiply both sides by 24.

[tex]6(5+3x)=488-21x[/tex]

[tex]30+18x=488-21x[/tex]

[tex]18x+21x=488-30[/tex]

[tex]39x=458[/tex]

Divide both sides by 39.

[tex]x=\dfrac{458}{39}[/tex]

Therefore, the required number is [tex]\dfrac{458}{39}[/tex].

Answer:

Option (d), (e) and (f) are correct.

Step-by-step explanation:

In triangle MNP, angle P = 90 degree

Cos M = 7 / 12

Now according to the right angle triangle

[tex]NP^2 = NM^2 - PM^2\\\\NP^2 = 12^2 - 7^2\\\\NP = \sqrt95[/tex]

Now

[tex]Sin M = \frac{sqrt95}{12}\\\\Cos N = \frac{95}{12}[/tex]

Answer:

b . is the answer

Step-by-step explanation:

ha ahhgahga

Answer:

Exact surface area = 500+20pi square cm

=============================================================

Explanation:

All areas mentioned are in square cm, which can be abbreviated to cm^2.

Faces A,B,C are straight forward as they are simply rectangles. The remaining 3 other faces are a bit tricky.

Faces D and E involve subtracting off the area of a semicircle of radius 2 from a 7 by 10 rectangle area. The formula pi*r^2 is the area of a full circle, while 0.5*pi*r^2 is the area of a semicircle. From there, I then plugged in r = 2.

The top face is really a combination of 3 different pieces (two flat, one curved in the middle). Each flat part is of area 3*12 = 36, so that doubles to 2*3*12 when accounting for both flat parts. The curved portion will involve the lateral surface area of a cylinder formula which is

LSA = 2*pi*r*h

but since we're only dealing with half the lateral area, we multiply that by 0.5 to get 0.5*2*pi*r*h. From there, I plugged in r = 2 and h = 12.

-----------------------

In summary we have these six areas for the faces

Add up those sub areas to get the full surface area of this particular 3D solid.

120+84+84+(70-2pi)+(70-2pi)+(72+24pi)

(120+84+84+70+70+72)+(-2pi-2pi+24pi)

500+20pi

This is the exact surface area in terms of pi. If you want the approximate version of this, then you could replace pi with 3.14 and compute to get 562.8 cm^2

Use more decimal digits in pi to get a more accurate value. If you use your calculators version of pi, then you should get somewhere around 562.831853 cm^2

In this case, I think it's better to stick with the exact surface area (unless your teacher instructs otherwise).

Answer:

48

Step-by-step explanation:

let the number be x and x + 16 the result of adding 16 to it, then

the ratio of the result to the original is

[tex]\frac{x+16}{x}[/tex] = [tex]\frac{4}{3}[/tex] ( cross- multiply )

4x = 3(x + 16)  = 3x + 48 ( subtract 3x from both sides )

x = 48

What is the answer to 3/4 x 1/2?

Answer : 0.375

Answer:

3/8

Step-by-step explanation:

Answer:

The slope is Negative three-halves and contains the point (0, 2).

Step-by-step explanation:

(-3,-4)(3,0)

M= -4/-6 = 2/3

⊥M = -3/2

0 = 2/3(3) + B

B=2

Answer:

Step-by-step explanation:

The range is the set of y-values.

The graphed function has its range between 0 and 7, both inclusive.

So the range is:

Answer:

8.5

Step-by-step explanation:

QR is 10

PQRS AREA is 45

10 times 4.5 is 45

meaning BC and PQ is 4.5

4.5 plus 4.5 is 9

26 minus 9 is 17

17 divided by two is 8.5

AB is 8.5

[tex]\displaystyle\bf 1) \ if\ y=152 \Longrightarrow x=30+152=182 \\\\2) \ if \ y =200 \Longrightarrow x=200+30=230\\\\3) \ if \ y=80 \Longrightarrow x=30+80=110\\\\4) \ if \ y=4 \Longrightarrow x=4+30=34 \\\\5)\ if \ y=8 \Longrightarrow x=30+8=38[/tex]

Look at ∠A, the angle which resides on (1, 3). If we count 5 units down, you find the other endpoint on side AC. Hence, the length of side AC is 5 units. This figure is equal to the height of the graphed triangle.

If we mirror this process with the figure representing the triangle's length, side BC, we get 4 units.

The formula for calculating a triangle's area is [tex]\frac{1}{2}bh[/tex]. In this context, the base of the triangle is the same as the length. Now, let's plug in the base and the height.

[tex]\frac{1}{2}(4)[/tex] × [tex](5) = 10[/tex]

The area of triangle ABC is 10 squared units.

Answer:

first box: 5      second box: 10

Step-by-step explanation:

Answer:

y= (3/2)x-3

Step-by-step explanation:

We need two points to find the equation of a line. Let's take (2,0) and (4, 3).

In the equation y=mx+b, m represents the slope. To find the slope, we can calculate the change in y/change in x. For (2,0) and (4,3), the change in y is 3-0=3 and the change in x is 4-2=2. Therefore, our slope is 3/2.

Then, in the equation y=mx+b, we can plug 3/2 in for m to get y = (3/2)x+b. To find b, we can plug one point in, such as (2.0), to get 0=(3/2)(2) + b, 0=3+b, and b=-3, making our equation

y= (3/2)x-3

Answer:

the answer is C

Step-by-step explanation:

Answer:

x=4    Area = 56

Step-by-step explanation:

find x :

36 = 2 (3x + 2 + x)   (simplify)

36 = 2 (4x+2)           (divide both sides by 2)

18 = 4x + 2               (solve)

16 = 4x

4 = x

Find Area Substitute value of x

A= l × w

A = (3x + 2) × (x)

A = (3 × 4 + 2) × (4)

A = (12 + 2) × 4

A = 14 × 4  

A= 56

hope this helps :)

Answer:

3/18

Step-by-step explanation:

3/18= 0.16

10/3= 3.33

Answer:

3/18

Step-by-step explanation:

3/18 , 10/3

Simplify it to the smallest size

3/18 , 10/3

1/6 , 10/3

1/6 = 3/18

Answer:

4 , 4 , 5 , 6 , 11

Step-by-step explanation:

Mode = 4

So at least two times 4 should be there in the data.

And median is 5. So the middle term ( 3rd term} should 5.

Let x and y be the 4th term and 5th term

Data set:

4 , 4 , 5 , x , y

Mean =6

[tex]\frac{4+4+5+x+y}{5}=6\\[/tex]

4+4+5 +x + y = 6*5

13 + x + y = 30

     x + y = 30 - 13

     x + y = 17

x ,y can be any numbers that sum up to 17.

x , y  can be  10 , 7   or  6, 11

Data set: 4 , 4 , 5 , 6, 11

Given:

[tex]u=(-1,4)[/tex]

[tex]v=(3,-2)[/tex]

The equation is:

[tex]t=u+v[/tex]

To find:

The ordered pair to represent t in the given equation.

Solution:

We have,

[tex]t=u+v[/tex]

Substituting the given values, we get

[tex]t=(-1,4)+(3,-2)[/tex]

[tex]t=((-1)+3,4+(-2))[/tex]

[tex]t=(-1+3,4-2)[/tex]

[tex]t=(2,2)[/tex]

Therefore, the ordered pair to represent t in the given equation is (2,2).

Answer:

there are 2 apples in the basket

there are 10 banana in the basket

Step-by-step explanation:

According to the Question,

let x for apple And y for banana So, x+y=12---Equation 1

Thus, 5x+7y=80 ----Equation 2

Now, (Equation 1) × 5 Subtract with (Equation 2) We get,

2y = 20 ⇒ y=10 (there are 10 banana in basket)

5x+70=80 ⇔ x=2(there are 2 apples in basket)

Answer:

D. Both meals are healthful choices

Answer:

1.5 hours

Step-by-step explanation:

Carlos = x

Maria = y

55x + 47y = 197

x + y = 3.8

x = 3.8 - y

55(3.8 - y) + 47y = 197

209 - 55y + 47y = 197

-8y = -12

y = 3/2 = 1.5

Answer:

Step-by-step explanation:

(4x+3)²÷(x-10)

=(16x²+24x+9)÷(x-10)

x-10) 16x²+24x+9 (16x+184

       16x²-160x

       -      +

   ------------------

               184x+9

               184x-1840

              -      +

             ----------------

                       1849

              ----------------

Hello,

The parabola has vertex=(0,1) and is passing through (1,3)

y=k(x-0)²+1

3=k*1+1 ==> k= 2

y=2*x²+1

Answer:

QP ≈ HG

Common side between those angles are QP and HG

so, they should be congruent to prove AAS

Answered by GAUTHMATH

Answer:

Step-by-step explanation:

I am sort. I have no idea

Answer:

The three straight paths intersect at different angles. In other words, the amountrequired to turn one path onto the other is different about each vertex. Thelargest angle is opposite the longest side, and the smallest angle is opposite theshortest side. If all three points of intersection look the same, the result is atriangle with three equal angles and three equal sides.

Step-by-step explanation:

Answer:

The random variable is discrete. :)

Step-by-step explanation: