What is the axis of symmetry of h(x) = 6x2 − 60x 147? x = −5 x = −3 x = 3 x = 5

Answer:

the half liter

Step-by-step explanation:

200 mL :

4,000 mL in 4 liters.

4,000/200=20

20x1.19=23.8

half liter :

4x2=8

8x2.86=22.88

Answer:

y = 4"x +2

Step-by-step explanation:

We choose negative 4 because the graph lies below the asymptote and we chose positive 2 because the horizontal asymptote is on the positive section of the y axis

Answer:

5/8

Step-by-step explanation:

1/5 x 5

1

1/8 x 5

5/8

Answer:

e

Step-by-step explanation:

the sum of 24 and 7 is 24 + 7 and multiplying this by 5 gives

5 × (24 + 7)

Answer:

e.

Step-by-step explanation:

24 + 7 = 31

5 * 31 = 155.

Answer:

(-3.5, 2.3)

Step-by-step explanation:

Let the point P have coordinates : (x, y)

The line (from R to Q) is divided in the ratio :

Coordinates of :

Using section formula :

The coordinates of the point P are : (-3.5, 2.3)

Answer:

-3.5, 2.3

Step-by-step explanation:

Answer:

From inspection of the diagram, the pattern is:

Step 1:      1² + 1

Step 2:    2² + 2

Step 3:    3² + 3

Let x = step number

Let y = total number of squares

Therefore, the equation that represents the relationship is:  

y = x² + x

x² relates to the large square made up of small squares (top part of the image of each step)

x relates to the rectangle of small squares (bottom part of the image of each step)

y is the total number of small squares in the image of each step.

The pattern is

More simply

So for an integer n

#b

n² is pair of boxes at top side

n is boxes underneath

Answer:

The bottom graph on the right, check the image below:

Explanation:

Substitute the x value with 1,

f(1)=1(1+2)=3

f(2)=2(2+2)=8

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

f(-2)=-2(-2+2)=0

Answer:

adjacent exterior angles

x equals 80

Answer:

y = 4, x = 0

y = 1, x = -1

Step-by-step explanation:

[tex]y = 3 {x}^{2} + 6x + 4[/tex]

[tex]y = - 3 {x}^{2} + 4[/tex]

[tex] \: [/tex]

Since both of them are equal to y, we can just equate them and solve.

[tex] \: [/tex]

[tex]3 {x}^{2} + 6x + 4 = - 3 {x}^{2} + 4[/tex]

[tex]3 {x}^{2} + 6x + 4 + 3 {x}^{2} - 4 = 0[/tex]

[tex]6 {x}^{2} + 6x = 0[/tex]

[tex]6x(x + 1) = 0[/tex]

[tex]6x = 0[/tex]

[tex]x = 0[/tex]

[tex] \: [/tex]

[tex]x + 1 = 0[/tex]

[tex]x = - 1[/tex]

[tex] \: [/tex]

[tex]for \: x = 0[/tex]

[tex]y = 3( {0})^{2} + 6(0) + 4[/tex]

[tex]y = 4[/tex]

[tex] \: [/tex]

[tex]for \: x = - 1[/tex]

[tex]y = 3( { - 1})^{2} + 6( - 1) + 4[/tex]

[tex]y = 1[/tex]

[tex] \: [/tex]

[tex]values \: of \: x \: and \: y \: for \: the \: system \: of \: equations \: are[/tex]

y = 4, x = 0

y = 1, x = -1

The system of equations has been solved and the solution set of the equation are (-1,1) and (0,4).

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

The first equation given as,

y = 3x² + 6x + 4

The second equation given as,

y = -3x² + 4

Equate the value of y from both equation as,

3x² + 6x + 4=-3x²+4

3x²+3x²+6x+4-4=0

6x²+6x=0

6x(x+1)=0

x=0:x=-1

Put these values of x, in first equation,

y = 3(-1)^2 + 6(-1) + 4

y = 3 - 6 + 4

y=1

Put 0 on the place of x,

y = 3(0)^2 + 6(0) + 4

y = 0 +0+ 4

y=4

Thus, the system of equations has been solved and the solution set of the equation are (-1,1) and (0,4).

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Answer: The answer you selected in the picture is correct.

Step-by-step explanation:

There will be no heat transfer from the nickel to the water in the glass since heat transfer is purely a function of temperature difference.

there will be no transfer of heat from the nickel to the water in the glass

The missing values in the diagram given that figure ABCD is a dilation of figure KLMN, are:

AB = 4

LM = 20

∠B = 98.87°

∠N = 141.87°

Dilation is a form of transformation whereby a new figure is formed by enlarging or reducing an original figure by a scale factor. After dilation, the corresponding sides of both figures are proportional, while the corresponding angles of both figures are congruent to each other.

Find AB:

AB/KL = DC/NM

Plug in the values

AB/10 = 4/10

AB(10) = 4(10)

AB = 40/10

AB = 4

Find LM:

BC/LM = DC/NM

Plug in the values

8/LM = 4/10

8(10) = 4(LM)

LM = 80/4

LM = 20

∠B = ∠L = 98.87°

∠N = ∠D = 141.87°

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[tex]x=10[/tex]

[tex]y=20[/tex]

Note:

(sin, cos, tan) Formulas:

[tex]sin(\theta)=\dfrac{opposite}{hypotenuse}[/tex]

[tex]cos(\theta)=\dfrac{adjacent}{hypotenuse}[/tex]

[tex]tan(\theta)=\dfrac{opposite}{adjacent}[/tex]

To find the value of [tex]x[/tex]

1) Using [tex]tan[/tex] formula

[tex]tan(\theta)=\dfrac{opposite}{adjacent}[/tex]

[tex]tan(60°)=\dfrac{10\sqrt{3}}{x}[/tex]

2) Multiply both sides by [tex]x[/tex]

[tex]xtan(60°)=\dfrac{10\sqrt{3}}{x}\times x[/tex]

[tex]xtan(60°)=10\sqrt{3}[/tex]

3) Divide both side by [tex]tan(60°)[/tex]

[tex]\dfrac{xtan(60°)}{tan(60°)}=\dfrac{10\sqrt{3}}{tan(60°)}[/tex]

4) Calculate

[tex]x=\dfrac{10\sqrt{3}}{tan(60°)}[/tex]

[tex]x=10[/tex]

To find the value of [tex]y[/tex]

1) Using [tex]cos[/tex] formula

[tex]cos(\theta)=\dfrac{adjacent}{hypotenuse}[/tex]

[tex]cos(60°)=\dfrac{10}{y}[/tex]

2) Multiply both sides by [tex]y[/tex]

[tex]ycos(60°)=\dfrac{10}{y}\times y[/tex]

[tex]ycos(60°)=10[/tex]

3) Divide both side by [tex]cos(60°)[/tex]

[tex]\dfrac{ycos(60°)}{cos(60°)}=\dfrac{10}{cos(60°)}[/tex]

4) Calculate

[tex]y=\dfrac{10}{cos(60°)}[/tex]

[tex]y=20[/tex]

The domain of the logarithm function is (0, ∞) and the range of the logarithm function will be (-∞, ∞)

The domain means all the possible values of the x and the range means all the possible values of the y.

The table is shown below.

Let the logarithm function with the variables x and y. Then we have

y = logₐ x

At x = 25, the value of y will be 2. Then the value of a will be

2 = logₐ 25

2 = 2 logₐ 5

1 = logₐ 5

Then 1 can be written as

1 = log₅ 5

Then on comparing, the value of a will be

a = 5

Then the logarithm function will be

y = log₅ x

Then the domain of the logarithm function is (0, ∞) and the range of the logarithm function will be (-∞, ∞)

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Answer:

65 times in 75 seconds

Step-by-step explanation:

52 × 75 = 3,900

3,900 ÷ 60 = 65

Answer:

D

Step-by-step explanation:

114 hundredths

Answer:

42 hundredths

Step-by-step explanation

Normally do 34+8 then add the hundredths since 34 hundredths is the bigger value

Answer:

363

Step-by-step explanation:

11x11=121

((11x11)÷2)x4=11x11x2=121x2=242

121+242=363

The equation in slope-intercept form is y = (5/4)x + 7.

We have,

The slope-intercept form of a linear equation is given by y = mx + b, where "m" is the slope and "b" is the y-intercept.

To write the equation 12y - 15x = 84 in slope-intercept form, simplify the fractions and solve for y:

12y = 15x + 84

y = (15x + 84) / 12

y = (5x + 28) / 4

y = (5/4)x + 28/4

y = (5/4)x + 7

Thus,

The equation in slope-intercept form is y = (5/4)x + 7.

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63 cm2

hope it helps

you

63 CM answer

Answer:

2x+4

Step-by-step explanation:

Trust me

Answer:

The Answer is: -3.

Step-by-step explanation:

I just took the quiz and I got it right!!

A factor of the polynomial f(x) = 6x⁴ - 21x³ - 4x² + 24x - 35 is 2x - 7

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the polynomial:

f(x) = 6x⁴ - 21x³ - 4x² + 24x - 35

The polynomial can be further simplified to:

f(x) = (2x - 7)(3x³ - 2x + 5)

A factor of the polynomial f(x) = 6x⁴ - 21x³ - 4x² + 24x - 35 is 2x - 7

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Answer:

2x-7

Step-by-step explanation:

TLDR verified answer, correct on edge 2023

Answer:

Where is the quadrilateral? You haven't inserted a picture.

Answer:

196 in^3

Step-by-step explanation:

Volume of pyramid = 1/3 base * height

                = 1/3  (7x7) (12) = 196  in^3

The solution set of the inequality is represented as [911,∞)

let

x be the number of cans collected by Shane.

Therefore,

Since,  Abha collected 178 more cans than Shane did.

Therefore,

Abha  = 178 + x

Hence,

Also, Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling.

Therefore,

x + 178 + x ≥ 2000

2x + 178 ≥ 2000

2x ≥ 2000 - 178

2x ≥ 1822

x ≥ 1822 / 2

x ≥ 911

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