g(x) = x4 − 4x2 + 7x − 8?

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathbf{4\times \dfrac{2}{3}}[/tex]

[tex]\huge\textbf{Simplifying it:}[/tex]

[tex]\mathbf{4\times \dfrac{2}{3}}[/tex]

[tex]\mathbf{= \dfrac{4}{1}\times\dfrac{2}{3}}[/tex]

[tex]\mathbf{= \dfrac{8}{3}}[/tex]

[tex]\rightarrow\large\text{Finding out what is equal to: }\rm{\dfrac{8}{3}}\leftarrow[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[tex]\huge\text{Option A.}[/tex]

[tex]\mathbf{6\times \dfrac{2}{3}}[/tex]

[tex]\mathbf{= \dfrac{6}{1}\times\dfrac{1}{3}}[/tex]

[tex]\mathbf{= \dfrac{6\times1}{1\times3}}[/tex]

[tex]\mathbf{= \dfrac{6}{3}}[/tex]

[tex]\mathbf{= 2}[/tex]

~~~~~

[tex]\rm{\bf 2 \neq \dfrac{8}{3}}[/tex]

~~~~~~

[tex]\huge\text{Option B.}[/tex]

[tex]\mathbf{10\times \dfrac{1}{3}}[/tex]

[tex]\mathbf{= \dfrac{10}{1}\times\dfrac{1}{3}}[/tex]

[tex]\mathbf{= \dfrac{10\times1}{1\times 3}}[/tex]

[tex]\mathbf{= \dfrac{10}{3}}[/tex]

~~~~~~

[tex]\rm{\bf \dfrac{10}{3} \neq \dfrac{8}{3}}[/tex]

~~~~~~

[tex]\huge\text{Option C.}[/tex]

[tex]\mathbf{2\times\dfrac{1}{3}}[/tex]

[tex]\mathbf{= \dfrac{2}{1}\times\dfrac{1}{3}}[/tex]

[tex]\mathbf{= \dfrac{2\times1}{1\times3}}[/tex]

[tex]\mathbf{= \dfrac{2}{3}}[/tex]

~~~~~

[tex]\rm{\bf \dfrac{2}{3} \neq \dfrac{8}{3}}[/tex]

~~~~~

[tex]\huge\text{Option D.}[/tex]

[tex]\mathbf{8\times\dfrac{1}{3}}[/tex]

[tex]\mathbf{= \dfrac{8}{1}\times\dfrac{1}{3}}[/tex]

[tex]\mathbf{= \dfrac{8\times1}{1\times3}}[/tex]

[tex]\mathbf{= \dfrac{8}{3}}[/tex]

~~~~~

[tex]\rm{\dfrac{8}{3} = \dfrac{8}{3}}\large\checkmark[/tex]

~~~~~

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{Option\ D. 8\times \dfrac{1}{3}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

A general sinusoidal equation is:

y = A*sin(w*x + p) + M

where:

A is the amplitude

w is the angular frequency

p is the phase shift

M is the midline.

Now, we know that:

Amplitude must be 6, so A = 6

period is 2*pi/3

Remember that the frequency is the inverse of the period, then:

f = 1/T

f = 1/(2*pi/3) = 3/(2*pi)

And the angular frequency is 2*pi times the normal frequency, then:

w = 2*pi*f = 2*pi*(3/2*pi) = 3

w = 3

Here we not have information about the midline, so M = 0.

And we know that the phase shift is one unit to the left.

Remember horizontal translations:

for a function f(x), an horizontal translation of N units is written as:

g(x) = f(x + N)

if N > 0, then the translation is to the left

if N < 0 , then the translation is to the right,

Here we know that the phase shift is to the left, so p must be positive, and we know that the shift is 1 unit to the left, then:

p = +1

Replacing these in the equation we get:

y = 6*sin(3*x + 1) + 0

y = 6*sin(3*x + 1)

Answer:

Remainder = (-4)

Step-by-step explanation:

f(x) = 5[tex]x^{5} + 1[/tex]

x + 1 = 0

x = -1

f(-1) = 5*[tex](-1)^{5} + 1[/tex]

      = 5 * (-1) + 1

      = -5 +1

      = -4

Circumference of circle is 62.8 inches.

Step-by-step explanation:

Using Formula

Circumference of circle = 2 π r

Substitute the values

Circumference of circle = 2 × 3.14 × 10 inches.

multiply the numbers

Circumference of circle = 62.8 inches

Hence, the circumference of circle is 62.8 inches.

Answer:

1,985

Step-by-step explanation:

p = 590(2)^(7/4)

p = 1,985

Answer:

distance between the points is 8.602325267 units

Step-by-step explanation:

(5 , 8)=(x1 , y1)

(-2 , 3)=(x2 , y2)

use formula:[tex]\sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]

=[tex]\sqrt{(-2-5)^2 + (3-8)^2}[/tex]

=[tex]\sqrt{(-7)^2 + (-5)^2}[/tex]

=[tex]\sqrt{49 + 25}[/tex]

=[tex]\sqrt{74[/tex]

=8.602325267 units

Answer:

40 cupcakes

Step-by-step explanation:

Since 50% is chocolate and there is 20 chocolate then there are 40 cupcakes

Hope I helped!

Happy Pride Month

Answer:

40 cupcakes

Step-by-step explanation:

If 50% percent of the cupcakes are chocolate then 20 chocolate cupcakes are half of the total amount of cupcakes so multiply 20 by 2 and get 40 so there are 40 cupcakes in all.

Answer:

what kind of math is that?

Step-by-step explanation:

Answer:

96 yd^2

Step-by-step explanation:

Multiply l • w: 3 • 8 = 24 in

Convert inches to yards using the scale on the right:

24 • 4 = 96 yd^2

Answer:

use a midpoint formulae (X2+X1 /2 ; Y2 + Y1 /2 )

(-2+3/2 ; -2+4/2 )

X = 1/2 ; Y = 1

Answer:

i^3 = -i

Step-by-step explanation:

i^3

Rewriting as

i^2 *i

We know that i^2 = -1

-1 *i

-i

Answer: The surface area (SA) would be 62 m.

Step-by-step explanation: The formula for surface area of a rectangular prism is SA= 2(length × width + height × length + width × height). We can   substitute the length, width and height into the problem and get

SA= 2(3×5 + 2×5 + 3×2). Using the order of operations (PEMDAS) we can simplify the problem down to SA= 2(15 + 10 + 6), then add up what is in the   parentheses and get SA= 2(31), and 2×31=62.

Answer:

( k-4)(k+2)

Step-by-step explanation:

k² - 2k - 8

What 2 numbers multiply to -8 and add tp -2

-4*2 = -8

-4+2 = -2

( k-4)(k+2)

Refer to the attachment for steb-by-step explanation.

Answer:

Step-by-step explanation:

D is the correct answer

Answer:

The loss on the sale of 50 type M cars is $8000, and the loss is decreasing at the rate of $500 per 50 type M car sold.

Step-by-step explanation:

Given

[tex]L(50) = 8000[/tex]

[tex]L'(50) = -500[/tex]

Required

Interpret

From the question, we understand that:

[tex]x \to[/tex] Number of cars

[tex]L(x) \to[/tex] Profit on x cars

Using the above as a point of reference,

[tex]L'(x) \to[/tex] Rate of loss per x cars

So, the interpretations are:

[tex]L(50) = 8000[/tex]

A loss of 8000 on 50 cars

[tex]L'(50) = -500[/tex]

The loss rate is a reduction of 500 per 50 car

Answer:

x × y =3/4

Step-by-step explanation:

Product is the keyword and it is the answer to a multiplication equation. Thats why it is a multiplication symbol.

Have a great day! Late ik.

Lilac~

An algebraic expression for the given statement is 3/4 xy.

Given that, three-quarters is the product of two numbers x and y.

We need to write an algebraic expression for the given statement.

Algebraic expressions are the mathematical statement that we get when operations such as addition, subtraction, multiplication, division, etc. are operated upon on variables and constants.

Now, the product of two numbers x and y=xy

Three-quarters is the product of two numbers x and y=3/4 xy

Therefore, an algebraic expression for the given statement is 3/4 xy.

To learn more about an algebraic expression visit:

https://brainly.com/question/19245500.

#SPJ2

Answer:

Mean = 29

Step-by-step explanation:

Given that,

The numbers of cupcakes she sold are 23, 25, 32, 35, 36, 25, and 27.

We need to find the mean of the cupcakes for a week.

We know that,

Mean = (sum of observations)/(no. of observations)

[tex]\text{Mean}=\dfrac{23+25+32+35+36+25+27}{7}\\\\=29[/tex]

So, the mean of cupcakes is 29.

Answer:

5.24m

Step-by-step explanation:

volume of a cone = (1/3)πr²h

= (1/3)×(22/7)×1²×5

= 5.24m

Answer:

18.84956- using π

Or

18.84- using 3.14

Step-by-step explanation:

Multiple the diameter 6m by π or 3.14

Answer:

A = 28.26 C = 18.84

Step-by-step explanation:

1/2(d) = 1/2(6) = 3

3 is the radius/r

π is said to be in this equation as 3.14

Calculate Area:

A = 1/4πd^2

A = 1/4(π6^2)

A = 1/4(π36)

A = 1/4(113.04)

A = 28.6

Calculate Circumference:

C = 2πr

C = 2(π3)

C = 2(9.42)

C = 18.84

Answer:

107

Step-by-step explanation:

EFD + 135 = 180

EFD = 45

DEF + 28 + 45 = 180

DEF + 73 = 180

DEF = 107

Answer:

∠ DEF = 107°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

135° is an exterior angle of the triangle , then

∠ DEF + 28° = 135° ( subtract 28° from both sides )

∠ DEF = 107°

56 over 15

hope this help yoooooooooooooooooooo

Answer:

22/15

Step-by-step explanation:

(1/3 + 2/5) x (2 - 1/2) ÷ 3/4

=(5/15 + 5/15) x (4/2 - 1/2) ÷ 3/4

=11/15 x 3/2 ÷ 3/4

=11/15 x 3/2 x 4/3

=22/15

Hope this helps! Have a nice day!

Answer:

D: - 2/7

Step-by-step explanation:

The gradient of the line is -2/7 because:

3-1 =2

-4-3=-7

2/-7

Answer:

Step-by-step explanation:

84 cents divided by 14 inches = 6 cents per inch

48 cents divided by 6 cents = 8 inches

8 inches of wire can be bought for 48 cents

Answer:

f(g(2)) = 2

Step-by-step explanation:

g(2)

g is the inverse function of x, which means that [tex]g(2)[/tex] is the value of x for which [tex]f(x) = 2[/tex], which is [tex]x = -3[/tex], and thus, [tex]g(2) = -3[/tex]

f(g(2))

[tex]g(2) = -3[/tex]

Thus

[tex]f(g(2)) = f(-3)[/tex]

Looking at the table, when [tex]x = -3, f(x) = 2[/tex]

Thus: [tex]f(g(2)) = 2[/tex]

Answer:

15

Step-by-step explanation:

15 cubed (15×15×15) equals 3375

Answer:

5 + 9y

Step-by-step explanation:

When it says plus, it means +. When it says the product of 9 and y, it means 9 × y or 9y.

Answer:

A (-1)

Step-by-step explanation:

If you look on number line -1 is more left (smaller).

Answer:

-1

Step-by-step explanation:

-1 is the smallest because 0 and 3 is bigger than -1 because it is a negative number and -1/2 is -0.5 which is bigger than -1. So answer is -1

Answer:767

Step-by-step explanation: