Let f(x) = 5x ^ 4 - 2x ^ 2 - 8x + 3 and g(x) = - 7x ^ 4 + 6x ^ 3 + 10x ^ 2 - x + 4. What is f(x) + g(x) ?

Step-by-step explanation:

this is the answer

hope it helped!!!

Add the three items he wants to buy:

4.95 + 9.10 + 5.50 = 19.55

Subtract how much he has already:

19.55 - 2.30 = 17.25

He needs $17.25 more

Answer:

the mean is 83.6

Step-by-step explanation:

Answer:

The mean is 83.6 cm

Step-by-step explanation:

81 + 83 +84 + 85 + 85 = 416

416 divided by 5 = 83.6

Answer:

u = 5

Step-by-step explanation:

[tex]\frac{u + 7}{15} = \frac{4}{5}[/tex]

We want to solve for u. This means we need to isolate u on one side of the equation.

To do this, first multiply both sides by 15. This will cancel out the denominator on the left side.

[tex]u + 7 = (\frac{4}{5})(\frac{15}{1})[/tex]

Multiply the numerators and denominators separately.

4 • 15 = 60

5 • 1 = 5

[tex]u + 7 = \frac{60}{5}[/tex]

Simplify the fraction.

60 ÷ 5 = 12

u + 7 = 12

Subtract 7 from both sides.

u = 5

Check your work by plugging u = 5 back into the original equation.

[tex]\frac{5 + 7}{15} = \frac{4}{5}[/tex]

[tex]\frac{12}{15} = \frac{4}{5}[/tex]

[tex]0.8 = 0.8[/tex]

Your answer is correct.

Hope this helps!

Answer:

5 is your answer for u.

Step-by-step explanation:

Note the equal sign, what you do to one side of the equation, you do to the other.

First, multiply 15 and 5 to both sides of the equation (to get rid of the denominators):

[tex]15 * 5 * (\frac{u + 7}{15}) = (\frac{4}{5}) * 5 * 15\\5 * (u + 7) = 4 * 15[/tex]

First, distribute the 5 to all terms within the parenthesis. Also, simplify the right side by multiplying:

[tex]5 * (u + 7) = 4 * 15\\(5 * u) + (5 * 7) = (4 * 15)\\5u + 35 = 60[/tex]

Next, isolate the variable, u. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, subtract 35 from both sides, and then divide by 5 to isolate the variable, u:

[tex]5u + 35 = 60\\5u + 35 (-35) = 60 (-35)\\5u = 60 - 35\\5u = 25\\\\\\\frac{5u}{5} = \frac{25}{5} \\u = \frac{25}{5} = 5\\u = 5[/tex]

9514 1404 393

Answer:

  1a. E = 5×1.59^t

  1b. 32 GWh

  1c. 1986

Step-by-step explanation:

1a. An exponential model looks like

  f(t) = a·b^t

where 'a' is the value when t=0, and 'b' is the growth factor in the time period associated with t.

Here, 'a' is 5 (GWh), and 'b' is 1+59% = 1.59. Then the desired model is ...

  E = 5·1.59^t . . . . . where t is years after 1980, and E is in GWh.

__

1b. For t=4, we have ...

  E = 5·1.59^4 ≈ 31.96 ≈ 32

About 32 GWh was generated in 1984.

__

1c. The value of t for a given value of E is ...

  E/5 = 1.59^t . . . . divide by 5

  log(E/5) = t·log(1.59) . . . . take logarithms

  t = log(E/5)/log(1.59) . . . . divide by the coefficient of t

For E = 80, the years after 1980 are ...

  t = log(80/5)/log(1.59) ≈ 5.98

About 80 GWh were generated in 1986.

Answer:

it is D ithought sinse for x=0 y=0 and for x=4 y=-2 (-1/2 x4 =-2 )and others didnot give correct nbs

Answer:

-3

Step-by-step explanation:

Answer:

x = 12 radical 2 ithink these is ansewer

A. 43.96in?

Answer: [tex]46.42:18.57[/tex]

Step-by-step explanation:

[tex]5+2 = 765/7 × 5 = 46.4265/7 × 2 = 18.57∴ 65 in the ratio 5:2 = 46.42:18.57x^{2}[/tex]

The solution is 46.42857 : 18.57143

The proportion equation is given by 46.42857 : 18.57143 and

46.42857 + 18.5714365 = 65

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the number be represented as N

The value of N = 65

The proportion is 5 : 2

The total value of the ratio = 5 + 2 = 7

So , each value of the proportion is x = 65 / 7

On simplifying the equation , we get

Each value of the proportion is x = 9.2857142857

Now , the proportion equation is given by

The value of 5x = 5 ( 9.2857142857 )

The value of 5x = 46.42857

The value of 2x = 2 ( 9.2857142857 )

The value of 2x = 18.57143

And , 46.42857 + 18.5714365 = 65

Hence , the proportion is 46.42857 : 18.57143 or 5 : 2

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Answer:

The peach will way more then the apple

Hope this helps you ☜(ﾟヮﾟ☜)

The weight of the peach is greater than the weight of apple

In order to translate measurements of a particular amount between different units, a mathematical conversion factor is usually used. This modifies the measurement of the quantity without altering its effects.

The particular circumstances or the intended result control the conversion process. This may be governed by law, a contract, a list of technical specifications, or other publicly available standards.

A precise conversion from one system to another is necessary for some measures in order to maintain the precision of both the original measurement and the conversion.

Based on the connection between a particular pair of original units and a particular pair of target units, each conversion factor is chosen.

Given data ,

Let the weight of apple be = 85,000 milligrams

And , let the weight of the peach be = 0.15 grams

Now , from the unit conversion

1 gram = 1000 milligrams

And , 1 kilogram = 1000 grams

So , the weight of apple A = 85 grams

And , the weight of the peach P = 150 grams

Therefore , P > A

Hence , weight of peach is larger

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Answer: E ( (17)(50)/88 )

Step-by-step explanation:

(Row total * column total) / table total

Answer:

x=34.5

Step-by-step explanation:

(3x+18)° and 93° lie along a straight line. The angles in a straight line add up to 180. So:

3x+18+93=`80

2x=180-111

x=69/2

x=34.5

Answer:

Net of rectangular prism 9

Step-by-step explanation:

I took the test

Answer:

hmmm

Step-by-step explanation:

not sure man

Answer:

(x,y)=(-1.-2)

Step-by-step explanation:

Using the elimination method:

-27x+45y=-63

-35x-45y=125

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

-62x=62-->x=-1

-3*(-1)+5*6=-7-->y=-2

Answer:

36 is 12% of 300.

Step-by-step explanation:

Hopw this helped. Have an Amazing Day, Evening, or Night! : )

9514 1404 393

Answer:

  6.  x = 3

  8.  x = -7.5

Step-by-step explanation:

Put the number in place of the expression it is equal to, then solve for x.

__

6) g(x) = -x +5

  2 = -x +5 . . . . . . . . . g(x) is replaced by 2, because g(x) = 2

  x +2 = 5 . . . . . . . . . . add x to both sides

  x = 3 . . . . . . . . . . . . . subtract 2 from both sides

__

8) n(x) = -2x -21

  -6 = -2x -21 . . . . . n(x) is replaced by its equal: -6

  3 = x +10.5 . . . . . . divide both sides by -2

  -7.5 = x . . . . . . . . . subtract 10.5 from both sides

_____

Additional comment

We have shown a couple of ways these equations can be solved. You can separate the x-term and the constant terms before you divide by the x-coefficient, or you can do it after. In the first equation, we could have solved it ...

  2  -x +5

  -3 = -x . . . .  subtract 5

  3 = x . . . . . . multiply by -1

The way we did it avoids negative numbers.

Answer:

C. They are equal

Step-by-step explanation:

Both have the same volume 24

Both Figure have same Volume.

Every three-dimensional item requires some amount of space. The volume of this space is measured. Volume is defined as the space occupied by an object inside the confines of three-dimensional space. It is also known as the object's capacity.

We have,

Cone:

Volume of Cone = 1/3 πr²h

                            = 1/3 (3.14)(3)²8

                            = 75.36 unit³

Cylinder:

Volume of Cylinder = πr²h

                                = (3.14)(2)²6

                                = 75.36 unit³

Thus, Both figures have Equal volume.

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The total area is 45 square inches.

This question requires your knowledge about the area of compound shapes. For solving this, you should:

The figure is composed of:

Therefore, you should sum the area of these geometric figures for determining the given  area.

Area of each square =  a², where a=the length of the side.

Like, the length of the side is equal to 3 in, the area will be:

A_square= 3²=9 in².

You have two squares in the figure. Then, the total area for the squares is 9 + 9 =18 in²

Area of the rectangle = bh . The figure shows that:  the base = 9 in and the 3=8 in

Thus,  A_rectangle=bh= 9*3=27in²

A_total= A_squares+ A_rectangle

A_total= 18+27=45 in²

A_total= 45in²

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Answer:

An acute angle is an angle that measures less than 90 degrees. A triangle formed by all angles measuring less than 90˚ is also known as an acute triangle. For example, in an equilateral triangle, all three angles measure 60˚, making it an acute triangle.

hope this answer helps you.....

Answer:

The y intercept is c

The zeroes are the quadratic formula.

Step-by-step explanation:

Let x=0.

[tex]a(0) {}^{2} + b(0) + c[/tex]

[tex]0 + 0 + c[/tex]

[tex]c[/tex]

The y intercept is c

To find the zeroes,

This gonna to take a minute so the answer to the problem is the quadratic formula.

Answer:

8

Step-by-step explanation:

base×height÷2=area

2×8÷2=8

Answer:

Step-by-step explanation:

hello :

the sequence is geometric because : (1/4)/(-1/8) = (-1/8)/(1/16)=-2   = r

the nth term is :  An =A1 × r^(n-1)

a common ratio is : r  and A1 the first term

in this exercice :   r =2         A1 = 1/16

when : n =12 you have the  12rd term  A12

A12 = 1/16 × 2^(12-1)  = 1/16 × 2^(11)

Answer:

Simply take the number of miles each day and multiply it by the number of days. 57.9 miles × 7 days = 405.3 miles

Answer: 405.3 miles

Answer:

Total saving from First Store = $ 1.5 + $ 5 = $ 6.5

Total saving from Second Store = $ 5

Step-by-step explanation:

Given - Jason can buy a bag of dog food for $25 at two different stores. One store offers 6% cash back on the purchase plus $5 off his next purchase. The other store offers 20% cash back.

To find - (a)  Calculate the total savings from the first store, including the savings on the next purchase.  

              (b) Calculate the total savings from the second store.

Proof -

Given that,

Total cashback Jason get from First Store = 25×6% = 25×0.06 = $ 1.5

So,

Total saving from First Store = $ 1.5 + $ 5 = $ 6.5

Now,

Total cashback Jason get from Second Store = 25×20% = 25×0.20 = $ 5

So,

Total saving from Second Store = $ 5

Answer:

480. Since each one is 120 and there are 4 of them then its 120*4

Step-by-step explanation: