Given the functions: f(x)=4x^2-2x+5 and g(x)=x^2+7x=8


1. Find f(x)+g(x)

2. Find g(x)-f(x)

3. Find 5f(x)+g(x)

4. Find g(x)-4f(x)

5. Find f(-2)-g(3)

6. Find g(-2)-f(3)

Answer:

For -7x^2 - 6x + 9: [tex]-\frac{3+6\sqrt{2} }{7}[/tex] [tex]-\frac{3-6\sqrt{2} }{7}[/tex]

For 3x^2 -x + 7: [tex]\frac{x+i\sqrt{83} }{6}[/tex] [tex]\frac{x-i\sqrt{83} }{6}[/tex]

Step-by-step explanation:

Find the zeros using the quadratic formula. Solution attatched. I apologize for poor handwriting. Also, there should be a negative sign before the answer to the first expression in the solution.

Answer:

anong grade po yan?

baka alam ko po

Answer:

A

Step-by-step explanation:

The equation of the line y=7 has a y-intercept at (0,7).

Hope this helps!

~Just a joyful teen

[tex]GraceRosalia[/tex]

Answer: I believe 47

Step-by-step explanation:

11 + 9 equals 20 and you keep adding 9

:)

Answer:

mean: 14. 4 .     Median: 13.5   Mode: 14

Step-by-step explanation:

Answer:

2343.

have a nice day

Step-by-step explanation:

Answer:

... anything less than 2.98??

Step-by-step explanation:

The number of miles traveled by Kai's family as required in the task content is; 73 miles.

It follows from the task content that the number of miles traveled by Kai's family on the third day is to be determined.

On this note, since the family travelled 365 miles on the first day and travelled 20% farther on the third day;

The number of miles traveled on the third day can be modelled as;

= 20% of 365

= (20 / 100) × 365

= 73 miles.

On this note, the number of miles traveled on the third day is; 73 miles.

Read more on percentages;

https://brainly.com/question/19247356

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Answer:

The length is 6 feet

Step-by-step explanation:

Answer:

8.9(2)

Step-by-step explanation:

8.9/2 is division.

8.9+2 is addition.

(8.92) is just adding 2 onto 8.9 which extends the number, not multiplies.

Answer:

8.9(2)

Step-by-step explanation:

Answer:

Slope: 6/5

Step-by-step explanation:

For this problem, you'll need to apply the slope formula Y2-Y1

                                                                                             X2-X1.

Let's now assign each number their position in the formula. The first set of parentheses, (-2,-1) is going to translate to (x1,y1). (3,5) will translate to (x2,y2). Now, when you put it all together, you get 5-(-1) / 3-(-2). This would give you 6/5. That would be your slope. You can then proceed to graph it. Hope this helped! :))

Answer:

111base2multply(1111base2+1010base2) = 0

Answer:

48 kilometers per hour, 192 kilometers in four hours

Step-by-step explanation:

Answer:

5z

Step-by-step explanation:

because I leaned it at school

Answer:

the exponent is 8

Step-by-step explanation:

18 is being raised to the 8th power (AKA- being multiplied by itself 8 times)

btw- 18 is the base

hope this helps :)

please crown me brainliest!!!

The exponent is 8. An exponent is represented by the superscript above/ of the number.

Answer:

s= 7 inches

Step-by-step explanation:

Let the side length be x

Area of square = side × side OR [tex]side^{2}[/tex]  (lets put x in place of side)

                   [tex]49^{2}[/tex] = x

                      7 = x

Side length = 7 inches                        

Answer:

7 inches

Step-by-step explanation:

Area of a square = 49 sq. inches

side *side = 49

       side = [tex]\sqrt{49}=\sqrt{7*7} = 7 \ inches[/tex]

0.174

Hope it helps yah (◕ᴗ◕✿)

Answer:

3. -2 4/7   4. 40   5. -8   6. 7/8  

Step-by-step explanation:

I have to finish a quiz so i cant answer all of them right now.

Answer:

Answer:

The identity is: cos(x+y)cos(x-y) = cos^2(x) - sin^2(y).  Answer to part (b) is 1/4

Step-by-step explanation:

cos(x+y) = cos(x) cos(y) - sin(x)sin(y)

cos(x-y) = cos(x)cos(y) + sin(x)sin(y)

For convenience, let A = cos(x) cos(y), and B = sin(x) sin(y).

Thus,

cos(x+y) = A - B

cos(x-y) = A + B, and

cos(x+y) cos(x-y) = (A-B)(A+B) = A^2 - B^2 = cos^2(x) cos^2(y) - sin^2(x)sin^2(y) = (1 - sin^2(x))(1 - sin^2(y)) - sin^2(x) sin^2(y) =

1 - sin^2(x) - sin^2(y) + sin^2(x) sin^2(y) - sin^2(x) sin^2(y) =

1 - sin^2(x) - sin^2(y) =

cos^2(x) - sin^2(y)

(b) Let x=45, and y=30, so we have that

cos(75)cos(15) = cos(45+30) cos(45-30) =

cos^2(45) - sin^2(30) =

(sqrt(2)/2)^2 - (1/2)^2 =

2/4 - 1/4 =

1/4

Answer:

Step-by-step explanation:

Thus this area is 12^2 which is 144 sq. in. The area for the circle is dependent on the radius which would be half the diameter or length of the square. The formula for the area of a circle is πr^2 so 36π is the area of the circle

Answer:

20 purple unicorns

Step-by-step explanation:

If the gray suitcase weighs 11 lb more than the pink suitcase, the pink suitcase weighs 5 lb than the blue suitcase, and the total of 3 suitcases is 127 lb, then the blue suitcase weighs 35.3 lb

Let the gray suitcase be represented by g

Let the pink suitcase be represented by p

Let the blue suitcase be represented by b

The gray suitcase weighs 11 lb more than the pink suitcase

g    =   p   +   11........(1)

The pink suitcase weighs 5 lb than the blue suitcase.

p   =  b  +  5

b  =  p  -  5...........(2)

Total of 3 suitcases = 127 lb

p  +  b  +  g    =  127............(3)

Substitute equations (1) and (2) into equation (3)

p  +  p  - 5 + p  +  11   =  127

3p  +  6   =  127

3p   =  127  -  6

3p   =  121

p  =  121/3

p  = 40.3 lb

Substitute p = 40.3 into equation (2)

b = p - 5

b  = 40.3  - 5

b  =  35.3

The blue suitcase weigh 35.3 lb

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Answer:

Step-by-step explanation:

Complementary is adding up to 90 degrees. depends what the other angle is/one of the pair. Subtract that by 90 and you find the other angle.

Answer:

y=-4/3x-9

=

−

4

3

x

−

9

Step-by-step explanation:

First we need to get the slope of the perpendicular line

The slope of a perpendicular line is equal to the negative inverse of the slope of the given line

y

=

m

x

+

b

y

=

3

4

x

−

2

⇒

m

=

3

4

m

'

=

−

1

m

⇒

m

'

=

−

1

3

4

⇒

m

'

=

−

4

3

Now that we have the slope, we need to find the y-intercept.

To find the y-intercept, we need to plug-in values of  

x

and  

y

that the line passes through

y

'

=

m

'

x

'

+

b

⇒

y

'

=

−

4

3

x

'

+

b

⇒

7

=

−

4

3

(

−

12

)

+

b

⇒

7

=

16

+

b

⇒

b

=

−

9

Therefore, the equation of the line is

y

=

−

4

3

x

−

9

Answer:

yes

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

If you graph this function, you'll find that it looks like a vertical line, straight up and down. In a function, each x-value has to have exactly one y-value. In this function, however, any y-value you plug in gives you the same x-value: -2.

The one x-value, -2, has an infinite number of corresponding y-values, so this is definitely not a function.

Answer:

-2

Step-by-step explanation:

-10 = -6 + 2x

-10+6=2x

-4÷2x

-2=x