Use the information to answer the following question.

The quadratic function f is represented by the equation f(x) = x2 - 2x + 2.



The table gives some of the values of the exponential function g.



x

-1

0

1

2

3

g(x)

-0.5

0

1

3

7



Which of the following statements is FALSE?

A.
f(3) > g(3)

B.
Both functions have a domain of all real numbers.

C.
The y-intercept of f(x) is greater than the y-intercept of g(x).

D.
The functions f(x) and g(x) have the same value at x = 1.

Answer:

[tex] 10 \: {units}^{2} [/tex]

Step-by-step explanation:

Area of triangle

[tex] = \frac{1}{2} \times base \times height \\ \\ = \frac{1}{2} \times 4 \times 5 \\ \\ = 2 \times 5 \\ \\ = 10 \: {units}^{2} [/tex]

Answer:

-1

Step-by-step explanation:

2(3+2x)=10

6+4x=10

6-10=4x

-4=4x

x=-1

Answer:

251.33

Step-by-step explanation:

have a good day! :)

Answer:

1. A

2. B

Step-by-step explanation:

They want to isolate x in both cases.

So the best choice for question 1 is A because if he adds 10 to both sides x will be positive.

On question 3 the best choice is subtracting 15 from both sides

Answer:

The answer is -0.5

Step-by-step explanation:

Answer:

Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a ...

Step-by-step explanation:

Answer: Your answer would be D:)  g(x) = 5x – 10

Answer:

X = 5

Step-by-step explanation:

use the graph:

look at y = -3 and find the corresponding X value (X = 5)

Answer:

1514 feet

Step-by-step explanation:

We solve using the trigonometric function of Sine

sin θ = Opposite/ Hypotenuse

θ = Angle of depression = 53°

Opposite = Vertical height = 1209 feet

Hypotenuse = x =??

Hence,

sin 53 = 1209 feet/x

Cross Multiply

sin 53 × x = 1209 feet

x = 1209 feet/ sin 53

x = 1513.8320107 feet

Approximately = 1514 feet

Therefore, the distance Lisa must ski to reach the lodge is 1514 feet

Answer:

6 x 3 x 1 = 18

4 x 8 x 3 = 96

18 + 96 = 114 ft cube

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (3, 19 )

m = [tex]\frac{19-7}{3-0}[/tex] = [tex]\frac{12}{3}[/tex] = 4

The line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = 4x + 7 → A

Given:

In triangle [tex]FJH,KG\parallel JH, FK=3, KJ=15,\text{ and }FG=4.[/tex]

To find:

The length of [tex]FH[/tex].

Solution:

Basic proportionality theorem(BPT): If a line intersect the two sides of a triangle and parallel to third side of the triangle, then it divides the sides proportionally.

In triangle [tex]FJH,KG\parallel JH[/tex].

Using BPT, we get

[tex]\dfrac{FK}{KJ}=\dfrac{FG}{GH}[/tex]

[tex]\dfrac{3}{15}=\dfrac{4}{GH}[/tex]

On cross multiplication, we get

[tex]3\times GH=4\times 15[/tex]

[tex]GH=\dfrac{60}{3}[/tex]

[tex]GH=20[/tex]

Now,

[tex]FH=FG+GH[/tex]

[tex]FH=4+20[/tex]

[tex]FH=24[/tex]

Therefore, the length of FH is 24 units.

The percentage of 7 green apples out of 17 total apples in means of getting one selected is 41%.

Therefore, finding the percentage of 10 out of 17 concludes that a then 58% chance of a red apple being chosen is present.

Answer:

11.59 cm²

Step-by-step explanation:

area of entire circle:

A = (3.14)(9.28²) = 270.41 cm²

area of 68.9° segment:

(68.9/360)(270.41) = 51.75 cm²

area of triangle:

the triangle is equilateral so both the corners opposite 68.9° are equal  so they are = (180 - 68.9)/2 = 55.55° each.

1/2 the base will be:

cos 55.55 = b/9.28

b = 5.25, full base =10.5 cm

sin 55.55 = height/9.28

height = 7.65 cm

A = 1/2(10.5)(7.65) = 40.16 cm²

area of chorded section = 51.75 - 40.16 = 11.59 cm²

Answer:

I believe 31 dollars and 95 cents

Step-by-step explanation:

Marie would earn $37.2 in 4 1/2 hour.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas. This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Marie charges a $10.75 base fee for each dog she walks,

and, additional $7.10 per hour that she walks the dog.

Each day she spends $5.50 on dog treats.

So, if Marie works for 4 1/2 hour then she can earn

= 10.75 + 4 1/2 x 7.1 - 5.5

= 10.75 + 4.5 x 7.1 - 5.5

= $37.2.

Hence, Marie would earn $37.2.

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ2

Answer:

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Answer:

1 mango = 11 dollars

1 apple = 13 dollars

Step-by-step explanation:

Let [tex]a[/tex] be equal to the cost of an apple.

Let [tex]m[/tex] be equal to the cost of a mango.

1) Create equations

An apple costs $2.00 more than a mango.

⇒ [tex]m+2=a[/tex] (the cost of a mango + 2 dollars = cost of an apple)

The total cost of three apples and a mango is $50.00.

⇒ [tex]3a+m=50[/tex] (3 apples*the cost of 1 apple + cost of 1 mango = 50 dollars)

2) Solve for m and a

[tex]3a+m=50[/tex]

Substitute a with [tex]m+2[/tex]

[tex]3(m+2)+m=50\\3m+6+m=50\\4m+6=50[/tex]

Subtract both sides by 6

[tex]4m+6-6=50-6\\4m=44[/tex]

Divide both sides by 4

[tex]\frac{4m}{4}=\frac{44}{4} \\m=11[/tex]

Therefore, the cost of 1 mango is 11 dollars.

[tex]m+2=a[/tex]

Substitute m with 11 to solve for a

[tex]11+2=a\\13=a[/tex]

Therefore, the cost of 1 apple is 13 dollars.

I hope this helps!

Step-by-step explanation:

f(x)=17-5x

if x=x+h then you can insert x+h for x in the equation of f(x)

f(x)=17-(x+h)-5x

distrubute and simplify

f(x)=17-6x-h

So that line contains the points where 17-5x and x+h intersect.

Hope that helps :)

Answer:

2

Step-by-step explanation:

Add 4.2 to both sides

x = 2

Answer:

1.x=20

<L=37

Step-by-step explanation:

(x+8)+(2x-3)+(6x-5)=180

x+8+2x-3+6x-5=180

9x-8+8=180

9x=180

x=180/9

x=20

<L=2x-3

<L=2*20-3

<L=40-3

<L=37

Answer:B, C, D

Step-by-step explanation:

I did the USATESTPREP

Answer:

1) 24 - 40 + 34 = 18

2) 24 - 22 - 34 = -32

3) 12  + 0 -15 = -3

4) 12 + 30 -15 = 27

5) -18 + 76 -34 = 24

Step-by-step explanation:

The given equations are;

1) 24 _ 34 = 18

We have;

18 - (34 + 24) = -40

Therefore;

24 - 40 + 34 = 18

2) 24 _ - 34 = -32

We have;

-32 - (24 - 34) = -22

Therefore;

24 - 22 - 34 = -32

3) 12 _ -15 = -3

We have;

-3 - (12 - 15) = 0

Therefore;

12  + 0 -15 = -3

12 - 15 = -3

4) 12 _ -15 = 27

We have;

27 - (12 - 15) = 30

Therefore;

12 + 30 -15 = 27

5) -18 _ -34 = 24

We have;

24 - (-18 - 34) = 76

Therefore;

-18 + 76 -34 = 24.

1. 24 x 34=18

2. 24 ➗ -34=-32 (i dont have the division thing lol)

3. 12 - 15=-3

4. 12 - (-15)=27

5.  -18 x -34=24

Answer:

6) x = 36°, y = 18°

7) z = 7°

Step-by-step explanation:

6) 2x + 3x = 180°

5x = 180°

x = 36°

4y = 2x = 72°

y = 18°

7) 2z + 4 = 4z - 10

2z = 14

z = 7

Answer:

- 2x - 1

Step-by-step explanation:

[tex]g(x)=x-3 \\ f(x) = -2x + 2 \\ g(f(x)) = ( - 2x + 2) - 3 \\ g(f(x)) = - 2x + 2 - 3 \\ g(f(x)) = - 2x - 1[/tex]

Answer:

a=−1/2

Step-by-step explanation:

Answer:

PX = 2√11

Step-by-step explanation:

here's your solution

==> ZX = 12 m

==> ZP = 10 m

==> by using Pythagoras theorem

==> PX^2 = ZX^2 - ZP^2

==> PX^2 = 12^2 - 10^2

==> PX^2 = 144 - 100

==> PX^2 = 44

==> PX = √44

==> PX = 2√11

hope it helps

Answer:

sqrt65, or 8.06225775

Step-by-step explanation:

390/6=65

sqrt65=8.06225775

Answer:

henry gets 231

Step-by-step explanation:

my head

Answer:

231

Step-by-step explanation:

Let's consider that Gavin got X pounds.

Then Henry gets 3 times as much as Gavin => 3X

And Mark gets twice as much as Henry => 2 * 3X

Together they get 770, so:

X + 3X + 2*3X = 770

10X = 770  =>  X = 77

As we mentioned, Henry gets 3X, so

3X = 3 * 77 = 231

Answer:

See below

Step-by-step explanation:

If you graphed x-2=5, you would see a vertical line crossing the point x=7, as shown in the graph because 7-2=5.