F(x)= | x-4 | - 9, find f(-7)

Answer:

The answer is option C

Step-by-step explanation:

f(x) = x³ + 2x² + 3x + 4

To find f(-1) substitute the value of x that's

- 1 into f(x)

That's

We have the final answer as

Hope this helps you

Answer:

The graph of the parabola is represented by the quadratic function

y = a( x - p )2 + q which has an axis of symmetry represented by the equation of the vertical line x = p.

Step-by-step explanation:

Answer:

x=-b/2a

Step-by-step explanation:

Answer:

0.17

Step-by-step explanation:

0.017 times 10 will equal to 0.17 as you will need  to move the decimal point forward by one

Answer:

[tex]x = -4, y =-8[/tex] is the solution to the system of equations.

Step-by-step explanation:

Given the system of equations as:

[tex]y= \dfrac{1}{2}x-6[/tex]

and

[tex]x =-4[/tex]

To find:

The solution to the system of equations = ?

Solution:

Here, we are given two equations and two variables i.e. [tex]x[/tex] and [tex]y[/tex].

So, we can solve the system of equations for the values of [tex]x[/tex] and [tex]y[/tex].

Let us first consider the 2nd equation.

[tex]x =-4[/tex] we already have the value of [tex]x[/tex].

Now, let us put the value of [tex]x[/tex] in the 1st equation to find the value of [tex]y[/tex].

[tex]y= \dfrac{1}{2}x-6[/tex]

[tex]\Rightarrow y= \dfrac{1}{2}\times (-4)-6\\\Rightarrow y= -\dfrac{1}{2}\times 4-6\\\Rightarrow y= -2-6\\\Rightarrow \bold{y =-8}[/tex]

So,  the solution to the system of equations is:

[tex]x = -4, y =-8[/tex]

Answer:

17 bottles

Step-by-step explanation:

full case: 24

he added 7 bottles to fill a case

24-7=17

Answer:

square root of 25 because it equals 5

Step-by-step explanation:

Because the square root of the other they don’t replete or terminate.

square root of 22 is 4.6904157...

square root of 23 is 4.7958315...

square root of 24 is 4.8989794...

square root of 25 is 5

Answer:

the inverse is the third choice

Answer:

510,064,471,910,000 m² or 5.1 x 10^14 m²

Step-by-step explanation:

4πr²

if the diameter is 12742, then the radius is 6371

4π(6371)²

510,064,471.91 km²

510,064,471,910,000 m²

Answer:

510064471909788 m²

Step-by-step explanation:

diameter=12742  so the radius r=12742/2=6371=6371*1000=6371000

A=4πr²

A=4π(6371000)²

A=162358564000000π =510064471909788 m²

Answer:

Amount per kilogram, undercharged or overcharged is 0.50

Step-by-step explanation:

Given:

cost of T-bone steaks per pound = $ 15.99

weight listed on package = 5.77 lb

Accuracy of the scale = 1/32 lb

To find:

Amount undercharged or overcharged

Solution:

Let x represent the weight of the package.

Then compute the error in the weight

| x - 5.77 | < 1 / 32

This makes an absolute value inequality

If an inequality is given in the form | x | < a then solution is in the form:

–a < x < a.

If an inequality is in the form | x | > a, then solution splits in the form:

x < –a or x > a.

compute the amount undercharged or overcharged:

First multiply the above inequality by cost of T-bone steaks per pound

15.99 |x - 5.77| < 15.99 (1 / 32)

15.99 |x - 5.77| < 15.99(0.03125)

15.99 |x - 5.77| < 0.4996875

15.99 |x - 5.77| < 0.50

Hence the amount undercharged or overcharged is $0.50

Answer:

[see below]

Step-by-step explanation:

Volume of a triangular prism is: [tex]V=\frac{1}{2}bhl[/tex]

We are given the base of 5, the length of 12, and the height of 8. All measurements are in meters.

[tex]V=\frac{1}{2}(5*12*8)\\\\V=\frac{1}{2}(480)\\\\V=240[/tex]

The volume of the prism should be 240 square meters.

Answer:

V = 240 m^3

Step-by-step explanation:

The volume of a triangular prism is

V = Bh  where B is the area of the base and h is the height

B = the area of the triangular base

B = 1/2 bh

B = 1/2 *5*12

B = 30 m^2

The volume is

V = 30 * 8

V = 240 m^3

Answer:

Step-by-step explanation:

[tex]16\:girls \\14\:boys\\\\Probability = \frac{Event}{Total \:possible\:outcome}\\\\ Event=16\\\\ Total\:possible\:outcome = 16+14=30\\\\P = \frac{16}{30}\\ \\Probability = \frac{8}{15}[/tex]

Answer:

1258

Step-by-step explanation:

SI = (P x R x T) / 100

SI = Simple Interest

P = Principal

R = Rate

T = Time

SI = (850 x 8 x 6)/100

=> SI = 85 x 8 x 6 /10

=> SI = 680 x 6 /10

=> SI = 68 x 6

=> SI = 408

The total amount after 6 years = Principal + Simple Interest

=> Total Amount = 850 + 408

=> Total Amount = 1258

After 6 years, the amount in account is 1258.

Answer:

if t is 2 then coefficient will be 3

if t is 3 then coefficient will be 2

Step-by-step explanation:

18 + ?t = 24

subtracting 18 from sides

18 + ?t - 18= 24 -18 = 6

=> ?t = 6 = 2*3

as value of both ? and t is not given thus both can take value of 2 and 3

hence,

if t is 2 then coefficient will be 3

if t is 3 then coefficient will be 2

Answer:

the answer is 123

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

f(-1)=(-1)²+1=1+1=2

Answer:

0.04%

Step-by-step explanation:

8.04-8.00

0.4/100

0.04%

Answer:

B

Step-by-step explanation:

The problem is simple because they use powers of 10. When something is multiplied by a power of ten, it is essentially moving the decimal point over for every power.

9.46x10^12= 9460000000000

4.0x10^13= 40000000000000

Although 4 itself is less than 9.46, since is is being multiplied by 10^13, it will be one decimal place bigger.

Answer:

130 meters squared

Step-by-step explanation:

14-6=8

8*13/2=52

14*13=182

182-52=130 meters

Answer:

130 square metres

Step-by-step explanation:

The shaded area is a trapezium.

Therefore, the rule for its area is base1+base2/2xh

base1=6

base2=14

height = 13

Therefore, 6+14/2 x 13

= 130

Hope that helped!!! k

====================================================

Explanation:

The GCF of the coefficients {6, -42, 14} is 2 as it is the largest factor found in each of the three values.

----------

For the variable portions, we can

Each time we see z^3 show up, so this is the largest common factor among the three variable terms.

----------

The two results we got were 2 and z^3

Putting the two results together, we end up with the overall GCF of 2z^3

Answer:

-5 = p

Step-by-step explanation:

-7 - p= p +3

Add p to each side

-7 - p+p= p+p +3

-7 = 2p+3

Subtract 3 from each side

-7-3 = 2p+3-3

-10 = 2p

Divide each side by 2

-10/2 = 2p/2

-5 = p

Answer:

gf (-2) = 11

Step-by-step explanation:

[tex]f(x) = 1 - 3x \\ g(x) = x + 4 \\ gf( - 2) = ..[/tex]

[tex]gf = .. \\ g(1 - 3x) \\ = 1 - 3x + 4 \\ = - 3x + 5 \\ gf = - 3x + 5[/tex]

[tex]gf( - 2) = - 3( - 2) + 5 \\ = 6 + 5 = 11[/tex]

Answer:

Method 1 (using the area of a whole circle and dividing by 4)

First work out the area of the whole circle by substituting the radius of 8cm into the formula for the area of the circle:

A = π ×r²

= π ×8²

= 64π (leave the answer as an exact solution as this need to be divided by 4).

So all you need to do now is divide the answer by 4:

Area of a quadrant = 64π ÷4 = 16π = 50.3 cm² to 3 significant figures.

Method 2 (using ¼ πr²)

Substitute r = 8 directly into the formula A = ¼ πr².

A = ¼ πr².

A = ¼ × π × 8².

A = 50.3 cm²

As you can see it gives exactly the same answer as method 1.

Answer:

64pi / 4 = 16pi, or 50.27

Step-by-step explanation:

We use the area formula:

π * r^2 = Area

Substitute in 8 for r to get 64pi

Then all you have to do is divide 64pi by 4 to find a quarter of the area of the circle, which is 16pi. Or if you want rounded to nearest tenth, 50.27

Answer:

length = 15 cm

Width = 12 cm

Step-by-step explanation:

Let width = w cm

Length = w + 3

Perimeter of rectangle = 54 cm

2 * (length + width) = 54

2 * (w+3 + w) = 54   {Add like terms}

2 *(2w + 3) = 54

2*2w + 2 * 3 = 54

4w + 6   = 54

Subtract 6 form both sides

4w = 54 - 6

4w = 48

Divide both sides by 4

w = 48/4

w = 12 cm

Length = 12 + 3= 15 cm

Answer:

Length = 15cm

Step-by-step explanation:

let width be x

length = x+3

Perimeter = 2(l + b)

Perimeter = 54cm

equating:

2(x + x + 3) = 54

2(2x +3) = 54

4x + 6 = 54

4x = 54 - 6

4x = 48

x = 48/4 = 12

width = x = 12cm

length = x +3 = 12 + 3 = 15cm

Answer:

ar some point pattern A will have the same numbers as pattern B as it moves along like if you add 3 for 2 more times in pattern A it will have 24 and so on..

Answer:

cow = 4

pig = 5

chicken = 9

horse = 3

horse + chicken - pig =7

Answer:

0

Step-by-step explanation:

Answer:

Step-by-step explanation:

m∠1+∠2=180

2x+40+2y+40=180

2x+2y=180-80

2x+2y=100

x+y=50

x=50-y

m∠1=m∠3

2x+40=x+2y

2x-x=2y-40

x=2y-40

2y-40=50-y

2y+y=50+40

3y=90

y=30

x=50-y=50-30=20

m∠1=2x+40=2×20+40=80°

m∠2=2y+40=2×30+40=60+40=100°

m∠3=x+2y=20+2×30=80°

Answer:

[tex] X = 70.5 [/tex]

Step-by-step explanation:

The law of Cosine given can be written in another form to make the Cos(C) the subject of the formula. Which is: [tex] cos(C) = \frac{a^2 + b^2 - c^2}{2ab} [/tex]

Where,

a = 20 ft

b = 18 ft

c = 22 ft

C = X

[tex] cos(X) = \frac{20^2 + 18^2 - 22^2}{2*20*18} [/tex]

[tex] cos(X) = \frac{400 + 324 - 484}{720} [/tex]

[tex] cos(X) = \frac{240}{720} [/tex]

[tex] cos(X) = 0.3333 [/tex]

[tex] X = cos{-1}(0.3333) [/tex]

[tex] X = 70.5 [/tex]