Evaluate the function:

f(x)=x2−4x, find f(−3)

Answer:

[tex]\huge\boxed{a =\frac{s-t}{m-r}}[/tex]

Step-by-step explanation:

In order to convert an equation to solve for another variable, we need to algebraically manipulate the problem until we're left with a isolated on one side.

Step 1: Subtract [tex]t[/tex] from both sides

Step 2: Divide both sides by [tex]m- r[/tex]

Hope this helped!

Answer:

A ratio is a comparison of two numbers. A rate, by contrast, is a comparison of two quantities which can have different units.

Step-by-step explanation:

For example 5 miles per 3 hours is a rate, as is 34 dollars per square foot.

Answer:

A

Step-by-step explanation:

Ok first we need to find rate of MILES per HOUR

320/6.4=50

m= miles in 9 hours

9*50=450

is your answer

A

(6.4*9)/320m=Hours/miles

Hope this helps!

The number of miles the bus will travel in 9 hours will be 6.4 / 320 = 9 / m. Then the correct option is B.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

A bus travels 320 miles in 6.4 hours. if the bus continues at the same rate.

We know that speed is the ratio of distance and time. Then we have

The number of miles the bus will travel in 9 hours will be

320 / 6.4 = m / 9

6.4 / 320 = 9 / m

Then the correct option is B.

More about the ratio and the proportion link is given below.

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Answer:

An=8+(n-1)(-6)

=8-6n+6

=14-6n

A50=14-6(50)

= -286

Answer:

£573.40

Step-by-step explanation:

Amount = cost price - total depreciation

depreciation (1st year ) = 5% of £780

                     = [tex]\frac{5}{100}[/tex] x 780

                     = 0.05 x 780

                     = £39.00

depreciation (2nd year) = 5% of  £741

                                       =  £37.05

depreciation (3rd year) = 5% of 703.95

                                      = £35.1975

depreciation (4th year)  = 5% of 668.7525

                                       = £33.437625

depreciation (5th year) = 5% of 635.314875

                                      = £31.76574375

depreciation (6th year) = 5% of 603.5491313

                                      = £30.17745656

Total depreciation = £39.00 + £37.05 + £35.1975 + £33.437625 +   £31.76574375 + £30.17745656

                               = £206.6283253

Total depreciation = £206.6283253

Therefore,

Amount after 6 years = £780 - £206.6283253

             =  £573.3716747

             =  £573.40

The worth of the TV after 6 years is £573.40.

Answer:

573.37

Step-by-step explanation:

Answer:

Q.1 360° Q.2 360°

Step-by-step explanation:

Q.1 let the third angle of the triangle be a

70°+40°+a=180(by angle sum property)

110°+a=180

a=180°-110°

a=70°

angle x=70°+x=180°(linear angle)

x=180°-70°

x=110°

angle z= 40°+z=180

z= 180°-40°

z=140°

angle y=a+y=180°

70°+y=+80°

y=180°-70°

y=110°

y+z+x=110° +110° +140°=360

Q.2 let the fourth angle of the quadrilateral be x

120°+70°+60°+ x=360° (by angle sum property)

250°+x=360°

x=360°-250°

x=110°

angle a=120°+a=180°(by linear angle)

a=180°-120°

a=60°

angle b=70°+b=180°

b=180°-70°

b=110°

angle c=x+c=180°

110° + c=180°

c=180°-110°

c=70°

angle d=60°+d=180°

d= 180° -60°

d=120°

a+b+ c+d=120°+110°+60°+70°=360°

Answer:

There are 20 students in the class

Step-by-step explanation:

Let the total number of children in the class be = x

from the question, we know that 20% of all the children are left-handed. We also know that 20% of the total children in the class = 4.

This means that 20% of  x = 4

Wherever we see the word "of" in an arithmetic problem, we should know that it infers a multiplication there.

Hence, we have

[tex]\frac{20}{100} \times x = 4[/tex]

[tex]x = \frac{4 \times 100}{20}= 20[/tex]

There are 20 children in the class altogether

Answer:

Step-by-step explanation:

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share, now when you have a polynomial, the greatest common factor (GCF) of a polynomial is the largest monomial that divides evenly into each term , so

                            [tex](GCF)\\x^4=x^4\\x^5=x^4.x\\x^7=x^4 x^3\\(GCF)=x^4 \\[/tex]

I hope this helps you

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Answer:

The answer is 20

I hope this helps

Answer:

The answer is 28.

Step-by-step explanation:

Ok.

☆7x and 3x + 16 are congruent, meaning they equal the same.

☆Since they are equal, we can make an equation out of then.

7x = 3x + 16

☆Then we just solve.

[tex] \: \: \: \: \: \: \: \: \: 7x = 3x + 16 \\ \frac{- 3x = - 3x}{4x = 16} \\ \\ \frac{4x}{4} = \frac{16}{4} \\ \\ x = 4[/tex]

☆Therefore, x equals 4.

☆We are solving for m<KJL so all we need to do is plug in.

[tex]7x \\ 7(4) \\ 28[/tex]

☆You answer is 28.

The required angle is 28°

Two triangles are said to be congruent if all three corresponding sides are equal and all three corresponding angles are equal in measure. These triangles can be slid, rotated, flipped, and turned to be looked identical. If repositioned, they coincide with each other.

Given here ∠KJL=7x and ∠LJM=3x+16

now in ΔKJL & ΔLJM, JL is common and KL=LM, and by Pythagoras  theorem JL²=KL²+JK² & JL²=JM²+LM²

Thus   KL²+JK² = JM²+LM²

⇒        JK=JM

Thus by the SSS criterion, we can conclude that the triangles are congruent.

therefore by CPCT 7x=3x+16

                                4x=16

                                 x=4

so the required angle is 7×4 =28°

Hence, ∠KJL=28°

Learn more about congruence here:

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Answer:

b

Step-by-step explanation:

i just took it on edge

Line c is a transversal of lines a and b. The blank space filled by b

According to the question blank statement is to be filled.
Line c intersects lines a and b. Line d intersects lines a and b
In the diagram, line c is a transversal of lines a and _____

A line is the shortest distance between two points or a straight curve with zero deflection in it.

Here,
If c intersects line a and line b, then line c is the transversal line for both a and b.

Thus, line c is a transversal of lines a and b.

Learn more about the line here:
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Answer:

471.24 yd²

Step-by-step explanation:

The formula for the surface area of the cylinder

= 2πr(r + h)

Height = 10 yd

Radius = 5 yd

Surface area =

2 × π × 5(5 + 10)

= 471.24 yd²

The surface area of the cylinder = 471.24 yd²

Answer:

Hii Xxx

Please give your mobile number

Answer:

1000

Step-by-step explanation:

Answer:

x > -1

Step-by-step explanation:

-3x + 15 < 18

Subtract 15 from each side

-3x + 15-15 < 18-15

-3x < 3

Divide each side by -3, remembering to flip the inequality

-3x/-3 > 3/-3

x > -1

Answer:

[tex]-3\leq x[/tex] < 6

third answer choice

Step-by-step explanation:

Answer:

the answer is B (x+9)(x+5)

Answer:

60

Step-by-step explanation:

Answer:

540 feet 5 feet

Step-by-step explanation:

they're both feet, it cant be a rate.

Answer:

the answer to this is 7.8

9514 1404 393

Answer:

  85°

Step-by-step explanation:

The sum of arcs in a circle is 360°.

  FG +140° +80° +55° = 360°

  FG = 360° -275°

  FG = 85°

Answer: -4 1/6

Step-by-step explanation:

-15/7 ÷ 18/35

-15/7 x 35/18

-5 x 5/6

-25/6

-4 1/6

Answer:

the right answer is$2.66