Which of the following is a linear function?
A. y=1 over x
B. y=x²
C. y=x
D. y=√x

Answer:

  b.  4x^2 -7x +5

Step-by-step explanation:

When you know a sum and one of its contributors, you can find the other by subtraction. The other trinomial is ...

  (7x^2 -5x +4) - (3x^2 +2x -1)

  = (7 -3)x^2 +(-5 -2)x +(4 -(-1))

  = 4x^2 -7x +5 . . . . . matches B

5 1/3 - 2/3

= (5 – 0) + (1/3-2/3)

= 5 + 1-2/3

= 5 +-1/3

 = 4 2/3

in fraction:

= 4 2/3

in decimal:

= 4.6666666666667

Answer:

  a/(a-4)

Step-by-step explanation:

Simplifying generally means expressing the rational function over a common denominator. Factoring the second term can help us see what that common denominator should be.

___

  [tex]\dfrac{3a}{a+4}-\dfrac{2a^2-16a}{a^2-16}=\dfrac{3a(a-4)}{(a-4)(a+4)}-\dfrac{2a(a-8)}{(a-4)(a+4)}\\\\=\dfrac{a(3(a-4)-2(a-8))}{(a-4)(a+4)}=\dfrac{a(3a-12-2a+16)}{(a-4)(a+4)}\\\\=\dfrac{a(a+4)}{(a-4)(a+4)}=\boxed{\dfrac{a}{a-4}}[/tex]

Answer:

13 or 14 pictures

Step-by-step explanation:

there are 27 students who has decided to be grouped in pair. pair means 2, so mathematically

27 = 2 *x 27 can't make a pair

where x is the one student is removed

number of 26 is left

pictures x = 26 \ 2

x = 27 \ 2 OR x = 13 pictures

x = 13.5

x = 14 pictures

hope it help

There are 13 or 14 pictures can be taken.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

We have,

Total students at booth= 27 students

Number of person in a group = 2

Then, the possible number of pictures can be

x = 26/2

x= 13

Since one person is left and have a single photo which shows total 14 pictures.

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ2

Answer:(x+5)(x-2) I Dont know what a special product is sry

Step-by-step explanation:

Answer:

The answer is 3 and (-4).

Step-by-step explanation:

We are given an equation 2x² + 2x – 24.

Let us assume that the equation is equal to zero.

2x² + 2x – 24 = 0

Now, divide whole equation by 2 we get,

x² + x – 12 = 0

x² + 4x – 3x – 12 = 0

x(x + 4) – 3(x + 4) = 0

(x – 3) (x + 4) = 0

x = 3, -4

Thus, The actual roots of f(x) are 3 and (-4).

Answer:

-4 AND 3

Step-by-step explanation:

Answer:

Each one of the little squares is called a unit. they count in a line how many units are on the base. they did the same upward for the height

Step-by-step explanation:

Answer:

The answer is 6.

Step-by-step explanation:

The degree is the largest exponent on the variable. And in this case the answer is 6.

Answer:

The total of the discount would be 1,360.

Step-by-step explanation:

If a 6,800$ item had a 20% discount, subtract 6,800 by 20 in percentage, therefore the result would be 1,360 in discount.

The amount of the tip was computed first, and it was then used to find then percentage of the tip that was given at the restaurant

Given Data

Let us find the amount of the tip

= 17.78 -14

= $3.78

Let us find the percentage tip

= 3.78/14 * 100

= 0.27 * 100

= %27

Learn more about percentages here:

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Answer:

B

Step-by-step explanation:

The square root of 100 is 10, and 10 is a rational number.

Answer:

Below in bold.

Step-by-step explanation:

x /18 = 12/10

10x = 18*12

x = 216/ 10

= 21.6.

10/w = 18/24

10/w =  3/4

3w = 40

w = 40/3 =  13 33   to the neaest hundredth.

Answer:

ik my head be harding so much

Step-by-step explanation:

like take it out

Adjacent angles in parallelograms are supplementary angles thus :

[tex]x + 130 = 180[/tex]

[tex]x = 180 - 130[/tex]

[tex]x = 50[/tex]

Answer:

the area would be 11/6 yards^2

or 1 5/6 yards^2 or 1.8333333...yards^2

Step-by-step explanation:

turn 2 3/4 into 11/4 and multiply with 2/3 to get 22/12 divide by 2 to get 11/6 then simplify

Step-by-step explanation:

Turn 2 3/4 into an improper fraction

11/4

Multiply both fractions

2/3 × 11/4 = 22/12

Simplified is 11/6 (you divide 22/12 by 2)

Answer:

Domain [0,50] and Range [0,100]

Step-by-step explanation:

The domain of a graph is the values that x takes on in the graph.

We see the x values for the graph go from 0 to 50.

Since both ends of the graph are closed circles we will use brackets:

D [0,50]

The range of a graph is the values that y takes on in the graph.

We see the y values for the graph go from 100 to 0.

R [0,100]

We can also write them in interval notation:

Domain: [tex]0\leq x\leq 50[/tex]

Range: [tex]0\leq y\leq 100[/tex]

Answer:

[tex]\orange{ \rule{100pt}{999999pt}}[/tex]

Answer:

115.395 min

Step-by-step explanation:

First we find the volume of 6 cm of water. We use the formula:

[tex]\pi *radius^2 *height[/tex]

[tex]\pi *35^2*6 = 23,079 cm^3[/tex]

1 L/min = 1000 cm^3 / min

0.2 L/min = 200 cm^3 /min

[tex]\frac{23,079}{200} = 115.395 min[/tex]

Answer:

y=-2x+2

Explanations:

the slope is -2 and the y-intercept is (0,2)

The growth of the town is an illustration of exponential growth function

The population of the town in 15 years is 125651

The given parameters are:

An exponential growth function is represented as:

y = a * (1 + r)^t

So, we have:

y =75000 * (1 + 3.5%)^15

Evaluate

y =125651

Hence, the population in 15 years is 125651

Read more about exponential functions at:

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#1

#2

Convert to Vertex form of parabola y=a(x-h)²+k

We need calculator now

On comparing

As a is negative so parabola is opening downwards hence vertex is maximum

#3

When h(t) is 0 ball hits the ground

On solving we get t=-1/16 or 4

Take it positive

At 4s it reach the ground

#4

Domain is set of all t values (Time axis)

Here

ball starts from 0s and hits 0 again at 4s

So domain=[0,4]

Answer:

(a)  66 ft

(b)  66.015625 feet

(c)  4 s

(d)  0 ≤ t ≤ 4

Step-by-step explanation:

[tex]h(t)=-16t^2+63t+4[/tex]

Part (a)

[tex]t=2 \implies h(2)=-16(2)^2+63(2)+4=66[/tex]

Therefore, the height of the ball after 2 seconds is 66 feet

Part (b)

The maximum height will be the turning point of the parabola.

To find the turning point, differentiate the function:

[tex]\implies h'(t)=-32t+63[/tex]

Set it to zero:

[tex]\implies h'(t)=0[/tex]

[tex]\implies-32t+63=0[/tex]

Solve for t:

[tex]\implies 32t=63[/tex]

[tex]\implies t=\dfrac{63}{32}=1.96875[/tex]

Input found value of t into the function and solve for h:

[tex]\implies h(1.96875)=-16(1.96875)^2+63(1.96875)+4=66.015625[/tex]

Therefore, the maximum height of the ball is 66.015625 feet

Part (c)

The ball will hit the ground when h(t) = 0

[tex]\implies -16t^2+63t+4=0[/tex]

[tex]\implies 16t^2-63t-4=0[/tex]

[tex]\implies 16t^2+t-64t-4=0[/tex]

[tex]\implies t(16t+1)-4(16t+1)=0[/tex]

[tex]\implies (t-4)(16t+1)=0[/tex]

[tex]\implies t=4, t=-0.0625[/tex]

As time is positive, t = 4s only

Part (d)

As time is positive, and the ball hits the ground when t = 4 s, the domain should be restricted to:  0 ≤ t ≤ 4

Step-by-step explanation:

radius = 14cm

area of circle = [tex]\pi[/tex]r^2

                      = 22/7 *(14)^2

                      = 616 cm^2

Answer:

196π cm² or 615.44 cm²

Step-by-step explanation:

Substitute:

A = πr²

A = 3.14*14²

A = 3.14*196

A = 615.44 cm²

Therefore, the area of the cake is 196π cm² or 615.44 cm²

Hope this helps!

Answer:

8 cm

Step-by-step explanation:

Squares have equal side lengths so if we call each side x, then x × x gives us the area (32 cm²). This means that x² = 32 and therefore, one side is √32 cm.

Next, to work out the diagonal we can use Pythagoras' theory, since we can form a right-angled triangle. a² + b² = c² (c is the diagonal or the hypotenuse)

(√32)² + (√32)² = c²

(note: the square and the square root cancel out)

32 + 32 = 64

c² = 64 ∴ c = √64 which is 8

Hope this helps!

Answer:

The length of the diagonal is 8 cm.

Step-by-step explanation:

The side length of the square is √32 cms.

The diagonal divide the square into 2 congruent right triangles.

We use Pythagoras Theorem here:

d^2 = (√32)^2 +  (√32)^2

d^2 = 32 + 32 = 64

d = √64 = 8.

The answer is 410

Hope this helps!!

Answer:

30% also means 30/100 in fraction form.

(Think of the root 'per' in percent to be per a 100.)

The keyword 'of' means multiplication.

'X' will be the unknown number aka the part that says ('-what number').

And 123 will represent the result.

Set up equation;

Then solve for x;

So your answer is 410.

(.25x)+5 ≤10 or .25x ≤5 i believe both should work.

20 is how many toppings....

you need four quarters to make a dollar and honestly i just counted with my fingers even though i could have just multiplied 5 x 4

sorry for missing the inequality part at first.........

Answer:B.a= -2

2.2(44a+5)=1.8a-3

8.8a+11=1.8a-3

8.8a-1.8a=-3-11

7a=-14

:a=-2

Step-by-step explanation: