What is the factored form of the expression 9x^2- 24x + 16?
O (3x – 4)^2
O (4x + 3)^2
O (3x + 4)^2
O (4x – 3)^2

Answer:

Equation 2

Step-by-step explanation:

Equation 2 is the only one possible to be linear. All of the other answers have an exponents. For instance, say you have y=x^3. For 1, it is 1*1*1. (1,1). For 2, it is 2*2*2. (2,8). For 3, 3*3*3. (3,27) It escalates into a curve and is non-linear.

Answer:

The solutions to the system of equations are:

[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]

Step-by-step explanation:

Given the system of the equations

[tex]\begin{bmatrix}2x-y=65\\ 5y=x\end{bmatrix}[/tex]

isolate 'x' for 2x-y

[tex]2x-y=65[/tex]

Add y to both sides

[tex]2x-y+y=65+y[/tex]

[tex]2x=65+y[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{65}{2}+\frac{y}{2}[/tex]

[tex]x=\frac{65+y}{2}[/tex]

[tex]\mathrm{Subsititute\:}x=\frac{65+y}{2}[/tex]

isolate 'y' for  [tex]5y=\frac{65+y}{2}[/tex]

[tex]5y=\frac{65+y}{2}[/tex]

[tex]10y=65+y[/tex]

subtract y from both sides

[tex]10y-y=65+y-y[/tex]

[tex]9y=65[/tex]

Divide both sides by 9

[tex]\frac{9y}{9}=\frac{65}{9}[/tex]

[tex]y=\frac{65}{9}[/tex]

[tex]\mathrm{For\:}x=\frac{65+y}{2}[/tex]

[tex]\mathrm{Subsititute\:}y=\frac{65}{9}[/tex]

[tex]x=\frac{65+\frac{65}{9}}{2}[/tex]

[tex]x=\frac{325}{9}[/tex]

The solutions to the system of equations are:

[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]

Answer:

the answer is the second choice

Step-by-step explanation:

hopefully this helps :)

The equation of the line is y = 3x - 9 if the line with a slope of 3 passes through the point (6,9).

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have:

A line with a slope of 3 passes through the point (6,9).

m = 3

The line equation:

y = mx + c

y = 3x + c

9 = 3(6) + c

c = -9

y = 3x - 9

Thus, the equation of the line is y = 3x - 9 if the line with a slope of 3 passes through the point (6,9).

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Answer:

Both graphs are proportional

Step-by-step explanation:

in the first graph the x is multiplied by 3 to get y. in the second, you are getting rid of 1/3 of x to get y

Answer:

96000

Step-by-step explanation:

N=4years

R=4 %

We have S.I.=

100

PNR

=

100

P×4×4

=

100

16P

=0.16P

And on interest being compounded for 3 years and R=5 %, Amount=P(1+

100

R

)

N

=P(1+

100

5

)

3

=P×(1.05

3

)=1.157625P

So, C.I.=A−P=1.157625P−P=0.157625P

Given, S.I.−C.I=Rs228

=>0.16P−0.157625P=Rs228

=>0.002375P=Rs228

=>P=Rs96,000

Complete Question:

Tim has a large collection of books. The number of paperback books he owns is three less than four times the number of hard cover books, in total Tim had 447 books, How many hard cover books does Tim own ?

Answer:

Tim has 90 hard cover books

Step-by-step explanation:

Represent the paper books as P and the hard covers as H

The total number of books can be represented as:

[tex]P + H = 447[/tex]

From the first statement, we have:

P = 3 less than 4 times H

This means:

[tex]P = 4H - 3[/tex]

Required

Solve for H

Substitute 4H - 3 for P in [tex]P + H = 447[/tex]

[tex]4H - 3 + H = 447[/tex]

Collect Like Terms

[tex]4H + H = 447 + 3[/tex]

[tex]5H = 450[/tex]

Solve for H

[tex]H = \frac{450}{5}[/tex]

[tex]H = 90[/tex]

Hence:

Tim has 90 hard cover books

Answer:

3

Step-by-step explanation:

Took quiz

Answer:

I got this! Basically, the instructions say 12 gallons per 3 minutes. So you plug in the 12/3 to find the ratio of how many gallons per 1 minute.

Step-by-step explanation:

So, for the chart you just mulitply and evauluate

Time (min)           | 2 |  3 |  4 |   5  |   6 |

Water used (gal) | 8 | 12 | 16 | 20 | 24 |

Answer:

Let's see

Step-by-step explanation:

Two triangles are same ∆1 and ∆2

They have same height and breath

Now ∆1= ∆2

=> ar(∆1)= ar(∆2)

The same is for quadrilaterals

Answer:

2x + 3y - 9 = 0

Step-by-step explanation:

Answer:

s = 1

t = -10

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

15s + t = 5

4s = 3t + 34

Step 2: Rewrite

15s + t = 5

Step 3: Redefine Systems

45s = -3t + 15

4s = 3t + 34

Step 4: Solve for s

Elimination

Step 5: Solve for t

Answer:

Explanation is below

Step-by-step explanation:

Here ya go

Step 1

15s+t=5,4s=3t+34  Question

Step 2

4s=3t+34  Substitute  -15s+5

4s=3(-15s+5)+34

s=1

Step 3

t=-15s+5  Substitute 1 for s

t=(-15)(1)+5

t=-10

answer

s=1

t=-10

Answer:

Step-by-step explanation:

1) length of the field = 18 unit= 18*20=360 ft

2) circumference = 2(l+w)

2*(18*20+8*20)=1040

3) Area of the field = 18*8 units = 18*20*8*20ft^2 = 57600ft^2

Cost for the entire area= 57600*2.69= 170,000$

No it doesn't

A) The length of the field is 360 feet

B) The Perimeter of field is 1040 feet

C) The  school does not have enough money to purchase new turf for the entire field.

The Area of rectangle is the product of the length to its width.

Area of rectangle= length x width

Given:

1 block= 20 feet

A) length= 18 blocks

          = 18 x 20

          = 360 feet

width= 8 blocks

          = 8 x 20

          = 160 feet

B) Perimeter of field

= 2( l+w)

=2( 360 + 160)

= 2 x 520

= 1040 feet

C) Area of field

= l x w

=360 x 160

= 57600 feet²

If cost of 1 square feet is $2.96

and, the cost of  57600 feet²

= 2.96 x 57600

= $170,496

No, the school does not have enough money to purchase new turf for the entire field.

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Answer:

-14.2

Step-by-step explanation:

f(x)=-3x+5 Write original equation

f(6.4)=-3(6.4)+5 Substitute 6.4 in for x.

=-14.2 Solve

Answer:

40

Step-by-step explanation:

140-180= 40

Answer: 0.1548

Step-by-step explanation:

The P value can be calculated from the value of the test statistic :

H0 : p ≤ 0.28

H1 : p > 0.28

Zstat :

(p - p0) / √((p0(1-p0))/n)

p = 0.32 ; p0 = 0.28 ; n = 130

(0.32 - 0.28) / √((0.28(1 - 0.28))/130)

Zstat = 1.0157490

Zstat = 1.016

Using a 0.05 significance ;

The P value obtained using the p value from z statistic calculator is 0.154815

Answer:

592 miles

Step-by-step explanation:

Answer:

592 miles

Step-by-step explanation:

1. To figure out how many miles Jordan drove, multiply 6 by 55. 6 x 55 = 330.

2. To figure out how many miles Matt drove, multiply 3 by 60. 3 x 60 = 180.

3. Add 330 and 180 together to find out how many miles they drove in total. 330 + 180 = 510 miles.

4. Add Isaac's 82 miles to 510 miles to get the answer of 592 miles.

Answer:

The answer is x= -4/3

Step-by-step explanation:

3(x-4)=12x

=3x-12=12x

=3x-3x-12=12x-3x

-12=9x

To find x divide both sides by 9.

-12÷9=9x÷9

-4/3=x

Answer:

D.

Step-by-step explanation:

Answer:

[tex]x=\frac{3\pi}{4}\\\\x=\frac{5\pi}{4}[/tex]

Step-by-step explanation:

Trigonometric Equations

It's required to solve:

[tex]\cos x+\sqrt{2}=-\cos x[/tex]

for [tex]x\in [0,2\pi)[/tex]

Adding cos x:

[tex]2\cos x+\sqrt{2}=0[/tex]

Subtracting [tex]\sqrt{2}[/tex]

[tex]2\cos x=-\sqrt{2}[/tex]

Dividing by 2:

[tex]\displaystyle \cos x=-\frac{\sqrt{2}}{2}[/tex]

Solving for x:

[tex]\displaystyle x=\arccos\left(-\frac{\sqrt{2}}{2}\right)[/tex]

We need to find the angles whose cosine is [tex]-\frac{\sqrt{2}}{2}[/tex] over the given interval.

These angles lie on the quadrants III and IV respectively and they are:

x=135°, x=225°

Converting to radians:

135 * π / 180 = 3π/4

225 * π / 180 = 5π/4

The two solutions are:

[tex]\mathbf{x=\frac{3\pi}{4}}[/tex]

[tex]\mathbf{x=\frac{5\pi}{4}}[/tex]

Answer:

The correct answer is option C

Step-by-step explanation:

Given:

In a geometric sequence,

First term = 11

Common ratio = 4

To find:

The function for the geometric sequence.

Solution:

We have,

First term: a = 11

Common ratio: r = 4

We know that, nth term of a geometric sequence is

[tex]a_n=ar^{n-1}[/tex]

Putting a=11 and r=4, we get

[tex]a_n=(11)(4)^{n-1}[/tex]

The function notation is

[tex]f(n)=(11)(4)^{n-1}[/tex]

Therefore, the function for the geometric sequence is [tex]f(n)=(11)(4)^{n-1}[/tex], where n is a positive integer.

Answer:

1.01 m8

Step-by-step explanation:

Answer:

to be entirely honest i do not know

Step-by-step explanation:

Answer: H

Step-by-step explanation: