If C = x2 + 7 and D = 3x2 - 4x + 3, find an expression that equals 3C + 3D in standard form.​

Answer:

(x²+16)(X+4)(x-4)

Step-by-step explanation:

x⁴ can be written as (x²)²

256 can be written as (16)²

by identity. a²-b²= (a+b)(a-b) :

(x²+16)(x²-16)

x²-16 can be written as (x)²- 4²

by identity. a²-b²= (a+b)(a-b) :

(X+4)(x-4)

Therefore, the factors altogether would be

(x²+16)(x+4)(x-4)

Answer:

Step-by-step explanation:

The two main considerations that you should take into account would be each employee's wage and the number of tables that they can handle simultaneously and efficiently. This would allow you to create a simulation in order to determine if adding an extra waitress would be the best option. Adding an extra waitress would be a worthwhile decision if it divides the workload evenly so that all the waitresses have sufficient tables to handle while also not being too much, and if the extra labor is bringing in more money than it costs.

9514 1404 393

Answer:

  BC ≈ 9.6 mi

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationships between sides and angles in a right triangle.

  Tan = Opposite/Adjacent

  tan(58°) = BC/(6 mi)

  BC = (6 mi)tan(58°)

  BC ≈ 9.6 mi

Answer:

The slope of the line = m = -9/5

Step-by-step explanation:

Given the points

Determining the slope between (-2, 4) and (3, -5)

(x₁, y₁) = (-2, 4)

(x₂, y₂) = (3, -5)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]  

                 =  [-5 - 4] / [3 - (-2)]

                 = [-9] / [3 + 2]

                 = -9/5

Thus, the slope of the line = m = -9/5  

Answer:

m = -9/5

Step-by-step explanation:

Taking (-2,4) as (x1,y1), and

Taking (3,-5) as (x2,y2)

Using the slope (m) formula:

[tex]m = \frac{y2-y1}{x2-x1}[/tex]

= (-5-4)/(3-(-2))

= -9/(3+2)

= -9/5

Hence, the slope is -9/5

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Answer:

y= 3x - 5

Step-by-step explanation:

y= mx+b is slope-intercept form,

m= slope (3)

b= y-intercept (5)

Therefore, y = 3x - 5 is your form.

If you wanted to calculate it, you'd input the x value of 3, like y = 3^3 - 5 to find your slope intercept.

Answer: c=6.25+0.15w

Step-by-step explanation:

Answer:

72 students were not driven to school

Step-by-step explanation:

First find the amount if students that got driven to school

84 percent *450

= (84:100)*450

= (84*450):100

37800:100 = 378

So 378 are driven to school

Subtract that from the total amount to get the amount who didn't get driven to school

450 - 378 = 72

72 student were not driven to school

Answer:

Step-by-step explanation:

2) When x = 6

x - 2y = 8

6 - 2y = 8

    -2y = 8 - 6

    -2y = 2

       y = 2/-2

     y = -1

Yes, (6, -1) lies on the line.

3) No, (-2 , -3) is not on the line

4) (-2 , -3) is not a solution to this equation because it does not lie on the line.

Answer:

Step-by-step explanation:

4×3×1/2×2+10×4×3=132

Step-by-step explanation:

The Symmetric Property states that for all real numbers x and y , if x=y , then y=x . Transitive Property. The Transitive Property states that for all real numbers x ,y, and z, if x=y and y=z , then x=z .

y =2x-1

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

Area = π·r2 = 3.14·2.712 = 23 square kilometers(*)

Answer:

[tex]\displaystyle m=\frac{1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (5, 0)

Point (-4, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

6 units

Step-by-step explanation:

Given data

x1=4

y1=6

x2=5

y2=0

substitute in the formula for the distance between two points

d=√((x_2-x_1)²+(y_2-y_1)²)

d=√((5-4)²+(0-6)²)

d=√((1)²+(6)²)

d=√36)

d=6

Hence the distance is 6 units

Answer:

4x

Step-by-step explanation:

2x(-1+3)

distributive property: -2x+6x

-2x+6x=4x

The arc length of the sector will be 19.89 centimeters.

Let r is the radius of the sector and θ be the angle subtended by the sector at the center. Then the arc length of the sector of the circle will be

Arc = (θ/2π) 2πr

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The radius of the sector is 4 cm. And the central angle is 285°.

Then the perimeter of the sector is given as,

Arc = (285° / 360°) x 2 x 3.14 x 4

Arc = 19.89 cm

The arc length of the sector will be 19.89 centimeters.

More about the arc length of the sector link is given below.

https://brainly.com/question/15955580

#SPJ2

Answer:

That would be A my good Sir (or ma'am).

Step-by-step explanation:

A triangle has a total of 180 degrees in it , however we already know one side is 45, so we can add that to the solution, we also know that 2 sides are the exact same, so therefore, we will be multiplying our unknown value ( x = 67.5 btw, not so unknown) by 2, and you will always get 180 degrees, thats how you check your answer, also if you sbutract 45 from 180 and divide the product by 2 you will get the value of x ( which is 67.5).

Thats It Helps It Helps!

Answer:

the answer is B 497

Step-by-step explanation:

I honestly don't know how to explain it but the answer is B but with percents you have the decimal moved two times to the left to make it a decimal then you can do some math and bam 497

Answer:

C. Find the sum of all the values and then divide by the number of values

Step-by-step explanation:

Step-by-step explanation:

a graphing calculator is more accurate then graphing by hand especially when you dont know the exactly were the point is

Answer:

a graphing calculator is just easier to graph the points than having to put every point on a piece of graph paper. the calculator also can tell you a bunch of other things like the domain or range or y intercept or x intercept. it’s just all along easier

Step-by-step explanation:

I have no clue if this is the sample response so watch out

Answer:

.

Step-by-step explanation:

Answer:

umm.... 75? id say that sooo yea

Answer:

The answer is $75.00

Step-by-step explanation:

0.75 is above fifty, so you round up. Which gets you to 75

Answer:

Step-by-step explanation:

6 2/5 cookies in 4 mins

To find the unit rate in minutes, divide 6 2/5 and 4 by 4.

In one minute is 1.6 cookies.

To find the unit rate in cookies, we divide by 6 2/5.

For one cookie, there are 5/8 minutes.

Answer:

Step-by-step explanation:

Answer:

I think the answer is 100

Answer:

[tex]100[/tex]

Step-by-step explanation:

1. Simplify 6 + 4 to 10.

[tex]52 + 4 \times (10 + 2)[/tex]

2. Simplify 10 + 2 to 12.

[tex]52 + 4 \times 12[/tex]

3. Simplify 4 × 12 to 48.

[tex]48 + 52[/tex]

5. Simplify.

[tex]100[/tex]

therefor, the answer is 100.

Answer:

- Sensitivity = 62.7 %

- specificity = 74.9 %

- positive predictive value = 45.2 %

- negative predictive value = 85.9 %

- Accuracy of the test = 71.9 %

Step-by-step explanation:

Given the data in th question;

                                 CONDITION POSITIVE    CONDITION NEGATIVE   TOTAL

TEST POSITIVE                   42                                       51                            93

TEST NEGATIVE                 25                                      152                          177

TOTAL                                  67                                     203                         270

so; A=42, B=51, C=25 and D=152

Sensitivity = [A / ( A + C) ]×100= [42 /( 42 + 25)]×100 = [42 / 67] 100=

Sensitivity = 62.7 %

specificity = [D / ( D + B) ]×100= [152 /( 152 + 51)]×100 = [152 / 203] 100=

specificity = 74.9 %

positive predictive value = [A / ( A + B) ]×100 = [42 /( 42 + 51)]×100 =[42/93] 100

positive predictive value = 45.2 %

negative predictive value =  [D / ( D + C) ]×100 = [152 /( 152 + 25)]×100 =[152/177] 100

negative predictive value = 85.9 %

Accuracy of the test = [A + D / ( A+B+C+D)] =  [42 + 152 / ( 42+51+25+152)]

= [ 194 / 270 ]

Accuracy of the test = 71.9 %