Identify each expression with a sum of x2 + 3x +1.

[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]

[tex]a\:=\:2[/tex], [tex]b\:=\:-1[/tex] and [tex]c\:=\:-3[/tex]

7) [tex]3 {a}^{2} - b[/tex]

Plugging in the values of [tex]a[/tex] and [tex]b[/tex], we have

[tex] = 3( {2})^{2} - ( - 1)[/tex]

[tex] = 3(2 \times 2) + 1[/tex]

[tex] = 3 \times 4 + 1[/tex]

[tex] = 12 + 1[/tex]

[tex] = 13[/tex]

Hence, [tex]\boxed{ c. \:13 }[/tex] is the correct option.

8) [tex] {a}^{3} {b}^{3} - abc[/tex]

Plugging in the values of [tex]a[/tex] and [tex]b[/tex] and [tex]c[/tex], we have

[tex] = ({2})^{3} ( { - 1})^{3} - 2( - 1)( - 3)[/tex]

[tex] = (2 \times 2 \times 2)( - 1 \times - 1 \times - 1) - 2(3)[/tex]

[tex] = (8)( - 1) - 6[/tex]

[tex] = - 8 - 6[/tex]

[tex] = - 14[/tex]

Hence, [tex]\boxed{ d.\:-14 }[/tex] is the correct option.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

[tex] \huge\underline{\sf{\red{Problem:}}}[/tex]

7.) Detemine the value of [tex] \sf{ {3a}^{2} -b.}[/tex]

[tex] \huge\underline{\sf{\red{Given:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{a = 2}[/tex]

[tex]\quad\quad\quad\quad\sf{b = - 1}[/tex]

[tex]\quad\quad\quad\quad\sf{c = - 3}[/tex]

[tex] \huge\underline{\sf{\red{Solution:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{⟶{3a}^{2} - b}[/tex]

[tex]\quad \quad \quad \quad \sf{⟶{(3)( 2)}^{2} -( - 1)}[/tex]

[tex]\quad \quad \quad \quad \sf{⟶3(4)-( - 1)}[/tex]

[tex]\quad \quad \quad \quad \sf{⟶12-( - 1)}[/tex]

[tex]\quad \quad \quad \quad \sf{⟶12 + 1 }[/tex]

[tex]\quad \quad \quad \quad ⟶ \boxed{ \sf{ 13}}[/tex]

[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]

[tex]\huge\quad \quad \underline{ \boxed{ \sf{ \red{7.)\:13}}}}[/tex]

8.) Find the value of [tex] \sf{ {a}^{3} {b}^{3} - abc.}[/tex]

[tex] \huge\underline{\sf{\red{Solution:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{⟶ {a}^{3} {b}^{3} - abc}[/tex]

[tex]\quad\quad\quad\quad\sf{⟶{(2)}^{3} {( - 1)}^{3} - (2)( - 1)( - 3)}[/tex]

[tex]\quad\quad\quad\quad\sf{⟶{(8)}{( - 1)} - ( - 2)( - 3)}[/tex]

[tex]\quad\quad\quad\quad\sf{⟶{( - 8)} - ( 6)}[/tex]

[tex]\quad\quad\quad\quad ⟶\boxed{\sf{ - 14}}[/tex]

[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]

[tex]\huge\quad \quad \underline{ \boxed{ \sf{ \red{8.)-14}}}}[/tex]

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

#CarryOnLearning

[tex]\sf{\red{✍︎ C.Rose❀}}[/tex]

Answer:

(2w+2)(w+8) ≤ 100

Step-by-step explanation:

A = l x w

we want less than or equal to 100

100 ≥ length (2w +2) x width (w+8)

flip around to look like answer

Answer:

I think its c

Step-by-step explanation:

Answer:

-3 = 1

3=7

24=20

Step-by-step explanation:

+4 for outputs or -4 for inputs

Answer:

29

7 : 27

Step-by-step explanation:

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

The ratio of students to teachers is 2:29

this means that for every 2 teachers, there are 29 students

There are 7 doctors and 27 nurses. this means that the ratio of doctors to nurses is 7 : 27

Answer:

[tex] - i[/tex]

Step-by-step explanation:

Set up equation.

[tex]i {}^{3} = y[/tex]

[tex] {i}^{2 } \times i = y[/tex]

[tex] - 1 \times i = y[/tex]

[tex] - i = y[/tex]

Answer:

12.5%

Step-by-step explanation:

There are 8 equal sized slices

1 slices is yellow

P(yellow) = number of yellow slices/ total number of slices

              = 1/8

                =.125

               = 12.5%

Answer:

12.5%

Step-by-step explanation:

Probability = favorable outcomes / possible outcomes

There are 8 possible outcomes

And 1 favorable outcome ( the 1 yellow portion )

So the probability of the spinner landing on yellow is 1/8 which can also be written as a percentage (12.5%)

Step-by-step explanation:

side length

a = 10 m

side length

b = 18 m

diagonal

p = q = 20.591260281974 m

perimeter

P = 56 m

area

A = 180 m2

Answer:

Option (c).

The angle is given by 3 radian.

Step-by-step explanation:

Arc length = 12 cm

radius = 4 cm

The relation between the angle and the radius is

[tex]angle = \frac{arc length}{radius}\\\\angle =\frac{12}{4}\\\\angle = 3 radian[/tex]

Option (c) is correct.  

Answer:

x = 3

Step-by-step explanation:

5(x+1) = 20

x+1 = 20/5

or, x+1 = 4

or, x = 4-1

so, x = 3

Answer:

No solution is possible from the information provided

Step-by-step explanation:

When you post a question that starts with "which graph"

it's necessary to include the graphs

Answer:

The answer is Graph A.

Step-by-step explanation:

Answer:

bat puro math pede history lng

Answer:

BC=25

Step-by-step explanation:

8/(8+12)=10/BC

8/20=10/BC

8BC=10×20

BC=200/8=25

Answer:

[tex](\frac{u+s}{2} , \frac{v+t}{2} )[/tex] (the first option)

Step-by-step explanation:

The midpoint of a segment connecting two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] can be described by the following formula: [tex]\frac{x_1 + x_2}{2} = x_{mid}[/tex] and [tex]\frac{y_1 + y_2}{2} = y_{mid}[/tex]. As you can see, the formula essentially takes the average of the x- and y-coordinates to find the point in the middle.

With points (u, v) and (s, t), the midpoint becomes [tex](\frac{u+s}{2} , \frac{v+t}{2} )[/tex] (the first option).

Answer:

it's -2 because the lowest the the line is is at the -2 mark under 0

The lowest value of the range of the function is -2, as shown on the graph. The correct answer is an option (B).

The curve of a function has peaks and troughs called maxima and minima. A function may have any number of maxima and minima. Calculus allows us to determine any function's maximum and lowest values without ever consulting the function's graph.

The point is (3, -2), where the function reaches its minimum value.

The y-coordinate of this point represents the lowest value of the range of the function.

Here, the y-coordinate is -2.

Thus, the lowest value of the range of the function is -2.

Learn more about the lowest value of the range here:

https://brainly.com/question/9384609

#SPJ7

Answer:

net gain of 7 yards

Step-by-step explanation:

10 - 3 = 7

net gain of 7 yards

Answer:

The Hawks have total gain of yardage.

They have gained 7 yards.

Answer:

18

Step-by-step explanation:

Always remember negative x negative = positive

-51-(-60)-51-(-60)

-51+60-51+60

9+9

18

I don't know what are the expressions but try yourself

Believe in yourself you can do it

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

Explanation:

Refer to the diagram below. I've split the regular pentagon into 5 equal slices (as if it was a pizza). Each triangle is congruent.

The base of each triangle is 22/5 = 4.4 cm

The height of each triangle is the apothem 3 cm. The apothem stretches from the center to the midpoint of any given side. It's the red dashed line in the diagram.

The area of one of the triangles is base*height/2 = 4.4*3/2 = 6.6 square cm.

Since we have 5 identical triangles with this area, we have a total area of 5*6.6 = 33 square cm

Answer:

165

Step-by-step explanation:

The formula for the area of the pentagon is 5/2 × s × a. 

5/2×22×3

5/2 × 66/1= 66÷2

=33

33×5=165

Answer:

The total price that he has to pay is $21.8.

Step-by-step explanation:

Mr. O'Donnell goes to the store to buy a shirt. The shirt is $20, but he also has to pay a 9% tax.

First you convert the sales tax percentage to its decimal form: in this case 9% becomes 0.09.

To calculate the cost of the tax, the following multiplication must be performed:

cost of product or service* sales tax (in decimal form) = total sales tax

In this case:

$20*0.09= $1.8

Finally, you must add the value of the total sales tax to the cost of the product or service to obtain the total cost. In this case:

$20 + $1.8= $21.8

So, the total price that he has to pay is $21.8.

Answer:

Red=10 Pink=30

Step-by-step explanation:

you said for every litres of red; therefore, you need 3 litres of pink paint. So the steps are like this 3+1(P+R) ........... you need 30 litres pink and 10 litres red

Answer:

C. 0.5

Step-by-step explanation:

The diameter of B is from -2 to 2, which = 4 units.

The diameter of B' is from -1 to 1, which equals 2 units.

2/4 = 1/2 = 0.5 scale factor.

Answer:

can you mark me a brainlist

Step-by-step explanation:

thanks

Answer:

10 pounds

Step-by-step explanation:

165 ounces = 10 pounds

Answer:

10 pounds, 5 ounces

Step-by-step explanation:

The phrasing of the question is unclear. 165 ounces is itself a measure of weight, but it can be further broken down into pounds and ounces.

Recall that 1 pound = 16 ounces. Therefore, 165 ounces = 10 pounds with remainder of 5 ounces. Or in simple decimals it is 165 ounces / 16 ounces = 10.3125 pounds.

Answer:

10.4 miles on his return trip → 27 minutes

5.6 miles on his trip to the restaurant → 7 minutes

9.6 miles on his trip to the restaurant → 12 minutes

7.2 miles on his return trip → 31 minutes

Step-by-step explanation:

When solving, we note that on his trip to the restaurant, [tex]\left |t - 20 \right |[/tex] is a negative number, while it is a positive number on his return trip

1) At 10.4 miles on his return trip, we have;

[tex]d = 10.4 = -0.8 \cdot \left |t - 20 \right |+ 16[/tex]

Therefore;

(10.4 - 16)/(-0.8) = 7 =  [tex]\left |t - 20 \right |[/tex]

t = 20 + 7 = 27

The number of minutes since Luke started driving from his house, t = 27 minutes

2) At 5.6 miles on his trip to the restaurant, we have;

[tex]d = 5.6 = -0.8 \cdot \left |t - 20 \right |+ 16[/tex]

Therefore;

(5.6 - 16)/(-0.8) = 13 =  [tex]\left |t - 20 \right |[/tex]

Here, t is less than 20 (minutes), therefore, t - 20 is negative, we get

t - 20 = -13

∴ t = 20+ (-13) = 7

The number of minutes since Luke started driving from his house when he is 5.6 miles on his trip to the restaurant, t = 7 minutes

3) At 9.6 miles on his trip to the restaurant, we have;

[tex]d = 9.6 = -0.8 \cdot \left |t - 20 \right |+ 16[/tex]

Therefore;

(9.6 - 16)/(-0.8) = 8 =  [tex]\left |t - 20 \right |[/tex]

[tex]\left |t - 20 \right |[/tex] is negative on his trip to the restaurant, therefore;

- [tex]\left |t - 20 \right |[/tex] = 8

t - 20 = -8

t = 20 - 8 = 12

The number of minutes since he started driving from his house to when he is 9.6 miles on the his trip to the restaurant, t = 12 minutes

4) At 7.2 miles on his return trip, we have;

[tex]d = 7.2 = -0.8 \cdot \left |t - 20 \right |+ 16[/tex]

Therefore;

(7.2 - 16)/(-0.8) = 11 =  [tex]\left |t - 20 \right |[/tex]

t = 20 + 11 = 31

At 7.2 miles from his house on the return trip, t = 31 minutes

Answer:

I think you mean significant figures

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

Simplify. You can do this with what I've provided below.

[tex]\frac{-(\frac{2}{3}+4)}{\frac{5}{6} }[/tex]

Answer:

the first one

Step-by-step explanation: