Henry has scored 30, 29, 22, and 21 points in his four basketball game so far. How many points does he need to score in his next game so that his average mean is 24 points per game

Answer:

Step-by-step explanation:

The quadratic expression can be factored into two binomials if it has two real roots.

Two real roots possible with non-negative discriminant:

As D = b² - 4ac, we get the following inequality

This is true for any value of k

Answer:

(-∞, ∞)  or  [tex]k \in \mathbb{R}[/tex]

Step-by-step explanation:

Binomial:  two terms connected by a plus or minus sign.

Discriminant

[tex]b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0[/tex]

[tex]\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real roots}[/tex]

[tex]\textsf{when }\:b^2-4ac=0 \implies \textsf{one real root}[/tex]

[tex]\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real roots}[/tex]

If a quadratic expression factors into two binomials, it will have two real roots.  Therefore, the discriminant will be greater than zero.

Given quadratic expression:

  [tex]3x^2+kx-8[/tex]

[tex]\implies a=3, \quad b=k, \quad c=-8[/tex]

Substitute the values of a, b and c into the discriminant, set it to > 0:

[tex]\implies k^2-4(3)(-8) > 0[/tex]

[tex]\implies k^2+96 > 0[/tex]

As k² ≥ 0 for all real numbers,

[tex]\implies k^2+96 \geq 96[/tex]

Therefore, the values of k are (-∞, ∞)  or  [tex]k \in \mathbb{R}[/tex]

Answer:

none of those answers are correct unless u mean 5 and 3/4

Step-by-step explanation:

Answer:

D [-1,3] and R [5,27]

Step-by-step explanation:

I explained the process of finding the domain and range in your previous questions therefore I will only give you the answer for this one.

D [-1,3] or [tex]-1\leq x\leq 3[/tex]

R [5,27] or [tex]5\leq y\leq 27[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

[tex]\qquad \tt \dashrightarrow \: \sin(x) = 0.6[/tex]

[tex]\qquad \tt \dashrightarrow \: \sin(x) = \dfrac{6}{10} [/tex]

[tex]\qquad \tt \dashrightarrow \: \sin(x) = \dfrac{3}{5} [/tex]

[tex]\qquad \tt \dashrightarrow \:x = \sin {}^{ - 1} ( \dfrac{3}{5} ) [/tex]

[tex]\qquad \tt \dashrightarrow \:x = 37 \degree[/tex]

Now, since we have to find the value of x in quadrant 2, we have to subtract the given value from 180°

that is :

[tex]\qquad \tt \dashrightarrow \:x = 180 - 37[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 143 \degree[/tex]

What change has been caused?

Change in x (+4)

Means

Option A

Answer:

translate 4 to the left

Step-by-step explanation:

ED 2022

Answer:

B. 12

Step-by-step explanation:

Edges are the straight lines

Answer:

Or the rate of change. The percentage change.

Slope.

I think that's it, Hope this helps!!!!!!

Answer:

x = -2

Step-by-step explanation:

4x + 5y = 7
4x + 5 (3x + 9) = 7
4x + 15x + 45 = 7
19x + 45 = 7
19x = -38
x = -2

Considering the table given, the constant of proportionality of the proportional relationship is of k = 0.8.

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

Researching the problem on the internet, the set of values is as follows: (4,5), (8,10), (12,15), ...

Hence the constant is given by k = 4/5 = 8/10 = 12/15 = ... = 0.8.

More can be learned about proportional relationships at https://brainly.com/question/10424180

The pounds of tomatoes and the pints of tomato juice illustrates a proportional table

The constant of proportionality of the table is 1.25

From the complete question, we have the following value

(x,y) = (4,5)

The constant of proportionality for a proportional table is calculated using:

y = kx

Make k the subject

k = y/x

So, we have:

k = 5/4

Evaluate

k = 1.25

Hence, the constant of proportionality of the table is 1.25

Read more about constant of proportionality at:

https://brainly.com/question/1835116

Answer:

y = [tex]\frac{9}{13}x + 7[/tex]

Step-by-step explanation:

Slope (m):

34 - (-11)/39 - (-26) = 45/65 = 9/13

y-intercept (b):
34 = (9/13)39 + b

7 = b

the equation is:

y = (9/13)x +  7

Answer:

The deck's width is 9 feet
The deck's area is 18 feet

Correct po yan

Hope it helps po

Answer:

Deck Width: 6 Feet

Deck Area: 72 Feet Squared

Step-by-step explanation:

[l = length, w = width, f = feet, p = perimeter, a = area]

A = l x w

P = 2l + 2w [l = 12f, p = 36f]

P = 2l + 2w

=> 36f = 2 (12f) + 2w

=> 36f = 24f + 2w

=> 36f - 24f = 2w

=> 12f = 2w

=> 2w/2 = 12f/2

=> W = 6f

Therefore: Width = 6 Feet

A = l × w

A = 12f × 6f

A = 72f^2

Therefore: Area = 72 Feet Squared

can't really see the graph but it's probably 18

Answer:

increase to 38 and have the unused ones in for maintenance

x=12

.................

The typical Orlando electric bill would be $138.66, which would be $17.21 more than the national average option (a) is correct.

It is given that the national average utility cost is $270.48 per month. if the average electric bill is 44.9% of the total amount and the average utility cost for Orlando, fl is $308.83.

It is required to find the cost of a typical Orlando electric bill and how would that compare with the national average.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

We have:

Average utility cost = $270.48

Average electric bill = 44.9%

Average utility cost without electric bill = [tex]270.48\times \frac{44.9}{100}[/tex]

= $121.44

Typical orlando electric bill = [tex]308.83\times \frac{44.9}{100}[/tex]

= $138.66

Now,

=$138.66 - $121.44

= $17.22

Thus, the typical Orlando electric bill would be $138.66, which would be $17.21 more than the national average option (a) is correct.

Learn more about the average here:

https://brainly.com/question/24057012

Answer:

The Strangers that Came to Town is a short story by Ambrose Flack, which tells how an immigrant family from Croatia, the Duvitch, arrive in a small town in the United States, where due to the prejudices of its inhabitants regarding their appearance they suffer discrimination and undeserved tense situations, due to their kindness and generosity.

Despite this initial situation, finally, people begin to accept them, as they start to know them and realize their kindness to other neighbors and villagers of the town.

Step-by-step explanation:

Answer:

72 + 12x

Step-by-step explanation:

Use Distributive proeprty: a*(b +c)= (a*b) + (a*c)

Here, a = 12 ; b = 6 & c = x

12( 6 + x) = 12*6 + 12*x

               = 72 + 12x

Answer:

1. growth

2. decay

3. growth

4. decay

Answer:

Step-by-step explanation:

Growth: anything in the parenthesis that is greater than 100% or 1 | > 1

Decay: anything in the parenthesis that is less than 100% or 1  | < 1

(1 + r) = growth

(1 - r) = decay

r = rate of growth

[tex]f(x)=485(1.98)^t < ==|(1+0.98=1.98)| > 1= > growth\\[/tex]

[tex]f(x)=\frac{1}{4}(0.18)^t < ==|(1-0.82=0.18)| < 1= > decay[/tex]

[tex]f(x)=46(1.001)^t < ==|(1+0.001=1.001)| > 1= > growth[/tex]

[tex]f(x)=0.08(0.34)^t < ==|(1-0.66=0.34)| < 1= > decay\\[/tex]

Hope this helps!

Answer:

27

Step-by-step explanation:

These shapes are mathematically similar as line BR and QC are parallel.

To find the scale factor:

First we find the length of BD by adding 26 and 39:

26+39 = 65

So to get from BD to BQ :

We multiply by :

26/65 = 0.4

So to get from RD to CD:

We do

18÷0.4 = 45

Then we subtract 18 from 45 to get x:

45-18 = 27

Therefore the value of x is 27

Regular polygons have equal sides

Irregular polygons have unequal sides

Answer:

regular polygons have sides and interior angles that are the same and irregular polygons have sides and interior angles that are different

Step-by-step explanation:

Using it's concept, it is found that the probability of randomly choosing a number either divisible by 5 or divisible by 3 is given by:

B) 7/16

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

Hence the probability is given by:

p = 14/32 = 7/16.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

Answer:

Step-by-step explanation:

x is the adjacent side of 30°

Hypotenuse = 22

[tex]Cos \ 30^ \circ = \dfrac{adjacent \ side}{hypotenuse}\\\\\\0.866 = \dfrac{x}{22}\\\\\\0.866*22 = x\\[/tex]

x = 19.1

Answer:

cosθ=Adjacent/ hypotenuse

[tex] \cos(30) = \frac{x}{22} \\ \\ \frac{ \sqrt{3} }{2} = \frac{x}{22} \\ \\ 2x = 22 \sqrt{3} \\ \\ x = \frac{22 \sqrt{3} }{2} \\ \\ x = 11 \sqrt{3} = 19.05 = 19.1[/tex]

Answer:

I do know what that is saying it's saying the rise of the line is going to be -6 and the run is going to be 2.

Step-by-step explanation:

Your supposed to graph a line I don't exactly remember how to do it but yeah you're supposed to graph the line.

Answer: 2/21

Step-by-step explanation:

6/63= 2/21

Answer:

[tex]x=(b-a)^{3}[/tex]

Step-by-step explanation:

Answer:

x = b³ - 3b²a + 3a²b - a³

Step-by-step explanation:

Given:

[tex]\sqrt[3]{x} + a = b[/tex]

To determine the value of "x", we need to isolate it. Start out by subtracting "a" both sides. Then, we can cube both sides to remove the cube root. Finally, we can simplify both sides to obtain the value of x.

Subtract "a" both sides to isolate ∛x:

[tex]\implies \sqrt[3]{x} + a - a = b - a[/tex]

[tex]\implies \sqrt[3]{x} = b - a[/tex]

Cube both sides to remove the cube root on the L.H.S:

[tex]\implies (\sqrt[3]{x})^{3} = (b - a)^{3}[/tex]

[tex]\implies x= (b - a)^{3}[/tex]

Use the formula (a - b)³ = a³ - 3a²b + 3ab² - b³

[tex]\implies x = b^{3} - 3(b)^{2}(a) + 3(b)(a)^{2} - a^{3}[/tex]

[tex]\implies \boxed{x = b^{3} - 3b^{2}a + 3a^{2}b - a^{3}}[/tex]

Thus, the value of x is b³ - 3b²a + 3a²b - a³.

Answer:

8.324

Step-by-step explanation:

The 8 serves as the first digit and the "and " represents a decimal point  the remaining numbers go behind that decimal point therefore 8.324.

Answer:

Perimeter of rectangle = 14x - 2

Area of rectangle = 10x² + x - 2

Step-by-step explanation:

Finding the perimeter of the rectangle:

⇒ Perimeter of rectangle = 2(L) + 2(B)

⇒ Perimeter of rectangle = 2(2x + 1) + 2(5x - 2)

⇒ Perimeter of rectangle = 4x + 2 + 10x - 4

⇒ Perimeter of rectangle = 14x - 2

Finding the area of the rectangle:

Area of rectangle = LB

⇒ Area of rectangle = (2x + 1)(5x - 2)

⇒ Area of rectangle = 10x² - 4x + 5x - 2

⇒ Area of rectangle = 10x² + x - 2

Answer:

Perimeter = 14x - 2

Area = 10x² + x - 2

Step-by-step explanation:

Formulae

(where W is the width and L is the length)

Given information

Perimeter

⇒ Perimeter = 2(2x + 1) + 2(5x - 2)

                     = 4x + 2 + 10x - 4

                     = 14x - 2

Area

⇒ Area = (2x + 1)(5x - 2)

             = 10x² - 4x + 5x - 2

             = 10x² + x - 2