Answer:
Slope =6
Step-by-step explanation:
The given equation is in the form: y = mx + b
Here, m is the slope & b is y-intercept
y = 6x + 2
m = 6
Please help ASAP
Find all the values of k so that the quadratic expression factors into two binomials. Explain the process used to find the values.
3x^2 + kx - 8
Answer:
Any value of kStep-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:
D ≥ 0As D = b² - 4ac, we get the following inequality
k² - 4(3)(-8) ≥ 0k² + 96 ≥ 0k² ≥ - 96This is true for any value of k
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]
someone please help i literally have no idea how to do this
Answer:
I don't know if this is all the way right but I hope it is.
Step-by-step explanation:
Step 1.
Put the data in order to find the median.
Median = 72
Find the Lower Quartile and the Upper Quartile. These are the medians of the lower and upper halves.
Lower Quartile = 66
Upper Quartile = 79
Next put those points on your number line and mark your smallest and
greatest values, the median, and the Quartiles.
What’s the domain and range?
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]
When you are graphing a proportion or a percent, what should you look at to help you understand the bigger picture?.
Answer:
Or the rate of change. The percentage change.
Slope.
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
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
Perimeter = 2W + 2L Area = W x L(where W is the width and L is the length)
Given information
width = 2x + 1length = 5x - 2Perimeter
⇒ 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
help me with this question, please
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
[tex]\tt If\;\; \sqrt[3]{x}+a=b,\:then \; x=[/tex]
Answer:
[tex]x=(b-a)^{3}[/tex]
Step-by-step explanation:
Subtract ‘a’ from both sidesThis gives [tex]\sqrt[3]{x}=b-a[/tex]Cube both sidesThis gives [tex]x=(b-a)^{3}[/tex]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.
Help me please-math-
can't really see the graph but it's probably 18
The probability of getting a yellow gumball from
a gumball machine is. The probability of getting
a yellow piece of candy from a piñata is. If a
gumball is taken from the gumball machine and a
piece of candy is pulled from the piñata, what is the
probability that both will be yellow?
Easy question! First one to answer gets brainliest!
X=5+7
x=12
.................
A rectangular deck has a length of 12 feet and a perimeter of 36 feet. Include units with your answers.
The deck's width is____________________.
The deck's area is_______________________.
PLS HELPPPPPP
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
HELPP A spinner is divided into five colored sections that are not of equal size: red, blue,
green, yellow, and purple. The spinner is spun several times, and the results are
recorded below:
Spinner Results
Color Frequency
7
6
Red
Blue
Green
Yellow
Purple
12
19
19
Based on these results, express the probability that the next spin will land on blue as
a fraction in simplest form.
Answer: 2/21
Step-by-step explanation:
6/63= 2/21
CAN SOMEONE HURRY AND DO THIS AND TY !!!!!
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.
A car rental agency has 42 cars (each an identical model). the owner of the agency finds that at a price of $32 per day, all the cars can be rented; however, for each $1 increase in rental cost, one of the cars is not rented. what should the agency charge to maximize income?
Answer:
increase to 38 and have the unused ones in for maintenance
select exponential growth or decay for each function:
PLEASE HELP, 24 BRAINLY POINTS REWARD
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!
What is the value of x?
Enter your answer in the box.
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
each row describes a proportional relationship between the number of pounds of tomatoes used and the number of pints of tomato juice produced. complete the table by writing the constant of proportionally for each situation.
Considering the table given, the constant of proportionality of the proportional relationship is of k = 0.8.
What is a proportional relationship?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
How to determine the constant of proportionality?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
sin x=0.6, x lies in quadrant two.
[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]
please help!!
Title of short story or novel: _______|The strangers that came to town|______________ Author:_________|Ambrose Flack|____________
Rising Action Think about the protagonist of your novel or short story. List two actions the protagonist takes that increase the conflict. Describe the results of each action.
Protagonist’s Action #1
Result of Protagonist’s Action #1
Protagonist’s Action #2
Result of Protagonist’s Action #2
Think about the antagonist of your novel or short story. List two actions the antagonist takes that increase the conflict. Describe the results of each action.
Antagonist’s Action #1
Result of Antagonist’s Action #1
Antagonist’s Action #2
Result of Antagonist’s Action #2
Climax Think about the climax of your story. Describe the choice the protagonist makes to change the course of the conflict.
Falling Action Think about the falling action of your story. Describe one event of falling action that directly follows your protagonist’s choice.
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:
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, what would be the cost of a typical orlando electric bill and how would that compare with the national average? a. the typical orlando electric bill would be $138.66, which would be $17.21 more than the national average. b. the typical orlando electric bill would be $121.54, which would be $17.21 less than the national average. c. the typical orlando electric bill would be $138.66, which would be $76.64 more than the national average. d. the typical orlando electric bill would be $121.54, which would be $76.64 less than the national average.
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.
What is 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
Please help me I can’t do it and don’t add links Three sides of a quadrilateral are the same length q.the length of the fourth side is 7 inches the Preimeter of the quadrilateral is 40 inches write an expression that represents the situations
Answer:
5
Step-by-step explanation:
5
Select the expression that is equal to 12(6+x)
31x
84x
18+12x
72+12x
18+13x
I don't know
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
Which phrase best describes the translation from the graph y = 2(x - 15)2 + 3 to the graph of y = 2(x - 11)2 + 3?
4 units to the left
4 units to the right
8 units to the left
8 units to the right
What change has been caused?
y=2(x-15)²+3y=2(x-15+4)²+3y=2(x-11)²+3Change in x (+4)
Means
translation is 4units leftOption A
Answer:
translate 4 to the left
Step-by-step explanation:
ED 2022
Is this just a fancy way of saying to graph the point (2,-6) or am I supposed to graph a line?
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.
Find the value of X to the nearest tenth.
Step-by-step explanation:
REFER TO THE ATTACHMENT
HEY IN WHICH CLASS YOU ARE ROSA
Answer:
my answer is 7.5
Step-by-step explanation:
let me know if I'm incorrect
A puppy weighs534pounds.
how many ounces does the puppy weigh?
a.23 oz
b.46 oz
c.92 oz
ds.184 oz
Answer:
none of those answers are correct unless u mean 5 and 3/4
Step-by-step explanation:
Four congruent right triangles are cut off the corners of a square. The diagram below shows
the dimensions of thesquare and the congruent right triangles.
What is the area of the shaded part of the diagram?
A. 18 sq. in
B. 20 sq. in
C. 28 sq. in
D. 34 sq. in
Answer:
C
Step-by-step explanation:
Find area of all trinagles and subtract that by total area of square.
what is the equation in slope-intercept form of the line that passes through the points (-26,-11) and (39,34)?
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
Hexagon DEFGHI is translated 8 units down and 3 units to the right. If the coordinates of the pre-image of point F are (-9,2), what are the coordinates of F?
45 points!
x+1(8+5)+y2-3(x3+y-4)=36-4+x7-y-1
pls i need help now!
