Answer:
1. [tex]x^2-6x+8=0[/tex]
2. [tex](x-4)(x-2)=0[/tex]
3. [tex]x=4 \text{ and } x=2[/tex]
4. [tex]x=4 \text{ and } x=2[/tex]
Step-by-step explanation:
1. When using substitution all we do would be is substituse the y for a 3.
This leaves us with the equation:
[tex]3=-x^2+6x-5[/tex]
Rewriting it we get:
[tex]0=-x^2+6x-8[/tex]
or if we shift the 0 to the other side:
[tex]x^2-6x+8=0[/tex]
2. In order to factor the equation we can use the butterfly method:
[tex]\left[\begin{array}{ccc}1&-4\\1&-2\end{array}\right][/tex]
So it factors out to:
[tex](x-4)(x-2)=0[/tex]
You can also use the quadratic formula.
3. To find the solutions we just set each factor to 0
[tex]x-4=0\\\text{and}\\x-2=0[/tex]
So the x-values would be:
[tex]x=4 \text{ and } x=2[/tex]
4. To find the solution to the system we just plug in the values and it turns out to be the same numbers as before.
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:
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
How many edges does this shape have?
A. 6
B. 12
C. 16
D. 18
Answer:
B. 12
Step-by-step explanation:
Edges are the straight lines
Easy question! First one to answer gets brainliest!
X=5+7
x=12
.................
Help me please-math-
can't really see the graph but it's probably 18
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?
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!
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
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]
From a set of whole numbers from 1 to 32, what is the probability of randomly choosing a number either divisible by 5 or divisible by 3?
A) 1/2
B) 7/16
C)15/32
D)5/8
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
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem:
There is a total of 32 numbers.Those that are divisible by 3, 5 or both are: {3, 5, 6, 9, 10, 12, 15, 18, 20, 21, 24, 25, 27, 30}, that is, 14 numbers.Hence the probability is given by:
p = 14/32 = 7/16.
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ1
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:
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
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
Instructions: Find the missing side. Round your answer to the nearest tenth.
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]
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
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.
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
243+222 Based on the passage, which statement is fact rather than fictio
Answer:465
Step-by-step explanation:
Answer: the answer is d) several players have asthma .
243+222=465
Step-by-step explanation:
which is true because players do have asthma and ii also took the test and made a 100 .
Determine which sets of lengths can form a right triangle
[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.
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
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?
45 points!
x+1(8+5)+y2-3(x3+y-4)=36-4+x7-y-1
pls i need help now!
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
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]
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
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
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.
Explain the difference between a polygon that is regular and a polygon that is not regular
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:
