Answer:
1
Step-by-step explanation:
since the 2 functions equal each other:
-2x + 3 = 4x - 9
add -2x to both sides
3 = 6x - 9
add 9 to both sides
12 = 6x
divide by 6
2 = x
you have x, now find y, you just need to plug 2 into one of the equations instead of both bc they both equal the same anyway
-2(2) + 3
-4 + 3
-1 = y
Now we'll find x + y, input them and it's 2 + (-1), which is 1
-3-5 1/4find the coordinates of the circumcenter of the triangle with the given vertices. l(3,−6), m(5,−3), n(8,−6)
The coordinates of the circumcenter of the triangle are (5.5, -5.5).
The vertices of the triangle are A(3, -6), B(5, -3), and C(8, -6).The circumcenter is the point at which the perpendicular bisectors of a triangle's sides connect and are equidistant from its three vertices.The midpoint of AB is ((3+5)/2, [-6+(-3)]/2) = (4, -4.5).The midpoint of BC is ((5+8)/2, [-3+(-6)]/2) = (6.5, -4.5).The slope of AB is (-3-(-6))/(5-3) = 3/2.The slope of the perpendicular bisector of AB is -1/(3/2) = -2/3.The equation of the perpendicular bisector of AB is :(y - (-4.5)) = (-2/3)(x - 4)y + 4.5 = (-2/3)(x - 4)3(y + 4.5) = (-2)(x - 4)3y + 13.5 = -2x + 83y = -2x - 5.5The slope of BC is (-6-(-3))/(8-5) = -3/3 = -1The slope of the perpendicular bisector of BC is -1/(-1) = 1The equation of the perpendicular bisector of BC is :(y - (-4.5)) = (1)(x - 6.5)y + 4.5 = x - 6.5y = x - 11We solve for the point of intersection of the perpendicular bisectors and get (5.5, -5.5).To learn more about circumcenter, visit :
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If neither a nor b are equal to zero, which answer most accurately describes the product of (a + b)(a - b)?
The product of a complex conjugate is always an imaginary number.
The product of a complex conjugate is always zero.
The product of a complex conjugate is always a mix of real and imaginary numbers.
The product of a complex conjugate is always a real number.
The statement is correct. The product of a complex conjugate is always a real number.
Given, if neither a nor b are equal to zero then we have to conclude that which of the following statement accurately describes the product of (a + ib)(a - ib). So, let's proceed to solve the question accordingly.
Now, solve the product of (a + ib)(a - ib), we get
(a + ib)(a - ib) = a(a - ib)+ib(a - ib)
= a^2-iab+iab+(ib)^2
= a^2+i^2b^2
we know that, i^2 = -1, then
= a^2+i^2b^2 = a^2+b^2
⇒(a + ib)(a - ib) = a^2+b^2
∴ a^2+b^2 will always give a real number.
Therefore, option (d) is correct. The product of a complex conjugate is always a real number.
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To make 1 batch of vegetable soup, Sam needs 16 ounces of water and 8 ounces of vegetables. How does the amount of water compare to the amount of vegetables?
Answer:
There is two ounces of water for every ounce of vegetables.
Step-by-step explanation:
Given that:
Sam needs 16 ounces of water and 8 ounces of vegetables to make 1 batch of vegetable soup.
Ratio is defined as the quantitative relation between two numbers.
We will use ratio to compare the amount of water to amount of vegetables.
Ratio of water to vegetables
16 : 8
Dividing by 8
[tex]\frac{16}{8}:\frac{8}{8}[/tex]
2:1
Hence,
There is two ounces of water for every ounce of vegetables.
find the ans:- 3.45×1000
Which of the following is equivalent to −3(2x + 5y) − 7(2q + 3p)? −6x − 15y − 14q − 21p −6x + 5y − 14q + 3p −6x + 15y − 14q + 21p −21(2x + 5y − 2q + 3p)
Answer:
−6x − 15y − 14q − 21p
Step-by-step explanation:
Let's simplify step-by-step.
−3(2x+5y)−7(2q+3p)
Distribute:
=(−3)(2x)+(−3)(5y)+(−7)(2q)+(−7)(3p)
=−6x+−15y+−14q+−21p
Answer:
=−21p−14q−6x−15y
The equation −3(2x + 5y) − 7(2q + 3p) is equivalent to −6x − 15y − 14q − 21p.Option A is correct.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that,
−3(2x + 5y) − 7(2q + 3p)
For solving the equation we have to apply the arithmetic operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
First, open the bracket and multiply,
=−3(2x + 5y) − 7(2q + 3p)
=(−3)(2x)+(−3)(5y)+(−7)(2q)+(−7)(3p)
=−6x+−15y+−14q+−21p
Rearrange the equation as
=−21p−14q−6x−15y
Thus, the equation −3(2x + 5y) − 7(2q + 3p) is equivalent to −6x − 15y − 14q − 21p.Option A is correct.
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Solve the equation: x-10 - 2x + 7 = 8 + x - 10 - 3x
Answer: If you're looking for the value of x, it's 1.
Step-by-step explanation:
Add the numbers. x-10-2x+7=8+x-10-3x--->x-3-2x=8+x-10-3x
Combine like terms. x-3-2x=8+x-10-3x ---> -x-3=8+x-10-3x
Subtract the numbers.-x-3=8+x-10-3x---> -x-3=-2+x-3x
Combine like terms. -x-3=-2+-3x---> -x-3=-2-2x
Rearrange terms. -x-3=-2-2x---> -x-3=-2x-2
Hope that helps!
What is 10.5/17.5 in its simplest form
Answer:
0.6
Step-by-step explanation:
Answer:
0.6
Step-by-step explanation:
I hope this helps:)
Simplify the Expression:
2m +1
2m - 1
4m
)
2m – 1
2m +1
10m - 5
Answer:
22m - 5 I believe because I combined the like terms
Answer:
=98m−5
Step-by-step explanation:
You rent an apartment that costs \$1200$1200 per month during the first year, but the rent is set to go up \$70 $70 per year. What would be the monthly rent during the 6th year of living in the apartment?
Answer: 1550
Step-by-step explanation:
a_6=1200+(6-1)(70)
=1200+(5)(70)
=1550
A: Find the mean and standard deviation of the sums you should get when you roll two standard number cubes.
B: Suppose you can replace one number cube with a nonstandard number cube, where any of the numbers 1 through 6 can appear on multiple faces. How can you arrange the numbers on the nonstandard cube so that the mean of the rolls is the same as that of two standard number cubes, but the standard deviation is as large as possible? What is this value?
Answer:
45
Step-by-step explanation:
Question 2
1 pts
A recipe for salad dressing calls for 3 tablespoons of oil for every 2 tablespoons of
vinegar. The line represents the relationship between the amount of oil and the
amount of vinegar needed to make salad dressing according to this recipe. The point
(1, 1.5) is on the line
(1, 1.5)
Give labels for the x-axis and the y-axis as it relates to the situation.
Edit View Insert Format Tools Table
Answer:
See below :)
Step-by-step explanation:
Hello,
So at the bottom, it says "Give lables or the x-axis and the y-axis as it relates to the situtation"
Labels are the things that show what each part of the graph means. See picture I uploaded after reading my explanation.
We first want to find out how (1, 1.5) relates to 3 tbs oil and 2 tbs vinegar
We want to find the same scale factor between the x and ys.
We can see that 1 is half of 2 and 1.5 is half 3 so we can say that,
Vinegar is the x
Oil is the y
Given the domain {-4, 0, 5}, what is the range for the relation 12x, + 6y = 24?
↣ Substitute all domains in the equation for the ranges.
[tex]12x+6y=24[/tex]
[tex]2x+y=4[/tex] ↣ Divide the whole equation by 6.
↣ Substitute x = -4 in the equation.
[tex]2(-4)+y=4\\-8+y=4\\y=4+8\\y=12[/tex]
Our range is 12 when x = -4. In the choice there is only one choice that has range value as 12. Therefore, the answer is B.
↣ If you want me to solve for all ranges then you can reply under this. Since there is only one choice that has 12 as range value, I decide not to continue. So If you want me to solve for all ranges then feel free to reply under this. ↣
HELP!!!! WILL MARK BRAINLIEST!!!!
Answer:
j
Step-by-step explanation:
What is 604,000,000 expressed in scientific notation?
A. 6.04 x 109
B. 0.604 109
C. 6.04 x 10-8
D. 6.04 x 108
Answer:
D would be your answer
Hope this helped
3/a (-2) - 4 = 20 please help me out
Answer:
[tex] \sf \large \: a = \frac{ - 1}{4} [/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
3/a(−2)−4=20
−4a−6/a=20
Step 1: Multiply both sides by a.
−4a−6=20a
−4a−6−20a=20a−20a(Subtract 20a from both sides)
−24a−6=0
−24a−6+6=0+6(Add 6 to both sides)
−24a=6
−24a/−24=6/−24
(Divide both sides by -24)
a=−1/4
Check answers. (Plug them in to make sure they work.)
a=−1/4
(Works in original equation)
A system of linear equations is shown below.
S px +qy = -5
\px – qy = –25
What values of p and q will make the coordinate point (-3,5)
a solution to the system of equations?
A. -5 and 2 B. – 5 and 2
C. 4 and
D. 5 and 2
1
5
16. A-REI.4.12 Given the following system of inequalities, whi
3x –
Answer: D.5 and 2
because (-3;5) is a solution to the system of equations
[tex]\left \{ {{-3p+5q=-5} \atop {-3p-5q=-25}} \right.\\\\<=>\left \{ {{-3p=-15} \atop {5q=10}} \right.\\\\<=>\left \{ {{p=5} \atop {q=2}} \right.[/tex]
Step-by-step explanation:
PLEASE HELP .!!! ILL GIVE BRAINLIEST.. *EXRTA POINTS* .. DONT SKIP :(( !
ILL GIVE 30 POINTS .
if the area of a square is 121 sq.m what is the length of one side of the square ?
Pls help i need it for my flip learning ppt for school it’s urgent
What is the slope of the line y = 5x + 9? Just
write the number for your answer.
in a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 58 and a standard deviation of 10. using the empirical rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 28 and 88? do not enter the percent symbol.
The percentage of daily phone calls numbering 28 and 88 = 99.7%
The given Standard Deviation is 10, and the mean is 58
Using the formula
z = (X -Mean) / Standard Deviation
z value corresponding to X = 28 is
z = (28 - 58)/ 10
z = -30/10
z = -3
z value corresponding to X = 88
z = (88 - 58) / 10
z = 3
According to the empirical rule
"Empirical Rule" is also called as the three sigma rule
We have to know
One Standard Deviation of the mean , covers 68% of data
Two Standard Deviation of the mean , covers 95% of data
Three Standard Deviation of the mean , covers 99.7% of data
Therefore, +/- to the third Standard Deviation covers of the items 99.7% of data.
Therefore, the percentage of daily phone calls numbering 28 and 88 = 99.7%
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Which of the following pairs of values for x and y would justify the claim that the two triangles are congruent?
Answer:
x=3,y=11 (which is A on Edge)
Step-by-step explanation:
solve for y - 11-4=7
solve for x - 2(3) +3 = 9
Please STEP- BY- STEP
Answer:
B = T - 9C/CA
Step-by-step explanation:
1. Switch the sides C(9+AB) = T
2. Divide both sides by C (get rid of what is least attached) C(9+AB)/C and T/C
3. Simplify the equation 9 + BA = T/C
4. Subtract 9, 9+ BA - 9 = T/C - 9
5. Simplify BA = T/C - 9
6. Divide both sides with A like you did with C
Mrs.Howard had 3 hours of talk on her monthly cell phone plan. She used 40 minutes the first week? How many minutes did Mrs.Howard have left on her cell phone?
Answer:
A. 140
Step-by-step explanation:
3 hours converts to 180 minutes, so 180-40=140, therefore A is correct.
A bin in the gym holds 40 balls, which are a mix of
basketballs, soccer balls, and dodgeballs. The ratio
of basketballs to soccer balls is 3:1. The ratio of
soccer balls to dodgeballs is 1:4. How many basket-
balls are in the bin?
The number of marbles in the bag is illustrated using proportions.
There are 15 basketballs in the bin
The given parameters are:
[tex]\mathbf{B : S = 3 : 1}[/tex]
[tex]\mathbf{S : D = 1 : 4}[/tex]
[tex]\mathbf{n = 40}[/tex]
First, we combine the ratios
[tex]\mathbf{B:S:D = 3:1:4}[/tex]
The number of basketballs is calculated as follows:
[tex]\mathbf{Basketball= \frac{B}{B + S + D} \times n}}[/tex]
So, we have:
[tex]\mathbf{Basketball= \frac{3}{3 + 1 + 4} \times 40}[/tex]
[tex]\mathbf{Basketball= \frac{3}{8} \times 40}[/tex]
[tex]\mathbf{Basketball= 3 \times 5}[/tex]
[tex]\mathbf{Basketball= 15}[/tex]
Hence, there are 15 basketballs in the bin
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Heather bought a pair of shoes for$75. She paid an 8.4% sales tax. What is the amount of sales tax she paid?
Answer: 6.3
Step-by-step explanation:
How many solutions does the equation -2 + 2y + 3 = 3
a) none
b) one
c) infinity
d) three
Answer:
one
Step-by-step explanation:
y=1
hope this helps
Answer:
one
Step-by-step explanation:
What is
-12-6p-(-12)
Answer:
-6p
Step-by-step explanation:
-(-12) becomes 12 as (-12) x (-1) is 12
so, -12 + 12 -6p = -6p
how do you find the square root of a whole number which are not perfect square
Answer: Finding the square root of numbers that aren't perfect squares
Divide: Divide the number that you are finding the squared root for with the number you picked in step 1. Average: Take the average of the number you got in step 2 and the square root. Repeat: Repeat steps 2 and 3 until the number is accurate enough for you.
Step-by-step explanation:
BRAINLESS PLEASE
a frequency distribution shows the number of observations for each class (class being a value or a range of values), and a relative frequency distribution shows how close the values are to each other.
A frequency distribution shows the number of observations for each class (class is a value or a range of values), and a relative frequency distribution shows how close the values are to each other: TRUE
What is a frequency distribution?
In statistics, a frequency distribution is a graph or data set that shows the frequency of occurrence of each possible outcome of a repeatable event observed many times. Election results and test scores listed by percentile are simple examples. A frequency distribution can be represented graphically as a histogram or a pie chart. The number of observations for each class is shown in a frequency distribution (class is a value or a range of values).What is a relative frequency distribution?
A relative frequency distribution, which is related to a probability distribution and is widely used in statistics, shows the proportion of the total number of observations associated with each value or class of values. The relative frequency distribution demonstrates how close the values are to one another.Therefore, the statement "a frequency distribution shows the number of observations for each class (class is a value or a range of values), and a relative frequency distribution shows how close the values are to each other" is TRUE.
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The complete question is given below:
A frequency distribution shows the number of observations for each class (class is a value or a range of values), and a relative frequency distribution shows how close the values are to each other. TRUE or FALSE
PLEASE HELP WITH EXPLANATION!! THANK YOU ILL GIVE BRAINLEST
Answer:
All three of the answers, when rounded to the nearest tenth and turned into a decimal, are 0.9.
Step-by-step explanation: