Answer:
its A (4,4)
Step-by-step explanation:
The solution of the system y = x² - 6x + 12 and y = 2x - 4 is (4, 4).
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, y = x² - 6x + 12 and y = 2x - 4.
∴ The solution set of this system is,
x² - 6x + 12 = 2x - 4.
x² - 8x + 16 = 0.
x² - 4x - 4x + 16 = 0.
x(x - 4) - 4(x - 4) = 0.
(x - 4)(x - 4) = 0.
x - 4 = 0 Or x - 4 = 0.
x = 4 Or x = 4.
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For which value of x is the row in the table of values incorrect
Answer:
x = 2 is incorrect
Step-by-step explanation:
The answer should be 3 instead of 4
Linear equation 1+2x=5x+3
Answer:x=-2/3
Step-by-step explanation:
Rewrite the equation B - 7,536 = 2t as a function of t.
Answer:
B = 2t + 7,536
Step-by-step explanation:
B - 7,536 = 2t
Add 7,536 to both sides.
B = 2t + 7,536
What are the steps of adding and subtracting a fraction?
Step-by-step explanation: To add and subtract fractions with the same denominator, or bottom number, place the 2 fractions side by side. Add or subtract the numerators, or the top numbers, and write the result in a new fraction on the top. The bottom number of the answer will be the same as the denominator of the original fractions.
A medication states that the odds of having an allergic reaction are 1 in 50. What is that probability states as a percent?
1/5
1/10
1/20
1/500
As a percent, the odds of having an allergic reaction would be 2%.
This is because 1 in 50 of a chance, is equal to 1/50, and to make this a percent out of 100, just multiply both parts of the fraction by 2.
None of the choices equal 1/50, so let's just make it a percentage anyway.
1/50 ---> 0.02
0.02 ---> 2%
The answer is 2%, or 1/50 as a fraction.
The model of a new apartment building is shown. The
architect plans for the building to be 144 times the
dimensions of the model. What will be the volume and
surface area of the new building when it is completed?
To find the dimensions of the actual floor of the new building, multiply the dimensions of the model by the scale factor. The volume of the new building is found by multiplying the dimensions of the actual floor by the height. The surface area is calculated by summing the areas of all six faces of the rectangular prism.
Explanation:To find the dimensions of the actual floor, we need to multiply the dimensions of the model by the scale factor. Let's assume the dimensions of the model floor are length = 10 meters and width = 5 meters. Since the architect plans for the building to be 144 times the dimensions of the model, the length of the actual floor would be 10 x 144 = 1440 meters and the width would be 5 x 144 = 720 meters.
The volume of a rectangular prism (the building) can be calculated by multiplying its length, width, and height. Assuming the height is 3 meters, the volume of the new building would be 1440 x 720 x 3 = 2,073,600 cubic meters.
The surface area of the new building can be calculated by summing the areas of all six faces of the rectangular prism. The formula for surface area is 2*(length x width + width x height + height x length). Using the dimensions from before, the surface area would be 2*(1440 x 720 + 720 x 3 + 3 x 1440) = 2,394,240 square meters.
Write down the square number between 26 and 63 that is odd?
Ans is 49.
If we multiply 7*7 then we can get 49 as result.49 is the square number of 7.
HOPE THIS WILL HELP U..✌
The square number between 26 and 63 that is odd will be 49.
What is the number pattern?A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.
The number is between 26 and 63.
26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63
From the given numbers,
49 is the square number between 26 and 63 which is odd.
Here, 7 × 7 = 49
Therefore, the square number between 26 and 63 is 49
odd is 49 as 7 × 7 = 49.
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Heather flipped a coin five times, and each time it came up heads. Heather flips the coin one more time. Which is the theoretical probability that it will come up tails?
Answer:
1/2
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
The prior flips have no influence on the outcome of the 6th flip. its still a 50-50 chance to flip tails
8 yo the power of 2 ÷4×(2+3)-9
PLEASE HELP ASAP!!
Three-fifths of the days last year were sunny. If there were 365 days in the year, Answer
of them were sunny.
Answer:219
Step-by-step explanation:
what is 4x + 3x if x=2
Answer:
14
Step-by-step explanation:
Step 1: Plug in 2 for x
4(2) + 3(2)
8 + 6
14
Answer: 14
Answer:
14
Step-by-step explanation:
[tex]4(2) + 3(2)[/tex]
[tex]8 + 6[/tex]
[tex]14[/tex]
Convert each degree measure into radians.
1) -290°
Answer:
-290/180 × pi
-29pi/18
Or, -5.06
Pleaseeee helppppp me
Answer:
Step-by-step explanation:
Good luck
a 3 dimensional figure has a square base and 4 lateral faces that meet at a point. Explain the difference between the cross sections when a slice is made perpendicular to the base through the vertex , and when slice is made perpendicular to the base and not through the vertex
Answer:
a slice is made perpendicular to the base through the vertex: triangle
slice is made perpendicular to the base and not through the vertex: trapezoid
Step-by-step explanation:
a slice is made perpendicular to the base through the vertex: triangle
slice is made perpendicular to the base and not through the vertex: trapezoid
Answer:
Sample response/explanation: The figure is a square pyramid. A slice made perpendicular to the base and through the vertex creates a cross section with the shape of a triangle. A slice made perpendicular to the base and not through the vertex is a trapezoid.
Step-by-step explanation:
Edge 2020 happy new year
Simplify the expression.
6m +10 - 10m =
Which expression is equivalent to 8x - 2y + x + x?
4x
6x -2y
8x
10x - 2y
Answer:
Problem 1
6m + 10 - 10m
4m + 10
Answer: 4m + 10
Problem 2
8x - 2y + x + x
8x + 2x - 2y
10x - 2y
Answer: Option D, 10x - 2y
Which linear equation represents the data given in the table?
A) y = 6x + 6
B) y = 2x + 6
C) y = 6x − 6
D) y = 2x − 6
Answer:
the equation is C: y=6x-6
Answer:
Step-by-step explanation:
(1,0) (2,6)
(6-0)/(2-1)
6/1= 6
y - 0 = 6(x -1)
y = 6x - 6
answer is c
If 1/2 cup of fruit cocktail 13g of sugar, then 1 1/4 cup of fruit cocktail contains how many grams of sugar?
Answer: 32.5g of sugar
Step-by-step explanation:
if 1/2 cup of fruit cocktail is 13g of sugar then half of that, or 1/4 cup is going to be 6.5g of sugar. With that in mind, multiplying our 1/2 by 2 to give us one full cup of fruit cocktail will tell us that there is 26g of sugar in one cup. Adding our 1/4 cup to our whole cup will give us 32.5g of sugar in 1 1/4 cups of fruit cocktail.
Answer: There are 32.5g of sugar in 1 1/4 cup of fruit cocktail.
Step-by-step explanation:
13/2= 6.5
1/4 cups = 6.5g of sugar
6.5x5= 32.5g
Hope this helps!
True or False: a = 6 is a solution to the inequalty a > 6.
Answer:
False
Step-by-step explanation:
If you do a = 6, then you get 6 > 6 which is not true. 6 isn't greater than itself.
Answer:
False
Step-by-step explanation:
Your inequality shows that a is greater than 6, thus meaning can not equal 6.
WILL MARK BRAINLIEST
Each of the college students shown below has been chosen to represent their club on campus. One of the students will be selected at random to attend a special dinner with the president of the college.
Enter all fractions in reduced form.
A. Use the picture to complete the following table.
Long Sleeves Short Sleeves Rolled-up Sleeves
Male
Female
B. What is the probability that the student selected will be a female with long sleeves?
C. What is the probability that the student selected will be a male with rolled-up sleeves?
B. Probability of long sleeve female is zero.
C. Probability of rolled-up male is 1/4.
Step-by-step explanation:
A. The table from the picture :
Long Sleeves Short Sleeves Rolled-up Sleeves
Male 3 0 2
Female 0 3 0
B. The probability that the student selected will be a female with long sleeves :
From the table,
It is determined that no female are with long sleeve.
So, the probability of choosing female with long sleeve is 0.
C. The probability that the student selected will be a male with rolled-up sleeves :
From the table,
The number of males with rolled-up sleeves = 2
Total number of students = 8
P(rolled-up male) = 2/8 = 1/4.
The probability of selecting a female with long sleeves is 0, and the probability of selecting a male with rolled-up sleeves is 1/4.
Let's first complete the table...
1. Long Sleeves:
Male: 3Female: 02. Short Sleeves:
Male: 0Female: 33. Rolled-up Sleeves:
Male: 2Female: 0Probability Calculations
Total number of students = 3 (Male, Long Sleeves) + 0 (Female, Long Sleeves) + 0 (Male, Short Sleeves) + 3 (Female, Short Sleeves) + 2 (Male, Rolled-up Sleeves) + 0 (Female, Rolled-up Sleeves) = 8.
Probability of Selecting a Female with Long Sleeves
P(Female with Long Sleeves) = Number of Females with Long Sleeves / Total Students = 0/8 = 0.
Probability of Selecting a Male with Rolled-up Sleeves
P(Male with Rolled-up Sleeves) = Number of Males with Rolled-up Sleeves / Total Students = 2/8 = 1/4.
Therefore, the probability of selecting a female with long sleeves is 0, and the probability of selecting a male with rolled-up sleeves is 1/4.
Complete question: Each of the college students shown below has been chosen to represent their club on campus. One of the students will be selected at random to attend a special dinner with the president of the college.
Enter all fractions in reduced form.
A. Use the picture to complete the following table.
Long Sleeves Short Sleeves Rolled-up Sleeves
Male 3 0 2
Female 0 3 0
B. What is the probability that the student selected will be a female with long sleeves?
C. What is the probability that the student selected will be a male with rolled-up sleeves?
4x - 5y = 14
If y = 2, what value of x satisfies the given equation?
A) 6
B) 8
C) 10
D) 24
Answer:
A
Step-by-step explanation:
Given
4x - 5y = 14 ← substitute y = 2 into the equation and solve for x
4x - 5(2) = 14, that is
4x - 10 = 14 ( add 10 to both sides )
4x = 24 ( divide both sides by 4 )
x = 6 → A
Please help. I'll mark you as brainliest if answered correctly. :)
Two complex numbers are represented by c + di and e-fi, where c, d, e, and f are positive real numbers. In what two quadrants may the product of these complex numbers lie? Explain your answer in complete sentences.
Answer:
What are the quadrants? if the quadrants are c,d,e, and f then it would be c and d because both of the numbers lie on a y complex.
Step-by-step explanation:
⭐ Answered by Kash ʕ •㉨• ʔ⭐
⭐ Brainliest would be appreciated!⭐
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1) 8w - s use w = 8 and s = 9
What is the answer for this
Answer: 55
Step-by-step explanation:
8w - s , give w= 8 and s = 9
Substitute w and s in the equation with the values
8 (8) - 9
8 x 8 - 9
Apply BODMAS
64 - 9= 55
I hope this helps.
Each notebook contains 60 sheets
try using photo math
I hope it helps
solve the inequality
2r^2-13x+15<0
Answer:
x > 2r^2/13 + 15/13
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
x > 2r^2/13 + 15/13
Answer: [tex]\bold{\dfrac{3}{2}<x<5\quad \rightarrow \quad \text{Interval Notation}: \bigg(\dfrac{3}{2},5\bigg)}[/tex]
Step-by-step explanation:
First, factor the inequality and solve for x to find the zeros.
Then, choose test points on the outside of those values and between them.
Plug them in to determine which one(s) yield a negative (< 0).
2x² - 13x + 15 < 0
(2x - 3)(x - 5) < 0
2x - 3 = 0 and x - 5 = 0
x = 3/2 and x = 5
I choose the left test point of 0 (2(0) - 3) × (0 - 5) > 0 (+)
I choose the between test point of 2 (2(2) - 3) × (2 - 5) < 0 (-)
I choose the right test point of 6 (2(6) - 3) × (6 - 5) > 0 (+)
Illustration of Graph:
+ --- +
←----|----------o----------------|---------------o--------------|----→
0 3/2 2 5 6
Since the "between" test point is the only one that yielded a negative, then the solution is the values between 3/2 and 5.
The equation of a parabola is y=x^2-10x+27. Write the equation in vertex form
Answer:
[tex]\large \boxed{y = (x - 5)^{2} + 2 }[/tex]
Step-by-step explanation:
y = x² - 10x + 27
y = ax² + bx + c
This is the general form of the equation for a parabola.
We must convert it to the vertex form
y = (x - h)² + k, where (h,k) are the coordinates of the vertex.
We can do this by completing the square.
[tex]\begin{array}{rcll}y & = & x^{2} - 10x + 27 & \\y - 27 & = & x^{2} - 10x & \text{Subtracted 27 from each side}\\y - 27&= & x^{2} - 10x + 25 - 25 & \text{Added and subtracted (b/2)}^{2}\\y - 27&= & (x - 5)^{2} - 25 & \text{Wrote the first three terms as the square of a binomial}\\y& = & \mathbf{(x - 5)^{2} + 2} & \text{Added 27 to each side}\\\end{array}\\\text{The vertex form of the parabola is $\large \boxed{\mathbf{y = (x - 5)^{2} + 2 }}$}[/tex]The figure below shows that your parabola has its vertex at (5,2).
In a small U.S. city, the ratio of people to cars is approximately 1.85 : 1. If 12,100 people live in
the city, to the nearest 100 cars, approximately how many cars are in the city?
Answer:
[tex]6,500\ cars[/tex]
Step-by-step explanation:
Let
x ---> the number of people
y ---> the number of cars
we know that
The ratio of people to cars is approximately 1.85 : 1
so
[tex]\frac{x}{y}=\frac{1.85}{1}[/tex]
[tex]x=1.85y[/tex] -----> equation A
12,100 people live in the city
so
[tex]x=12,100[/tex]
substitute the value of x in the equation A
[tex]12,100=1.85y[/tex]
solve for y
[tex]y=6,540.54\ cars[/tex]
to the nearest 100 car
[tex]y=6,500\ cars[/tex]
Final answer:
To find the number of cars in the city, divide 12,100 by the ratio of people to cars (1.85:1), resulting in approximately 6,540.05 cars. Rounded to the nearest hundred, the city has about 6,500 cars.
Explanation:
The question is about finding the number of cars in a small U.S. city given the ratio of people to cars is approximately 1.85:1 and there are 12,100 people living in the city. To solve this, we divide the total number of people by the given ratio to find the approximate number of cars. Firstly, find the proportion of cars to people by taking the reciprocal of 1.85, which gives us approximately 0.5405. Then, multiply this proportion by the total population to estimate the number of cars.
Calculation:
Number of cars = Total population × Proportion of cars to people
Number of cars = 12,100 × 0.5405 ≈ 6,540.05
Rounded to the nearest hundred, the city has approximately 6,500 cars.
What is (3x+2)+(−4x+4)
Answer:
-x + 6
Step-by-step explanation:
(3x + 2) + (-4x + 4)
Distribute + into the bracket (-4x + 4). When you do so, + sign becomes -
3x + 2 - 4x + 4
Rearrange the expression
3x - 4x + 2 + 4
-x + 6
What is the volume of a cone with a Radius of 2 and height of 9
[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r = 2\\ h = 9 \end{cases}\implies V=\cfrac{\pi (2)^2(9)}{3}\implies V=12\pi \implies V\approx 37.7[/tex]
A can of mixed nuts has 5 peanuts for every 2 cashews. There are 175 peanuts in the can .How many cashews are there ?
Step-by-step explanation:
ratio
peanuts to cashews is 5:2
so
5:2
175:?
175/5 is 35
so both side times by 35
35 X 2 is 70 cashews
Answer:
There would be 70 cashews if there are 175 peanuts.
A city council member wanted to know how his constituents felt about a planned rezoning. He randomly selected 150 names from the city phone directory and conducted a phone survey. Identify the population and sample for this situation. A) The population is residents of the city; the sample is the registered voters in the city. B) The population is everyone listed in the city phone directory; the sample is registered voters in the city C) The population is registered voters in the city; the sample is everyone listed in the city phone directory. D) The population is everyone listed in the city phone directory; the sample is the 150 people selected.
Answer:
it is D
Step-by-step explanation: it just is i did it on usa test prep