Answer:
(3, 0) and (−1, −8)
Equation's:
2x − y = 6y = x² − 9Substitute equation 2 into 12x − (x² − 9) = 6
2x - x² + 9 = 6
-x² + 2x + 9 - 6 = 0
-x² + 2x + 3 = 0
x² - 2x - 3 = 0
x² - 3x + x - 3 = 0
x(x - 3) + 1(x - 3) = 0
(x + 1)(x - 3) = 0
x = -1, x = 3
Find values for yIf x = -1, then y = (-1)² - 9 = -8
If x = 3, then y = (3)² - 9 = 0
Solution Set:(x, y) = (-1, -8), (3, 0)
Describe the graph of a quadratic function below given in table form
NEED HELP!!!!!!!!!!!!!!!!!!!!!!
Answer:
The third answer
Step-by-step explanation:
if p is equivalent to q then q must be equivalent to p. I’m not 100% sure but that’s my best guess. I hope this helps :)
A vehicle purchased for $20,700 depreciates at a constant rate of 4%. Determine the approximate value of the vehicle 15 years after purchase.
The approximate value of the vehicle 15 years after purchase is $11,221.19.
What is the approximate value of the vehicle 15 years after purchase?Depreciation is when the value of an asset declines with the passage of time as a result of wear and tear.
Value of the car = purchase price x (1 - rate of decline)^number of years
20,700 x (1 - 0.04)^15 = $11,221.19
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the density of some steel is7.98gm/cc.how much does 60cc weigh?
Substituting into the formula d=m/v,
[tex]7.98=\frac{m}{60}\\\\m=\boxed{478.8 \text{ gm}}[/tex]
evaluate this exponential expression 5 • (3 + 6)^2 - 6^2
The answer of this expression is 369
We know that to solve a numerical expression, we will calculate with property base form.
When there are symbols in an expression, we first solve the numbers in order that are between:
Parentheses ( ) Brackets [ ] Braces { }The math signs calculated first in order are;
Power - square root Multiplication - divisionAddition - subtractionGiven the expression, the resolution will be:
5 * ( 3 + 6 )² - 6²
5 * 9² - 6²
5 * 81 - 36
406 - 36
369
So, the value of this numeric expression is 369
What are the coordinates of point P on the directed line
segment from A to B such that P is the length of the
line segment from A to B?
A. (-29/4 , -3/2)
B. (-13/4 , 1/2)
C. (-11/4 , -1/2)
D. (25/4 , -1/2)
The coordinate of the point P is (-11/4, -1/2) option (C) is correct because point (-29/4, -3/2) lies on the line.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have a line segment shown in the picture:
From the graph:
Point A( -5, -1) and B(4, 1)
The equation of the line passing through the points:
[tex]\rm (y -1 ) = \dfrac{1+1}{4+5}(x-4)[/tex]
9(y - 1) = 2(x - 4)
The above equation shows the straight-line passing through points A and B.
From the graph point (-11/4, -1/2) lies on the line the coordinate of the point P is (-29/4, -3/2)
Thus, the coordinate of the point P is (-11/4, -1/2) option (C) is correct because point (-29/4, -3/2) lies on the line.
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Large eggs weigh 1/1/2 pounds per dozen. Dawn bought eight large eggs. How much did the eggs weigh
Answer: 1 pound
Step-by-step explanation:
Because 12 eggs= 1.5 pounds. So, you divide 1.5/12 = 0.125. And the 0.125 times 8 = 1 pound
Answer:
1 lb
Step-by-step explanation:
Since 1 dozen(12) eggs weigh 1 1/2 or 3/2 lbs, each egg weights 3/2 ÷ 12 = 3/24 lb
So 8 eggs would weight 8 x 3/24 = 1 lb
What is the product of (x² + x + 2) and (x² − 2x + 3)
Answer:
[tex]x^4-x^3+3x^2-x+6[/tex]
Step-by-step explanation:
Multiply each term in the first equation by all the terms in the second and add them together.
HELP!Which linear function represents the line given by the point-slope equation y - 2 = 4(x − 3)? Of(x) = 6x-1 Of(x) = 8x-6 Of(x) = 4x - 14 Ofix) = 4x - 10 Which linear function represents the line given by the point - slope equation y - 2 = 4 ( x − 3 ) ? Of ( x ) = 6x - 1 Of ( x ) = 8x - 6 Of ( x ) = 4x - 14 Ofix ) = 4x - 10
[tex]y-2=4(x-3)\\\\y-2=4x-12\\\\y=4x-10\\\\\boxed{f(x)=4x-10}[/tex]
Which represents a quadratic function?
f(x) = 2x³ + 2x² - 4
f(x) = -7x²-x+2
f(x)=-3x + 2
f(x) = 0x² + 3x-3
Option B is correct, the function f(x) = -7x² - x + 2 represents a quadratic function
What is quadratic equation?A quadratic function is a polynomial function of the form f(x) = ax² + bx + c, where a, b, and c are constants and a is not equal to zero.
f(x) = -7x² - x + 2 is a quadratic function because it is of the required form.
Specifically, it has a quadratic term (-7x²), a linear term (-x), and a constant term (2).
The other three functions do not have a quadratic term and thus are not quadratic functions.
f(x) = 2x³ + 2x² - 4 is a cubic function because it has a cubic term (2x³).
f(x) = -3x + 2 is a linear function because it has only a linear term (-3x) and a constant term (2).
f(x) = 0x² + 3x - 3 is also a linear function because it has no quadratic term and only a linear term (3x) and a constant term (-3).
Hence, the function f(x) = -7x² - x + 2 represents a quadratic function
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Use the given sample data to find Q3.
49 52 52 52 74 67 55 55
The given sample data the Q3=61
We begin by ordering the data from smallest to largest.
Next, find the median of the data.
The data set has 8 values, so the two middle values are 52 and 55.
49 52 52 52 55 55 67 74
What is the formula for the median?Median = (52 + 55) / 2
Median= 53.5
The third quartile (Q3) is the 25th percentile or the median of the upper half of the data.
To find the median of all the values that lie above 53.5.
Q3 = (55 + 67)/ 2
Therefore the Q3=61
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2x-3<1 or 3x-1<17
Solve compound inequality
The union consists of all of the elements that are contained in each interval.
Inequality Form:
x<6
Interval Notation:
(−∞,6)
Inside the box of every cereal box contains a surprise gift. The store manager assures employees that 18 of the 48 boxes on the shelf have a secret decoder ring and inside the other 30 boxes on the shelf contain a different gift. If two cereal boxes are randomly selected from the shelf to purchase, what is the probability that both of them have the secret decoder ring? (Give answer as a decimal correct to least three decimal places.)
The probability that both of them have the secret decoder ring will be 0.1356.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
Inside the box of every cereal box contains a surprise gift.
The store manager assures employees that 18 of the 48 boxes on the shelf have a secret decoder ring.
And inside the other 30 boxes on the shelf contain a different gift.
If two cereal boxes are randomly selected from the shelf to purchase.
Then the probability that both of them have the secret decoder ring will be
The total events will be
Total event = ⁴⁸C₂
Total event = 1128
The favorable events will be
Favorable event = ¹⁸C₂
Favorable event = 153
Then the probability will be
P = 153 / 1128
P = 0.1356
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Pleas help me please i dont know what this question is
Answer:
A = 6
B = 1
C = 14
Step-by-step explanation:
A = 25 - 19 = 6
B = 6 - 5 = 1
C = 19 - 5 = 14
give brainliest please! <3
Solve the quadratic equation numerically (using tables of x- and y- values). x squared + 7 x + 12 = 0 a. x = -1 or x = -1 c. x = -3 or x = -3 b. x = -4 or x = -3 d. x = 2 or x = -1 Please select the best answer from the choices provided
Answer:
b. x = -4 or x = -3
Step-by-step explanation:
[tex]x^{2} +7x+12[/tex]
To factor this, come up with two numbers that can be multiplied together to get 12, but add to get 7.
We get 4 and 3.
4 + 3 = 7
4 x 3 = 12
Now we can factor with these two numbers:
[tex](x+4)(x+3) = 0[/tex]
Now, solve for x by separating the factors:
[tex]x + 4 = 0[/tex]
[tex]x = -4[/tex]
And,
[tex]x + 3 = 0[/tex]
[tex]x = -3[/tex]
So, the answers are -4 and -3.
Of all awarded prizes, 10% are worth $1000, 20% are worth $100, and 70% are worth $10. Find the expected winnings if you purchase a single ticke
Answer:
$127
Step-by-step explanation:
[tex](.10 \times 1000) + (.20 \times 100) + (.70 \times 10) = 100 + 20 + 7 = 127[/tex]
A house’s was valued at 269,00. After several years, the value increased by 18%. By how much did it increase in dollars? What is the current house value
Answer:
31742
Step-by-step explanation:
[tex]26900 \times \frac{100 + 18}{100 } = 31742 [/tex]
1/4 ÷9=????????????????????????????????????????????????????????????????????????????????????????????????????????????
Answer:
1/36
Step-by-step explanation:
¼ / 9
9 as a fraction is 9/1
use KFC (keep flip change)
¼ x ⅑ = 1/36
[tex] \frac{1}{4} \div 9 \\ \\ first \: way \\ 0.25 \div 9 \\ 0.027 \\ \\ second \: way \: \\ \frac{1}{4} \times \frac{1}{9} \\ \frac{1}{36} \\ 0.027[/tex]
PLEASE GIVE BRAINLIEST
How does understanding of 5 x 12 = 60 help to solve for the product of 5
x 120? Explain in words
Answer:
c6
Step-by-step explanation:
justjustcancacanjustadda0totheproduct of5cxwewtogetthesameresultasx1totoandtimes
3) Number: 640,700
the value of 4 in this number is 40,000
Number: 64,070
the value of 4 in this number is 4,000
So, times greater: 40,000 ÷ 4,000 = 10 times greater.
4)
The multiplication, 5 × 12 = 60. So, 5 × 120 = 600.
There is an extra zero at the very last of the result as '120' was multiplied with 5 instead of '12' which does not have zero at last which changes the result.
Similar cases with: 5 × 10 = 50. So, 5 × 100 = 500.
3x² - 2x + 1 = [?]
x=4
Answer:
3x²-2x+1=?
3(4²)-2(4)+1=?
3(16)-8+1=?
48-8+1=?
40+1=41
Translate to an equation then solve the equation. Seven times the difference of some number and 2 amounts to the quotient of 196 and 14. (Type the question using x as the variable. Do not simplify.) x= ____
Answer:
x = 4
Step-by-step explanation:
7 * ( x-2) = 196/14
7x -14 = 14
7x = 28
x = 4
Two numbers are in the ratio 3:8.
The larger number is 96, find the
sum of the numbers
Answer:
The sum of the numbers is 132
Step-by-step explanation:
First find the smallest number
3/8=x/96 2(96)=8x 288=8x x=36Thus, you found the smallest number
then there sum given as 96+36=132
Sid makes a graph for estimating the y-value.He wants to compare it to the table before he turns it in. Do the table and the graph represent the same function?
Answer:
No
Step-by-step explanation:
The graph and the table do not show the same function as none of the y values on the graph correspond to the y values on the table.
what is the simplified equivalent of the terminating
The simplified fractional equivalent of 0.25 is 1/4 .
The complete question is
What is the simplified fractional equivalent of the terminating decimal 0.25?
What is simplified equivalent ?When a number is solved to a state where it cannot be further simplified , but can be written in a different format , the two numbers are then called the simplified equivalent of each other.
The given number is decimal 0.25
So this number is in its simplified state but can also be written as
0.25 * 1
= 0.25 * 100 /100
= 25/100
= 1/4
Therefore 1/4 is the simplified fractional equivalent of 0.25.
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A triangle with side lengths a, b, and c is shown below.
Which statement about the side lengths must be true?
A a+b>c
B b+c
C a+b
D a+c
The statement about the sides must respect to represent a triangle is given as follows:
A. a + b > c.
What is the condition for 3 lengths to represent a triangle?In a triangle, the sum of the lengths of the two smaller sides has to be greater than the length of the greater side.
The smaller sides for the triangle are given as follows:
a and b.
Hence the statement is:
a + b > c.
(as the sum of the lengths of the smaller sides a and b must be greater than the length of the larger side, which is of c).
Hence the correct statement is given by option A.
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Solve the compound inequality. Graph the solution set and write it in interval notation. x<2 and x>-3
Answer:
Answer is (-3, 2)
Homework:Section 5.3 Homework
Question 5, 5.3.21
Part 1 of 2
HW Score: 50%, 4 of 8 points
Points: 0 of 1
Question content area top
Part 1
In airline applications, failure of a component can result in catastrophe. As a result, many airline components utilize something called triple modular redundancy. This means that a critical component has two backup components that may be utilized should the initial component fail. Suppose a certain critical airline component has a probability of failure of 0.0056 and the system that utilizes the component is part of a triple modular redundancy.
(a) Assuming each component's failure/success is independent of the others, what is the probability all three components fail, resulting in disaster for the flight?
(b) What is the probability at least one of the components does not fail?
The probability that all three components fail is 1.756 × 10⁻⁷. The probability of at least one of the components does not fail 0.9999998244.
What is a Probability?Probability is the likelihood for an event to occur. In a given statistical distribution, the probability explains the range of values and probabilities that a randomized variable could have.
From the given information;
Assuming each component's failure/success is independent of the others: the probability that all three components fail is:
P(three components fail) = (0.0056)^3
P(three components fail) = 1.756 × 10⁻⁷
The probability that at least one does not fail is:
P(at least one does not fail) = 1 - P(all three components fail)
P(at least one does not fail) = 1 - 1.756 × 10⁻⁷
P(at least one does not fail) = 0.9999998244
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Make d the subject of the formula h=d/3+2
PLEASE HELP
Question 3 Alexa wants to use an indirect proof to prove that all rectangles are not squares. She first assumes that all rectangles are squares. Alexa then provides the following counterexample to disprove her assumption. She concludes that all rectangles must not be squares. Which statement best describes Alexa's indirect proof? Alexa's proof is incorrect. She followed the steps of an indirect proof in the wrong order. O Alexa's proof is incorrect. She made an error in her assumption. O Alexa's proof is correct and contains no errors. Alexa's proof is incorrect. She made an error in her counterexample. #
Alexa's proof is incorrect. She made an error in her counterexample.
What is rectangle?"It is a quadrilateral whose all angles measure 90°, opposite sides are parallel and equal in length."
What is square?"It is a parallelogram whose all sides are equal in length and all angles measure 90° "
What is parallelogram?"It is quadrilateral whose opposite sides are parallel and equal in length."
What is counterexample?"It is a special kind of example that disproves a statement. "
For given question,
Alexa wants to use an indirect proof to prove that all rectangles are not squares.
We know that, to prove a theorem indirectly, we assume the hypothesis is false, and then arrive at a contradiction. It follows the that the hypothesis must be true.
Alexa first assumes that all rectangles are squares.
Then she provides counterexample as shown in the given diagram.
The diagram represents the parallelogram not a rectangle.
This means she made an error in her counterexample.
Therefore, Alexa's proof is incorrect. She made an error in her counterexample.
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Factor: 120u² + 125u + 30.
Answer:
5(3u+2)(8u+3)
Step-by-step explanation:
lmk if you want an explanation
Answer:
5(3u+2)(8u+3)
Step-by-step explanation:
Well you first want to factor out any GCF which in this case is 5
5(24u² + 25u + 6)
so now a, b, c = 24, 25, 6.
ac = 144
factors of 144 that add up to 25 are 9 and 16
rewrite equation
(24u² + 9u) + (16u + 6)
factor out GCF
3u(8u+3) + 2(8u + 3)
(3u+2)(8u+3)
plug that back into entire equation
5(3u+2)(8u+3)
