Answer:
cool
Step-by-step explanation:
Examine the system of equations.
y = negative one-fourth x minus 2
x = 4
What is the solution to the system?
(–3, –2)
(4, –3)
(4, –2)
(4, –1)
The answer is 4,-3
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Answer:
4,-3
Step-by-step explanation:
What is the vertex of the graph of the function below?
y= x2 - 10x + 21
O A. (5,-4)
B. (3,0)
O C. (5,0)
OD. (3,-4)
Answer:
Step-by-step explanation:
A. (5,-4)
The vertex of the graph of the function is (5,-4).
The answer is option A.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To find the vertex of the function y = x² - 10x + 21,
We can use the formula:
x = -b/2a
where a is the coefficient of the x² term, b is the coefficient of the x term, and x is the x-coordinate of the vertex.
In this case,
a = 1 and b = -10, so:
x = -(-10)/(2 x 1) = 5
To find the y-coordinate of the vertex, we can substitute x = 5 into the function:
y = (5)² - 10(5) + 21 = -4
Therefore,
The vertex of the graph of the function is (5,-4).
Learn more about functions here:
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Chris paid $9.18 for a necklace. This amount includes a sales tax of 8%. What was the cost of the necklace before tax?
Answer:
8.5 or 8.50
Step-by-step explanation:
None for now
"Not putting it here"
The cost of the necklace before tax, for which Chris paid $9.18 including the sales tax of 8% is $8.5.
What is percentage increase ?Percentage increase is the amount added to the initial value in the percentage part.
Chris paid $9.18 for a necklace. This amount includes a sales tax of 8%.
Let the cost of the necklace before tax is x dollars. Now, the 108% of the x is $9.18. Thus,
[tex]x\times\dfrac{100+8}{100}=9.18\\x=\dfrac{9.18\times100}{108}\\x=8.5[/tex]
Hence, the cost of the necklace before tax, for which Chris paid $9.18 including the sales tax of 8% is $8.5.
Learn more about the percentage increase here;
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Consider a collection of envelopes consisting of 3 red , 3 blue , 1 green , and 2yellow . If three envelopes are selected at random, without replacement, determine the probability that at least one envelope is a red envelope.
Answer:
The probability is 31/35
Step-by-step explanation:
Gabby accumulated $12,000 in credit card debt. If the interest rate is 4% per year and she does not make any payments for 8 years, how much will she owe on this debt in 8 years by compounding continuously?
Answer:
$16,525.53.
Step-by-step explanation:
A=Pe^rt
P=$12,000
r=0.04
t=8 years
Which of the following is a true statement concerning the use of a placebo?
A.
B.
C.
D.
Answer:
its B
Step-by-step explanation:
Brainliest!!!!! Please hurry!!
Answer:
y = (-1/3)(x - 7) + 3
Step-by-step explanation:
m = (6-3)/(-2-7) = - 1/3
y - 3 = (-1/3)(x - 7) ⇒ y = (-1/3)(x - 7) + 3
How do I graph these parabolas
HELP ASAP
Find the 15th term or the geometric sequence 7, -21, 63,
33480783
Step-by-step explanation:Finding the Common Ratio:
We know that the formula for the common ratio of a GP is:
r = aₙ / (aₙ₋₁) (Where n is any integer)
replacing the values, taking n=2
r = -21 / 7
r = -3
Solving for the 15th Term:
We know that the Formula for the nth term of a GP:
G(n) = a * r ⁿ⁻¹ (where a is the first term and r is the common ratio)
replacing the values (taking n = 15 since we need the 15th term)
G(15) = 7 * (-3)¹⁴
G(15) = 33480783
Hence, the 15th term of the given GP is 33480783