=========================================================
Explanation:
Vertex form is
y = a(x-h)^2 + k
We are told the vertex is (3,-2), so we know (h,k) = (3,-2)
y = a(x-h)^2 + k will update to y = a(x-3)^2 - 2
--------
Then we also know that (x,y) = (4,3) is a point on the parabola. Plug those x and y values into the equation and solve for 'a'
y = a(x-3)^2 - 2
3 = a(4-3)^2 - 2
3 = a(1)^2 - 2
3 = a - 2
3+2 = a
5 = a
a = 5
This is the coefficient of the x^2 term since the standard form is y = ax^2+bx+c.
In 1986 and earthquake measuring 6.0 on the Richter scale hit the north east section of a state how many times as intense as a magnitude 3.0 earthquake was it?
Answer:
1000
Step-by-step explanation:
each number is 10 times more intense than the previous
PLEASE ANSWER ASAP 10 points WILL MARK THE BRAINIEST!
A key code must contain 4 numerals. There are 10 numerals available. Using
these numerals, how many different key codes may be created?
O A. 180
B. 210
O C. 3,060
O D. 5,040
Answer:
B, 210
Step-by-step explanation:
there is 10 options for the first one, 9 option for the second, 8 options for the third and 7 for the last. 10*9*8*7=5040, which is d
First number can be 1 out of 10
Second number can be 1 out of 9
Third number can be 1 out of 8
Fourth number can be 1 out of 7
Total combinations = 10 x 9 x 8 x 7 = 5,040
The answer is D. 5,040
question: if angle 1 measure 120 degrees what other angles would have the same 120 degrees?
Answer:
4,5, and 8
Step-by-step explanation:
corresponding angles
Answer:
Angle 4 coz vertical angle of angle 1
Angle 5 coz corresponding angle
Angle 8 coz vertical angle of angle 5
A building 50 feet high casts a shadow 68 feet long. Find the measure of the angle of elevation of the sun. Round answer to nearest while degree
Answer:
36 °
Step-by-step explanation:
In this case a rectangular triangle is formed so we can use the trigonometric functions to calculate the angle, they give us the value of the two legs, therefore we can apply the tangent function.
Tan A ° = opposite / adjacent
replacing:
Tan A ° = 50/68
Tan A ° = 0.735
A ° = arc tan (0.735)
A ° = 36.32
Which means that the angle of inclination is 36°
Find the discriminant: *
7x2 – 5 = 2x + 9x2
Answer:
-36
Step-by-step explanation:
You have to rearrange the quadratic into an equation where one side is zero.
This example works by subtracting 7x^2 from both sides leaving
-5 = 9x^2 - 7x^2 + 2x
-5 = 2x^2 + 2x
Now add 5 to both sides
-5 + 5 = 2x^2 + 2x + 5
0 = 2x^2 + 2x + 5
Now the equation you gave is in the form of a quadratic. The discriminate is found from
a = 2
b = 2
c = 5
b^2 - 4ac is the discriminate
2^2 - 4(2)(5)
4 - 40
Discrimate = 4 - 40 = - 36
21
*Note: Picture not drawn to
If w = 4 in, I = 6 in, sı = 16.49 in, and s2 = 17.09 in, what is the surface area
A. 430.6 in2
B.
334.6 in 2
C.
491.76 in 2
• D.
369.44 in 2
Poset
Subm
Answer: gradpoint “b”
Step-by-step explanation:
A company starts to track the number of phone calls received each month. Information about the number of phone calls the company received the first months of tracking is listed below. ~ During the first month, the company received 4,264 phone calls. ~ During the second month, the company received 25% more phone calls than in the first month. ~ During the third month, the company received 6,396 phone calls. What was the percent increase in the number of phone calls from the second month to the third month? Show your work.
Answer:
Percent increase : 20%
Step-by-step explanation: First month: 4,264 phone calls.
Second month: 25% more phone calls than in the first month.
To know the total phone calls received during this month you must take 25% of 4,264 and then add it to the 4,264 call of the first month:
4,264*25%=1,066
Total phone calls of the second month: 1,066+ 4,264= 5,330
You can also calculate the total phone calls of the second month by multiplying 4264 times 1,25 because times 1 is the same number and times 0,25 is the percent increase in the number of calls:
4,264*1,25= 5,330
Third month: 6,396 phone calls
To know the percent increase in the number of phone calls from the second month to the third month you must use the percent change formula:
Percent change: ((value2-value1)/ value 1 )*100%
Value 2: phone calls received during the third month
Value 1: phone calls received during the second month
Percent change: ((6,396-5,330)/ 5,330 )*100%
Percent increase: 20%
What is 5 2/3 divided by 3 1/9?? PLEASE HELP!!! D:
Answer:1 23/28
Step-by-step explanation:
17/3/3 1/9
17/3/28/9
51/28
1 23/28
PLEASE HELP, BEEN STUCK FOR AN HOUR!!
Function f is an exponential function that has an initial value of 64 and decreases by 50% as x increases by 1 unit.
Function g is represented by the table.
x 0 1 2 3 4
g(x) 75 43 27 19 15
Which statement correctly compares the two functions on the interval [0, 4]?
A.
Both functions are decreasing at the same average rate on that interval.
B.
Function f is decreasing, but function g is increasing, on that interval.
C.
Both functions are decreasing, but function f is decreasing at a faster average rate on that interval.
D.
Both functions are decreasing, but function g is decreasing at a faster average rate on that interval.
Answer: C.
Both functions are decreasing, but function f is decreasing at a faster average rate on that interval.
Step-by-step explanation:
Let first work out g(x)
When x = 0
g(x) = 75
When x = 1
g(x) = 75( 1 - 50%)
g(x) = 75(0.5) = 37.5
Which is less than 43
With this, we can conclude that:
Both functions are decreasing, but function f is decreasing at a faster average rate on that interval.
Answer:
Step-by-step explanation:
The awnser is c because the person above me was right
Kevin is buying a cover for his circular swimming pool. If the diameter is 20 feet, how much
material will it take to cover the pool? Use 3.14 for pi.
31.4 ft2
62.8 ft2
98.6 ft2
314 ft?
Answer:
314 ft²
Step-by-step explanation:
3.14(10)²
(3.14)(100)
314
The parent function is f(x) = 2^x-6 + 3 and the new function is g(x) = 2^x-3 + 2
How does the graph change fromf (x)tog(x)?
Select each correct answer.
The graph is shifted 3 units right.
The graph is shifted 1 unit up.
The graph is shifted 1 unit down.
The graph is shifted 3 units left.
Answer:
Options C and D.
Step-by-step explanation:
The given functions are
[tex]f(x)=2^{x-6}+3[/tex]
[tex]g(x)=2^{x-3}+2[/tex]
We need to find the transformation from f(x) to g(x).
Now, write the function g(x) in the form of f(x).
[tex]g(x)=2^{x+3-3-3}+2+1-1[/tex]
[tex]g(x)=[2^{(x+3)-6}+3]-1[/tex]
[tex]g(x)=f(x+3)-1[/tex] ...(1)
The translation is defined as
[tex]g(x)=f(x+a)+b[/tex] .... (2)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
From (1) and (2), we get
[tex]a=3>0[/tex], so graph shifts 3 units left.
[tex]b=-1<0[/tex], so graph shifts 1 unit down.
Therefore, the correct options are C and D.
The sum of 2 numbers is 24. One number is equal to four times the second number added by 4. Determine the two numbers.
Answer: smaller number is 4, bigger number is 20
Step-by-step explanation:
24 - 4 = 20
4 * 4 = 16
20 - 16 = 4
Answer:
4 and 20.
Step-by-step explanation:
PLEASE HELP ME THIS IS URGENT I AM BEING TIMED!!!
A book has 280 pages. Of the 280 pages, 210 have printing, 40 have pictures, and 30 are blank. Write your answers as fractions. Represent a fraction using the / symbol.
What is the probability of not opening to a printed page?
Answer:
1/4
Step-by-step explanation:
printed part = 210
total pages = 280
probability to open printed page 210/280 =3/4
probability to not open printed page = 1 - probability to open printed page = 1 - 3/4 = 1/4
Answer:
1/4
Step-by-step explanation:
280-210=70
P=70/280=1/4
What addition expression is shown on the
number line?
8
+
?
15
You start at (7, 0). You move up 9 units. Where do you end?
Answer:
(7, 9)
Step-by-step explanation:
Answer:
Your answer should be 7, 9
My mother pays my brother twice as much allowance each week as she pays me because he cleans the bathrooms. Together we get $27 each week. How much is my brother's allowance each week? A. $4.50 B. $9 C. $18 D. $27
Answer:
B
Step-by-step explanation:
Brother= 9*2=18
Me= 9
B+M= 18+9= 27
Answer:
C. $18
Step-by-step explanation:
The ratio between brother and her is 2:1. Therefore, there are 3 parts. $27/3 = $9. Thus, her brother gets 2*$9 = $18 and she gets 1*$9 = $9
Determine the value of k. answers: A) 18° B) 180° C) 108° D) 97°
Answer:
C) 108°
Step-by-step explanation:
72°+k°=180° (straight line)
Subtract 72° from both sides
k°=108°
Our answer is C)108°.
Value of k = 108°
The correct option is C.
What is exterior angle?Exterior angles are angles that are parallel to the inner angles of a polygon but lie on the outside of it. The measure of an exterior angle is equal to the sum of the two internal opposite angles.
Given,
In a triangle,
Interior angles are
A = 72°,
B = 83° and
C = 25°
exterior angle A = k°
Exterior angle A = Interior angle B + Interior angle C
k = 83° + 25°
k = 108°
Hence, 108° is the value of k.
Learn more about exterior angle here:
brainly.com/question/28835566
#SPJ2
Please help! Read question 5.
The sum of two numbers is 58. Their difference is 12. Find the numbers.
Solve the equation x + 7 = 12
Answer:
5
Step-by-step explanation:
x=12-7
x = 5
Answer:
x=5
Step-by-step explanation:
x+7=12
If you do the same thing to both sides of the equation, then the trueness of the equation does not change. Therefore, I can subtract 7 from both sides of the equation to isolate x.
x+7-7=12-7
x=5
Hope this helps!
Joe took $12 to the arcade. Each game cost $.50 to play. This situation can be modeled with the equation y + -.50 x+ 12. This represents the relationship between money Joe has remaining, y, and the number of games he plays, x. Use the function to determine the x-intercept.
State the Domain and Range for this equation in the context of the problem scenario?
Answer:
x-intercept: x=24
DOMAIN: (0,24) where x∈Natural Numbers
RANGE: (0,12) where y∈Natural Numbers
Step-by-step explanation:
Remain money = y
Number of games = x
Given function:
[tex]y=12-0.5x\\[/tex]
x-intercept:x-intecept is the value of x where y becomes zero.
Substitute y=0 in the given equation:
[tex]0=12-0.5x\\0.5x=12\\x=\frac{12}{0.5}\\x=24[/tex]
Domain:Domain is a set of all possible values of x.
x= No. of games (So x cannot be negative)
y= Remain Amount (So y cannot be negative)
So the minimum value of x is 0 because x cannot be negative.
Maximum value of x is the value for which y doesn't become negative. For any value of x>24, y <0 which is not possible.
So maximum value of x is 24
DOMAIN: (0,24) where x∈Natural Numbers
Range:
Range is a set of all outcomes of y for all possible values of x.
For x=0 , y =12
for x=24 , y = 0
So
RANGE: (0,12) where y∈Natural Numbers
Find the infinite geometric sum of 4+2.4+1.44+...
Answer:
4+2.4=6.4+1.44=7.84
The infinite geometric sum of 4+2.4+1.44+... will be 10.
What is the common ratio?At each point in the sequence, you multiply or divide by the common ratio. Divide two sets of phrases that follow one another to find it. Whichever pair of terms is picked, as long as they appear next to one another in the sequence, is irrelevant.
It is given that, the sequence is 4+2.4+1.44+...
The sequence is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.
It is obtained that the common ratio is,
r=2.4/4
r=0.6
The Sum of an infinite geometric sequence is,
S = a / (1-r)
S=4 / (1-0.6)
S=10
Thus, the infinite geometric sum of 4+2.4+1.44+... will be 10.
Learn more about common ratios here,
https://brainly.com/question/13637951
#SPJ2
which statements correctly describe the association between the variables A and B ? select each correct answer.
Divide: Multiple chocie PLEASE HELP
Answer:
p+q
Step-by-step explanation:
[tex]\dfrac{p^2-q^2}{p+q}\div\dfrac{p-q}{p+q}= \\\\\\\dfrac{(p-q)(p+q)}{p+q}\times \dfrac{p+q}{p-q}= \\\\\\\dfrac{(p-q)(p+q)}{p-q}= \\\\\\p+q[/tex]
Hope this helps!
Answer:
p+q
Step-by-step explanation:
We can use difference of squares to make the fractions
[tex]\frac{(p+q)(p-q)}{(p+q)} *\frac{p+q}{p-q}[/tex]
Since dividing is the same as multiplying bt the reciprocal
The (p+q) and the (p-1) cancel out so we are left with (p+q)
Write the quadratic expression -16t2 − 8t + 24 in factored form.
Hope this helps! : )
The dot plots show exam scores for 25 students. Which exam has an outlier?
Is my answer correct?
Answer:
yes of course it is correct good job
Answer:
yes your answer is correct
robert wants to put lights around the front of his house the house is 12 yards long and 7 yards high how many feet of lights does he need?
Answer:
19 lights
Step-by-step explanation:
I think so .
Thank you
Answer:
114 Lights
Step-by-step explanation:
Simplify x^2-9/x^2+x-12
Answer: \frac{x+3}{x+4}
Step-by-step explanation:
\frac{x^2-9}{x^2+x-12}
\frac{(x+3)(x-3)}{(x+4)(x-3)} =\frac{x+3}{x+4}
Answer: x⁴+x³-12x²-9/x²
simplify 1/9 - 1/x over 1/81 - 1/x^2
Answer:
9x over x+9
Step-by-step explanation:
