Answer:
f(x + 2) = 4x² + 16x + 13
Step-by-step explanation:
f(x) = 4x² - 3
Then
f(x + 2) = 4(x + 2)² - 3
= 4(x² + 4x + 2²) - 3
= 4(x² + 4x + 4) - 3
= 4x² + 16x + 16 - 3
= 4x² + 16x + 13
At a basketball game, a team made 57 successful shots. They were a combination of 1- and 2-point
shots. The team scored 98 points in all. Write and solve a system of equations to find the number of
each type of shot.
There were
2-point shots and 1-point shots.
Answer:
2-point shots = 41, 1-point shots = 16Step-by-step explanation:
Let the number of 1-point shots is x and 2-points shots is y.
The system as per question is
x + y = 571*x + 2*y = 98Solve it by elimination, subtract the first equation from the second
x + 2y - x - y = 98 - 57y = 41Find the value of x
x + 41 = 57x = 1614. Which is a true statement if Line XY is tangent to Circle P?
a. ab=bc
b. a^2 = bc
c. a = bc
d. a^2 = 5(b + c)
Answer:
d. [tex]a^2 =b(b+c)[/tex]
Step-by-step explanation:
Option d is the correct answer.
solution for this one step by step please
Answer:
[tex]D.\:\:\:\:\:\sec^4\theta[/tex]
Step-by-step explanation:
[tex]\frac{1+\tan^2\theta}{\cos^2\theta}[/tex][tex]=\frac{\sec^2\theta}{\cos^2\theta}\:\:\:(\because 1+\tan^2\theta=\sec^2\theta)[/tex][tex]=\sec^2\theta.\frac{1}{\cos^2\theta}[/tex][tex]{=\sec^2\theta.{\sec^2\theta}}\:\:\:(\because\frac{1}{\cos^2\theta}=\sec^2\theta)[/tex][tex]=\sec^4\theta[/tex]Hope it helps you in your learning process.
Answer:
D
Step-by-step explanation:
using the identities
1 + tan²Θ = sec²Θ and cosΘ = [tex]\frac{1}{sec0}[/tex] , then
[tex]\frac{1+tan^20}{cos^20}[/tex]
= [tex]\frac{sec^20}{\frac{1}{sec^20} }[/tex]
= sec²Θ × sec²Θ
= [tex]sec^{4}[/tex]Θ
If each single outcome is equally likely, you can use the table to help calculate probabilities. What is the probability of getting one head and one tail, on either coin?
a.
P(1 head and 1 tail)
b.
P(1 head and 1 tail)
c.
P(1 head and 1 tail)
d.
P(1 head and 1 tail)
--
the probability of getting one head and one tail on the toss of two coins is 0.5percent chance
Noel works as a driver for a transportation company. On average, he drives 152 hours to make 19 successful deliveries. Assume this rate is his constant rate for delivering goods. If you graph this relationship with time along the x-axis and number of deliveries along the y-axis, the slope of the line you get gives Noel's unit rate for a successful delivery. Which unit rate can be interpreted as the slope?
The unit rate can be interpreted as the slope will give [tex]\dfrac{1}{8}[/tex] of a delivery per hour
What is graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
Given: The total time for which Noel drives = 152 hours
The total number of successful deliveries = 19
Now, Noel's unit rate for successful delivery is given by:-
[tex]\rm =\dfrac{Total\ succesful\ deliveries}{Total\ hours}=\dfrac{19}{152}=\dfrac{1}{8}[/tex]
Hence, Noel's unit rate for the successful delivery 1/8 of a delivery per hour
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And a recent year 28.1% of all registered doctors were females if there were 42,000 female registered doctors at your what was the total of registered doctors?
Answer:
Step-by-step explanation:
Discussion
This is a proportion question. A proportion is 2 ratios separated by an equal sign.
If you know three of the components you can solve for the fourth.
Givens
28.1 % are females
42000 are female doctors.
100% is what is required.
Equation
28.1% / 100% = 42000 / x Cross Multiply
28.1 * x = 42000 * 100 Combine
28.1 * x = 4200000 Divide by 28.1
28.1/28.1 x = 4200000/28.1
x = 149466 is the total doctors
Answer
149366 is the total number of doctors.
Which of these decimals is the smallest?
0.38
0.376
0.3745
0.375
Paul's mom gave him $25.00 on Monday morning to use on lunches. At his school, the school lunch costs $1.50, which he bought
Monday through Thursday. On Friday, he decided to buy 4 slices of pizza instead of buying the school lunch. If the pizza costs $1.60 per slice, then how much of the money is left at the end of the school week?
A. $18.80
B. $14.10
C. $12.60
D. $14.20
Answer:
C. $12.60
Step-by-step explanation:
he has $25.00 for the whole week
monday through thursday, or four days, he buys school lunch for $1.50
1.5 x 4 = 6
on friday, he buys 4 slices of pizza for $1.60 per slice
4 x 1.6 = 6.4
Expenses together:
6.4 + 6 = 12.4
Find what he has left:
25-12.4 = 12.6
C. $12.60
2. Determine the value of x for which r l s if
.
m<1 = 40 - 4x; and
m<2 = 50 - 8x.
A. 1.5
B. 2
C. 30
D. 2.5
Explanation:
If line r and line s are parallel, then the two angles marked must be congruent. Refer to the corresponding angles theorem for more details.
This means we'll set the angles equal to one another and solve for x.
angle1 = angle2
40-4x = 50-8x
-4x+8x = 50-40
4x = 10
x = 10/4
x = 2.5
The swimming pool at Spring Valley High School is a rectangle with a width of 60 meters and a length of 30 meters. Around the perimeter of the pool is a tiled floor that extends w meters from the pool on all sides. Which expression represents the area of the tiled floor?
A. (2w2 + 90w) m2
B. (6w2 + 120w + 875) m2
C. (4w2 + 180w + 1800) m2
D. (4w2 + 180w) m2
Answer:
d. (4w2 + 180w) m2
Step-by-step explanation:
Area of tiled floor = (area of tiled floor+ pool ) - area of pool
area of pool =l x b = 30 x 60 =1800 ...............a
length of pool + tiled floor = 30+2w
breadth of pool + tiled floor = 60+2w
Hence, (area of tiled floor+ pool ) =
(30+2w) x(60+2w) = 1800+60w+120w+4w2 = 1800 + 180w+4w2.....b
b-a =(1800+ 180w+4w2)- 1800 = 4w2 + 180w
Perform the indicated operations and simplify the expression 4x-1/x+4 - x +1/x-5
Step-by-step explanation:
4x-1
x+-×+1=5
×-5
there are no terms like that
On a map. 1 inch equals 10 miles. Two cities are 2 inches apart on the map. What is the actual distance between the cities? The actual distance between the cities is miles.
Answer:
20 mile
Step-by-step explanation:
One inch is equivalent to 10 miles. Given this comparison in regards to scale, 2 inches would simply be 2 times that. In basic terms, 2 times or inches multiplied by each 10 mile increment would be stated as 2 inches x 10 miles, resulting in a 20 mile distance between the two cities.
If f(x) = 2x − x² + 3, find f(x − 4).
Answer:
−x^2+10x−21
Step-by-step explanation:
Hope this helped you! If this is wrong, please tell me and have a good day!
One angle in a pair of supplementary angles has a value of 2x. The other angle is 30 degrees less than two times the first angle. Which of these equations can be used to find the measurement of each angle?
6x-30=90
6x+60=90
6x-30=180
6x+60=180
The equations which can be used to find the measurement of each angle will be 6x-30=180.
What is the supplementary angle?The supplementary angles are defined as the angles whose sum is equal to 180°.
It is given that:-
One angle in a pair of supplementary angles has a value of 2x
The other angle is 30 degrees less than two times the first angle.
Now from the first condition, One angle in a pair of supplementary angles has a value of 2x we can write that:-
2x + A = 180 .........................1
Now from the second condition,The other angle is 30 degrees less than two times the first angle
A = 4x - 30 ..............................2
Hence from the above two equations put the value of A in equation 1
the equation will be:-
2x + 4x - 30 = 180
6x - 30 = 180
Hence the equations which can be used to find the measurement of each angle will be 6x-30=180.
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PLEASE HELP ASAP !
What is the solution to the inequality below?
|x| > 14
Case 1
x>14Case 2
-x>14x<-14Option A
It's impossible thing
Which of the following does NOT contribute to global warming?
A. Oil
B. Gas
C. Nuclear power
D. Coal
Answer:
D. Coal.
Step-by-step explanation:
Doesn’t really affect the earth in any way.
Can someone answer theese questions I WILL GIVE BRAINLIST and thanks and a 5 star if they are correct
What is the median of 0.8, 1.0, 2.7, 2.8, 3.1, 13.3
Answer:
[tex]2.75[/tex]
Step-by-step explanation:
Step 1: Determine the median
[tex]0.8, 1.0, 2.7, 2.8, 3.1, 13.3[/tex]
The median of a set is the middle of the set. In this instance, we have 6 numbers so we don't have a number directly in the set representing the median. Instead, we need to find the average or middle between the 3rd and 4th number. So we take 2.7 and 2.8, add them together to get 5.5 and then we divide by 2 to get 2.75 which is our median.
Answer: [tex]2.75[/tex]
I don’t understand and I need the answer
Answer:
y2 + 2y + 80
Step-by-step explanation:
Hope this helpd :) Mark brainliest?
Answer:-21
Step-by-step explanation:
-21 i think but im pretty sure
I need help on question b
Answer:
B=25
Step-by-step explanation:
Simply plug in 10 where x is
2(10)2(10-5)/10(10) = 25
What is the discriminant of the quadratic equation 2x + 5x = 1?
0-18
0-16
022
24
The discriminant of the quadratic equation 2x + 5x2 = 1 is 24.
--
Use this formula
b²-4acPlug in
You get 24
Answer:
24
Step-by-step explanation:
Discriminant
b² - 4ac (when ax² + bx + c = 0)
Assuming the given equation is: 2x + 5x² = 1
Rewrite the equation so that it equals zero:
⇒ 5x² + 2x - 1 = 0
Therefore, a = 5 b = 2 c = -1
Input these into the discriminant formula and solve:
⇒ 2² - 4(5)(-1) = 4 + 20
= 24
Therefore, the discriminant of the quadratice equation is 24.
to win at lotto in one state one must correctly select 7 numbers from a collection of 57 numbers. how many different selections are possible
Find the missing length
Apply Pythagorean theorem
H²=P²+B²x²=14²+10²x²=196+100x²=296x=17.8An invasive species has an initial population of 20 organisms. In five years it’s population has grown to 130. Assuming exponential growth, how many years will it take its population to reach 5,000?
The 15 years it will take its population to reach 5,000 if initial population of 20 organisms.
What is an exponential function?
It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]
where a is a constant and a>1
Let's assume the exponential growth is:
[tex]\rm y = Ae^{rt}[/tex]
From the problem:
[tex]\rm 130 = 20e^{5r}[/tex]
[tex]\rm e^{5r}= 6.5[/tex]
Taking ln both side:
We get:
r = 0.374
[tex]\rm 5000 = 20e^{0.374t}[/tex]
After solving, we get:
t = 14.76 ≈ 15 years
Thus, the 15 years it will take its population to reach 5,000 if initial population of 20 organisms.
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A particular candle gives out 4 lumens more light than the average. The standard deviation is 3 lumens. What
percentage of candles give out more light than this one?
how to simplify (4i)^2 ?
Answer:
-16
Step-by-step explanation:
Simplify:[tex](a*b)^m=a^m * b^m\\[/tex]
i² = -1
(4i)² = 4² * i²
= 16 * (-1)
= -16
Let's examine what we know:
[tex](ab)^x=a^x * b^x[/tex]
So, In the equation: [tex](4i)^2[/tex]
⇒ is equivalent to ⇒ [tex]4^2*i^2= 16 * (-1) = -16[/tex]
Answer: - 16
Hope that helps!
find tan0 please help fast!
Answer:
Tan(51.06) = 1.24 so the correct answer is A
Step-by-step explanation:
Sin0 = 7/9
0 =Arcsin(7/9)
0 =51.06
So,
Tan(51.06) = 1.24 so the correct answer is A
Answer:
A. [tex]\frac{7\sqrt{2} }{8}[/tex]
Step-by-step explanation:
Finding the missing side :
7² + x² = 9²
x² + 49 = 81
x² = 32
x = 4√2
Taking the tan value :
tanθ = 7/(4√2)
tanθ = 7(4√2)/4√2(4√2)
tanθ = 28√2/32
tanθ = [tex]\frac{7\sqrt{2} }{8}[/tex]
PLEASE HELP PLEASE HELP PLEASE
Answer:
1:1
Step-by-step explanation:
Which of the following is the absolute value parent function?
Answer:
A. F(x) = |x|
Step-by-step explanation:
Any number that substitutes for x inside of the absolute value parent function will be converted to a positive. Example: |-43| = 43
If my grade is currently a B, 86% and I get a 50% or higher on a test has 100 questions and that is 30 percent of my grade, what will my grade be?
Answer:
like a 85 hop this helps I'm so sorry have a good day stay safe
Answer:
your grade will be 166%.
Step-by-step explanation:
First I subtract 86-50=36.
second I add 100+30=130.
total is 130+36=166%