Given that:
f(x) = -2x²-2x+10
f(2) = -2(2)²-2(2)+10
= -2(2*2) - 4 + 10
= -2(4) - 4 + 10
= -8 - 4 + 10
= -12 + 10
= -2 Ans.
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Given f(x) = 1/2x - 5, find f^-1(x) a. f^-1 (x) = -2x+10 b. f^-1(x) = 2x+5 c. f^-1(x) = 2x-10 d. f^-1(x) = 2x+10...
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Draw a circle. Shade five sixths of it. What percent circle is not shaded?
what’s the answer to this
Answer:
Step-by-step explanation:
B because did the same exact test
For each ordered pair determine whether it is a solution to x=1
Miko filled two tanks with water. The ratio of the amount of water in Tank A to Tank B is 3 : 2. The total amount of water in both tanks is 210 ℓ. How much water must Miko pour from Tank A into Tank B so that both tanks have the same amount of water?
Step-by-step explanation:
Answer is in above picture
Determine a series of transformations that would map Figure O onto Figure P.
Answer:
OP question dude..
Step-by-step explanation:
Over Powered
help meeeeeee.....!!!!
I WILL MARK BRAINIEST!!!
Answer:
X = 35/8
Y = -5
Please help!! will mark branliest
6.7 problem 13
A rubber ball is dropped onto a hard surface from a height of 8 feet, and it bounces up and down. At each bounce it rises to 85% of the height from which it fell. (Hint: Read all units carefully!)
(a) Find a formula for h(n), the height in inches reached by the ball on bounce n.
h(n)=
(b) How high will the ball bounce on the 8th bounce?
h=
(c) How many bounces before the ball rises no higher than an inch?
Answer:
a. After the first bounce, the ball will be at 85% of 8 ft. After 2 bounces, it'll be at 85% of 85% of 8 feet. After 3 bounces, it'll be at (85% of) (85% of) (85% of 8 feet). You can see where this is going. After n bounces the ball will be at
[tex]h(n) = (85\%)^n 6ft = (\frac{17}{20})^n(6ft\times 12\frac{in}{ft}) = (\frac{17}{20})^n\times72'[/tex]
b. After 8 bounces we can apply the previous formula with n = 8 to get
[tex]h(8)=(\frac{17}{20})^8\times 72' = 19.62'[/tex]
c. The solution to this point requires using exponential and logarithm equations; a more basic way would be trial and error using the previous [tex]h(n)[/tex]increasing the value of n until we find a good value. I recommend using a spreadsheet for that; the condition will lead to the following inequality:
[tex]1>(\frac{17}{20})^n\times 72[/tex] Let's first isolate the fraction by dividing by 72.
[tex](\frac{17}{20})^n<\frac1{72}[/tex] Now, to get numbers we can plug in a calculator, let's take the natural logarithm of both sides:
[tex]ln ((\frac{17}{20})^n) < ln \frac 1{72} \rightarrow n\times ln (\frac{17}{20}) < -ln72[/tex]. Now the two quantities are known - or easy to get with any calculator, replacing them and solving for n we get:
[tex]-(0.16)n < - 4.27 \rightarrow n>26.31[/tex] Now, since n is an integer - you can't have a fraction of a bounce after all, you pick the integer right after that, or n>27.
3g + 4y - 8 + 2t + 5
Answer: 3g + 4y - 13 + 2t
Step-by-step explanation:
[tex]3g + 4y - 8 + 2t + 5 \\ 3g + 4y + 2t - 8 - 5 \\ = 3g + 4y + 2t - 3[/tex]
Given tan A = (4/9) and that angle A is in quadrant 1, find the exact value of sin A in simplest radical form using a rational denominator
If OQ and RT are parallel lines and mZRSP = 55°, what is mZQPS?
Answer:
55 degrees
Step-by-step explanation:
Angles RSP and QPS are Alternate Interior Angles. Given that OQ and RT are parallel, alternate interior angles are always congruent, meaning they have the same measure.
So if angle RSP is 55 degrees and it is congruent to angle QPS, then angle QPS is 55 degrees.
the ramp measures 20 feet long and is 5 feet from the ground what is the slope of the ramp?
I need help quick desperate
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
An engineer is designing a new dam for a river. The retaining wall of the dam will be angled such that the height above the ground of the top at the wall is three times the horizontal distance between where it begins and where it ends at ground level. The outer angled wall will be 100 feet long this relationship is shown in the picture along with the rest of the question.
A: x+y=100
y=3x
B: x^2 + y^2 = 100^2
y= 3x
C: x+y=100
x=3y
D: x^2 + y^2 = 100^2
x=3y
Answer:
B) x² + y² = 100²
y = 3x
Step-by-step explanation:
The pythagorean theorem : a² + b² = c²
c² in this case is 100, and a and b are x and y
The . vertical distance is three times the horizontal, or y = 3x
The correct option is x² + y² = 100², where y = 3x
-Chetan K
Please Answer! ASAP!
Answer:
B
Step-by-step explanation:
hope this helps
please help me solve this problem.
Answer:
a=36
Step-by-step explanation:
The given angles are corresponding
2a+3a=180
5a=180
a=180/5=36
Write the equation of the line in fully simplified slope-intercept form
Answer:
try y = 3x + -6 it might be wrong tho
Step-by-step explanation:
slope intercept form is y = mx + b where m = the slope and b = the y intercept. the y intercept is -6 and the slope is 3/1 or 3 so just plug the numbers in
Please help if it's right I'll give brainliest
Answer:
Since XBC is 55 degrees and triangle BXC is isosolese, angle BCX is also 55 degrees. 180 - 110 = 70
so angle BXC is 70 degrees.
Which is the best example of anticipating a potential accident in a science lab? A student skips the instructions because she has performed the lab before. A student checks for flammable liquids before lighting the Bunsen burner. A student keeps a glass of water on her lab bench in case she gets thirsty. A student works quickly so that she can be on time for her next class
Answer: C
Step-by-step explanation:
i took the test
Josh, Ben and Rick have 70 marbles altogether. The ratio of the number marbles Josh has to the number of marbles Rick has is 1: 2. However, Ben has 15 marbles fewer than Rick. How many marbles does Ben have?
Answer:
Ben has 19 marbles
Step-by-step explanation:
First taking that josh and ricks ratio is 1:2, this would set up in an equation as [tex]2j = r[/tex] and with ben having 15 less than rick, his formula would be [tex]r = b + 15[/tex] as well as the total of all the boys marbles together being this [tex]j+r+b=70[/tex]
Now we put all of these equations into a set to answer them.
[tex]2j = r\\ r = b + 15\\j+r+b=70[/tex]
First we solve for j
[tex]2j = r\\ j=\frac{1}{2} r[/tex]
Then substitute j
[tex]j+r+b=70\\ \frac{1}{2}r+r+b=70\\ 2b+3r=140[/tex]
Then simplify and multiply by 2 to even out
[tex]r = b + 15\\ -b+r=15\\2b+3r=140[/tex]
Now eliminate the b variable and combine equations
[tex]2b+3r=140\\-2b+2r=30[/tex]
[tex]5r=170[/tex]
Now divide and solve for r
[tex]5r=170\\r=34[/tex]
Now we know Rick has 34 marbles of the 70 marbles, so we can substitute his number back into the original equation
[tex]-b+34=15\\b=19[/tex]
Now we know Ben has 19 marbles of the remaining 36, and can substitute his number as well
[tex]j=\frac{1}{2}(34)\\j=17[/tex]
And now we know how much everyone has, to check we rewrite all the equations with their respective numbers
[tex]11+34+19=70\\2(17)=34\\34=19+15[/tex]
[tex]70=70\\34=34\\34=34[/tex]
Which means the ordered pairing of (b, j, r) is (19, 17, 34)
help for brainliest plz help i am stuck at thing
Answer:
= cot²A
Step-by-step explanation:
ito na po step by step explanation
[tex](1-sin^{2}A)(1+cot^{2}A) = cos^{2}A .\frac{1}{sin^{2}A } = \frac{cos^{2}A }{sin^{2}A } = (\frac{cosA}{sinA} )^{2} =cot^{2}A[/tex]
ok done. Thank to me :>
factor -24a - 16b + 40
Answer:
=8(−3a−2b+5)
Step-by-step explanation:
Rewrite the 40 as 5*8.
Rewrite -16 as 2*8
Rewrite -24 as 3*8
= 3* 8a+2*8b+5*8
8(−3a−2b+5)
20x29 devided by 9+20=?
help
Answer:
20
Step-by-step explanation:
[tex] \frac{20 \times 29}{29} = 20[/tex]
Answer:
20X29 devided by 9+20=84.4444444444
9. The number of sprouts that Bill, Harvey and Ruth eat is in the ratio 3: 2:5
Bill and Ruth eat 24 sprouts between them.
How many sprouts are eaten altogether?
Please help
Answer: 9:6:15
Step-by-step explanation:
The ratio is Bill : Harvey : Ruth
We are told that bill and ruth both eat 24 sprouts together. The ratio for bill and Ruth would be 3:5
Add the ratios together to get 8
Then divide the amount (24) by 8
This gives you 3. Then times all he numbers in the ratio by 3 to get the answer ; 9 : 6 : 15
40 pts & Brainliest to first Correct. PLZ HELP ASAP
Answer: [tex]16x^4y^2a^6[/tex]
Step-by-step explanation:
just apply to the power of 2 to every term
-4 times -4 is 16
x^2 to power of 2 is 2 times 2 so x^4
y^2 is y^2
a^3 to power of 2 is 3 x 2 = 6 so a^6
16x^4y^2a^6
Answer:
16x^4y^2a^6
Step-by-step explanation:
Do this step by step
16x^4y^2a^6
Please give brainliest!
solve pls brainliest
Answer:
Area of the garden is 20 sq. yards
Step-by-step explanation:
A = LW
(The whole figure which is a 6 by 6) - (area of the pool) = The area of garden
(6 × 6) - (4 × 4)
36 - 16 = 20
2. Find the value of x. Give your answer in
simplest radical form.
20
16
Answer:
12
Step-by-step explanation:
The Pythagorean theorem shows that 400 or 20² - 256 or 16² = 144 or 12² which means that the other side is 12
x=12
Which of the following fractions is less than 1
options: a) 1 1by4 b) 3/4 c) 5/4 d) 2 3by4
Answer:
B
Step-by-step explanation:
11/4=2.75
3/4=0.75
5/4=1.25
23/4=5.75
Answer:
3/4
Step-by-step explanation:
Proper fractions are less than 1
3/4 is proper fraction.(Numerator less than denominator)
[tex]\dfrac{5}{4}=1\dfrac{1}{4}[/tex]
Find x from this equation 7x-5=10-3x
Answer:
x=1.5
Step-by-step explanation:
7x-5=10-3x <=>7x+3x=10+5 <=> 10x=15 <=> x= 3/2 = 1.5
ok done. Thank to me :>
In health class, Baldwin is learning about making healthy food choices. For a lesson on
digestive health, his teacher asks everyone to track how much fiber they eat daily. At
breakfast, Baldwin has a banana. He also has raisin bran cereal, which contains 3.7 grams of
fiber. In all, Baldwin eats 6.8 grams of fiber at breakfast.
Use an equation to find the amount of fiber in the banana.
Answer:
There are 3.1 fibers in rhe banana
Step-by-step explanation:
6.8-3.7=3.1
An apple sells for 25 cents and a peach sells for 15 cents. A total of 10 fruits were sold for a total of $2.10. How many apples were sold?
Answer:
6 apples
Step-by-step explanation:
A = 0.25
P = 0.15
----------------
A + P = 10
0.25A+0.15P=2.10
----------------
I did this: 0.25*10 = 2.50
2.50-2.10=.40
0.25-0.15=0.10
0.40/0.10 = 4 so 4 peaches
10 fruits - 4 peaches = 6 apples