Answer:
The output when x = -9 is f(x) = 187.
Step-by-step explanation:
We are given a function and asked to find the output of that function.
The input of a function refers to a value that is substituted into the function in order to simplify it to a final value.The output of a function is the value that is achieved when the input is substituted into the equation and the function is evaluated.Our standard function is in the form of a quadratic equation.
[tex]ax^2+bx+c=0[/tex]
Let's check for a change in the presentation of the first value in the equation.
[tex]\bold{f(x)} = 2x^2 - 5x - 20\\\\\bold{f(-9)}[/tex]
We see that x becomes -9. We also know that from conventional algebra, we need to make this change throughout the entire equation. Therefore, since we changed the x in f(x), we need to change it in 2x² - 5x - 20 as well.
[tex]f(-9) = 2(-9)^2 - 5(-9) - 20[/tex]
Now, it's time to simplify this function. Let's first simplify the first term of the function: [tex]2(-9)^2[/tex].
Let's follow PEMDAS in order to simplify the term.
P - Parentheses
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
When using this acronym, make sure that all operations are performed left to right.
We see that -9 is raised to the power of 2, so we square -9. Otherwise, we carry out the following operation.
[tex]-9 \times -9 = 81[/tex]
Then, we see that 2 is multiplied into this value. Therefore, we multiply 81 by 2.
[tex]81 \times 2 = 162[/tex]
Now, we need to subtract the product of 5 and -9.
[tex]5 \times -9 = -45[/tex]
[tex]162 - - 45 = 207[/tex]
Finally, we subtract 20 from this value.
[tex]207 - 20 = 187[/tex]
Therefore, the value of f(-9) is 187.
[tex] \sf f(x) = 2 {x}^{2} - 5x - 20[/tex]
To Find :-[tex] \sf f( - 9)[/tex]
Solution :-[tex] : \implies \sf f( - 9) = [2 \times( { - 9}^{2} )]-[ 5 \times - 9] - 20[/tex]
[tex] : \implies \sf f( - 9) = 2 \times 81 + 45 - 20[/tex]
[tex]: \implies \sf f( - 9) = 162 + 45 - 20[/tex]
[tex] : \implies \sf f( - 9) = 207 - 20[/tex]
[tex]: \implies \bf f( - 9) = 187[/tex]
What is the 4 letter code?
The simple interest on birr 400 invested for 4 month was birr 12. What is the annual/yearly rate of interest
Answer:
9%
Step-by-step explanation:
Given data
Principal= 400
time= 4 months
r= 12%
SI= 12
SImeple interest
12=PRT/100
susbstitute
12= (400*r*4/12)/100
12SI= 400*r*0.333/100
12=133.2r/100
cross multiply
1200= 133.2r
r= 1200/133.2
r= 9.009
Hence the rate is 9%
A bag has 30 towels numbered 1 to 30. What's the ratio for odds to evens?
Find 11.5% of 221.9. Round to the nearest thousandth.
Answer:
11.5% of 221.9=11.5/100×221.9=0.115×221.9=25.5185=26
wasssssupppppppppppppp
Answer:
Wasssupppp yallll
The 6th grade class is going on a Field Trip. The Adult to Student ratio is 2:5. If there are a total of 70 people on the Field trip, how many adults are on the field trip?
Plz Help plz
Answer:I think it 20 adult to 50 kids
Step-by-step explanation:
Plz help me out xx tysm
Answer:
see explanation
Step-by-step explanation:
let the number be x , then
[tex]\frac{1}{2}[/tex] x = 44.3 ← is the equation
Answer:
x / 2 = 44.3
Hope that helps!
Step-by-step explanation:
the price of a ring was decreased by 25% to £390. what was the price before the decrease?
Answer:
The original price was 520
Step-by-step explanation:
To find this, we first need to note that we paid 75% of the price. This is because we took 25% off from the original. Now we take the price we paid and divide it by the percentage of it which we paid. This will give us the original price.
390/75% = Total
390/.75 = Total
520 = Total
2. Nick and Adam workout together. Nick weighs
160 pounds and is gaining about 3 pounds per
week. Adam weighs 195 pounds and is los ng
about 2 pounds each week. Write an equation
that can be used to find the number of weeks
that it will take them to weigh the same amount.
a. Equation:
b. Solution:
c. How much will Nick and Adam weigh?
Answer:
Equation: 160 + 3x = 195 - 2x
Solution: 7 weeks
Step-by-step explanation:
x is going to stand for the number of weeks
Nick:
160 + 3x
Adam:
195 - 2x
Equation: 160 + 3x = 195 - 2x
Solution: 7
They would weigh 181 pounds
The equation to find when Nick and Adam will weigh the same amount is
160 + 3w = 195 - 2w
It will take 7 weeks for Nick and Adam to weigh the same amount.
After 7 weeks, Nick and Adam will both weigh 181 pounds.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
a.
Let w be the number of weeks, then the equation to find when Nick and Adam will weigh the same amount is:
160 + 3w = 195 - 2w
b.
To solve for w, we can simplify the equation:
160 + 3w = 195 - 2w
5w = 35
w = 7
c.
To find how much Nick and Adam will weigh after 7 weeks, we can plug w = 7 into either of the original equations:
Nick's weight = 160 + 3w = 160 + 3(7) = 181 pounds
Adam's weight = 195 - 2w = 195 - 2(7) = 181 pounds
Thus,
The equation to find when Nick and Adam will weigh the same amount is
160 + 3w = 195 - 2w
It will take 7 weeks for Nick and Adam to weigh the same amount.
After 7 weeks, Nick and Adam will both weigh 181 pounds.
Learn more about equations here:
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(ONLY TWO CAPITAL LETTERS) PLEASE ANSWER CORRECTLY!!!!!! WILL MARK BRIANLIEST!!!!!!!! URGENT
Answer:
HN congruent to NL
Step-by-step explanation:
They have a line crossing both of them, signifiying congruence.
what can that shape make
Answer:
Step-by-step explanation:
The shape will make a triangular pyramid. <33
(Try imaging the box plot all folded up!)
Answer:
triangle pyramid
Step-by-step explanation:
well when looking at the shape it doest make boxes on the sides, there triangles, so when you connect them all by closing it it turns into triangle pyramid
500 albums to 100 albums percent of change
Answer:
20%, since 100 is 20% of 500.
Step-by-step explanation:
ST | PR. Find QR. 35 28 40
Answer:
The answer is 47
Step-by-step explanation:
I'm pretty sure this is the answer :)
40 - 28 = 12
35 + 12 = 47
Proof: 35 - 28 = 7
47 - 40 = 7
Simplify (7 ^ 5) ^ 3
Answer:
[tex]7^{15}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , then
[tex](7^5)^{3}[/tex] = [tex]7^{5(3)}[/tex] = [tex]7^{15}[/tex]
Estimation Whool has diameter 15.1 in. Whool II has diameter 12.8 in. Round the diameter of each wheel to the nearest inch. About how much forthor wil Wheell travel in one rotation? Uno 3.14 for
Wheel I will travel about in further in one rotation.
(Round to the nearest integer as needed.)
Answer:
about 6 inches
Step-by-step explanation:
No 1 goes 15x3.14 = 47.1 inches in one turn
No 2 goes 13x3.14 = 40.82 inches in one turn
47.1-40.82 = 6.28 inches
How do you find exact values?
Answer:
Using trigonometric identities: A trigonometric identity is a relationship between trigonometric functions that we can use to find an exact value of a trigonmetric function.Using the unit circle: The unit circle is a circle with its center at the origin and a radius of 1 unit. If we place an angle, θ, with its initial side along the positive x-axis, then the point where the angle's terminal side intersects the unit circle is (cos(θ), sin(θ)).Using reference angles: Reference angles are the smallest angle that the terminal side of an angle makes with the x-axis. As it turns out, trigonometric functions of an angle and its reference angle have the same value, except that they may have different signs.
For example, suppose we want to find the exact value of tan(405°). First, we take a look at the angle 405° on a graph with the unit circle:
in this that the reference angle of 405° is 45°. We can use the fact that tangent is positive in the first quadrant and the rule for reference angles to deduce that tan(405°) = tan(45°). Then we can use the well-known fact that tan(45°) = 1 to get that tan(405°) = 1.
Step-by-step explanation:
My lil sister said she needs help with ALL of the questions..........if you help i will give you brainliest
Answer: See explanation
Step-by-step explanation:
Monday
The sale price of the items was $41.40
Mrs. Bolden paid $2.48 in sales tax on her purchase.
Altogether, Mrs. Bolden paid $43.88 for the shirts and flip flops.
Tuesday
The price decreased by approximately 8%
3.44 ÷ 3.75 = 0.917
0.917 × 100 = 91.7
91.7 ≈ 92
100 - 92 = 8
8% of 3.75 is 0.3
3.75 - 0.3 = 3.45
3.45 ≈ 3.44
Wednesday
22 ¹/₂ yrs or 22 yrs if that's easier
127.5 ÷ 1500 = 0.085
0.085 × 100 = 8.5
100 - 8.5 = 91.5
4 1/4 = 4.25
91.5 ÷ 4.25 = 21.5294117647
21.5294117647 × 4.25 = 91.5
21.5294117647 ≈ 21 ¹/₂ yrs
Thursday
If she marked up the price by 40%, that means $15 is 60% the original/selling price.
60% of x = 15
0.6x = 15
Divide both sides by 0.6
x = 25
The selling price is $25
If you wanted to confirm, 0.6 × 25 = 15
Friday
3 jeans for $42 each
3 × 42 = 126
3 jeans for $126
5 shirts for $27 each
5 × 27 = 135
5 shirts for $135
126 + 135 = 261
6.5% of 261
0.065 × 261 = 16.965
16.965 to the nearest cent is 16.97
She would have to pay $16.97 for tax.
261 + 16.97 = 277.97
She won't have enough money to buy everything she wants since the total price would be over $275.
Houa's family took a road trip to the Grand Canyon. Houa fell asleep 29% of the way
through the trip. If the total length of the trip was 800 miles, how many miles had
they travelled when Houa fell asleep?
Answer:
232 miles had travelled when Houa fell asleep.
Step-by-step explanation:
1. .29 x 800 = 232
If the total length of the trip was 800 miles then 232 miles had they travelled when Houa fell asleep.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Houa's family took a road trip to the Grand Canyon.
Houa fell asleep 29% of the way through the trip.
If the total length of the trip was 800 mile we need to find the number of miles they travelled when Houa fell asleep.
29% can be converted to decimal by dividing with 100
29/100=0.29
Now multiply 0.29 with 800
0.29×800
232 miles
Hence, 232 miles had they travelled when Houa fell asleep.
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In the month of February I spent 37.45 on coffee and a mug.... How many refills did I get?
8.95 +1.50r= Total
Answer:
7 refills
Step-by-step explanation:
Answer:
So I'm guessing the original price was 8.95 and each refill was 1.50.
8.95 + 1.50r = 37.45
r = 19
You got 19 refills
Help Asap i need my work done fast
Answer:
2. 4
3. 15
4. integer zero
A large amount of peanuts was divided equally into 6 small bags. The total number of peanuts, p, was 342. Which statements can be used to write an expression and then find the number of peanuts that ended up in each bag? Check all that apply.
The operation is division.
The operation is multiplication.
The variable is the number of bags.
342 divided by 6 equals 57.
Write the division expression as a fraction, StartFraction p Over 6 EndFraction.
To evaluate, substitute 342 for the variable.
Each bag will have 57 peanuts.
The constant is 342.
Answer:
Step-by-step explanation:
6 P = 342
To solve the question, you need to divide by 6
You don't multiply
The operation is division
The variable is the number of peanuts in each bag.
The answer is 57
The last two are incorrect.
x/p // 6 / end fraction
start fraction /p * end fraction /6
This doesn't make an awful lot of sense to me. But it is also untrue.
The variable P will never take 342
Answer: True statements
statement 1
Statement 4
Find the missing angle measure. A.360° B.258° C.102° D.90°
Answer:258
Step-by-step explanation:
I did the same thing and got it right
what are the types of polynomial??
Answer
Monomial, Binomial, and Trinomial
Explanation
Polynomials are algebraic expressions that may comprise of exponents which are added, subtracted or multiplied. Polynomials are of different types. Namely, Monomial, Binomial, and Trinomial. A monomial is a polynomial with one term. A binomial is a polynomial with two, unlike terms. A trinomial is an algebraic expression with three, unlike terms. In the following section, we will study about polynomials and types of polynomials in detail.
what is 3 times 4 times 50
600 is your awnsrerrrrrrrrrrrrr
please l, I really need help like ASAP. my thing ends in 5 minutes!!!!
Answer:
it would be (-7,-6)
x=-7, y=-6
Step-by-step explanation:
PLS HELP MEEEEE REEEEEEE
Answer:
$954.78
Step-by-step explanation:
Since it increases by 8.5%, all you have to do is multiply 879.98 by 1.085.
879.98 * 1.085 = $954.7783 = $954.78 (you always have to round to two decimal places with money)
In ΔRST, the measure of ∠T=90°, the measure of ∠R=56°, and ST = 73 feet. Find the length of TR to the nearest tenth of a foot.
Answer:
49.2
Step-by-step explanation:
10÷7(19+28)×20÷6=???
Answer:
109 2/3
Step-by-step explanation:
10 / 7(47) x 20 / 6 =
10 / 329 x 20 / 6 =
32.9 x 20 / 6 =
658 / 6 =
109 2/3
Hope that helps!
brainllest and 10 pionts PLEASE hurry
Answer:
(-5,-8)
(or the last choice)
Answer:
D. (-5, -8)
Step-by-step explanation:
(-5, -3), five down would mean -5 to y.
good luck, i hope this helps :)
The graph of the exponential function f is shown on the grid below. What is the y-intercept of this exponential function?
Answer:
Looks like (0,32)
Step-by-step explanation:
Hard to tell since there is no other data but it appears to be (0,32)
