Answers
Answer:
Output= -31
Step-by-step explanation:
f(x)= -3x²+8x-3
Therefore, f(-2)= -3(-2)²+8(-2)-3
= -3×4 -16 -3
= -12-16-3
= -31
Related Questions
Find the function f whose zeros are 6 and 3
Answers
To find the zeroes of a function f, use the fact that they make f(x) = 0. So, in this case, f(x) = (x-a)(x-b), for a and are the zeroes of the function. So:
f(x) = (x - 3)(x - 6) = x^2 - 9x + 18
In 2012, the U.S. population was about
314 million. How many people over the
age of 64 were in the U.S.?
Answers
There are 38,936,000 people over the age of 64 were in the U.S.
Option 2 is true.
What is Percentage?
A relative value indicating hundredth part of any quantity is called percentage.
Given that;
In 2012, the U.S. population was about 314 million.
Now,
Total population = 314,000,000
In the pie chart, The percent of people over the age of 64 were in the U.S will be 12.4%
Hence, Solve as;
Number of people over the age of 64 = 314,000,000 × 12.4%
= 314,000,000 × 12.4 / 100
= 31,400,00 × 12.4
= 38,936,000
Thus,
There are 38,936,000 people over the age of 64 were in the U.S.
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Hello, I’m struggling with my geometry homework
Answers
Answer
Explanation
Given:
m
To determine the mAs we can see, CD form a straight line, so the angle of it must be 180°. Now, we can get the m[tex]\begin{gathered} m\angle APE+m\angle APD=180 \\ 67+m\angle APD=180 \\ Simplify\text{ and rearrange} \\ m\angle APD=180-67 \\ m\angle APD=113\degree \end{gathered}[/tex]Since the line ED is at the center of the circle:
[tex]m\angle APD=m\hat{AD}[/tex]Therefore,
[tex]m\hat{AD}=113\degree[/tex]P
TU =
UV =
32°
-
5.5 cm
3.1 cm
VW-
Tech Support
151°
S
cm
cm
Q
Look carefully at quadrilateral PQRS.
Consider the transformation Rz (PQRS) that produces its image, quadrilateral
TUVW.
Find all the following:
cm
147°
3.8 cm
6.0 cm
30°
R
N
Answers
Answer:
Step-by-step explanation:
given a number line C=11 and D=13 CD=?can u help me solve this problem?
Answers
The diagram of the number line is shown below
Thus, the distance CD which is the distance between point D and point C is
13 - 11 = 2
CD = 2
3.4-2.8d+2.8d-1.3Combine like terms to create an equivalent expression.
Answers
The given expression is
3.4 - 2.8d + 2.8d - 1.3
By collecting like terms, we have
- 2.8d + 2.8d + 3.4 - 1.3
= 0 + 2.1
= 2.1
Mr. Burke wants to invest part of his lottery winnings in a safe fund that earns 2.5% annual interest and the rest in a
risky fund that expects to yield 8% annual interest. The amount of money invested in the safe fund, x, is to be exactly
four times the amount invested in the risky fund, y. Use the system of equations to determine the amount to be
invested in each fund if a total of $1080 is to be earned at the end of one year.
Answers
Answer:
eywgw6 the car is in the car is in the car is in
Step-by-step explanation:
Wu and I will be in the car is in the car is in the car is in the car is here and we can 4
Answer:
Safe fund = $24,000
Risky fund = $6,000
Step-by-step explanation:
Definition of variables:
Let x = the amount of money invested in the safe fund.Let y = the amount of money invested in the risky fund.Given information:
Safe fund = 2.5% annual interest.Risky fund = 8% annual interest. Total interest earned at the end of one year = $1080.The amount of money invested in the safe fund, x, is to be exactly four times the amount invested in the risky fund, y.Convert the percentages into decimal form:
[tex]\implies 2.5\%=\dfrac{2.5}{100}=0.025[/tex]
[tex]\implies 8\%=\dfrac{8}{100}=0.08[/tex]
Create a system of equations from the given information and defined variables:
[tex]\begin{cases}0.025x+0.08y=1080\\x=4y\end{cases}[/tex]
Substitute the second equation into the first equation and solve for y:
[tex]\implies 0.025(4y)+0.08y=1080[/tex]
[tex]\implies 0.1y+0.08y=1080[/tex]
[tex]\implies 0.18y=1080[/tex]
[tex]\implies \dfrac{0.18y}{0.18}=\dfrac{1080}{0.18}[/tex]
[tex]\implies y=6000[/tex]
Substitute the found value of y into the second equation and solve for x:
[tex]\implies x=4(6000)[/tex]
[tex]\implies x=24000[/tex]
Therefore, the amount invested in each fund was:
Safe fund = $24,000Risky fund = $6,000Is it right?????????
Answers
Check the picture below.
let's bear in mind that the standard deviation measures deviation in a dataset, so is a measure of how much the data fluctuates, so a dataset of 3 , 1000, will have a much higher deviation value than a same total of 450 , 553.
HELP ASP YOULL GET 20 POINTS AND BRAINLIEST!!!
Answers
Answer:
7 Games
Step-by-step explanation:
1. take the information and put it into a equation (being y=3.25x+3 or f(x)=3.25+3)
2. replace the x with a whole number because you can't bowl half a game.
Ex: f(3)=12.75 or f(6)=22.50
3. The highest you can go without going over your money is 7 games ($25.75) leaving you with a total of 2.25.
Please hurry due today I will give you brainlest
Which numbers are solutions of x² + 20 = 9x + 2? choose
Answers
Answer:
x = 6 or x = 3
Step-by-step explanation:
Solve for x over the real numbers:
x^2 + 20 = 9 x + 2
Subtract 9 x + 2 from both sides:
x^2 - 9 x + 18 = 0
The left-hand side factors into a product with two terms:
(x - 6) (x - 3) = 0
Split into two equations:
x - 6 = 0 or x - 3 = 0
Add 6 to both sides:
x = 6 or x - 3 = 0
Add 3 to both sides:
Answer: x = 6 or x = 3
The depth of a local lake averages 26 ft, which is represented as |−26|. In February, it measured 5 ft deep, or |−5|, and in July, it was 18 ft deep, or |−18|. What is the difference between the depths in February and July?
21 feet
23 feet
8 feet
13 feet
Answers
The difference between the depths in February and July is D. 13 feet.
How to illustrate the information?From the information illustrated, it was stated that the depth of a local lake average 26 ft is represented as |−26|. In February, it measured 5 ft deep, or |−5|, and in July, it was 18 ft deep, or |−18|.
Therefore, it should be noted that the depth in July is -18.
Therefore, the difference between the depths in February and July will be:
= -5 - (-18)
= -5 + 18
= 13
Therefore, the difference is 13 feet.
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Which conversion factors can be used to multiply to 4 km/min to get meters per hour?Select each correct answer. 1 km1000 m1 h60min60min1 h1000 m1 km
Answers
Step 1: Concept
To convert km to meters you will multiply with 1000.
To convert minute to hour you will divide by 60
Step 2: Convert
[tex]\begin{gathered} 4\operatorname{km}\text{ to meters = 4 }\times\text{ }\frac{1000m}{1\operatorname{km}}\text{ } \\ 1\text{ min to hour = 1}\min \times\frac{1\text{hour}}{60\text{ min}} \end{gathered}[/tex]Step 3: Final answer
[tex]\frac{1000m}{1\operatorname{km}}\text{ and }\frac{1hour}{60\min }[/tex]Option B and D
please solve the inequality in the picture shown below i will give brainliest
Answers
[tex]\frac{3}{4} -\frac{1}{2} p > \frac{5}{4} \\\frac{3}{4}(4)-\frac{1}{2} p(4) > \frac{5}{4} (4)\\3-2p > 5\\-2p > 5-3\\-2p > 2\\\frac{-2p}{-2} > \frac{2}{-2} \\p < -1[/tex]
when you divide or multiply by a negative number the signs <> change directions.
A right rectangular prism is packed with cubes of side length 1/8 inch. if the prism is packed with 16 cubes along the length, 8 cubes along the width, and 6 cubes along the height, what is the volume of the prism?A. 1 1/2 cubic inchesB. 1 3/4 cubic inchesC. 2 1/2 cubic inchesD. 2 3/4 cubic inches
Answers
Answer:
A. 1 1/2 cubic inches
Explanation:
We are told that the side length of the cube is 1/8 of an inch. Furthermore, we are also told that the rectangular prism fits 16 cubes along the length, 8 cubes along the width, and 6 cubes along the height. This means the measures of the dimensions of the prism are
[tex]\begin{gathered} \frac{1}{8}\times16\: in=2\: in \\ \end{gathered}[/tex][tex]\frac{1}{8}\times6\: in=0.75\: in[/tex][tex]\frac{1}{8}\times8\: in=1\: in[/tex]Therefore, the volume of the prism is
[tex]2\: in\times0.75\: in\times1\: in=1\frac{1}{2}\: in^3[/tex]Hence, the volume of the prism is 1 1/2 cubic inches
Write the given transformation in vector notation (please help its due in 20 mins)
Answers
Answer:
-1, 1
Step-by-step explanation:
The translation is 1 unit left and 1 unit up.
If -3/4 is the dividend and 2/5 is the divisor what is the quotient
Answers
[tex]-\cfrac{3}{4}\div \cfrac{2}{5}\implies -\cfrac{3}{4}\cdot \cfrac{5}{2}\implies -\cfrac{15}{8}\implies {\Large \begin{array}{llll} -1\frac{7}{8} \end{array}}[/tex]
Use the diagram find the image of c under the translation described by the translation rule
(X,y) (x+11,y-8)
○ B
○ A
○ D
○ E
Answers
write a quadratic function in standard form containing the point (5,-6) and x-intercepts -7 and 3
WILL GIVE BRAINLIEST
Answers
Answer:
[tex]y=-\dfrac{1}{4}x^2-x+\dfrac{21}{4}[/tex]
Step-by-step explanation:
Intercept form of a quadratic equation
[tex]y=a(x-p)(x-q)[/tex]
where:
p and q are the x-intercepts.a is some constant.Given:
x-intercepts: -7 and 3Point on the curve: (5, -6)Substitute the given values into the formula and solve for a:
[tex]\begin{aligned} y&=a(x-p)(x-q)\\\\\implies-6&=a(5-(-7))(5-3)\\-6&=a(12)(2)\\-6&=24a\\a&=\dfrac{-6}{24}\\\implies a&=-\dfrac{1}{4}\end{aligned}[/tex]
Substitute the given x-intercepts and the found value of a into the formula:
[tex]\implies y=-\dfrac{1}{4}(x+7)(x-3)[/tex]
Expand to standard form:
[tex]\implies y=-\dfrac{1}{4}(x^2-3x+7x-21)[/tex]
[tex]\implies y=-\dfrac{1}{4}(x^2+4x-21)[/tex]
[tex]\implies y=-\dfrac{1}{4}x^2-x+\dfrac{21}{4}[/tex]
30% of 3000
I know how to do it but I just need to be sure
Answers
Answer:900
Step-by-step explanation: 1. set up an equation
x= (p * n)/100 when x= the answer p= the percentage and n= the total number
2. plug in the numbers
x= (30 * 3000)/100
3.solve
x= (30*3000)/100
x= (90000)/100
x= 900
The product of 3 and the difference of a number and 1
Where”a number” is the letter x
Answers
On a given planet the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 80 KG weighs 80 n calculate the mass of another object that weighs 70 n
Answers
We are told that the weight of an object varies directly with the mass of the object. This basically means that if w is the weight and M is the mass then these two magnitudes are related by the following expression:
[tex]w=k\cdot M[/tex]Where k is a constant.
We know that an object with a mass of 80kg weights 80 newtons. Then for this object we have w=80kg and M=80n so we get:
[tex]80n=k\cdot80kg[/tex]We divide both sides of this equation by 80:
[tex]\begin{gathered} \frac{80n}{80}=\frac{k\cdot80kg}{80} \\ 1n=k\cdot1kg \end{gathered}[/tex]Here it's important to remember that 1 newton (i.e. 1n) is equal to:
[tex]n=\frac{kg\cdot m}{s^2}[/tex]Then we get:
[tex]1\frac{kg\cdot m}{s^2}=k\cdot1kg[/tex]We divide both sides by 1 kg:
[tex]\begin{gathered} \frac{1\frac{kg\cdot m}{s^2}}{1kg}=\frac{k\cdot1kg}{1kg} \\ 1\frac{kg\cdot m}{kg\cdot s^2}=k\cdot\frac{1kg}{1kg} \\ k=1\frac{m}{s^2} \end{gathered}[/tex]So now that we found k we have the following expression for the weight of an object as a function of its mass:
[tex]w=M\cdot1\frac{m}{s^2}[/tex]For an object that weights 70n we get:
[tex]\begin{gathered} 70n=M\cdot1\frac{m}{s^2} \\ 70\frac{kg\cdot m}{s^2}=M\cdot\frac{m}{s^2} \end{gathered}[/tex]We divide both sides by 1 m/s²:
[tex]\begin{gathered} \frac{70\frac{kg\cdot m}{s^2}}{1\frac{m}{s^2}}=\frac{M\cdot\frac{m}{s^2}}{1\frac{m}{s^2}} \\ 70\frac{kg\cdot m\cdot s^2}{m\cdot s^2}=M\cdot\frac{m\cdot s^2}{s^2\cdot m} \\ 70kg=M \end{gathered}[/tex]AnswerSo the mass of an object that weights 70n is 70kg.
Starting at the origin (0,0), what is the ordered pair of a value that is 4 units to the left and 5 units up?
Answers
(-4,5)
4 to the left on the axis is neg. 5 units up on the y axis makes it positive.
Help me answer this please!!!
Answers
Answer:2 choice
Step-by-step explanation:you use the rise over run technique with 2 points, it should give you rise 1 run 4 since the line is decreasing its a negative. For the y-int its the point where the line crosses Y int which is (0,-2) answer is -2
list 3 points that are on the line 2x=6y+4
Answers
The three Points that lie on the given line 2x=6y+4 are (5,1) , (8,2) and (11,3).
The given equation of line is given below,
2x=6y+4 equation 1
We need to find the points that lie on the given line.
Point 1 :
Put x = 5 in equation 1
2(5) = 6y + 4
6y = 6
y=1
So, Point (5,1) lie on the given line.
Point2:
Put x = 8 in equation 1
2(8) = 6y + 4
6y = 12
y=2
So, Point (8,2) lie on the given line.
Point 3 :
Put x = 11 in equation 1
2(11) = 6y + 4
6y = 18
y=3
So, Point (11,3) lie on the given line.
Thus, Points (5,1) , (8,2) and (11,3) lie on the line 2x=6y+4 .
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You get paid an annual salary of $67,100/year. You get paid bi-
weekly. Calculate the gross pay.
Answers
EXPLANATION: bi-weekly means every other week. there are 52 weeks in a year, so you would get paid 26 weeks out of the year. divide $67,100 by 26 to get $2,580.77.
6. Find the sale prices. a. $4,200 with a 35% markdown b. $5,000 with a 44% markdown
Answers
Answer: The Correct Sales Prices:
a. $2,730
b. $2,800
Step-by-step explanation:
a. $4,200 x 35%
$4,200 x .35 = $1,470
$4,200 - $1,470 = $2,730
b. $5,000 x 44%
$5,000 x .44 = $2,200
$5,000 - $2,200 = $2,800
Three consecutive integers have a sum of 81. Find the integers
Answers
Answer:
26, 27, 28
Step-by-step explanation:
Let the 3 integers be: x, x+1, x+2
x+x+1+x+2 = 81
3x+3 = 81
3x = 78
x = 26
x+1 = 27
x+2 = 28
Mika opened a bank account that earns simple interest with an initial deposit of $2,200.She made no other transactions throughout the year. At the end of the year, Mika had $2,260.50 in her account. What was the simple interest rate?
Answers
Answer:
2.75%
Step-by-step explanation:
2260.5-2200=60.5 the extra
60.5/2200=0.0275*100=2.75%
The aquarium has 6 fewer yellow fish than green fish. 40% of the fish are yellow. How many green fish are in the aquarium? Show your work
Answers
Answer: 18 fishes
Step-by-step explanation:
y=0.40(y+g)(2)
g-6=0.40(g-6)+0.40g
=0.40g-2.4+0.40g
=3.6/0.2
g=
A bank account gathers compound interest at a
rate of 5% each year.
Another bank account gathers the same amount of
money in interest by the end of each year, but
gathers compound interest each month.
If Cameron puts £4200 into the account which
gathers interest each month, how much money
would be in his account after 2 years and
7 months?
Give your answer in pounds to the nearest 1p.
Answers
Based on the amount that Cameron invests in the bank account that gathers interest each month, the amount in the account after 2 years and 7 months is £4,777.81
How to find the amount in the account?The number of periods in months is:
= 2 years and 7 months
= 31 months
The periodic interest in months is:
= 5% / 12 months
= 5/12%
The amount in the bank account after 2 years and 7 months is:
= 4,200 x (1 + 5/12%)³¹
=£4,777.81
In conclusion, the amount after 2 years and 7 months have elapsed is £4,777.81
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