Evaluate the function.
ƒ(x) = −x² − 4x – 12
Find ƒ(-7)
Given ~
[tex] \tt \: f(x) = - {x}^{2} - 4x - 12[/tex]
[tex] \: [/tex]
put the value of x = -7 in given function ~
[tex] \tt \: f( - 7) = - ( { - 7})^{2} - 4( - 7)- 12[/tex]
[tex] \: [/tex]
[tex] \tt \: f( - 7) = - 49 +28 - 12[/tex]
[tex] \: [/tex]
[tex]\tt \: f( - 7) = - 21 - 12[/tex]
[tex] \: [/tex]
[tex] \underline{ \boxed{ \tt \red{ f( - 7) = -33}}}{ \green ✓}[/tex]
[tex] \: [/tex]
hope helps ~
help me with this ques. (need solution and answer both) thanks so much <3
Answer:
1.) 27a^11 + 18a^9 -72a^7
2.) 6p^4q^3 - 10p^3q + 4p^2q3
Step-by-step explanation:
1.) Distribute and do the math
-9a^5 x (-3a^6) - 9a^5 X (-2a^4) - 9a^5 x 8a^2
27a^11 + 18a^9 -72a^7
2.) Distribute and do the math
2pq^2q x 3p^2q^2 - sp^2q x 5p + 2p^2q x 2q^2
6p^4q^3 - 10p^3q + 4p^2q3
Which table has a constant of proportionality between y and x of 0.3?
Table C has a constant proportionality between y and x of 0.3.
A constant is an expression-unchanging value or number. It always has the same value.
In mathematics, proportionality denotes a linear relationship between two quantities or variables. Both quantities increase in size when one double, and both decrease in size when one drops to a tenth of its original value.
The answer is the same as the one in the y column when you multiply the x number in table C by 0.3. The value that remains constant in the ratio is the proportionality constant. It is evident that table C is accurate because when you multiply each value in the x column by 0.3, the result is always the value in the y column.
Learn more about proportionality here:
https://brainly.com/question/28153968
#SPJ9
Evaluate the expression
so you write 16 but i don't speak English very good i want help you 2(6+3)-2 ok you you going multiplying 2×6=12+6=18-2=16 so 16
When the sample of participants is reflective of the characteristics of the population, it is said to be?
It is claimed that the sample of participants is generalizable since it reflects the characteristics of the population.
What is Generalizability? Simply said, generalizability is a measurement of the applicability of a study's findings to a larger population or set of circumstances. It is considered that a study has strong generalizability if its findings may be applied broadly to a wide range of individuals or circumstances. Researchers use generalizability in a scholarly setting. It can be characterized as the extrapolation of findings and recommendations from a study done on a sample population to the entire population.To learn more about generalizable, refer to:
https://brainly.com/question/28237221
#SPJ4
PLEASE HELP ASAP
i would really appreciate it!
Using the probability concept, the tree diagram and the probabilities are given on the image at the end of the answer.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
For the first branch, we consider the first counter, which considering the eight counters has these following probabilities.
Blue: 1/8.Red: 3/8.White: 4/8.Then on the second branch, we consider the probabilities for the second counter, which in the case of a blue first counter are given as follows:
Red: 3/7.White: 4/8.The same logic is applied for the other branches given in the picture at the end of the question.
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ1
guys helepepepe Which lines are perpendicular?
will give ur brainliest help plss
Answer:
All the lines (A,B,C) are perpendicular because they are all intersecting at a 90 degree angle.
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
x - 4b
this is about algebra I had a doubt please answer this as well as the question above
Do variables have values? Like would they have a value of 1?
Answer: YES
Step-by-step explanation:
Variable have values it can be constant or changing.
for example if it is assigned a constant value 5 then it is a constant
if it has a function that varies from one value to another then it too has value but it frequently changes.
Just treat variable as a container containing some water in it sometimes we know about its quantity and sometimes it is unknown.
They may or may not have a value of 1 depending on what values you are assigning to them
hope it was of help
Learn more about variable here
https://brainly.com/question/28502531
#SPJ9
Anna is in charge of the alumni fundraiser for her alma mater. She is selling pre-sale tickets for $10 and at-the-door tickets for $20. The venue has the capacity to hold
400 people. The graph represents the number of tickets Anna needs to sell to offset her upfront costs and raise $5,000 for her school:
How many Pre-sale Tickets tickets must she sell to make her goal?
A)400
B)300
C)250
D)100
The number of presales tickets can be obtained as 300. The correct option is (B).
How to solve a linear equation?A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.
Since, total number of people are 400.
Suppose the number of pre-sales tickets be x.
Then, the number of at door tickets is given as 400 - x.
As per the question, the following equation can be written for total money raised as,
⇒ 10x + 20(400 - x) = 5000
⇒ 10x = 3000
⇒ x = 300
Hence, the number of pre-sales tickets is given as 300.
To know more about linear equation click on,
https://brainly.com/question/11897796
#SPJ2
Answer: The answer would be 100.
Step-by-step explanation:
Is 450 divisible by 2,3,4,5,6,8,9 or 10 explain why please
Help ASAP
Answer:
2,3,5,6,9 and 10
Step-by-step explanation:
450/2 = 225
450/3 = 150
450/4 = 112.5
450/5 = 90
450/6 = 75
450/8 = 56.25
450/9 = 50
450/10 = 45
To be divisiable, the answer should be an integer.
Thus: 2,3,5,6,9 and 10 are numbers which 450 is divisible by
Answer:
see below
Step-by-step explanation:
2×3×3×5×5 is it's prime factorization which has 2, 3, 4, 5, 6, 9, 10
RSV has coordinates R(2,1), S(3,2), V(2,6). A translation maps point R to R' at
(-4,8). What are the coordinates for S' and V' for this translation?
Answer:
S' (- 3, 9 ) , V' (- 4, 3 )
Step-by-step explanation:
consider the coordinates of R and R'
R (2, 1 ) , R' (- 4, 8 )
2 → - 4 in the x- direction is - 6
1 → 8 in the y- direction is + 7
then the translation rule is
(x, y ) → (x - 6, y + 7 )
S (3, 2 ) → S' (3 - 6, 2 + 7 ) → S' (- 3, 9 )
V )2, 6 ) → V' (2 - 6, 6 + 7 ) → V' (- 4, 13 )
The table below shows numerical summaries for the length of dogs' tails in inches (measured from hip bone to tail
tip) for several breeds of dogs.
Which of the following statements is true?
This is a skewed-left distribution, because the mean is less than the median.
O This is a skewed-right distribution, because the mean is less than the median.
This is a skewed-left distribution, because the mean is greater than the median.
This is a skewed-right distribution, because the mean is greater than the median.
Because the mean is the same as the median, this distribution is roughly symmetric.
The correct option regarding the skewness of the distribution is given by:
This is a skewed-left distribution, because the mean is less than the median.
Given the mean and the median of a distribution, how we classify it's skewness?If the mean is greater than the median, the distribution is right-skewed, also called positively skewed. Otherwise, if the median is greater than the mean, the distribution is left-skewed, also called negatively skewed.
In this problem, we have that:
The mean is of 10.4.The median is of 13.4.The median is greater than the mean, hence the correct option is given by:
This is a skewed-left distribution, because the mean is less than the median.
More can be learned about the skewness of a distribution at https://brainly.com/question/17179123
#SPJ1
can someone help me with this, i don’t understand
Answer:
Step-by-step explanation:
This is just a complicated method to do ratios and proportions
use the given x and y values and the ratio will be determined by k.
Then use that k and the second x value to find y.
-8 = k(20)
k = -2/5
Next part
y = (-2/5)(-4)
y = 1.6
Equivalent expression to (3*6) to the 2nd power
The required equivalent expression would be 3¹² y¹⁰ which is the correct option (C).
What is an exponential function?An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.
It is a relation of the form y = aˣ in mathematics, where x is the independent variable.
We have been given that exponential function as
⇒ (3⁶/y⁻⁵)²
= (3⁶/1 / 1/y⁵)²
= (3⁶ × y⁵)²
= 3¹² y¹⁰
Therefore, the required equivalent expression would be 3¹² y¹⁰ which is the correct option (C).
Learn more about exponential function here:
brainly.com/question/11487261
#SPJ1
The question seems to be incomplete the correct question would be
Select the equivalent expression to (3⁶/y⁻⁵)²
(A) 3¹⁰ y¹²
(B) 3⁶ /y¹⁰
(C) 3¹² y¹⁰
How long will it take
you to
drive 135 miles at a speed of
45 miles per hour?
Answer: It takes 3 hours to drive 135 miles at a speed of 45 miles per hour.
Step-by-step explanation:
Define Time and Distance and Speed:
The length of distance traveled is proportional to the time taken to cover the distance, and we can represent this relationship as
Distance ∝ Time (Eq. 1)
The speed of any object is directly proportional to the distance traveled and inversely proportional to the time taken.
Speed ∝ Distance (Eq.2)
Speed∝1/Time (Eq.3)
Then, we can represent each parameter through the following equations:
Speed =Distance/Time
Distance=Speed × Time
Time =Distance/Speed
We can write:
Distance covered by driving: d=135 miles
Driving speed: s=45 mph
Recall the formula for the relationship of time, distance, and speed.
Time =Distance/Speed
Substitute d=135 and s=45 into the above formula, and simplify.
t=d/s
t=135/45
t=3 hours
Thus, it takes 3 hours to drive 135 miles at a speed of 45 miles per hour.
Learn about more information https://brainly.in/question/46249350
#SPJ9
solve 2/43=t/13 a. 2/559 b. 43/26 c.559/2 dm 26/43
Option D 26/43 .
Given equation 2/43=t/13
To solve these type of question we have to follow some steps
that are as follows
Multiply all terms by the same value to eliminate fraction denominators
same value is 559 ....so multiply with 559 both sides
2/43=t/13
559×2/43 = 559×t/13 (by multiplying in LHS and RHS with same value)
Cancel multiplied terms that are in the denominator
13 ×2=43t
Multiply the numbers
26=43t
Divide both sides by the same factor
26/43=43t/43
Simplify
Cancel terms that are in both the numerator and denominator
Move the variable to the left
t=26/43 is the answer.
For more information about Simplification
Visit : brainly.in/question/7950433
#SPJ9
which of these objects are malleable check all that apply
Tin fork and knife from a camping set
Antique ceramic vase
Steel pole fence post
Marble sculpture
glass tabletop
Copper coin
The objects are (A) tin fork and knife from a camping set, (C) a Steel pole fence post, and (F) a Copper coin are correct.
What is malleable?A material is said to be malleable if it is easy to roll or hammer a thin sheet out of it.
It is given that:
The list of objects is given in the question.
As we know from the definition of malleable; the material is said to be malleable if it is easy to roll or hammer a thin sheet out of it.
Metals have the physical quality of malleability, which makes them easy to crush, hammer, or bend.
Metals that are bendable include copper coins, steel fence posts, and camping forks and knives made of tin.
Thus, the objects are (A) tin fork and knife from a camping set, (C) a Steel pole fence post, and (F) a Copper coin are correct.
Learn more about the malleable here:
https://brainly.com/question/21234770
#SPJ1
(a) Write an expression for a number that is
three more than r.
.
Answer:
r+3
Step-by-step explanation:
r is an expression. To get an expression that is 3 more, just add 3
r+3
Four decimal fractions that are smaller than 0.5
Answer: 0.4<0.5
Step-by-step explanation:
What is 8-6= for the sum
The value and the summation expression are 2 and -6 + 8
How to determine the value and the summation expression?The expression is given as:
8 - 6
When expressed as a sum, the expression can be rewritten as
-6 + 8
When the expression is evaluated, we have
-6 + 8 = 2
Hence, the value and the summation expression are 2 and -6 + 8
Read more about expressions at:
https://brainly.com/question/723406
#SPJ1
I need help with example 9 please
Answer:
a reflection across the y-axis and a translation up of 4
Step-by-step explanation:
Which equation best represents the graph shown below? Explain in detail how you arrived at your answer by stating each of the mathematical transformations necessary and to produce the graph
Answer step by step
A. Y = (x - 2)^2 - 3
B. Y = (x + 2)^2 - 3
C. Y = - ( x - 2 )^2 - 3
D. Y = 1/2 ( x + 2)^2 - 3
The quadratic equation is:
y = (x - 2)^2 - 3
So the correct option is A.
Which equation best represents the graph shown below?
The graph clearly is the graph of a quadratic equation, there we can see that:
The y-intercept is y = 1.
The vertex is (2, -3)
Remember that if we know that a quadratic equation has a vertex (h, k), then the equation can be written as:
y = a*(x - h)^2 + k
In this case, the vertex is (2, -3), replacing that we get:
y = a*(x - 2)^2 - 3
Now, we can find the value of a, the leading coefficient, by using the fact that the y-intercept is y = 1, evaluating in zero we should get:
1 = a*(0 - 2)^2 - 3
1 = a*4 - 3
1 + 3 = a*4
4/4 = a = 1
Then we conclude that the quadratic equation is:
y = (x - 2)^2 - 3
So the correct option is A.
If you want to learn more about quadratic equations:
https://brainly.com/question/1214333
#SPJ1
(Please answer! :) )
Answer:
ok
Step-by-step explanation:
A) ((7.4), (6, 3). (5, 2)}
Function?
Explain:
Answer:
Yes
Step-by-step explanation:
This function is called a discrete function since the function isn't continuous like a line but consists of individual points.
Also, the points in the function don't share the same x-coordinate, so the function passes the vertical line test.
What is the absolute value of:
-3|2y-3|+2=-20
Answer:
Exact Form:
y = 31/6, −13/6
Decimal Form:
y = 5.16,−2.16
Mixed Number Form:
y = 5 1/6,−2 1/6
If there is an increase in the money supply that causes prices to rise and
leads to inflation, what happens to money?
• A. It loses purchasing power.
• B. It changes from fiat money to commodity money.
•
C. It changes from commodity money to fiat money.
•
D. It gains purchasing power.
SUBMIT
Mathematics of personal finance
The increase in the money supply that causes prices to rise and leads to inflation, loses purchasing power.
What is inflation?
Inflation refers to the persistent rise in the general prices of commodities in the economy over a period of time. If the prices of goods and services increase in an economy without an increase in income of people, it reduces the purchasing power of individuals.
This follows the law of demand which states that; the higher the price, the lower the quantity demanded; the lower the price, the higher the quantity demanded.
learn more of inflation here https://brainly.com/question/16502523
#SPJ9
Solve the following equations
2(3x - 1) + 2(4x+5) =8
Answer
x = 0
____________
Work[tex]2\left(3x-1\right)+2\left(4x+5\right)=8\\2\left(3x-1\right)+2\left(4x+5\right)\\2\cdot \:3x-2\cdot \:1\\2\cdot \:3=6\\2\cdot \:1=2\\=6x-2\\=6x-2+2\left(4x+5\right)\\2\left(4x+5\right)\\2\cdot \:4x+2\cdot \:5\\2\cdot \:4=8\\2\cdot \:5=10\\=8x+10\\=6x-2+8x+10\\6x+8x-2+10\\14x-2+10\\14x+8\\14x+8=8\\14x+8-8=8-8\\14x=0\\\frac{14x}{14}=\frac{0}{14}\\x = 0[/tex]
_____________
Answer:
x = 0
Step-by-step explanation:
Given equation,
→ 2(3x - 1) + 2(4x + 5) = 8
Now the value of x will be,
→ 2(3x - 1) + 2(4x + 5) = 8
→ 6x - 2 + 8x + 10 = 8
→ 14x + 8 = 8
→ 14x = 8 - 8
→ x = 0/14
→ [ x = 0 ]
Hence, the value of x is 0.
At a used book sale, all paperback books are the
same price. Henry buys 4 paperback books for
$3.20. Lainey buys 9 paperback books.
Answer:
Uh Lainey spends 7.20$
Step-by-step explanation:
3.2/4 is 1 book price, 0.8 is one book price, so 9 books price is 0.8*9 which is 7.2
Including a 5% sales tax, an inn charges $189 per night. Find the inn's nightly cost before the tax is added.
The inn's nightly cost before tax is added is
Answer:
180
Step-by-step explanation:
Nightly cost = x
x × 5% = Sales Tax
Total Cost : Percentage
189 : 105%
x : 100%
Cross multiply:
189 × 100% = 105% × x
189 = 1.05x
189 ÷ 1.05 = x
x = 180
A bag contains 1 red, 1 yellow, 1 blue, and 1 green marble. What is the probability of choosing a green marble, not
replacing it, and then choosing a red marble?
O
16
O
12
O
11
Answer:
The answer will be
[tex] \frac{1}{4} \times \frac{1}{3} = \frac{1}{12} [/tex]
Or 12%