Answer:
Step-by-step explanation:
75
QUESTION 20
Para el par de funciones, encuentre la suma, diferencia, producto o cociente indicado.
f(x) = -2x 2 - 6. g(x) = x + 4
Encuentra (f - g)(-5).
O a. -47
O b.-55
O c. 61
O d.-65
Answer:
B. -55
Step-by-step explanation:
La resta entre ambas funciones consiste en la sustracción de términos semejantes como demostraremos a continuación:
1) [tex]f(x) =-2\cdot x ^{2}-6[/tex] Dado
2) [tex]g(x) = x+4[/tex] Dado
3) [tex](f-g)(x) = (-2\cdot x^{2}-6)-(x+4)[/tex] Definición de resta de funciones.
4) [tex](f-g)(x) = (-2\cdot x^{2}-6)+(-1) \cdot (x+4)[/tex] [tex](-1)\cdot a = -a[/tex]
5) [tex](f-g)(x) = (-2\cdot x^{2}-6) + (-x-4)[/tex] Propiedad distributiva/[tex](-1)\cdot a = -a[/tex]
6) [tex](f-g)(x) = -2\cdot x^{2}-x+(-6-4)[/tex] Propiedad conmutativa
7) [tex](f-g) (x) = -2\cdot x^{2}-x-10[/tex] Sustracción de términos semejantes/Resultados.
A continuación, evaluamos la función resultante en [tex]x = -5[/tex]:
[tex](f-g)(-5) = -2\cdot (-5)^{2}-(-5)-10[/tex]
[tex](f-g)(-5) =-55[/tex]
Por ende, la respuesta correcta es B.
Simplify: Negative two and one-third minus negative ten and one-sixth Negative twelve and one-half Twelve and one-half Seven and five-sixths Negative seven and five-sixths
Answer: Seven and five-sixths
Step-by-step explanation:
Simplify : Negative two and one-third minus negative ten and one-sixth
(-2 1/3) - (-10 1/6)
(-7/3) - (-61/6)
Take L. C. M of 3 and 6 =. 6
(-14) - (-61) / 6
(-14 + 61) / 6
47/ 6
= 7 5/6 = Seven and five-sixths
Answer:
Answer: Seven and five-sixths
Step-by-step explanation:
Simplify : Negative two and one-third minus negative ten and one-sixth
(-2 1/3) - (-10 1/6)
(-7/3) - (-61/6)
Take L. C. M of 3 and 6 =. 6
(-14) - (-61) / 6
(-14 + 61) / 6
47/ 6
= 7 5/6 = Seven and five-sixths
Step-by-step explanation:
I’ll give you brainly thingy just help me
Answer:
4
Step-by-step explanation:
Its late and i need this pls
Gretchen made a paper cone to hold a gift for a friend. The paper cone was 11 inches high and had a radius of 4 inches. Find the volume of the paper cone to the nearest tenth. Use 3.14 for π.
The volume is ___in^3
Answer:
184.2 in^3
Step-by-step explanation:
vol of cone=
[tex]\pi {r}^{2} \frac{h}{3} [/tex]
[tex]3.14 \times 16 \times \frac{11}{3} [/tex]
=184.2
Write an equation in slope-intercept form of the line that passes through (4, 6) and (9,2)
Answer:
m=0
b=-9
Step-by-step explanation:
Slope is equal to the change in
y
over the change in
x
, or rise over run.
m
=
change in y
change in x
The change in
x
is equal to the difference in x-coordinates (also called run), and the change in
y
is equal to the difference in y-coordinates (also called rise).
m
=
y
2
−
y
1
x
2
−
x
1
Substitute in the values of
x
and
y
into the equation to find the slope.
m
=
−
9
−
(
−
9
)
2
−
(
−
4
)
The equation of the line is equal to y=-5x/4 +c
What is the slope-intercept form of a line?The slope-intercept form of a line is represented by y=mx+c where m=slope and c is the y-intercept of the line
Given here: The given line passes through (4,6) and (9,2)
We know the slope intercept form is given by
y=mx+c
putting (4,6) in the equation we get
6=4m+c
Again substituting (9,2) in the equation we get
2=9m+c
Thus solving this two equations we get the value of m=-5/4 and c=11
Hence, The equation of the line is equal to y=-5x/4 +c
Learn more about the slope intercept form here:
https://brainly.com/question/29146348
#SPJ2
Consider the function below. Find f(x) = 7
f(x) = 4x - 9
Answer:
x=4
Step-by-step explanation:
it tel you that f(x) = 7 so replace "f(x)" for 7 in the equation. You then get 7 = 4x - 9 so now you solve for x. You have to isolate x so you add 9 to the other side since you do the opposite of -9. Once you add 9 and 7, then divide the answer by 4. You should get 4 = x.
Work:
f(x) = 4x - 9
7 = 4x - 9
7 + 9 = 4x
16 = 4x
16 ÷ 4 = x
4 = x
Lane French had a bad credit rating and went to a local cash center. He took out a $100 loan payable in two weeks at $111.50. What is the percent of interest paid on this loan? (Do not round intermediate calculations. Round your answer to the nearest whole percent.)
Answer:$15 = 100 x rate x (2/52)
The 2/52 represents 2 weeks out of 52 weeks in a year
So 15/100 = rate x (2/52)
.15 = rate x (2/52)
If you divide by (2/52) on both sides, you get: 3.9 = rate
Don't be fooled by this answer, because it is not in percent form. In order to get it into percent form you need to multiply by 100. So the percent of interest paid on the loan is 390%.
In a lot of these problems you can predict around the percentage before you even do the problem. In this problem, you can tell that the percentage is going to be high because the loan has accrued $15 interest in just two weeks (15% in just two weeks!)
So if there is 15% interest in two weeks, you know it is going to be a very high annual percentage.
I am very confident that this is the answer, if you can check the answer with your online homework I would do so and send me a message to let me know. Also, if you need more clarification I am happy to message you more without a charge. Let me know!!$15 = 100 x rate x (2/52)
The 2/52 represents 2 weeks out of 52 weeks in a year
So 15/100 = rate x (2/52)
.15 = rate x (2/52)
If you divide by (2/52) on both sides, you get: 3.9 = rate
Don't be fooled by this answer, because it is not in percent form. In order to get it into percent form you need to multiply by 100. So the percent of interest paid on the loan is 390%.
In a lot of these problems you can predict around the percentage before you even do the problem. In this problem, you can tell that the percentage is going to be high because the loan has accrued $15 interest in just two weeks (15% in just two weeks!)
So if there is 15% interest in two weeks, you know it is going to be a very high annual percentage.
I am very confident that this is the answer, if you can check the answer with your online homework I would do so and send me a message to let me know. Also, if you need more clarification I am happy to message you more without a charge. Let me know!!
Step-by-step explanation:
What is the percent of decrease from 2,000 to 1,000?
Answer:
50%
Step-by-step explanation:
2,000 is 2 x more than 1,000. Or, 1,000 is half of 2,000 and half of 100%=50%.
Explain! First to answer will be named brainliest!
Answer:
(0,0)
(1,3)
(2,6)
(3,9)
or vise versa, depending on how you graph it
Step-by-step explanation:
what is 8 times 0.9 equal
Answer:
7.2
Step-by-step explanation:
The Arizona Department of Transportation wishes to survey state residents to determine what proportion of the population would like to increase statewide highway speed to 75 from 65 mph. At least how many residents do they need to survey if they want to be at least 99% confident that the sample proportion is within 0.05 of the true proportion
Answer:
The answer is "6.635776".
Step-by-step explanation:
If the proportion estimation is not given, then the approximate is true. So, it is in the top condition, which referring its overall error margin that is equal to 0.5.
Therefore the margin of error=0.05 With z=2.576
[tex]\to 0.05=2.576 \times \sqrt{(0.05 \times \frac{0.05}{N})}\\\\\to 0.05=2.576 \times \sqrt{( \frac{0.0025}{N})}\\\\\to \sqrt{N}= \frac{2.576 \times 0.05}{0.05}\\\\\to \sqrt{N}= 2.576[/tex]
square the above equation:
[tex]\to (N)^2= (2.576)^2\\\\\to N^2= 6.635776\\\\[/tex]
So the number of required residents=6.635776
A pattern is describe by an= 3n -5 what are the first four ters of the sequence?
9514 1404 393
Answer:
-2, 1, 4, 7
Step-by-step explanation:
Start with n=1. Put the value where n is in the expression and do the arithmetic.
a1 = 3·1 -5 = -2
a2 = 3·2 -5 = 1
a3 = 3·3 -5 = 4
a4 = 3·4 -5 = 7
__
You may notice that each term is 3 more than the previous one.
Find the product of (x + 3)(x - 3)
Answer:
= x ^2-9 answer.,...,...,..
Organic hot dogs at the grocery store cost $2.00 each. At a major league baseball game, an organic hot dog costs $6.50. How much does the baseball field mark up its organic hot dogs?
Answer: 4.50
Step-by-step explanation:
6.50 minus 2.00 is 4.50
If you can walk 3 1/3 miles in an hour, how many miles can you walk in 30 minutes, given the
same pace?
Answer:
d = 1.67 miles
Step-by-step explanation:
Given that,
Speed of a person, [tex]s=3\dfrac{1}{3}\ mph[/tex]
We need to find how many miles can you walk in 30 minutes, given the same pace.
30 minutes = 0.5 h
[tex]3\dfrac{1}{3}\ mph = \dfrac{10}{3}\ mph[/tex]
Speed = distance/time
[tex]d=v\times t\\\\d=\dfrac{10}{3}\ mph\times 0.5\ h\\\\d=1.67\ miles[/tex]
So, the person will cover a distance of 1.67 miles
Please explain step by step how you will answer the equation 4(x+6)-11= 25. You
may write down the problem and explain it when you are solving the equation.
Answer:
x=3
Step-by-step explanation:
4(x+6)-11= 25
Distribute the 4: 4x+24-11=25
Add the 11 on both sides: 4x+24=36
Subtract 24 from both sides: 4x=12
Divide 12 by 4 to isolate x: x=3
I hope this helped, please mark Brainliest, thank you!
help me pleASE will give brianliest
Answer:
REALLY
Step-by-step explanation:
i think its a
y=-2x-1 when x=-7 please shows steps thanks
Answer:
Y = -15
Step-by-step explanation:
When you understand how to do it, it's easy!
since x = -7, replace x with -7...
y = 2(-7) - 1
then...multiply...
y = -14 - 1
then finish...
y = -15
wooHoo! Pls Brainliest! Would help a lot! ;)
Amy is having her birthday party at a roller skating rink. The rink charges a fee of $50 plus $8 per person. If Amy wants to spend at the most $170 for the party at the rink, how many people can she invite to her party? Write a let x statement, an inequality and solve.
Answer:
(170 - 50)/8 = X
Step-by-step explanation:
X = amount of people
(170 - 50)/8 = X
Inequality
X = Number of People
50+(8*X) [tex]\leq[/tex] 170
The x statement is x ≤ 15. An inference is a statement that expresses the relationship between two (or more) expressions using one of the five signs listed below.
What is meant by inequality?Inequality the state of not being equal, particularly in status, rights, and opportunities1 is central to social justice theories. However, it is prone to misunderstanding in public debate because it means different things to different people. Some distinctions, however, are universal. A solution to an inequality in x is a number that, when substituted for x, yields a true statement. So, for example, 4 is a solution, whereas 8 is not. An inequality's solution set is the set of all solutions.The expression 5x 4 > 2x + 3 resembles an equation, but the equals sign has been replaced by an arrowhead. It's an example of inequity.Therefore,
(170 - 50)/8 = X
X = Number of People Over 50 (170 - 50)/8 = X
Inequality (8 × X) ≤ 170
An inequality is a statement that expresses the relationship between two (or more) expressions using one of the five signs listed below.
To learn more about inequality, refer to:
https://brainly.com/question/24372553
#SPJ2
Are these triangles congruent? If so, name the triangle congruence method.
Answer:
The answer you chose is correct
Step-by-step explanation:
Which situation could be represented by the equation - 30+30 = 0?
Rita bought a hat for $30. She then bought some headphones for $30.
Donna loaned $30 to her brother. He then paid her back $30 the next day.
Wen drove 30 miles to the library. She then drove 30 more miles to her college.
Mika filled a tank with 30 gallons of water. She then filled the tank with 30 more gallons.
O
Answer:
"Donna loaned $30 to her brother. He then paid her back $30 the next day" is the correct situation
Solve for b: b / 2-5 = 13 *
Your answer
[tex]\text {Hello! Let's Solve this Equation!}[/tex]
[tex]\text {\underline {The First Step is to Simplify the Equation}}[/tex]
[tex]\text {b=1 so b/2 becomes 1/2}[/tex]
[tex]\text {Your New Problem Is: 1/2b-5=13}[/tex]
[tex]\text {\underline {The Second Step is to Add 5}}[/tex]
[tex]\text {1/2b-5+5=13+5}[/tex]
[tex]\text {Your New Problem Is: 1/2b=18}[/tex]
[tex]\text {\underline {The Final Step is to Multiply 2}}[/tex]
[tex]\text {2*1/2b}=2*18}[/tex]
[tex]\text {Your Answer Would Be:}[/tex]
[tex]\fbox {b=36}[/tex]
[tex]\text {Best of Luck!}[/tex]
Which of the following words is defined as “the study of hearing”? audiology audiologist audiometer audio
Answer:
audiology
Step-by-step explanation:
Because.
Answer:
A is correct
Step-by-step explanation:
I hope you find it in your heart to give me brainliest
HELLP ASAAAAP If each of two complimentary angles has the same measure, then which angle will equal _______.
Answer:
A complimentary angle is 90°
Step-by-step explanation:
Hope this helped! <3
The Sweet Shoppe sells a half-dozen cupcakes for $16.50. The Cupcake Factory sells a dozen cupcakes for $30.00. Jameska purchases two cupcakes from each shop. What is the difference in the purchases?
The difference in the purchases is $
.
Answer:
$1.50
Step-by-step explanation:
The cost of half of dozen of cupcakes at Sweet Shoppe = $16.50.
The cost of a dozen cupcakes at Cupcake factory = $30.00. Therefore the cost of half a dozen cupcakes at Cupcake factory = $30.00 / 2 = $15.00
The difference in purchases = cost of half a dozen cupcakes at Sweet Shoppe - cost of half of dozen of cupcakes at cupcake factory
The difference in purchases = $16.50 - $15.00 = $1.50
This means that their is a difference of $1.50 for half a dozen cupcakes between the Sweet Shoppe and cupcake factory.
Find two numbers who’s product is 132 and whose sum is 23
Answer : The two numbers are 11 and 12.
A study is designed to determine whether grades in a statistics course could be improved by offering special review material. The 250 students enrolled in a large introductory statistics class are also enrolled in one of 20 lab sections. The 20 lab sections are randomly divided into two groups of 10 lab sections each. The students in the first set of 10 lab sections are given extra review material during the last 15 minutes of each weekly lab session. The students in the remaining 10 lab sections receive the regular lesson material, without the extra review material. The grades of the students who reviewed weekly were higher, on average, than the students who did not review every week. What type of study is this
Answer:
Experimental but not double-blinded study
Step-by-step explanation:
The type of study being described is an Experimental but not double-blinded study. That is because it is a study that has a control group, dependent variable, and an independent variable all used in order to acquire specifically targetted data from the results that are derived from the experiment itself. Also since the scientists/researchers know exactly which lab sections are getting the extra review material (independent variable), then that makes this a non-double-blinded study.
What is the quotient of 8,595 ÷ 247/ tell me the remainder not 358.125000
Answer:
34 R 197
Step-by-step explanation:
Complex my way
What is the opposite of -2
A: -1/2
B:0
C:2
Answer: C
The opposite value of -2 is 2 because:
Remove the minus sign from the number 2. Take it and it is your answer.
Hope this answer helps!
What is the solution to the given inequality?
one-half minus one-fourth x is greater than or equal to negative one-fourth
Answer:
[tex]x \leq 1[/tex]
Step-by-step explanation:
Write it out:
[tex]\frac{1}{2} -\frac{1}{4}x \geq \frac{1}{4}[/tex]
Get x alone
Subtract 1/2 from both sides
[tex]-\frac{1}{4} x \geq -\frac{1}{4}[/tex]
Divide both sides by -1/4 (NOTE: Dividing by a negative you must flip the sign)
[tex]x \leq 1[/tex]
Hope this helps,
Answer:x ≤ 3
Step-by-step explanation:
Other guy is wrong
