Answers
Hello,
First, you must understand that
(f-g)(x) means f(x)-g(x) it is the difference of two functions :
f(x)=2x+4 and g(x)=3x-7
f(5)=2*5+4=10+4=14
g(5)=3*5-7=15-7=8
So, (f-g)(5)= f(5)-g(5)=14-8=6
Answer A: none of the choices are correct.
An other way to do it:
(f-g)(x)=f(x)-g(x)=2x+4-(3x-7)= 2x-3x+4+7=-x+11
if x= 5 then (f-g)(5)=-5+11=6
Related Questions
5/√2+9/√8-2√50+√32 rationalise the denominator and simplify
Answers
The simplification of the expression is [tex]\frac{15\sqrt{2} }{4}[/tex]
How to rationalize the denominatorFirst, find the factors of the number that ahs square root
Given,
= [tex]\frac{5}{\sqrt{2} } + \frac{9}{\sqrt{6} } - \frac{2}{\sqrt{50} } + \sqrt{32}[/tex]
Multiply the numerators by the surd of the denominators
= [tex]\frac{5 *\sqrt{2} }{\sqrt{2}*\sqrt{2 } } + \frac{9 *\sqrt{8} }{\sqrt{8}* \sqrt{8} } - \frac{2 *\sqrt{50} }{\sqrt{50 * \sqrt{50} } } + \sqrt{32}[/tex]
Multiply through and find their square root
= [tex]\frac{5\sqrt{2} }{2} + \frac{18\sqrt{2} }{8 } - \frac{10\sqrt{2} }{50} + 16\sqrt{2}[/tex]
To simply, we have
= [tex]\frac{5\sqrt{2} }{2}+ \frac{9\sqrt{2} }{4} + \frac{1\sqrt{2} }{5} + 16\sqrt{2}[/tex]
Find the LCM
= [tex]\frac{10\sqrt{2} + 45\sqrt{2}+ 4\sqrt{2} + 16\sqrt{2} }{20}[/tex]
Add through
= [tex]\frac{75\sqrt{2} }{20}[/tex]
= [tex]\frac{15\sqrt{2} }{4}[/tex]
Thus, the simplification of the expression is [tex]\frac{15\sqrt{2} }{4}[/tex]
Learn more about surds here:
https://brainly.in/question/4594146
#SPJ1
Simplify 7 to the 6th power ⋅ 7 to the fifth power.
49 to the 11th power
49 to the 35th power
7 to the 11th power
7 to the 35th power
Answers
Answer:
7 to the 11th power
Step-by-step explanation:
7⁶×7⁵=7¹¹
because a¹×a¹=a¹+¹
Ginkgo for Dementia The herb ginkgo biloba is commonly used as a treatment to prevent dementia. In a study of the effectiveness of
this treatment, 1545 elderly subjects were given ginkgo and 1524 elderly subjects were given a placebo. Among those in the ginkgo
treatment group, 246 later developed dementia, and among those in the placebo group, 277 later developed dementia. We want to
use a 0.01 significance level to test the claim that ginkgo is effective in preventing dementia. Test the claim using a hypothesis test.
Given test Statistic z = -1.66
Write Hypothesis and Critical Value, do you Support or reject the claim.
Answers
Answer:
i) 2.58
ii) We reject the claim
Step-by-step explanation:
The number of subjects in the ginkgo treatment group, n₁ = 1,545
The number of subjects in the placebo group, n₂ = 1,524
The number that developed dementia in the ginkgo group = 246
The number that developed dementia in the placebo group = 277
The proportion that developed dementia in the ginkgo group, [tex]\hat{p}_1[/tex] = 246/1,545 = 82/515
The proportion that developed dementia in the placebo group, [tex]\hat{p}_2[/tex] = 277/1,524
The null hypothesis is H₀; [tex]\hat{p}_1[/tex] = [tex]\hat{p}_2[/tex]
The alternative hypothesis is Hₐ; [tex]\hat{p}_1[/tex] ≠ [tex]\hat{p}_2[/tex]
The z-test statistic is given as follows;
[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p} \cdot (1-\hat{p}) \cdot \left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]
Therefore, we get;
[tex]Z=\dfrac{\dfrac{82}{515} -\dfrac{277}{1,524} }{\sqrt{\left (\dfrac{\dfrac{82}{515} \times \left(1 - \dfrac{82}{515} \right) }{1,545}+\dfrac{\dfrac{277}{1,524} \times \left (1 - \dfrac{277}{1,524} \right)}{1,524} \right )}} \approx -1.66[/tex]
From the the p-value at z ≈ -1.66 is p = 0.04846.
i) The z-Critical at 0.01 significant level is 2.58
ii) Given that the p-value, 0.04846, is larger than the significant level, 0.01, the p-value is not significant, and we fail to reject the null hypothesis
There is sufficient statistical evidence to suggest that there is no difference in the proportion of the subject on the ginkgo treatment and the proportion of the subject on the placebo treatment that have dementia, we therefore reject the claim that the herb ginkgo biloba is effective for the treatment of dementia.
Select the correct answer.
Which graph represents this equation?
Y=3/2x to the second -6x
Answers
Answer:
the answer is D
Step-by-step explanation:
First you make the y = 0 then you swap the sides
3/2x^2-6x=0 then you factor the expressions X * (3/2x-6)=0. when the product of factors 0, one of the factors are 0. X=0 finally solve for the other X. 3/2x-6=0 X=0 X=4
The probability of a football team winning a game is three fifths. If they play 45 games in a season, how many games would you expect them to win
Answers
Answer:
27 games
Step-by-step explanation:
The probability of them winning is 3 out of 5 games.
First, multiply 45 by [tex]\frac{3}{5}[/tex]
[tex]\frac{45}{1} *\frac{3}{5}[/tex]
[tex]\frac{135}{5}[/tex]
27 games.
You could also just multiply 45 by 3 then divide by 5. Mostly the same thing
I hope this helps!
Which is an equivalent equation solved for g? StartFraction A t Over 60 EndFraction equals g.= g StartFraction A Over 60 t EndFraction equals g. = g StartFraction 60 A Over t EndFraction equals g. = g 60At = g
Answers
Answer:
A. StartFraction A t Over 60 EndFraction equals g
g = At/60
Step-by-step explanation:
The goals against average (A) for a professional hockey goalie is determined using the formula A = 60 a equals 60 left-parenthesis StartFraction g Over t EndFraction right-parenthesis.. In the formula, g represents the number of goals scored against the goalie and t represents the time played, in minutes. Which is an equivalent equation solved for g?
A. StartFraction A t Over 60 EndFraction equals g
B. StartFraction A Over 60 t EndFraction equals g
C. StartFraction 60 A Over t EndFraction equals g. = g 60At = g
Given equation:
A = 60(g/t)
Where,
A = Average goal
g = number of goals scored against the goalie
t = the time played
Which is an equivalent equation solved for g?
A = 60(g/t)
Open parenthesis
A = 60g / t
Cross product
A * t = 60g
At = 60g
Divide both sides by 60
g = At/60
Answer:
At/60 = g
( option A )
Factorize this 5y2 + 2y – 3a2?
Answers
Answer:
y(5y +2) -3a²
Step-by-step explanation:
that is the solution above
determine the equation of a perpendicular line to y= -3/5x + 14, y-intercept 8
Answers
9514 1404 393
Answer:
y = 5/3x +8
Step-by-step explanation:
The slope of the perpendicular line is the opposite reciprocal of the slope of the given line. The given slope is -3/5, so the perpendicular slope is ...
-1/(-3/5) = 5/3
That and the given y-intercept can be put into the slope-intercept equation ...
y = mx + b . . . . . line of slope m and y-intercept b
y = 5/3x + 8
I'm Timed
Which situation could this expression represent?
6 + 15 ÷ 3
Michael has 6 stamps in his collection. He adds 15 more stamps to the collection. He divides the collection into 3 piles. How many stamps are in each pile?
Walter has 6 stamps in his collection. He divides the stamps evenly into 3 piles and adds 15 new stamps to one of the piles. How many stamps are in this pile?
Andy has 15 stamps in his collection. He divides the stamps evenly into 3 piles and adds 6 stamps to one of the piles. How many stamps are in this pile?
Brycen has 15 stamps in his collection. He adds 6 more stamps to the collection. He divides the collection into 3 piles. How many stamps are in each pile?
Answers
Answer:
It's Micheal because he started with 6 and added 15 and he divided them into 3 piles
Which toy pack cost of 2.50 per toy ?(brainlist will be given out)!!
Answers
Answer: Yo-yo
Concept:
In order to find the Cost Per Toy, we need to do the operation Cost / Toy.
Solve:
Slinky = Cost / Toy = 9 / 5 = $1.8 per toy
Wind-up robot = Cost / Toy = 16 / 8 = $2 per toy
Yo-yo = Cost / Toy = 15 / 6 = $2.5 per toy
Emoji beach ball = Cost / Toy = 3 / 2 = $1.5 per toy
Hope this helps!! :)
Please let me know if you have any questions
A city has a property tax rate of 70 mills and an assessment level of 40%.
What is the effective property tax rate? Round your answer to the nearest
tenth of a percent.
Answers
Mill rate is a tax rate—the amount of tax payable per dollar of the assessed value of a property. Mill is derived from the Latin word millesimum, meaning thousandth. As used in property tax, 1 mill is equal to $1 in property tax levied per $1,000 of a property's assessed value.
SEE QUESTION IN IMAGE
Answers
Answer:
b) 16.8 gStep-by-step explanation:
The modal group is 10-20, as it has the greatest frequency of 27.
Estimated mode is calculated by formula:
EM = L + (f(m) - f(m-1))/(f(m) - f(m-1) + f(m) - (f(m+1))*w,where
L- lower class boundary of the modal group =10 fm-1 - frequency of the group before the modal group = 10 fm - frequency of the modal group =27 fm+1 - frequency of the group after the modal group = 19 w - group width = 10Substitute values to get:
EM = 10 + (27 - 10)/(27 - 10 + 27 - 19)*10 = 16.8The population, P, of six towns with time t in years are given by the following exponential equations:
(i) P = 1000 (1.08) Superscript t (ii) P = 600 (1.12) Superscript t
(iii) P = 2500 (0.9) Superscript t (iv) P = 1200 (1.185) Superscript t
(v) P = 800 (0.78) Superscript t (vi) 2000 (0.99) Superscript t
Which town decreasing the fastest?
a.
ii
c.
iii
b.
v
d.
vi
Please select the best answer from the choices provided
A
B
C
D
Answers
Given:
The population, P, of six towns with time t in years are given by the following exponential equations:
(i) [tex]P=1000(1.08)^t[/tex]
(ii) [tex]P = 600 (1.12)^2[/tex]
(iii) [tex]P =2500 (0.9)^t[/tex]
(iv) [tex]P=1200 (1.185)^t[/tex]
(v) [tex]P=800 (0.78)^t[/tex]
(vi) [tex]P=2000 (0.99)^t[/tex]
To find:
The town whose population is decreasing the fastest.
Solution:
The general form of an exponential function is:
[tex]P(t)=ab^t[/tex]
Where, a is the initial value, b is the growth or decay factor.
If b>1, then the function is increasing and if 0<b<1, then the function is decreasing.
The values of b for six towns are 1.08, 1.12, 0.9, 1.185, 0.78, 0.99 respectively. The minimum value of b is 0.78, so the population of (v) town [tex]P=800 (0.78)^t[/tex] is decreasing the fastest.
Therefore, the correct option is b.
Help anyone can help me do this question,I will mark brainlest. The question is find the area of the shaded region.
Answers
Answer:
13. 10
14. 51
Step-by-step explanation:
Answer:
13. 10
14. 51
Step-by-step explanation:
4. (01.03 MC)
Karissa purchased a set of LED lights online that normally sells for $65.00 but was marked down to $57.20. What is the discount rate Karissa received? (2 points)
A 12% B 22 C 67%
Answers
Answer:
12% discount
Step-by-step explanation:
Take the change in price
65 - 57.20 =7.80
And divide by the original price
7.80/65=.12
Change to percent form
12%
HEEEEEEEEEEEEEEEEEEEELP
Answers
Answer:
5:30 PM
Step-by-step explanation:
35 mp ½ hour = 70 mph
245 miles ÷ 70 mph = 3½ hours
2PM + 3½ hours = 5:30 PM
NOW ASAP PLEASE NEED FAST ANSWERRRRRRRR
Answers
Let's take any 2 points from the line.
1. (-4,-2)
2. (-2,-7)
[tex]slope \\ = \frac{Δy}{Δx} \\ = \frac{y_{2} - y_1}{x_{2} - x_1} \\ = \frac{ 7 - ( - 2)}{ - 2 - ( - 4)} \\ = \frac{5}{2} \\ = 2 \frac{1}{2} \\ = 2.5[/tex]
SOMEONE HELP PLSSS
3. Which ratio would NOT be involved in the altitude or leg rule?
Answers
Answer:
AB/AD = AD/AC
Step-by-step explanation:
From the triangle given, we can get the required expression to calculate CD using the altitude theorem as shown:
AB/CB = CB/DB (Hypotenuse/Adjacent side using the similar triangle ABC and CDB)
AB/AC = AC/AD (Hypotenuse/Opposite side using the similar triangle ABC and ACD)
BD/CD = CD/AD (Adjacent/Opposite side using the similar triangle BCD and ACD)
Hence the odd one out will be option C AB/AD = AD/AC (since there is no altitude CD in the expression)
Answer:
AB/AD = AD/AC
Step-by-step explanation:
Had it on my quiz
Mary wants to buy a mobile phone; the least expensive one she's spotted so far is $15. Mary has $4.25 saved for a mobile phone. If Mary works at a rate of $2.15 per hour, how many hours (H) will she have to work in order to afford a mobile phone?
Answers
Answer:
Mary would have to work 5 hours to afford a mobile phone.
Step-by-step explanation:
$15-$4.25= $10.75 that Mary would need to save.
2.15 x 5= 10.75
A school bus has seating for 75 students. There are 13 buses at a school. What is the maximum number of students
the buses can seat
225 students
750 students
975 students
985 students
Help
Answers
Answer:
75 students and 13 buses are just 75 x 13
975 students
Step-by-step explanation:
75 x 13 = 975
975
Step-by-step explanation:
13 x 75 = 975
A sociologist polled a random collection of people and asked them their
age and annual income. The two-way frequency table below shows the
results. Which of the following is true about the people polled?
A
People age 44 and under were more likely to earn at
least $50,000 than people age 45 and up.
B
People age 44 and under were less likely to earn at
least $50,000 than people age 45 and up.
C
People age 44 and under were equally likely to earn
at least $50,000 as people age 45 and up.
D
There is not enough information to determine if
people age 44 and under were more likely to earn at
least $50,000 than people age 45 and up.
Answers
Answer:
B
Step-by-step explanation:
this is for my lil bro. I kinda forgot how to do this so help would be appreciated.
Answers
Answer:
Yes
Step-by-step explanation:
-10x+4y ≥-4
Plug in (0,-1)
-10(0) +4(-1) ≥-4
-4 ≥ -4
This is a true statement so the point is a solution
Answer:
Yes
Step-by-step explanation:
Substitute x = 0 and y = -1
Then
[tex] - 10(0) + 4( - 1) \geqslant - 4 \\ - 4 \geqslant - 4[/tex]
16. DEFG is a square. Find the value
of x.
Answers
Answer:
calculate the volume of a prism whose length is 25cm and cross-section is an equilateral triangle of sides 3
Answer:
a square adds up to 360°degrees so 1 angle adds to 90degrees so 18x° =90°
so x=5
Question 9 (5 points)
3
6
9
--
What's the approximate measure of one interior angle of the regular polygon shown?
12
A) 1,620°
>
15
B) 220°
C) 2.7°
18
D) 147.3°
Answers
Answer:
147.3
Step-by-step explanation:
this is an hendecagon there is 11 sides the total interior measure is 1,620 if you divide that by each side which would be 11 you get 147.272727 which would ultimately round up to be 147.3
please show me the steps to solve this
2n^2 = -144
Answers
Answer: [tex]\large \boldsymbol{} \pmb{6\sqrt{2} i}[/tex]
Step-by-step explanation:
[tex]\large \boldsymbol{} \bf i=\sqrt{-1} \\\\ 2n^2=-144 \\\\n^2=-72 \\\\n=6\sqrt{2} i[/tex]
[tex]\\ \sf\longmapsto 2n^2=-144[/tex]
[tex]\\ \sf\longmapsto n^2=\dfrac{-144}{2}[/tex]
[tex]\\ \sf\longmapsto n^2=-72[/tex]
[tex]\\ \sf\longmapsto n=\sqrt{-72}[/tex]
[tex]\\ \sf\longmapsto n=8.4i[/tex]
Plz explain q22 in detail, and if you could the fastest way to do it.
Answers
Answer:
Hello,
Step-by-step explanation:
30°=π/6 (rad)
[tex]L=\theta*R=\dfrac{\pi}{6} *120\\\\=20*\pi\\\\\approx{20*3=60\ (cm)}[/tex]
can someone plz make a histogram for the numbers 60,60,65,71,72,75,80,88,92,95,100,152
Answers
Answer:
lol sorry i don't know. but i would try my best to find your answer
the expression 3xy+12y-5x+7w has how many terms in polynomial ??
Answers
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
There are 4 individual terms in the polynomial:
3xy
12y
-5x
7w
3/4 - 3/5
please give me answer
Answers
Hey there! I believe these are the two correct options!
Decimal form: 0.15
Fraction form: [tex]1 \frac{7}{10}[/tex]
Hope this helps!
3/4 - 3/5
Take LCM 20
So 3/4×5/5 and 3/5×4/4
= 15/20 - 12/20
= 3/20
Must click thanks and mark brainliest
f(x)=-(x+2)^2+3 put in standard form
Answers
Answer:
F(x)=-x^2-4x-1
Step-by-step explanation:
According to PEMDAS, do the exponent part for the parentheses, sense it goes first.
F(x)= -(x^2+4x+4)+3
Then distribute the - sign
F(x)= -x^2-4x-4+3
Then you simplify
F(x)= -x^2-4x-1
Answer:
Hello,
Step-by-step explanation:
do I remind you of the formula (a+b)²=a²+2ab+b²
[tex]f(x)=-(x+2)^2+3\\\\=-(x^2+4x+4)+3\\\\=-x^2-4x-4+3\\=-x^2-4x-1[/tex]
Sorry i haven't see the sign minus before the parenthesis.
