if f(x) = -3x - 5 and g(x) = 4x-2, find (f+g)(x)
Answer:
(f+g)(x) = x - 7
Step-by-step explanation:
it is simple - when adding 2 functions your simply add both expressions. and the result is then the function of the sum.
the same applies also to other arithmetic operations.
-3x -5 + 4x - 2 = x - 7
What is the future value of a R 75 000 deposit made every 6 months for 3 years using an annual rate of 10% compounded semi-annually?
Answer:
The future value is: RS 132867.075
Step-by-step explanation:
Given
[tex]PV = 75000[/tex] --- present value
[tex]r = 10\%[/tex] --- annual rate
[tex]n = 6[/tex] --- number of times compounded (3 years/ 6 months)
Required
The future value
This is calculated as:
[tex]FV =PV * (1 + r)^n[/tex]
[tex]FV = 75000 * (1 + 10\%)^6[/tex]
[tex]FV = 75000 * (1 + 0.10)^6[/tex]
[tex]FV = 75000 * (1.10)^6[/tex]
[tex]FV = 132867.075[/tex]
Hence, the future value is: RS 132867.075
Evaluate the expression for x=1 and y=9
3x+y=
Answer:
12
Step-by-step explanation:
x = 1 and y = 9 so 3x1 + 9 = 12 as 3 x 1 is 3 and adding 9 to it will give 12
The Utica Boilermaker is a 15-kilometer road race. Sara is signed up
to nin this race and has done the following training runs:
I.
10 miles
II.
44,880 feet
III. 15,560 yards
Which run(s) are at least 15 kilometers?
Answer:
10 miles
Step-by-step explanation:
10 miles= 16093.44km
44880ft=13.679424km
15560yards= 14.228064
Is it Isaiah , 41:10 ?
Answer:yes it is
Step-by-step explanation:
I would appreciate if someone could answer this :)
Answer:
x = 8
y = 6
Step-by-step explanation:
Recall that one of the properties of a parallelogram is that the diagonals bisect each other, which means they divide each other into equal segments.
Therefore,
LP = PN
x = y + 2 (eqn. 1)
PM = KP
2x - 8 = y + 10 (eqn. 2)
Substitute x = y + 2 into eqn. 2 to find y
Thus:
2(y + 2) = y + 10
2y + 4 = y + 10
Take like terms
2y - y = -4 + 10
y = 6
Substitute y = 6 into eqn. 1 to find x:
x = y + 2 (eqn. 1)
x = 6 + 2
x = 8
help plsss it’s timed i need to passss plsss
Answer:
65°
Step-by-step explanation:
To obtain Angle A, we use the cosine rule ;
Cos A = (b² + c² - a²) / 2bc
Cos A = (12² + 14² - 14²) / 2(12)(14)
Cos A = 144 / 336
A = Cos^-1(144/336)
A = 64.62°
A = 65°
A calculator was used to perform a linear regression on the values in the
table. The results are shown to the right of the table.
х
y
1
9
N
6
LinReg
y = ax+b
0=-3.6
b=12.8
r2=.9969230769
r=-.9984603532
3
2
4
-2
5
-5
What is the line of best fit?
A. y = -3.6x + 12.8
O B. -0.998 = -3.6x + 12.8
O c. y = 12.8x - 3.6
D. y = -0.998x + 12.8
Answer:
Step-by-step explanation:
A y = -3.6x + 12.8
The line of best fit is,
⇒ y = - 3.6x + 12.8
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, Given that;
⇒ y = ax + b.
And, the best fitting line has values of a = - 3.6 and b = 12.8.
Hence, All you need do is put that into the general equation and try different values for it.
So you have y = - 3.6 x + 12.8
Now Let's run a couple of numbers.
The table shows 1 and 9 for the first entry. This means when x = 1, y should come pretty close to nine.
y = - 3.6(1) + 12.8
y = 9.2
Which is not a bad result for x = 1
You might want to check to see if anything else comes closer in your choices. If it does, then you have to try other points.
C
-0.998 = -3.6(1) + 12.8
This answer cannot work. We've already shown that x =1 will leave us close to 9 not -998
So, C is incorrect.
B
y = 12.8x - 3.6
Let x = 1
y = 12.8(1) - 3.6
y = 9.2 is right by coincidence. We must try another value. The hardest one is going to be 5 and - 5
y= 12.8*5 - 3.6
y = 64 - 3.6 which is no where's near - 5.
So B is wrong.
A
y = -0.998(1) + 12.8 Does this give 9 or anywhere near it? 11.802 You might argue that that is not a bad result. So let's try another pair.
x = 3. y should come to somewhere near 2.
y = -0.998 * 3 + 12.8 which comes to roughly nine. You can check this out.
It is not close enough to 2 to be acceptable.
Thus, The correct option is,
⇒ y = - 3.6x + 12.8
Learn more about the mathematical expression visit:
brainly.com/question/1859113
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PLEASEEEEEE HELPPPPPP IM BEGGGGINGGG SOMEONE PLEASEEEEE PLEASEEEEEEE
Answer:
x+120°+20°=180°[ sum of interior angle of triangle]
x+140°=180°
x=40°
then,
x+y= 180°[being straight line]
40°+y= 180°
y=140°
In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 23% of your total grade, each major test is worth 25%, and the final exam is worth 27%. Compute the weighted average for the following scores: 74 on the lab, 69on the first major test, 62 on the second major test, and 85 on the final exam. (Enter your answer to one decimal place.)
Answer:
72.7 is the weighted average score
Step-by-step explanation:
The weighted average score
= score of lab * % share of total grade + score of first major test * % share of total grade + score of second major test * % share of total grade + Score of the final exam * % share of total grade
Substituting the given values, we get -
0.23 * 74 + 0.25 * 69 + 0.25 * 62 + 0.27 * 85
= 72.7
What miss take did she do.
Answer:
the scale factor is
-2 and
-4
What’s the simplification
Answer:
D. [tex]4^{15}[/tex]
Step-by-step explanation:
[tex]=(4^3)^5[/tex]
Multiply the exponent inside the parenthesis with the exponent outside.
[tex]=4^{15}[/tex]
Hope this helps.
Answer:
4^15
Step-by-step explanation:
Ok, so lets replace the base, 4, with x so we don’t get confused by it:
(X^3)^5
When we raise a power to a power, we multiply them , so:
(X^15)
Remember x is 4, so:
4^15 is the answer
calculate the surface area and the volume of cube with length 10m and 13cm
Answer:
Cube with 10 cm
SA = 600 cm V = 1000 cm
Cube with 13 cm
SA = 1014 cm V = 2197
Step-by-step explanation:
SA = 6[tex]s^{2}[/tex]
V = [tex]s^{3}[/tex]
s = side length
I need help 6+2 plz answer for brain
Answer:
8
Step-by-step explanation:
i have 6 apples + 2 peers
Answer:
6 plus 2 equals 8
Step-by-step explanation:
If you have 6 apples and your mom gives you 2 more apples then you will have 8 apples.
6,7,8
12s + 10t = 54
6s + 10t = 42
What is a and what is t
Answer:
First equation has extra 6s and this extra 6s=54-42=12
6s=12. s=2
Step-by-step explanation:
6*2+10t=42 ........ 10t=30 t=3
Answer:
s = 2 and t = 3
Step-by-step explanation:
Assuming you were suppose to type s instead of a,
12s + 10t = 54 -- (1)
6s + 10t = 42 -- (2)
(1) - (2) : 6s = 12
s = 2 -- (3)
Substituting (3) into (2),
12 + 10t = 42
10t = 30
t = 3 -- (4)
Therefore, s = 2 and t = 3
If this helps you, please mark brainliest!
Have a nice day!
0. 1. 9. In Sujata asked 100 coffee drinkers whether they like cream or sugar in their coff According to Venn diagram below, how many like. (a) Cream (b) Sugar (c) Sugar but not cream (d) Cream but not sugar (e) Cream and sugar (f) Cream or sugar
Answer:
36, 55 , 35, 16, 20, 71
Step-by-step explanation:
Total number of coffee drinkers, U = 100
Let
n(Cream) = C
n(Sugar) = S
n(cream and sugar) = n(CnS) = 20
Number that like cream = n(C) + n(CnS) 16 + 20 = 36
Nunber that like sugar = n(S) + n(CnS) = 35 + 20 = 55
Sugar but not cream = 35 (from. Venn diagram)
Cream but not sugar = 16 (From. Venn diagram)
Cream and sugar = n(CnS) = 20
Cream or sugar = n(CuS) = 16 + 20 + 35 = 71
camila is saving money to buy a 5 piece drum set that costs $360. She already has 80.00 saved and can earn the rest of the money by washing 20 cars. If m represents how much she earns for washing each car, which of the following equations can be solved to find how much Camila is paid for washing each car? Does anyone know
A. 20m -80 = 360
B. m(20+80) = 360
C. 360-80=20m
D. 80 + m= 360
Answer:
c
Step-by-step explanation:
two plus two
helppp thxxxxxxxxxxx
Answer:
YES
Step-by-step explanation:
Yes, because the golden ratio has the value of 1.61803398875
The ratio 8.8:5.5 = 1.6.
They are very close, so yes.
Nikki bought a patio set on sale for $480. The original price was $850. What was the rate of discount?
Round your answer to the the nearest tenth of a percent
Answer:
43.5 % decrease
Step-by-step explanation:
Take the original price and subtract the new price
850-480
370
Divide by the original price
370/850
.435294118
Change to percent form by multiplying by 100
43.5294118 % decrease
43.5 % decrease
Recent incidents of food contamination have caused great concern among consumers. An article reported that 31 of 80 randomly selected Brand A brand chickens tested positively for either campylobacter or salmonella (or both), the leading bacterial causes of food-borne disease, whereas 61 of 80 Brand B brand chickens tested positive.
Required:
a. Does it appear that the true proportion of non-contaminated Perdue broilers differs from that for the Tyson brand? Carry out a test of hypotheses using a significance level 0.01 by obtaining a P-value.
b. If the true proportions of non-contaminated chickens for the Perdue and Tyson brands are 0.50 and 0.25, respectively, how likely is it that the null hypothesis of equal proportions will be rejected when a 0.01 significance level is used and the sample sizes are both 80?
Answer:
a) z(s) is in the rejection region for H₀ we reject H₀.
We have enough support to conclude that the two populations are different
z(s) is in the rejection region so we reject H₀
The two population have a different proportion of non-contaminated food
Step-by-step explanation:
Conditions:
-Independent samples
-Random samples
- Size samples big enough
a) A Brand Chickens Sample:
sample size n₁ = 80
We will go through a z- test
number of contamination cases x₁ = 31
Then p₁ = 31/80 p₁ = 0.3875 and q₁ = 1 - p₁ ; q₁ = 1 - 0.3875
q₁ = 0.6125
B Brand Chickens Sample:
sample size n₂ = 80
number of contamination cases x₂ = 61
Then p₂ = 61/80 p₂ = 0.7625 and q₂ = 1 - p₂ ; q₂ = 1 - 0.7625
q₂ = 0.2375
Hypothesis Test:
Null Hypothesis H₀ p₂ = p₁
Alternative Hypothesis Hₐ p₂ ≠ p₁
The alternative hypothesis call for a two-tail test ( ≠ ) we will test if the proportion differs )
A significance level α = 0.01 then α/2 = 0.005
From z -Table α/2 = 0.005 correspond to z(c) = 2.575
To calculate z(s)
z(s) = ( p₂ - p₁ ) / √( p₁*q₁/n₁) + (p₂*q₂)/n₂)
z(s) = ( 0.7625 - 0.3875 ) / √(0,3875*0.6125)/80 + (0.7625*0.2375)/80
z(s) = ( 0.375 ) / √(0.00296) + (0.00226)
z(s) = ( 0.375 ) /0.072
z(s) = 5.21
Comparing z(s) and z(c) z(s) > z(c)
z(s) is in the rejection region for H₀ we reject H₀.
We have enough support to conclude that the two populations are different
b) folowing the same procedure now talking about non-contaminated chickens
Tyson Brand Chickens p₁ = 0,5 then q₁ = 0.5
Perdue Brand chickens p₂ = 0.25 then q₂ = 0.75
n₁ = n₂ = 80
Hypothesis Test:
Null Hypothesis H₀ p₁ = p₂
Alternative Hypothesis Hₐ p₁ ≠ p₂
Alternative hypothesis indicates a two-tail test
z(c) = 2.575
And z(s) = (0.5 - 0.25)/ √(0.5*0.5)/80 + (0.25*0.75)/80
z(s) = 0.25 / √( 0.003125 + 0.002343
z(s) = 0.25 / 0.0739
z(s) = 3.38
Comparing z(s) and z(c)
z(s) > z(c)
z(s) is in the rejection region so we reject H₀
The two population have different proportion of non-contaminated food
prove that 1 + sin a + cos 2A upon 1 + Sin A minus Cos 2A = 2 cot a prudent
Answer:
LHS×0=RHS×0
0=0
hence,proved
Which is the graph of f(x) = x2 - 2X + 3?
The distance between major cracks in a highway follows an exponential distribution with a mean of 5 miles. (a) What is the probability that there are no major cracks in a 10-mile stretch of the highway
Answer:
[tex]P(Y=0) = 0.1353[/tex]
Step-by-step explanation:
From the question we are told that:
Exponential distribution mean [tex]\=x = 5 miles[/tex]
Distance [tex]d=10miles[/tex]
Generally the equation for Exponential distribution is mathematically given by
[tex]\lambda=\frac{1}{E(X)}[/tex]
[tex]\lambda=\frac{1}{5}[/tex]
Therefore
Possion Y
[tex]10\lambda=10*(1/5)[/tex]
[tex]10\lambda=2[/tex]
Generally the equation for The probability that there are no major cracks in a 10 mile stretch of the highway is mathematically given by
[tex]P(Y=0) = \frac{e-2 (2)0}{0!}[/tex]
[tex]P(Y=0) = e-2[/tex]
[tex]P(Y=0) = 0.1353[/tex]
I’ll give u brainlest if u answer this question
If someone can pls give the answer with steps that would be greatly appreciated :)
Answer:
Slope = 3
intercept = 2
y = 3x + 2
angle y = 70
angle x = 110
Step-by-step explanation:
Let $a$ and $b$ satisfy $ab=7$ and $a+b=5$. What is the value of $a^2 + b^2$?
Brainly to correct answer!
Answer:
11
Step-by-step explanation:
(a+b)^2=a^2+b^2+2ab
a^2+b^2=(a+b)^2-2ab
=5^2-14
=11
How many solutions does the nonlinear system of equations graphed below have?
Answer:
2
Step-by-step explanation:
2 is the answer because the circle touches the line only 2 times.
Hope this helps.
Each bag needs 5.44 oz of dough the baker purchased 13.6 lab of dough how many bags of bread can be produce
Step-by-step explanation:
10075 .+#!!#+#!$!$++$7$+"$($(
Graph the line that represents a proportional relationship between y and x where the unit rate of change of y with respect to xxx is 5/3 In other words, a change of 1 unit in x corresponds to a change of 5/3 units in y. Graph the line and write the equation of the line.
Use numbers 1-9 in the graph negative and positive THANK YOU
Answer:
The equation of the line is, "y = 5/3x."
Step-by-step explanation:
Here are the pictures of the graph and points attached:
25x power square - 36 y power square
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { (5x + 6y)(5x - 6y) }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] ={25x}^{2} - 36 {y}^{2} [/tex]
[tex] = ({5 \times 5)x}^{2} - (6 \times 6){y}^{2} [/tex]
[tex] = ({5x})^{2} -( {6y})^{2} [/tex]
[tex] = (5x + 6y)(5x - 6y)[/tex]
Note:[tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]