Answer:
x² + 3x - 11
Step-by-step explanation:
Adding functions: (f + g)(x) is equivalent to f(x) + g(x)
Here, we are given:
f(x) = 7x - 3g(x) = x² - 4x - 8Simplify:
(7x - 3) + (x² - 4x - 8)
7x - 3 + x² - 4x - 8
x² + 3x - 11
Learn more about adding functions here:
brainly.com/question/12122417
11. Find the equation for the circle with center (−2,−3) and passing through (1,5).
Answer:
(x +2)² + (y+3)² = 73
Use the distance formula to find radius:
[tex]\sf d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
where (x1, y1), (x2, y1) are points
[tex]\rightarrow \sf \sqrt{(-2-1)^2+(-3-5)^2}[/tex]
[tex]\rightarrow \sf \sqrt{73}[/tex]
Eqaution of circle:
(x-h)² + (y-k)² = r²
(x-(-2))² + (y-(-3))² = (√73)²
(x +2)² + (y+3)² = 73
Use the properties of limits and the facts given below to find each of the limits given
Answer:
where are the limit questions?
ok but can u crank 90s
Which chip design has a greater probability of selection than what the actual results show after the 10 draws?
stripe
dot
star
heart
Answer:
the stripe chip design has
the greatest probability of selection
Step-by-step explanation:
p(draw a dot chip) = 1/10
p(draw a star chip) = 2/10
p(draw a heart chip) = 3/10
p(draw a stripe chip) = 4/10
4/10 > 3/10 > 2/10 > 1/10
Therefore , the stripe chip design has
the greatest probability of selection.
Write the equality in the given diagram below
Answer :
[tex]x < 2[/tex]
A recent community survey of 100 citizens showed that 55% of respondents approved of water rationing. The data was simulated 500 times. In those simulations, the lowest sample was p^ =45 and the highest sample was p^ =66. Use the standard deviation method for determining the error margin with 95% confidence.
A. What is the error margin?
B. What is the interval estimate for the true population proportion?
C. From this estimate, can you say for certain that the majority of the community supports water rationing?
The interval estimate for the true population proportion is 45.25% to 64.75% and we can conclude that the majority of the community supports water rationing
How to determine the error margin?The given parameters are:
p = 55% = 0.55n = 100Confidence level = 95%The error margin is calculated using:
[tex]E = z * \sqrt{\frac{p* (1 - p)}{n}}[/tex]
Where z is the critical value.
At 95% confidence level, the critical value is:
z = 1.96
So, we have:
[tex]E = 1.96 * \sqrt{\frac{0.55 * (1 - 0.55)}{100}}[/tex]
Evaluate
[tex]E = 1.96 * \sqrt{0.002475}[/tex]
Evaluate
E = 0.0975
Hence, the error margin is 0.0975
How to determine the interval estimate for the true population proportion?This is calculated using:
I = p ± E
So, we have:
I = 0.55 ± 0.0975
Expand
I = (0.55 - 0.0975, 0.55 + 0.0975)
Evaluate
I = (0.4525, 0.6475)
Express as percentage
I = (45.25%, 64.75%)
Hence, the interval estimate for the true population proportion is 45.25% to 64.75%
How to interpret the estimate?From the simulation,
Lowest sample p = 45% Highest sample p =66%The values are approximately the interval estimates.
i.e.
45.25% ≈ 45% and 64.75% ≈ 65%
Hence, we can conclude that the majority of the community supports water rationing
Read more about confidence intervals at:
https://brainly.com/question/15712887
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3) Jasmine says "I am 45 kilos". Yolander says, " I am 53 kilos". Both are measured to
the nearest kilogram.
What is the greatest possible difference between their masses? Show how you
worked out your answer.
spanish 45 kilis la respuesta seria que los yolander son 53kilos
Mrs. Smith gave two classes the same quiz. She randomly selected 5 students from each class to compare the classes. The scores of the five students are shown below.
Class A: 80, 82, 74, 92, 94
Class B: 82, 80, 88, 86, 82
What are the mean and range for each class?
Using the information found in Part A, which class could Mrs. Smith report had the more consistent performance on the unit test? Explain what this means in terms of the situation.
Answer:
class B because every scores range is withing 6 or less
Answer:
See below ~
Step-by-step explanation:
Class A :
Mean = 80 + 82 + 74 + 92 + 94 / 5Mean = 422/5Mean = 84.4Range = Highest score - Lowest scoreRange = 94 - 74Range = 20
Class B :
Mean = 82 + 80 + 88 + 86 + 82 / 5Mean = 418/2Mean = 83.6Range = Highest - LowestRange = 88 - 80Range = 8
Class B had the more consistent performance because the range of scores is significantly less. This means that the students in Class B were more prepared than Class A for a quiz.
hlp!
options:
A. [tex]x\leq -5[/tex]
B. [tex]x\geq -5[/tex]
C.[tex]x\geq 2[/tex]
D.[tex]x=4[/tex]
Answer:
Option B
x ≥ (-5)
Step-by-step explanation:
Given;-3(x + 4) ≥ x + 8So,
-3(x + 4) ≥ x + 8
-3x – 12 ≥ x + 8
Add both sides 12 we get,
-3x – 12 + 12 ≥ x + 8 + 12
-3x ≥ x + 20
Similarly, subtract x from both sides we get,
-3x – x ≥ x – x + 20
-4x ≥ 20
Then, divide both sides by (-4) we get,
-4x/(-4) ≥ 20/(-4)
x ≥ -5
Thus, The answer is x ≥ (-5).
Look at the image!
iready
a =80 vertically oposite angle
a+b=180 angle of the same side of transversal are 180 degree
so b=180-80
=100
c=b vertically oposite angle
b=100=c
c= 100
I hope it's helpful for you
Answer:
a=80, b=100, c=100
Step-by-step explanation:
Because A is directly across from 80 degrees, A is also 80 degrees. They are alternate angles, and so they equal the same thing. B is 100, because it is on the same line as 80, and a line equals 180 degrees. C is also 100 degrees, because it is across from B and on the same line as A, which is 80 degrees.
Hope this helps!
(4x+3)(6x-3) = 0
What is the positive solution to the problem?
Answer:
The positive solution is 1/2
Step-by-step explanation:
(4x+3)(6x-3) = 0
We can use the zero product property to find the zeros
4x+3 =0 6x-3 =0
4x =-3 6x = 3
x = -3/4 x = 3/6
x = -3/4 x = 1/2
The positive solution is 1/2
Give a full description of how you solve it and I'll give the brainiest. Solve both, please.
(5, -7) and (6,-4)
What is the slope?
if g(x) = 3x+1 what is g(2)?
Answer:
7
Step-by-step explanation:
Substitute 2 into x
g(2)= 3(2)+1
= (3x2)+1
= 6+1
= 7
does someone mind helping me with this problem? Thank you!
Anyea
Step-by-step explanation:
Answer:
180 inches squared (^2)
Step-by-step explanation:
To find the area of a rectangle, simply multiply the length by the width (15*12)
Don't forget it is squared! Good luck!
Greenwood Middle School is having a math competition. Four students are called to the stand to answer a question. The question is:
51.32 – 11.98
Answer: 39.34
Step-by-step explanation:
n the diagram, what is AC?
A.
6
B.
12.33
C.
10
D.
12
Answer:
since we are not given the value of AC we say that AC =6×10=60
Richard takes a hang gliding lesson. He
lifts off at the top of a hill and glides
downward for the first 5 minutes.
Then he soars at a consistent elevation
for 10 minutes. The last 3 minutes
he glides upward until he lands on a
smaller hill. Sketch a graph of Richard's
gliding lesson over time.
Answer:
it a nice graph I made
Step-by-step explanation:
yeah just click the image
a tomato sauce company currently sells tomato sauce...
Answer:
you are so good are this so keeping up
Please help me!
How do you simplify the expression[tex]: x*4^8/4^5[/tex]
Answer:
64x
Step-by-step explanation:
Hello!
Using the exponent rule [tex]\frac{a^b}{a^c} = a^{b - c}[/tex], we can simplify the fraction.
Simplify:[tex]x*\frac{4^8}{4^5}[/tex][tex]x* 4^{8 - 5}[/tex] Use the exponent rule.[tex]x * 4^3[/tex] Simplify the power[tex]x*64[/tex] Simplify the exponent[tex]64x[/tex] SimplifyThe simplified expression is 64x.
Write the standard form of the equation of the line described
through: (4,0) parallel to y=4
Answer:
y = 0.
Step-by-step explanation:
The line y = 4 is a horizontal line, parallel to the x-axis.
The point (4,0) is on the axis so the rquired equation is:
y = 0.
Tiana has $70 in an account. The interest rate is 5% compounded annually.
To the nearest cent, how much will she have in 1 year?
Answer:
73 dollars and 50 cents
Step-by-step explanation:
Initial Deposit:
70
Years to Save:
1
Estimated Rate of Return
5
Compound Frequency:
Annually
Earned Interest
$3.50
Total Balance
$73.50
Hope this helps!
Answer:
73.50
Step-by-step explanation:
math
A family of four realized their water bill was high and that a lot of water was being wasted in the shower. They replaced their 5-gallon-per-minute showerheads with ones that only use 3 gallons per minute. If each family member showers for 5 minutes per day and a typical month is 30 days long, how many gallons of water will the family save per month with the new showerheads
Answer:
[tex]5 \times 5 = 25 [/tex]
[tex]25 \times 30 = 750[/tex]
Factor this trinomial
X^2 + 3x - 4
Answer:
(x - 1)(x + 4)
Step-by-step explanation:
What multiplies to (-4) but adds to (3)?
These two values are (4) and (-1). Therefore, these are the values that make up the factored trinomial.
x² + 3x - 4 -----> (x - 1)(x + 4)
You can check your answer by expanding the factors. This is done by multiplying each term within the first parentheses by each term within the second parentheses.
(x - 1)(x + 4) -----> x² - 1x + 4x - 4 -----> x² + 3x - 4
Which of the following units could be used to measure Area? Select all that apply.
a) m2
b) in
c) cm2
d) sq. ft
e) mm
f) yd3
All the area measure units should have square above them.
For example:mm²cm²yd²in²m²km²ft²Hence, option A, C, D is correct.
Answer:
a) c) d)
Step-by-step explanation:
Length is a one-dimensional measure, therefore it is measured in single units.
⇒ m
⇒ cm
⇒ ft
The area of a shape is a two-dimensional quantity (e.g. length × width), therefore it is measured in square units.
⇒ m × m = m²
⇒ cm × cm = cm²
⇒ ft × ft = ft²
The volume of a shape is a three-dimensional quantity (e.g. length × width × height), therefore it is measured in cubic units.
⇒ m × m × m = m³
⇒ cm × cm × cm = cm³
⇒ ft × ft × ft = ft³
Therefore,
length = options b) e)area = options a) c) d)volume = option f)What is the area of this figure?
3 cm
6 cm
3 cm
2 cm
2 cm
5 cm
8 cm
13 cm
What is the answer to this question?
Answer:
[tex]\huge\boxed{\bf\:tan \: Z= \frac{4}{3}}[/tex]
Step-by-step explanation:
We know that, tan θ = opposite side of ∠θ / adjacent side of ∠θ.
Here, we need to find tan Z,
In this triangle for ∠Z,
Opposite side = 28Adjacent side = 21Then,
tan Z
= opposite side / adjacent side
= 28 / 21
= 4 / 3
[tex]\rule{150pt}{2pt}[/tex]
Which of the following ordered pairs does NOT represent a point that lies on the graph of the linear equation x + 5y = 15?
A. (10, 1)
B. (-5, 1)
C.(5, 2)
D.(-10, 6)
Answer:
D
Step-by-step explanation:
(-10,6) got it correct
6 times 10^5 is how many times as as large as 3 times 10^3?
Answer:
200
Step-by-step explanation:
(6 × 10^5) / (3 × 10^3) = 6/6 × 10^5/10^3 = 2 × 10^2 = 200
Answer:
200
Step-by-step explanation:
(6 × 10^5) / (3 × 10^3) = 6/6 × 10^5/10^3 = 2 × 10^2 = 200
!PLEASE HELP!
Find the length of the missing side. Round your answer to the nearest tenth.
A) 11.7
B) 3.8
C) 10.3
D) 5.5
Answer:
C
Step-by-step explanation:
a^2 + b^2= c^2
3.9^2 +b^2=11^2
15.21+b^2= 121
b^2= 105.79
b= 10.28542
round to 10.3
