Using the graph, what is one solution to the equation f(x) = g(x)?
Graph of function f of x equals 4 times x minus 3. Graph of function g of x equals x cubed minus x squared minus 4 times x plus 4.
x = −2.8
x = 0.5
x = 2
x = 3
Answers
Answer: 0.5
( f + g ) (x) = –2x + 6
( f – g ) (x) = 8x – 2
( f × g ) (x) = –15x2 + 2x + 8
g
f
)(x)=
4−5x
3x+2 f (2) = 2(2) = 4
g(2) = (2) + 4 = 6
h(2) = 5 – (2)3 = 5 – 8 = –3
Now I can evaluate the listed expressions:
(f + g)(2) = f (2) + g(2)
= 4 + 6 = 10
(h – g)(2) = h(2) – g(2)
= –3 – 6 = –9
(f × h)(2) = f (2) × h(2)
= (4)(–3)= –12
(h / g)(2) = h(2) ÷ g(2)
= –3 ÷ 6 = –0.5
Step-by-step explanation:
By looking where the functions intercept, we conclude that the correct option is x = -2.8.
What is one solution to the equation f(x) = g(x)?
Here we have:
f(x) = 4x - 3g(x) = x³ - x² - 4x + 4To find a solution of f(x) = g(x), we can graph both equations on the same axis, and see where the curves intercept.
The graph can be seen below:
There, we can see that we have intercepts at:
x = -2.8
x = 0.8
x = 2.9
From these, the only one that appears in the options is the first one, so that is the correct option.
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Related Questions
How much would Greg have saved if he had paid $50 a month instead of the minimum amount? PLS HELP U WILL GET 100 POINTS PLS :D
Answers
Answer:
898.75 is your answer.
Step-by-step explanation:
Please mark brainliest and 5 stars!
What is the equation of a line that passes through the points (3,6) and (8,4)?
5
3
FREE
= x-
27
y-x-2
y=-3x-24
y=-x+
36
5
Answers
Answer:
y = -2/5 x + 4.8
Step-by-step explanation:
1. 6-4/3-8 = 2/-5, m= 2/-5, m = slope
2. y = mx + b, 6 = 2/-5(3) + b
3. 6 = 1.2 + b
4. 4.8 = b
5. y = -2/5 x + 4.8
Without drawing the graph of the function y=1.2x−7, see if the graph passes through points: ( 300; 353)
Answers
Answer:
( 300; 353) is on the line y=1.2x−7
Step-by-step explanation:
y=1.2x−7
Substitute the point into the equation and see if it is true
353=1.2(300)−7
353 =360-7
353 = 353
This point is on the line
Answer:
yes
Step-by-step explanation:
Help me I’ll mark you as brainlist
Answers
Answer:
Step-by-step explanation:
can somebody explain this
Answers
Answer:
You should first find the side length of each square, and then use the Pythagorean theorem to find x.
Step-by-step explanation:
An item is priced at $13.42. If the sales tax is 4%, what does the item cost including sales tax? If necessary, round to the nearest cent
Answers
Answer:
Total cost = $13.96
Step-by-step explanation:
The total to be paid for the item is the addition of its price plus the taxes. That is:
[tex]Total\,\,cost=13.42+0.04\,*\,13.42\\Total\,\,cost=13.42+0.5368\\Total\,\,cost==13.9568[/tex]
Which can be rounded to $13.96
Please help me on this question...will mark brainiest answer
Answers
Answer:
55 degrees
Step-by-step explanation:
Answer:20 degrees
Step-by-step explanation:because all around is 360 you take the 35 times 2 to get 70 and the 125 times 2 to get 250. Add 70 and 250 to get 320. Then subtract 320 from 360 to get 40. 40 is for both missing answers so divide the 40 by 2 to get 20
Today Aimee is 1/3 of Jamie's age. In 12 years, Aimee will be 50% of Jamie's age. How old will Aimee be next year? Please answer quickly, there are bonus points
Answers
Answer:
Next year Aimee will be 13 years old
Step-by-step explanation:
Let's call Aimee's age A, and Jamie's age J.
From the information given, we have that:
A = (1/3) * J
A + 12 = (1/2) * (J + 12)
Using the value of A from the first equation in the second one, we have:
J/3 + 12 = J/2 + 6
J/2 - J/3 = 6
J/6 = 6
J = 36
Now we can find A:
A = (1/3) * 36 = 12
So next year Aimee will be 13 years old
Answer:
Aimee will be 13 years old next year/
Step-by-step explanation:
A stands for Aimee, and J stands for Jamie.
A = (1/3) * J
A + 12 = (1/2) * (J + 12)
Using the value of A from the first equation in the second one, we have:
J/3 + 12 = J/2 + 6
J/2 - J/3 = 6
J/6 = 6
J = 36
Now we can find A:
A = (1/3) * 36 = 12
In conclusion, Aimee will be 13 years old next year.
Classify the real number.
√441
rational number
rational number, whole number, and
integer
rational number and integer
irrational number
Answers
Answer:
rational number, whole number, and integer
Step-by-step explanation:
√441 = 21
21 is an integer, a whole number, and a rational number.
What is the value of the expression?
A 76
B 25
C -3
D-8
Answers
Which of the following is a statistical question?
A. What is the average of all your scores this semester?
B. What was your score on the last exam?
Answers
Answer: A
Step-by-step explanation: A is the statistical question since it complies many test scores together
What is the word for this definition ?
Answers
Answer:
circumference
Step-by-step explanation:
In geometry, the circumference is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment. More generally, the perimeter is the curve length around any closed figure.
Formula
C = 2 \pi r
please help!!!! i will give brainliest
Answers
Answer:
The volume of a cylinder:
[tex]V \approx 150.796[/tex] [tex]ft^3[/tex]
Step-by-step explanation:
To find the volume of a cylinder, you need the this formula:
[tex]V = \pi r^2h[/tex]
-Use the given height and radius for the formula:
[tex]V = \pi 4^2 3[/tex]
-Then, solve the formula:
[tex]V = \pi \times 4^2 \times 3[/tex]
[tex]V = \pi \times 16 \times 3[/tex]
[tex]V = \pi \times 48[/tex]
[tex]V = 48\pi \approx 150.796[/tex]
So, the volume of a cylinder is approximately [tex]150.796[/tex] [tex]ft^3[/tex] .
PLEASE HELP ASAP. TAKING A TIMED TEST.
If an acid has a K, = 1.6 10-10, what is the acidity of the solution?
A. acidic
B. basic
C. neutral
D. the answer cannot be determined
Answers
Answer:
D) The answer cannot be determined
Answer:
D. the answer cannot be determined
A cylinder has a radius of 14 m and a height of 6 m. What is the exact volume of the cylinder? 84π m³ 168π m³ 504π m³ 1176π m³
Answers
Answer:
1176π m³
Step-by-step explanation:
The formula for the volume of a cylinder is:
V = πr²h
Let's substitute the values given into this equation:
V = πr²h
V = (π)(14²)(6)
Solve:
V = (π)(14²)(6)
V = (π)(196)(6)
V = 1,176π
Therefore, the volume of the cylinder is 1176π cubic meters.
Answer:
1176
Step-by-step explanation:
r (radius) = 14 m
h (height) = 6 m
v (volume) = ?
Formula: V=πr2h
We are looking for the volume of the cylinder. We know that the Radius is 14 and the height is 6.
So we need to
1: Radius * 14 * 6
2: Radius * 196* 6
Answer: 1176
Hope this helps.
14. Which set of data is qualitative?
1) number of laps in a race
2) number of swimmers on the team
3) swimmers' favorite swimsuit colors
4) temperature in Fahrenheit of the water in a pool
Answers
Answer:
3
Step-by-step explanation:
Quality is something that doesn't really come in numbers when described.
Jack gives half of his baseball card collection to Bobby. He then loses 5 of his remaining cards. He now has 13 baseball cards. How many cards did he start with?
Answers
A new car sells for $27,500. The value of the car decreases by 14% annually. You want to sell the car when it's worth about $4000. Explain how many years you will keep the car, when you will sell it, and how you determined your answer.
Answers
Answer:
The formula would be:
27500 x (1 - 14/100)^year = 4000
=> (86/100)^year = 4000/27500
=> 0.86^year = 0.145
=> year = log(0.145)/log(0.86) = 12.8
Hope this helps!
:)
Answer:
13 years
Step-by-step explanation:
4000 = 27500 × (1 - 14/100)^t
4000 = 27500 × 0.86^t
0.86^t = 8/55
t ln(0.86) = ln(8/55)
t = 12.78248711
WILL GIVE BRAINLIEST
Patel brings home $2,500 per month. He pays $400 per month for a car payment. What percentage best represents Patel's budget that is designated for his car payment?
Answers
Answer:
Step-by-step explanation:2500 amonth He pays $400 per month on a car which means his budget equals 16percent
The simplified form of an expression is StartFraction 1 Over 256 EndFraction t Superscript 28. Which expression was simplified?
A.(256 t Superscript negative 7 Baseline) Superscript 4
B.(4 t Superscript 28 Baseline) Superscript negative 4
C.(256 t Superscript negative 7 Baseline) Superscript negative 4
D.(4 t Superscript negative 7 Baseline) Superscript negative 4
Answers
Answer:
1/258 *(t^28)
= t^28 / 4^4
= t^28 4^-4
= (t^-7 * 4)^-4
= (4t^-7)^-4
The simplified form of an expression [tex]\frac{1}{256} * t^{28}[/tex] will be [tex](4 t^{-7})^{-4}[/tex] which is given in option number [tex](D)[/tex] i.e. ([tex]4\ t[/tex] Superscript negative [tex]7[/tex] Baseline) Superscript negative [tex]4[/tex] .
What is simplified form ?Simplified form a rational expression is considered simplified if the numerator and denominator have no factors in common.
We have,
[tex]\frac{1}{256} * t^{28}[/tex]
Now to simplify it,
Convert [tex]256[/tex] into a exponent form with a base.
i.e.
[tex]\frac{1}{4^4} * t^{28}[/tex]
Now,
Using the exponent rule;
[tex]\frac{1}{a^n}= a^{(-n)}[/tex]
So,
[tex]4^{-4}\ *\ t^{28}[/tex]
Now, simplify it more by taking common power of [tex]4[/tex] and [tex]t[/tex] ,
[tex](4\ *\ t^{-7})^{-4}[/tex]
⇒ [tex](4 t^{-7})^{-4}[/tex]
So, this is the simplified form of given expression which is given in option number [tex](D).[/tex]
Hence, we can say that the simplified form of an expression [tex]\frac{1}{256} * t^{28}[/tex] will be [tex](4 t^{-7})^{-4}[/tex] which is given in option number [tex](D)[/tex] i.e. ([tex]4\ t[/tex] Superscript negative [tex]7[/tex] Baseline) Superscript negative [tex]4[/tex] .
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n – 3n = 14 – 4n please help I need the work not the answer, answer is 7
Answers
Answer:
7
Step-by-step explanation:
[tex]n-3n=14-4n\\\\-2n=14-4n\\ \\2n=14\\n=7[/tex]
Can someone please help me out I am so confused
Answers
Answer:
If the bottom is not counted, then the answer is 140m2.
If the bottom is counted, then the answer is 240m2
Step-by-step explanation:
Please see the step-by-step solution in the picture attached below.
Hope this answer can help you. Have a nice day!
Numbers made up of three digits are formed using the digits 1, 2, and 3
with no repeating digits.
a) List all possible outcomes.
b) Find the probability of randomly forming an even number.
c) Find the probability of randomly forming a prime number.
Answers
Answer:
List all of the outcomes first than do what you need to do
Step-by-step explanation:
dog went to the park and had fun
need help fast will give brainliest!!!
Answers
Answer: B
Step-by-step explanation:
One game costs $4.50
Answer:
it is B
Step-by-step explanation:
In triangle ABC, a=√2, b=1, and measure of angle a=90. Find the measure of angle B.
Answers
Answer:
In the triangle ABC, A is the right angle; the side "a", opposite to the angle A, is the hypotenuse and side "b" is the leg.
√ (√2)²-1² = √2-1= √1= 1
according to the Pythagorean theorem.
It means that you have the right angled triangle with congruent legs; thus the triangle is isosceles.
Hence, the angles at the base (at the hypotenuse) are congruent and each is equal to 180°-90°/2 = 45°
Answer. The measure of the angle B is 45°.
Step-by-step explanation:
The required value of the angle B is obtained as 45°.
What are trigonometric ratios?The trigonometric ratios are defined for a right angled triangle.
The example of these ratios are sin, cos, tan, cosec, sec and cot.
The trigonometric ratios are useful in determining the heights and distances of the large objects.
The given problem can be shown in the form of diagram as below,
The measure of given sides and angle of the triangle are as below,
∠A = 90°, a = BC = √2 and b = AC = 1.
Use the trigonometric ratio to obtain,
Sin∠B = BC/AC
⇒ Sin∠B = 1/√2
⇒ ∠B = 45°
Hence, the measure of angle B is given as 45°.
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Find the minimum value of the parabola y = x^2+ 2x + 3/2
Answers
Answer:
(-1, 0.5)
Step-by-step explanation:
desmos is an awesome tool to see what the graphs look like
(sorry if this isn't the answer you're looking for)
Answer:
(-1, 0.5)
Step-by-step explanation:
i hope this helpssssss
need help ASAP What is the distance between points A and B?
Enter your answer, rounded to the nearest
tenth, in the box.
___units
Answers
Answer:
12
Step-by-step explanation:
Answer:
5.3
Step-by-step explanation:
do the math
Round to the nearest ten to estimate 163+176
Answers
Answer:
340 ? maybe
Step-by-step explanation:
i rounded 163 down to 160 and i rounded 176 up to 180.
then, i added it up to be around 340, if that is the right answer. hope this helps:), sorry if it doesnt:(
Answer:
163+176=339 SO rounded the answer would be 340
Step-by-step explanation:
The set of ordered pairs represented by the graph below can be described as which of the following?
** the graph of an upside-down v-shaped curve that passes through the points (negative 6, 0), (0, 6), and (6, 0) **
a relation only
a function only
both a relation and a function
neither a relation nor a function
Answers
Because it is not a parabola
What is the volume of the prism below?
A. 85 units3
B. 75 units 3
C. 150 units
D. 154 units
Answers
First you find the area of the triangle:
(base x height)/2
(3 x 5)/2
15/2
7.5
Then you multiply by the length of the prism (10):
7.5 x 10 = 75
Answer:
B. 75 units3
Step-by-step explanation:
it is right