Consider the equation below.
(I - 2)² – 6 = 8 + 4
Which statement explains why the solution to the equation is r = 4?
A
6 and
gir) =
T + 4.
B.
-
6 and
The x-va
lue of 4 is defined on the graphs of both flom) = (x - 2)
The x-value of 4 is a x-intercept for both f(x) = (1 – 2)8
gir) =
3 + 4
OC. The x-value of 4 is undefined for both f(x)
(x - 2)
g(3)
D. The x-value of 4 produces the same y-value in both f(x)
(x - 2) 6 and
gir)
-
6 and
(x + 4.
or + 4.
Answers
Answer:
answer is B
Step-by-step explanation:
The solution to the equation is 4 or x = 4 because the x-value of 4 produces the same y-value in both f(x) = (x - 2)³ – 6 and g(x) = ∛(x + 4) option (D) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have an equation in terms of x:
(x - 2)³ – 6 = ∛(x + 4)
To find the value of x we can solve it by trial and error method:
Plug x = 4 in the equation:
(4 - 2)³ – 6 = ∛(4 + 4)
(2)³ – 6 = ∛(8)
8 - 6 = 2
2 = 2 (true)
The solution to the equation is x = 4
Thus, the solution to the equation is 4 or x = 4 because the x-value of 4 produces the same y-value in both f(x) = (x - 2)³ – 6 and g(x) = ∛(x + 4) option (D) is correct.
Learn more about the function here:
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Related Questions
An airplane can travel 380mph in still air. If it travels 3120 miles with the wind in the same length of time it travels 2960 miles against the wind, what is the speed of the wind?
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Answer:
43
Step-by-step explanation:
Kendra is trying to prove that the sum of any two rational numbers is a rational number. Her first steps are shown. Which is the best method Kendra could use to continue
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Answer:
bottom left
Step-by-step explanation:
did more rain on Sunday 1/4or Tuesday 1/8
Answers
Answer:
On sunday
Step-by-step explanation:
1/4 = 0.25
1/8 = 0.125
0.25 > 0.125
On Sunday
Answer:
it rained more on tuesday 1/8
sorry if the answer is wrong
For the function f(x) = 3x + 2, find x such that f(x) = 14.
Answers
Answer:
x = 4
Step-by-step explanation:
To find x, plug in 14 into the function
f(x) = 3x + 2
14 = 3x + 2
Solve for x
14 = 3x + 2
12 = 3x
4 = x
So, the answer is x = 4
Taft Middle School is painting a circle on their playground with a radius of 9 feet. What will be the total
area of the circle, in square feet?
Use T = 3.14, and round your answer to the nearest hundredth.
Answers
Answer:
Area of a circle = PI * radius^2
Area = 3.14 * 9^2
Area = 3.14 * 81
Area = 254.34 square feet
Step-by-step explanation:
Can you help me thanks!
Answers
A. Given the sequence, formulate a rule for the given sequence
1) {0.3.6.9....)
2) (3,6.12.24...)
3) (11.9.7.5....)
Answers
Answer:
1
Step-by-step explanation:
bc I know
The drawing below shows a side view of a picture frame on Mary's desk support 16 4.2 which of the following is the closest to the length of the frame support
Answers
Answer:
17 cm
Step-by-step explanation:
Math STAAR Readiness 8 grade Quiz: The drawing below shows a side view of a picture frame on Mary’s desk. Closest to the length of the frame support.
Answer:
17 or D
Step-by-step explanation:
a^2+b^2=c^2
4.2^2+16^2=c^2
17.64+25.6=c^2
c^2=273.64
c=√273.64
c=16.5 which can be rounded up to 17 or D
and I am reviewing for the math staar.
Which graph best represents the equation y = 3x - 2?
Answers
Answer:
This is a linear equation, the graph of a line. This function is in slope intercept form, y=mx+b . In this example the slope is =riserun=3=31 and the y -intercept is −2
Explain to me and give me the answers
Answers
f(x) = x^2 is compressed vertically by a factor of 2 and shifted 2 units to the left.
equation = ???
Answers
1/2 compresses while the +2 INSIDE the parenthesis shifts the parental function (f(x)=x^2) to the left two units.
You fill a 100 mL graduated cylinder with 38.5 mL of water. What is the volume?
(pls help this assignment is due today)
Answers
Answer:
38.5cm³
Step-by-step explanation:
1ml = 1cm³
38.5ml = 38.5cm³
The red figure is congruent to the blue figure. Choose two different sequences of transformations in which the blue figure is the image of the red figure.
1. Rotate 90° counterclockwise about the origin and then translate 5 units left.
2. Reflect across the y-axis and then rotate clockwise 180° about the origin.
3. Rotate 180° about the origin.
4. Rotate 90° clockwise about the origin and then translate 1 unit right and 5 units up.
Answers
Answer:
1 and 4Step-by-step explanation:
1. Rotate 90° counterclockwise about the origin and then translate 5 units left.
Correct2. Reflect across the y-axis and then rotate clockwise 180° about the origin.
Incorrect, this ends up in the first quadrant, additional translation is required3. Rotate 180° about the origin.
Incorrect, additional translation is required followed by rotation.4. Rotate 90° clockwise about the origin and then translate 1 unit right and 5 units up.
CorrectPlease help ! Please help!
Answers
Answer:
113 degrees
its really hard to explain it on this app
Which number line shows the solution to n>3?
Answers
Answer:
third one down
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Open ended circle because there is not a line under the > and n > 3 means n is greater than 3.
find the equation of a line that is perpendicular to line g that contains (P,Q) will give brainlest to whoever answers
Answers
Answer:
Consider points (-3,6) and (0,5)
[tex]gradient \: \: m = \frac{(6 - 5)}{( - 3 - 0)} \\ m = - \frac{1}{3} \\ for \: perpendicular \: gradient \: m {}^{.} \\ m {}^{.} \times m = - 1 \\ - \frac{1}{3} m {}^{.} = - 1 \\ m {}^{.} = 3 \\ from \: y = mx + c \\ at \:(0,5) \: \: 5 = 0 \times 3 + c \\ c = 5 \\ hence \: equation \: is \: \: y = 3x + 5 [/tex]
Step-by-step explanation:
This is your answer. Thanks.
Show steps for credit
Solve each equation
1.X+9=12
2.s- 1=10
3.3=z-11
Answers
2. Add 1 to both sides to get S =11
3. Add 11 to both sides to get Z=14
Answer: 1.) x+9=12
Sol ?
or, x=12-9
or, x=3
2.) s-1=10
Sol ?
or, s = 10+1
or, s=11
3.) 3 = z-11
Sol ?
or, 3+11 = z
or, 14 = z
Step-by-step explanation:
There are 21 bags of pears on a market stall.
The mean number of pears in each bag is 8. The table shows the number of pears in 20 of the bags.
Calculate the number of pears in the 21st bag.
Numbers of
pears:
Frequency:
6 2
7 6
8 9
9 1
10 2
Answers
Answer:
13 pears in the 21st bag
Step-by-step explanation:
mean = total number of pears/total number of bags
8 = x/21
x = 168
number of pears in 20 bags = (6 x 2) + (7 x 6) + (8 x 9) + (9 x 1) + (10 x 2)
= 155
number of pears in the 21st bag = 168 - 155
= 13
Can someone help me daughter I just wanna see who helps her
Answers
Answer:
Yes.
Step-by-step explanation:
The total amount needed is the amount per teacher x the volume of the water bottles.
16 x 9 = 144
since one gallon is 128 ounces,
144/128 = 1.125 = 1 1/8
Since 1 1/8 is less than 1 1/2, there is enough water.
write an ordered pair corresponding to the point
Answers
Answer: (3,-3)
Step-by-step explanation:
Select the pair of numbers that has a difference of 3
Answers
In general a subtraction problem that has 3 as a result
LXtra Practice
Set A (pp. 22-23)
Write each number in standard form.
1.
2.
3. 500 + 60 + 6
BB
Answers
Answer:
566
Step-by-step explanation:
We need to write the following number in standard form.
500 + 60 + 6
Here, the first no is 500, the second number is 60 and the other number is 6.
It can be done as follows :
500 + 60 = 560
And
560 + 6 = 566
So, the standard form is 566 inc which 6 is at one's place, another 6 at tens place and 5 at hundred places.
A toy car goes 120 meters in 1 minute. At this
rate, how many seconds will it take the car to go
360 meters?
Answers
Answer:
180 seconds
Step-by-step explanation:
1 minute = 60 seconds
120 * 3 = 360
60 * 3 = 180
The number of microscopic organisms in a petri dish grows exponentially with time. The function P below models the number of organisms after growing t days in the petri dish. Based on the function, which of the following statements is true?
P(t) = 60(3)^t/2
A. the predicted number of organisms in the dish triples every two days
B. The predicted number of organisms in the dish doubles every three days
C. The predicted number of organisms in the dish triples every day
D. The predicted number of organisms in the dish doubles every day
Answers
Answer:
A
Step-by-step explanation:
Given
P(t) = 60 [tex](3)^{\frac{t}{2} }[/tex]
Then
P(1) = 60 × [tex]3^{\frac{1}{2} }[/tex] = 60[tex]\sqrt{3}[/tex]
P(2) = 60 × 3 = 180
P(3) = 60 × [tex]3^{\frac{3}{2} }[/tex] = 60 ×[tex]\sqrt{3^{3} }[/tex] = 60 × 3[tex]\sqrt{3}[/tex] = 180[tex]\sqrt{3}[/tex]
P(4) = 60 × 3² = 60 × 9 = 540
P(5) = 60 × [tex]3^{\frac{5}{2} }[/tex] = 60 × [tex]\sqrt{3^{5} }[/tex] = 60 × 9[tex]\sqrt{3}[/tex] = 540[tex]\sqrt{3}[/tex]
P(6) = 60 × 3³ = 60 × 27 = 1620
From these 6 results we see that
P(3) = 3 × P(1)
P(4) = 3 × P(2)
P(5) = 3 × P(3)
P(6) = 3 × P(4)
The predicted number of organisms triples every 2 days → A
A contest is being held at a school fair for seventh-grade
and eighth-grade students.
• There are 40 seventh-grade students at the fair.
• There are 30 eighth-grade students at the fair.
Each student's name was written on one card and placed
into a box. The principal will reach into the box and pick
one card without looking. The student named on the card
will be the winner of the contest. What is the probability
that the winner of the contest will be an eighth-grade
student?
a. 1/2
b.3/4
c. 3/7
d. 1/30
Answers
Answer:
3/7
Step-by-step explanation:
ofc theres 70 students all together, the 3 represents 30 eighth-graders and the 7 is the 70 students all together, 3+4=7 blah blah blah :)
What is 5,421 rounded to the nearest hundred?
A.4,000
B.5,000
C.5,4000
D.5,200
Answers
Answer:
5,000
Step-by-step explanation:
it cant be 400 because the 4 in 5,421 is going to turn into a zero and everything behind that zero is a 0 as well and the thousand place is before the 0 so it stays the same
The students put recycling bins in the teachers lounge at school at the end of the week there was a total of 48.9 pounds of cans and bottles they split them evenly into three bags how many pounds did each bag weigh
Answers
Answer:
16.3 pounds
Step-by-step explanation:
Find 8 1/3% of 72.
Answers
Answer:
6
Step-by-step explanation:
8⅓% of 72
Change 8⅓% to an improper fraction, to get.
25/3% × 72
= (25/3)÷(100)×72
= (25/3)×(1/100)× 72
= (25/300) × 72
= 1800/300
= 6
The value of [tex]8\frac{1}{3}[/tex]% of 72 is 600.
Given that, [tex]8\frac{1}{3}[/tex]% of 72.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Now, [tex]8\frac{1}{3}[/tex]% of 72
25/3 × 72
= 25 × 24
= 600
Therefore, the value of [tex]8\frac{1}{3}[/tex]% of 72 is 600.
To learn more about the percentage visit:
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Find the bearing of the ship. Round to the nearest tenth of a degree if necessary.
Answers
9514 1404 393
Answer:
205°
Step-by-step explanation:
The bearing is measured clockwise from north (up), so is ...
90° +(360° -245°) = 205° . . . bearing measured CW from north
__
This might also be reported as S25°W.
You are constructing a concrete landing pad for a helicopter. You have 4704 cubic feet of concrete
If the landing pad is a square that is 56 feet on each side, how thick will the pad be
The pad will be feet thick
If you want to use the concrete to build a circular landing pad with the same thickness as the square landing pad, what would the diameter of that landing pad be?
The diameter will be feet
(Use 3.14 for pi Round the answer to the nearest hundredth)
Answers
Answer:
Round it to the nearest hundredth
Step-by-step explanation: