Answer:
x=3 and x=-1
Step-by-step explanation:
If f(x)=g(x), then 2x+3=x^2:
x^2-2x-3=0
(x-3)(x+1)=0
x=3 and x=-1
We can conclude that the statement:
There are values of x for which f(x) = g(x)" is true.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To determine which statement is true about the equation f(x) = g(x) given f(x) = 2x + 3 and g(x) = x²,
We can substitute the expressions for f(x) and g(x) into the equation and simplify:
f(x) = g(x)
2x + 3 = x^2
Now we have a quadratic equation.
We can rearrange it to standard form and solve for x using the quadratic formula:
x² - 2x - 3 = 0
a = 1, b = -2, c = -3
x = (-b ± √(b² - 4ac)) / 2a
x = (2 ± √(16)) / 2
x = (2 ± 4) / 2
x = -1 or x = 3
Therefore,
The equation f(x) = g(x) is true for some values of x, namely x = -1 and x = 3.
Thus,
Based on this, we can conclude that the statement "There are values of x for which f(x) = g(x)" is true.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ2
how do you solve this do i need to plpug in the formula
Answer:
B. -2, 2
Step-by-step explanation:
Apparently, we're to presume that f(x) is the line that is graphed. It has a y-intercept of +1 and a slope (rise/run) of 1/2. Its equation is ...
f(x) = 1/2x +1
If we want points of intersection, we want to solve the equation f(x) = g(x) for the values of x that make it so.
1/2x +1 = √(x +2)
Squaring both sides, we get ...
1/4x² +x + 1 = x +2
1/4x² = 1 . . . . . . . . . . . . subtract x+1 from both sides
x² -4 = 0 . . . . . . . . . . multiply by 4, subtract 4
(x -2)(x +2) = 0 . . . . factor the difference of squares
x = -2, 2 . . . . . . . . . values of x that make the factors zero
The solutions to f(x) = g(x) are x = -2 and x = 2.
_____
Additional comment
The attached graph shows the x- and y-values at the points of intersection. The solutions to f(x) = g(x) are only the x-values, -2 and 2.
The square of (ax +b) is ...
(ax +b)² = a²x² +2abx +b²
The point-slope equation of a line is ...
y = mx + b . . . . . line with slope m and y-intercept b
/[tex]\frac{x-9}{15} =\frac{2x-9}{10\\}[/tex]
Step-by-step explanation:
[tex] \frac{x - 9}{15} = \frac{2x - 9}{10} \\ [/tex]
[tex] \frac{x - 9}{3} = \frac{2x - 9}{2} \\ [/tex]
[tex]2( x - 9) = 3(2x - 9) \\ [/tex]
[tex]2x - 18 = 6x - 27[/tex]
[tex]27 - 18 = 6x - 2x[/tex]
[tex]9 = 4x[/tex]
[tex]x = \frac{9}{4} \\ [/tex]
I need the answers and explanation to a b c and d
Answer:
B I THINK
Step-by-step explanation:
Help, this question is confusing me
Answer: They are all equations except c, which is a formula.
Step-by-step explanation:
what is the sqare root of 12
Answer:
3.46 but if you simplify it is 3.5
Step-by-step explanation:
Answer:
3.46410161514
Step-by-step explanation:
Need help l don’t understand due soon
Answer:
x = 9
Step-by-step explanation:
44 = 2(3x-5)
2(3x-5) expanded is 6x -10
44= 6x -10
+10 to both sides
=
54 =6x
54 divide by 6 = 9
x = 9
please mark as brainlesit is correct.
Answer:
First solve the paranthesis, 2*3x and 2*5, from here we will get the new equation, 44= 6x-10, now you can change sides of the known values to simplfy the question, 44+10=6x -> 54=6x, now divide each side by 6 to find x, 9=x
Step-by-step explanation:
ben drives 1/4 mile in 2/3 hours. what is the rate at which he drives
Answer:
3/8 or 0.375mph.
Step-by-step explanation:
All you have to do for this is divide one fourth by two thirds. This way, you get the units to work out as well.
[tex]\frac{1}{4}/\frac{2}{3}=\frac{1}{4}*\frac{3}{2}=\frac{3}8=0.375mph[/tex]
The price of a notebook in 2012 is $2000. In 2013, its value decreased by 30%. In 2014, its value decreased by 30% of its value in 2013. Find the value of the notebook at the end of 2013
Answer:
The value of the notebook at the end of 2013 is $980
Step-by-step explanation:
First, find 30% of 2,000. To do so you need to convert 30% into a decimal by dividing it by 100.
30% ⇒ 0.30
Now multiply 0.30 by 2,000 to find 30% of 2,000.
2,000 × 0.30 = 600
Subtract 600 from 2,000 to find the price of the notebook in 2013.
2,000 - 600 = 1,400
Now find 30% of 1,400 using the same process.
1,400 × 0.30 = 420
Subtract 420 from 1,400 to find the price of the notebook in 2014.
1,400 - 420 = 980
Find all missing angles.
Answer:
1= 41
2=85
3= 95
4=85
5= 36
6= 49
7= 188
Step-by-step explanation:
I think that's the answer
41/30 as a mixed number
Answer:
1 11/30
Step-by-step explanation:
43 minus 30 equals 11, a prime number; can't simplify
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the area of the triangle shown.
square units
Reset
Next
Plz help
Step-by-step explanation:
the area of a triangle is baseline × height / 2.
now, we need to count the units : how long is the baseline, he long is the height from the baseline to the top vertex ?
I find the baseline is 14 units long.
the height is 7 units.
so, the area is
14×7/2 = 7×7 = 49 square units.
Find the range of the function F(x) = the integral from 0 to x of the square root of 4-t^2 dt
Note that √(4 - t²) is defined only as long as 4 - t² ≥ 0, or -2 ≤ t ≤ 2. Then the real integral exists only if -2 ≤ x ≤ 2. (Otherwise we deal with complex numbers.)
If x = 2, then the integral corresponds to the area of a quarter-circle with radius 2. This means that the integral has a maximum value of 1/4 • π • 2² = π.
On the opposite end, if x = -2, then the integral has the same value, but the integral from 0 to -2 is equal to the negative integral from -2 to 0. So the minimum value is -π.
For all x in between, we observe that the integrand is continuous over the rest of its domain, so F(x) is continuous.
Then the range of F(x) is the interval [-π, π].
Please help only if you know. And please don't get this taken down or deleted- this question is very important and confuses me.
What interval would be appropriate to graph the data? what does the question mean???
Answer: This question is not right
Step-by-step explanation:
What you have asked is how much should the numbers go up on a graph so it all fits on the graph and can be understood.
1st we need to know what data if your numbers were 5 15 20 25 25 20 15 an appropriate interval would be by 5's however if your data was 100 500 1100 800
There would be no way you could fit it on a graph if you went up by five. A better interval would be 100's
Based on my response I hope you can see that in order to find appropriate interval to graph the data we need the data and that you now see what to do or can update the question
3. What is the slope of the line that passes through the points E(-1,4)
and F(2, 6)?
A.
3
2
C.
2
D.
NICO
B. -
al
NICO
3.
I need this solved as c.l.t
6=n-2n
Answer:
n= -6
Step-by-step explanation:
PLEASE HELP ASAP I NEED ANSWER IN LESS THAN 9 HOURS
Answer:
I dont really know if this is right, but for 5, y=5. I don't know what 6 is. Sorry.
List all the angle measures from least to greatest.
From the three triangles
Answer:
40°, 43°, 60°
Step-by-step explanation:
In each triangle, you are given the measures of two angles. Subtract those two measures from 180° to find the measure of the third angle.
Triangle A:
c = 180° - 90° - 50°
c = 40°
Triangle B:
c = 180° - 112° - 25°
c = 43°
Triangle C:
c = 180° - 70° - 50°
c = 60°
HELPP!! Can someone tell me what this expanded form is as a decimal??
(1 x 100) + (9 x 10) + (6 x 1) + (8x1/10) + (8 x 1/100)
You need to buy new soil for your garden. Find the area of the garden. Use the dimensions shown in the picture.
A triangle with side lengths 16.75 meters, 11.5 meters, and 19 meters. The height of the triangle is 10 meters.
CLEAR CHECK
95 square meters
190 square meters
47.25 square meters
57.25 square meters
Answer:
95 square meters
Step-by-step explanation:
I am answering this question assuming 19 is the base because it is the longest side on the triangle. (there is no picture provided)
The formula for area of triangle is base * height * 1/2
So 19 * 10 *1/2 is 95.
The perimeter of a rectangular field is 292 yards. If the width of the field is 55 yards, what is its length?
nyards
Answer:
91
Step-by-step explanation:
We can let the length of the field be l. Then, 2l + 2(55)=292. 2(55)=110, so 2l+110=292, and 2l = 182, so l = 91.
Choose the statement that is true. WILL MARK BRAINLIEST
A.) For a normal distribution, 68% of the distribution is within 3 standard deviations.
B.) For a normal distribution, 95% of the distribution is within 3 standard deviations.
C.) For a normal distribution, 99.7% of the distribution is within 3 standard deviations.
D.) For a normal distribution, 100% of the distribution is within 3 standard deviations.
Answer:
option A is correct
hope it helps :)
Step-by-step explanation:
The Standard Deviation Rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean. It states that
68% of data falls within the first standard deviation from the mean.
95% fall within two standard deviations.
99.7% fall within three standard deviations.
Therefore, looking at the options, the true statement id
A) For a normal distribution, 99.7% of the distribution is within 3 standard deviations.
a class is 20% boys and 80% girls of the boys 30% wear glasses of the girls 40% wear glasses what percent of the class wears glasses??????
Answer:
38%
Step-by-step explanation:
20%-30%, 100%-30%, 20%-6%
80%-40%, 100%-40%, 5%-2%, 80%-32%
32+6=38%
I need to solve for G in the following equation
It would be too much to write so here is a photo instead :D
Answer:
C) Justine left her grandmother's house and walked 3 blocks directly south. Then she walked 3 blocks directly north. At this point, how many blocks was Justine from her grandmother's house?
Explanation:
C is the only answer choice where you are starting at 0. Justine goes down 3 blocks and comes back up 3 blocks getting her back to 0.
Answer choice A goes from -10 to 10.
Answer choice B goes from -16 to 16.
Answer choice D goes from 10 to -10.
Plzzzzz helpnmeeee plzzzz
hello, please answer
if
[tex] \frac{a}{b} = \frac{c}{d} = \frac{2}{5} [/tex]
then what is the answer of
[tex] \frac{a + 3c + 4}{b + 3d + 10} [/tex]
Step-by-step explanation:
Given,
a/b = c/d = 2/5
=> a + 3c + 4/b + 3d + 10
=> (a/b) + (3c/3d) + (4/10)
=> 2/5 + 3(c/d) + 4/10
=> 2/5 + 3(2/5) + 4/10
=> 2/5 + 6/5 + 2/5
=> 2 + 6 + 2/5
=> 10/5
=> 2
I dont get it, pls help me
Answer:
B
Step-by-step explanation:
Each tick = + or - 2 depending on which quadrant and axis
So the first line (the slanted one) intersects the y axis at (0,5) and continues until (2,5)
Then the line becomes straight (the y remains constant) from (2,5) (the points x value is 2) to (2,10) (the points x value is now 10)
Árbol Factorial de 48
Answer:
Los factores de 48 son 1, 2, 3, 4, 6, 8, 12, 16, 24 y 48.
What are the amounts of interest and maturity value of a loan for ₱180,000 at 5 % *
1 point
A. Is = ₱18,000 ; F= ₱198,000
B. Is = ₱27,000 ; F= ₱207,000
C. Is = ₱36,000 ; F= ₱216,000
D. Is = ₱45,000 ; F= ₱227,000
Answer:
CHOPE IT HELPS YOU BRAINLIEST
what is the percent increase from 1 to 6
Answer: 20%
Step-by-step explanation:
1 5
100 x
100*5/1 = 20%