I need help with this question none of the answers are able to help me understand
Answers
Solution.
Given :
\(\begin{gathered} f(x)=-(x+2)(x-2) \\ g(x)=2|x+2| \end{gathered}\)We want to find the solution of f(x) = g(x) using graphical method.
To acheive this, we need to plot the graph of f(x) and g(x) on the same graph.
The graph of f(x) is a quadratic graph, facing downward
f(x) and g(x) will intersect at two points. The values of x where the two graphs intersect is the solution to f(x) = g(x)
The graph of f(x) and g(x) is shown below
From the graph shown above, we can see that the graphs of f(x) and g(x) intersect at (-2, 0) and (0,4).
That is when x = -2 and when x = 0.
Therefore, the solutions to f(x) = g(x) are
x = -2,
And
x = 0
The first two options are to be checked.
Related Questions
Help! Will give brainliest.
Answers
Answer:
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FREEEEEEEE POINTS
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Step-by-step explanation:
Answer:
It would be C (I think)
The lines are parallel
Step-by-step explanation:
Help I need the answer
Fast
Answers
Answer: 4
Step-by-step explanation: because he needs to divided by 2
help please it's due tomorrow
Answers
\( \{ \: \alpha \: , \: \beta , \: a, \: b \}\)
\( \sf \longrightarrow \: No. \: of \: \: subsets = {2}^{n} \)
where, n denotes to number of elements in set .
Since, given set contains 4 elements .
Thus , 2⁴ {2 raise to power 4} .
\( \sf \longrightarrow \: No. \: of \: \: subsets = {2}^{4} \)
\( \sf \longrightarrow \: No. \: of \: \: subsets = 2 \times 2 \times 2 \times 2\)
\( \sf \longrightarrow \: No. \: of \: \: subsets = 4 \times 4\)
\( \sf \longrightarrow \: No. \: of \: \: subsets = 16\)
Therefore, Required subsets are 16.
They are , Namely;
\( \sf \longrightarrow \: subsets \: = \phi \: \{ \alpha \} \{ \beta \} \{ a\} \{ b\} \: \{ \alpha \beta \} \{ \alpha a\} \{ \alpha b\} \{ \beta a\} \{ \beta b\} \: .....\)
_____________________________
Additional Information:-If n is the number of elements in the set then,
No. of subsets possible for this subset is 2^n that's the (2 raise to the power n).
Let's take another example, {1,2}
Here, n = 2
subsets =2^2 =4
Subsets = ϕ, {1}, {2},{1,2}
Note :- every set is a subset of itself i.e. {1,2} and ϕ is a subset of every set
Someone tell me if I’m right
Answers
Answer:
Yes you are correct
Step-by-step explanation:
HELPP!!
Ryan collects rainwater in a barrel for his garden. The barrel is filled with 15 gallons of water. Ryan used 6.8 gallons to water his garden in June and 5 and one-eighth gallons in July. How much water is left in the barrel?
1.) 3.075 gallons
2.) 5.125 gallons
3.) 5.178 gallons
4.) 16.675 gallons
Answers
Subtracting the initial amount of water from the amount used, the remaining amount of water is given by:
1.) 3.075 gallons.
How to find the remaining amount of water in the barrel?
To find the remaining amount of water in the barrel, we have to subtract the initial amount by the amount used.
We have that:
The initial amount was of 15 gallons.The amount used was of: 6.8 + 5 + 1/8(relative to the one-eight) = 11.925 gallons.Hence the remaining amount is:
15 - 11.925 = 3.075 gallons.
Which means that option 1 is correct.
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Answer: 3.075 gallons
Step-by-step explanation:
Simplify the expression below using the distributive property:
6(32)
Answers
Answer: 192
Step-by-step explanation:
192
Answer:
6(32)
6x32
192
explanation:
PlEASE NEED HELP FAST!!!!
Answers
The key features of this quadratic relation y = -3x² - 24x - 36 include;
y-intercept = (0, -36)x-intercept: (-6, 0) and (-2, 0).The equation of the axis of symmetry is x = -4.The vertex is (-4, 12).This quadratic relation has a maximum value of 12.What is the graph of a quadratic function?In Mathematics and Geometry, the graph of a quadratic function would always form a parabolic curve because it is a u-shaped.
Since the leading coefficient (value of a) in the given quadratic function y = -3x² - 24x - 36 is negative 16, we can logically deduce that the parabola would open downward and the x-intercept (roots) is given by the ordered pair (-6, 0) and (-2, 0).
When x = 0, the y-intercept can be determined as follows;
y = -3x² - 24x - 36
y = -3(0)² - 24(0) - 36
y = -36
Axis of symmetry, Xmax = -b/2a
Axis of symmetry, Xmax = -(-24)/2(-3)
Axis of symmetry, Xmax = -4
For the vertex, we have:
y(-4) = -3x² - 24x - 36
y(-4) = -3(-4)² - 24(-4) - 36
y(-4) = 12
In conclusion, the quadratic function has a maximum value at 12.
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What is the perimeter of triangle “QTS”
Answers
Answer: 15 + x, or x + 15
Step-by-step explanation:
The perimeter of triangle QTS is represented as line segments QT + TS + QS. This means:
6 + 6 + ((3x - 1) + (4 - 2x))
You can first simplify 6 + 6, 6 + 6 = 12
12 + ((3x - 1) + (4 - 2x))
Next, focus on ((3x - 1) + (4 - 2x))
3x + (-1) + 4 + (-2x), addition is commutative, so use addition
3x + (-2x) + 4 + (-1)
(3x - 2x) + (4 - 1)
x + (4 - 1)
x + 3
The equation is now:
12 + x + 3
You can simplify this more by adding 12 + 3
15 + x
The answer is 15 + x or x + 15 because that is as simplified as the equation can be.
I hope this helps!
For the samples summarized below, test the hypothesis, at a = 0.05, that the two variances are different.
Sample Std. Deviation Sample size
| Sample Sample2
4.1
2.7
19
O Do not reject the hypothesis because the test value 5.32 is greater than the critical value 2.88.
O Do not reject the hypothesis because the test value 2.31 is less than the critical value 2.42.
Reject the hypothesis because the test value 5.32 is greater than the critical value 2.51.
O Reject the hypothesis because the test value 2.31 is less than the critical value 3.01.
Answers
The summarized sample is do not reject the hypothesis because the test value 2.31 is less than the critical value 3.01, the correct option is D.
We are given that;
a = 0.05
s1^2 = 4.1 and s2^2 = 2.7,
Now,
The degrees of freedom for the F-test are df1 = n1 - 1 and df2 = n2 - 1, where n1 and n2 are the sample sizes of sample 1 and sample 2, respectively. In this case, df1 = 19 - 1 = 18 and df2 = 8 - 1 = 7. We can use an F-table or a calculator to find the critical value for the F-test at α = 0.05 and these degrees of freedom. The critical value is F0.05(18,7) = 3.55.
We compare the test statistic to the critical value to make a decision about the hypothesis. If F > F0.05(18,7), we reject the null hypothesis and conclude that the variances are different. If F ≤ F0.05(18,7), we fail to reject the null hypothesis and conclude that there is not enough evidence to say that the variances are different.
F = 1.52 < F0.05(18,7) = 3.55, so we fail to reject the null hypothesis and conclude that there is not enough evidence to say that the variances are different at α = 0.05.
Therefore, by the sample the answer will be do not reject the hypothesis because the test value 2.31 is less than the critical value 3.01.
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There are 200 kids in the 7th grade at smith middle school. If 25% of them purchase a school t-shirt that costs $20, how much money did the 7th grade spend on t-shirts?
Answers
Answer:
$1,000.
Step-by-step explanation:
200 kids divided by 25% or 4 = 50 then 50 x 20 = 1,000.
The weights of five different dogs are shown below. What are the minimum and maximum weights? Give your answers in kilograms (kg) Clifford 25kg
Amber 34kg
Beryl 47kg
Poppy 23kg
Toby 31kg
(please I need help right now)
Answers
Answer:
Minimum weight = 23kg
Maximum weight= 34kg
Step-by-step explanation:
Find the lowest and highest weight
Answer:
See below ↓↓
Step-by-step explanation:
Minimum weight = lowest numerical value of weight⇒ Poppy (23 kg)Maximum weight = highest numerical value of weight⇒ Beryl (47 kg)
3/4 fraction plus 7/12 fraction - (-4)
I WILL GIVE U 40 POINTS
Answers
answer:
\(\frac{-23}{6}\) or -3.8333 (repeating)
What is the solution to this equation?
X + 8 = -3
O A. x= -5
O B. X = 11
O C. X = 5
O D. x=-11
Answers
Answer:
\(x + 8 = - 3 \\ x = - 3 - 8 \\ x = - 11 \\ (d) \\ thank \: you\)
The amount you pay for a car is not usually the "sticker price," which may be the starting price. The price of a car was reduced by $300 from the sticker price, increased by $900 for additional features, and then reduced by $600 by the dealer. What integer represents the total change in price with respect to the sticker price? Use a number line to represent the change from the sticker price.
Answers
There will be no change in the price of the car.
What is a number line?A number line is a representation of a graduated straight line used to abstract real numbers in elementary mathematics. Its points are considered to correspond to real numbers and vice versa.
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Let the sticker price = x, Price reduced by $300
Hence the new price is,
N= x-$300
The cost of additional features = $900
Hence the new price for selling will be.
=x-$300+$900
=x+$600
Dealer also provides a discount of $600
Hence Final selling price will be
=x+$600-$600
Hence there seems to be no change in the sticker price as the sticker price and the final selling price are the same.
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\(e + \frac{1}{8} = \frac{5}{8\\}\)
Answers
(iv) 123456
3. Find the sum of the place values of 5 in the following numbers:
(0) 3515
(II) 52105
(III) 61655
(iv) 52545
(v) 50005
(VI) 525250
(vil) 55348
(vill) 52756
Answers
Answer:
it should be 45,870
Step-by-step explanation:
A meal has 310 calories in 5 servings. Find the calories per serving.
Answers
Answer:
62
Step-by-step explanation:
Answer:
The meal has 62 calories per serving.
Step-by-step explanation:
310/5=62
ASAPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!
Answers
4. What is the slope of the line represented by the equation 2x + 4y = 12 ?
a. 2
B.
C. -2
d. -1/2
PLEASE HELP
Answers
Answer:
I think it is ether c are a
y
=
m
x
+
b
y
=
m
x
+
b
to find the slope
m
m
.
m
=
−
1
2
A Christmas tree is supported by a wire that is 2 meters longer than the height of the tree. The wire is anchored at a point whose distance from the base of the tree is 23 meters shorter than the height of the tree. What is the height of the tree?
Answers
Answer:
The height of the tree is 35 meters.
Step-by-step explanation:
Let the height of the tree be x meters, then the length of the wire is
x+2 meters.
The distance from the tree to the anchor is x-23 meters.
So using the pythagoras theorem:
(x + 2)^2 = x^2 +(x -23) ^2
x^2 + 4x + 4 = x^2 + x^2 - 46x + 529
x^2 - 50x + 525 = 0
( x - 15)(x - 35) = 0
x = 15, 35
x cannot be 15 as this would make the distance 15-23 which is negative so x mustr be 35 meters,
4x(x + 1) − (3x − 8)(x + 4)
Answers
The simplified form of the expression 4x(x + 1) − (3x − 8)(x + 4) is -3x^2 - 4x - 32.
To simplify the expression 4x(x + 1) − (3x − 8)(x + 4), we can expand the parentheses and combine like terms.
Expanding the first term, we get 4x^2 + 4x.
Expanding the second term, we have -(3x)(x) - (3x)(4) - (-8)(x) - (-8)(4), which simplifies to -3x^2 - 12x - (-8x) - (-32), further simplifying to -3x^2 - 12x + 8x - 32.
Combining like terms, we obtain -3x^2 - 4x - 32.
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Two turtles, Velma and Justine, were entered into a race.
The equation y = 4x represents Velma's distance in meters, y, after racing for x minutes. The graph below displays Justine's distance and time.
Based on the equation and graph, which two statements below are true?
A.Justine is twice as fast as Velma.
B. Justine is half as fast as Velma.
C. Justine and Velma have the same speed.
D. Justine moves a greater distance than Velma each minute.
E. Justine moves a shorter distance than Velma each minute.
Answers
Answer:
B and E
Step-by-step explanation:
the graph (Justine) shows the line
y = 2x
the line for Velma is
y = 4x
now we need to remember that the slope (inclination) of a line is the factor of x (so, 2 and 4 in the two line equations).
a slope is expressed as y/x and indicates how many units y changes when x changes a certain amount of units (like 1).
as described (and also confirmed by the graph) the x units are minutes, and the y units are meters.
so, as per her slope, Velma moves 4 meters in 1 minute.
and Justine moves 2 meters in 1 meter.
so, Justine is half as fast as Velma.
and therefore, Justine moves a shorter distance than Velma each minute.
Answer:
Step-by-step explanation:
B and E
When h=4 , j=5 , and k=−1 , the expression jkh+hj−jk equals?
Answers
When h = 4, j = 5, and k = -1, the expression jkh + hj - jk equals 5.
To solve the expression we have to substitute the value of each variable in the expression. Then simplify the expression according to mathematic rule. After solving we get the solution of the expression.
An expression is a combination of numbers, variables, and/or operations that can be evaluated or simplified to obtain a numerical or algebraic result.
The given expression is:
jkh + hj - jk
Substituting the given values of h, j, and k, we get:
jkh + hj - jk = (5 x (-1) x 4) + (5 x 4) - (5 x (-1))
Now simplify the expression
jkh + hj - jk = (-20) + 20 + 5
jkh + hj - jk = 5
Therefore, the value of jkh + hj - jk equals 5.
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Find the domain and range of the function graphed below. Domain: Range:
Answers
Answer:
Domain: -1 ≤ x < 2
Range: 0 < y ≤ 4
Answer:
Domain: [-1, 2)
Range: (0, 4]
Step-by-step explanation:
DomainThe domain of a function is the set of all possible input values (x-values).
From observation of the graph, the x-values of the endpoints of the continuous curve are x = -1 and x = 2.
As there is a closed circle at endpoint (-1, 3), this indicates that x = -1 is included in the interval of the domain.
As there is an open circle at endpoint (2, 0), this indicates that x = 2 is not included in the interval of the domain.
When writing interval notation:
( or ) : Use parentheses to indicate that the value is excluded.[ or ] : Use square brackets to indicate that the value is included.Therefore, the domain of the graphed function is:
[-1, 2)\(\hrulefill\)
RangeThe range of a function is the set of all possible output values (y-values).
From observation of the graph, the highest y-value of the curve is y = 4 and the lowest is y = 0.
As there is an open circle at (2, 0), this indicates that y = 0 is not included in the interval of the range.
When writing interval notation:
( or ) : Use parentheses to indicate that the value is excluded.[ or ] : Use square brackets to indicate that the value is included.Therefore, the range of the graphed function is:
(0, 4]RSTU and VXYZ are quadrilaterals. Given RSTU ~ VXYZ , describe a sequence of rigid motions followed by a dilation with center (0,0) that maps RSTU to VXYZ
Answers
Quadrilateral RSTU was rotated, translated and dilated to form quadrilateral VXYZ.
TransformationTransformation is the movement of a point from its initial location to new location. Types of transformation are rotation, reflection, translation and dilation.
Dilation is the increase or decrease in the size of a figure to create an image.
Quadrilateral RSTU was rotated, translated and dilated to form quadrilateral VXYZ.
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Which inequality represents all the values of x for 46 < -6( x − 18) ?
Answers
Answer:
69
Step-by-step explanation:
because it is jjujujujujuj
3 9/13 to a improper fraction
Answers
Answer:
48/13
Step-by-step explanation:
To make this into an improper fraction, convert the integer into a fraction using the denominator of the fraction
3 * 13/13 = 39/13
Then add it to the rest of the fraction
39/13 + 9/13
= 48/13
Answer: 48/13
Step-by-step explanation: first multiply 3 x 13 to get 39. do this because you get the fraction for the whole number, 3. then, add 39 to the numerator (9). you will get 48/13. you do this because you are adding the whole number (3) to the fraction so that way it is an improper fraction.
Which system of linear equations has exactly one solution?
2y = 10x + 4
y = 5x - 2
y = 2x - 3
2y = x - 12
y = 8x + 3
y = 8x + 7
15y = 30x + 90
y = 2x + 6
Answers
Answer:
y = 2x - 3
2y = x - 12
Step-by-step explanation:
Jacob spent 5 hours skiing and snowboarding. He skied for 2 hours 10 minutes.
How long did he spend snowboarding?
Answers
Answer:
he spent 2hours 50minutes snowboarding
the time he spent skiing and snowboarding minus the time he skied
5hours minus 2hours 10minutes
50 POINTS TO CORRECT ANSWER otherwise will be reported:
A cart rolls down a hill, traveling 5 inches the first second and accelerating so that during each successive 1-second time interval, it travels 7 inches more than during the previous 1-second interval. The cart takes 30 seconds to reach the bottom of the hill. How far, in inches, does it travel?
a)215
b)360
c)2992
d) 3195
e) 3242
Answers
9514 1404 393
Answer:
d) 3195
Step-by-step explanation:
The distances traveled make an arithmetic series, the sum of which is given by ...
Sn = (2·a1 +d(n -1))(n/2)
This series has first term a1=5 and common difference d=7. Then the total distance traveled in 30 seconds is ...
S30 = (2·5 +7(30-1))(30/2) = (10 +203)(15) = 3195
The cart travels 3195 inches.