Select the correct answer.
Which expression shows the factors of 9x2 + 3x − 2?
Answer:
C.
(3x + 2)(3x − 1)
Step-by-step explanation:
I would factor each answer choice with FOIL
A.
(3x − 1)(3x − 2)
9x^2 -6x -3x +2
9x^2 - 9x + 2
B.
(3x + 1)(3x − 2)
9x^2 -6x + 3x - 2
9x^2 -3x - 2
C.
(3x + 2)(3x − 1)
9x^2 -3x + 6x - 2
9x^2 +3x - 2
D.
(9x − 2)(x + 1)
9x^2 + 9x - 2x -2
9x^2 +7x -2
Answer:
answer is C!
Step-by-step explanation:
Solve. −6 1/4x=−3 1/8 What is the solution to the equation? Enter your answer as a simplified fraction in the box.
solve for x NEED ANSWER NOW PLSSSSSSSSSSSSSSS HEEEEEEEEEELPP
The given equation, -6 1/4x = -3 1/8, solved for is x = 1/2
Solving Linear EquationsFrom the question, we are to solve the given linear equation.
The given linear equation is
-6 1/4x = -3 1/8
To solve the equation,
First, we will convert the fractions to improper fractions
-6 1/4x = -3 1/8
-25/4x = -25/8
Multiply both sides of the equation by -4/25
-4/25 × -25/4x = -4/25 × -25/8
x = 1/2
Hence, the value of x is x = 1/2
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Which of the following does not represent the same function as y = 2x + 4?
The expression that does not represent the same function as y = 2x + 4 is B, which is y = 2x - 4.
A. y = 2(x + 2)
With x = 1, we obtain y = 2(1 + 2) = 6.
The resultant value of y is 6, which corresponds to the value of y when x = 1 for the formula y = 2x + 4. As a result, y = 2x + 4 is represented by the same function as this expression.
B. y = 2x - 4
With x = 1, we obtain y = 2(1) - 4 = -2.
When y = 2x + 4 and x = 1, the value of y obtained is -2, which is not identical to the value of y when x = 1. The function represented by this statement is therefore distinct from that of y = 2x + 4.
C. y = 2(x + 4) - 8
With x = 1, we obtain y = 2(1 + 4) - 8 = 2.
The obtained value of y is 2, which differs from the value of y when
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Verify that segments with lengths of 21 inches, 72 inches, and 75 inches form a triangle. If so, determine whether they form a right triangle.
A. triangle, right triangle
B. triangle, isosceles triangle
C. triangle, obtuse triangle
D. triangle, acute triangle
Answer:
it would be C
Step-by-step explanation:
Right triangle ghi, shown in the coordinate plane below, is rotated 180 degrees clockwise about the origin and then dilated by a factor of 3, centered at the origin forming a new triangle g’h’i’. What is the area of the new triangle g’h’i’?
The area of the new triangle g’h’i’ is 9.
Describe area of triangle?The area of a triangle is a measure of the size of the triangle, calculated as the amount of space enclosed by its three sides. It can be calculated using the following formula:
Area = (base x height) / 2
where base is the length of one side of the triangle, and height is the perpendicular distance from the base to the opposite vertex.
If a triangle is rotated 180 degrees about the origin, its coordinates will change signs. If it is then dilated by a factor of 3, its coordinates will be multiplied by 3. The new triangle g'h'i' will have the following coordinates: g' (-3,0), h' (0,3), and i' (0,-3).
The height of the new triangle will be the absolute value of the difference between its y-coordinates: h = |3 - (-3)| = 6. The base of the triangle will be the absolute value of the difference between its x-coordinates: b = |-3 - 0| = 3.
Therefore, the area of the new triangle g'h'i' is: A = (1/2)bh = (1/2)(3)(6) = 9.
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In a locker, you find the ultimate puzzle book with 385 pages. There is also a clue leading you to another locker. Multiply the number of pages by 23 to get the code for the next locker. What is the code?
Answer:
Step-by-step explanation:
8855 is the code
make L and h the subject of formula
\(V = \frac{1}{2} LBH\)
Answer:
\(V = \frac{1}{2} LBH \\ \\ \\ LH =V \div ( \frac{1}{2} B) \\ \\ LH =V \times \frac{2}{B} \\ \\ \\LH = \frac{2V}{B} \)
Solve the following quadratic equation 3×^2-5=0
Talwar wants to invest R5800 at simple interest rate of 12,2% per annum. How many years will it take for the money to grow to R26100
It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.
To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:
Simple Interest = Principal × Rate × Time
Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:
Time = (Amount - Principal) / (Principal × Rate)
Plugging in the values, we have:
Time = (R26,100 - R5,800) / (R5,800 × 0.122)
= R20,300 / R708.6
≈ 28.67 years
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Assuming the data distribution is normal with a median lifetime income of $25800 and standard deviation of $14000. Use the chart to find the probability that a person chosen at random has a median lifetime income between 1 to 2 standard deviations below the mean.
Answer: To find the probability that a person chosen at random has a median lifetime income between 1 to 2 standard deviations below the mean, we need to calculate the area under the normal distribution curve within that range.
First, let's define the variables:
μ = Mean lifetime income = $25800
σ = Standard deviation = $14000
We want to find the probability of having a median lifetime income between 1 to 2 standard deviations below the mean.
1 standard deviation below the mean would be μ - σ, and 2 standard deviations below the mean would be μ - 2σ.
μ - σ = $25800 - $14000 = $11800
μ - 2σ = $25800 - 2 * $14000 = $-2200
Next, we need to find the z-scores for these values. The z-score represents the number of standard deviations a given value is from the mean in a standard normal distribution.
For μ - σ:
z1 = (11800 - μ) / σ = (11800 - 25800) / 14000 ≈ -1.5714
For μ - 2σ:
z2 = (-2200 - μ) / σ = (-2200 - 25800) / 14000 ≈ -2.2857
Using a standard normal distribution table or a statistical software, we can find the corresponding probabilities associated with these z-scores.
The probability of having a median lifetime income between 1 to 2 standard deviations below the mean is the difference between the probabilities corresponding to z1 and z2.
P(1 to 2 standard deviations below the mean) = P(z1 < Z < z2)
You can refer to a standard normal distribution table or use statistical software (such as Excel, R, or Python) to calculate the probabilities. The exact values may vary depending on the specific table or software used.
An architect is designing a home and needs to create a rectangular bedroom. The bedroom must be 425 ft2 and must be 8 ft longer than it is wide. What are the width and length of the bedroom?
The width of the bedroom is 17 feet. The length of the bedroom is 17 + 8 = 25 feet.
What is the area of the rectangle?
The area of the rectangle is length x breadth. The diagonals of the rectangle divide it into two equivalent right-angled triangles. Therefore, the area of the rectangle will be equal to the sum of the area of these two triangles.
Let w be the width of the bedroom and l be the length of the bedroom.
The width of the bedroom is 8 feet shorter than the length, so the length is w + 8.
The area of the bedroom is the product of its width and length, or w * (w + 8).
We can set up the equation 425 = w * (w + 8) and solve for w.
First, we can rewrite the equation as 425 = w^2 + 8w.
Then, we can complete the square by adding (8/2)^2 = 16 to both sides:
425 + 16 = w^2 + 8w + 16
441 = w^2 + 8w + 16
We can rewrite the left side of the equation as (w + 4)^2, which gives us:
(w + 4)^2 = 441
Taking the square root of both sides gives us:
w + 4 = 21
Subtracting 4 from both sides gives us:
w = 17
Therefore, the width of the bedroom is 17 feet. The length of the bedroom is 17 + 8 = 25 feet.
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What is the value of x?
D
(2x)
E R
(4x + 10)
V
700
Step-by-step explanation:
180° = 2x + 70 + 4x + 10
180° = 2x + 4x + 70 + 10
180° = 6x+ 80
180 - 80 = 6x
100 = 6x
6x = 100
x = 16.66
x ≈ 17°
PLZ HELP BRAINLIEST
Which of the following graphs could represent a function?
Answer:
C
Step-by-step explanation:
all other graphs couldnt work because their x axis do not pass the vertical line test.
please give brainliest
Factor 2x2+25x+50. Rewrite the trinomial with the x-term expanded, using the two factors.
9514 1404 393
Answer:
rewrite: 2x^2 +5x +20x +50factored: (x +10)(2x +5)Step-by-step explanation:
I find this approach the most straightforward of the various ways that trinomial factoring is explained or diagramed.
You want two factors of "ac" that have a total of "b". Here, that means you want factors of 2·50 = 100 that have a total of 25. It is helpful to know your times tables.
100 = 1·100 = 2·50 = 4·25 = 5·20 = 10·10
The sums of these factor pairs are 101, 52, 29, 25, and 20. We want the pair with a sum of 25, so that's 5 and 20.
The trinomial can be rewritten using these factors as ...
2x^2 +5x +20x +50
Then it can be factored by grouping consecutive pairs:
(2x^2 +5x) +(20x +50) = x(2x +5) +10(2x +5) = (x +10)(2x +5)
_____
Additional comment
It doesn't matter which of the factors of the pair you write first. If our rewrite were ...
2x^2 +20x +5x +50
Then the grouping and factoring would be (2x^2 +20x) +(5x +50)
= 2x(x +10) +5(x +10) = (2x +5)(x +10) . . . . . same factoring
7(6)^×=39How do I solve for x?
Given:
\(7(6)^x=39\)Required:
We need to find the value of x.
Explanation:
Divide both sides of the equation by 7.
\(\frac{7(6)^x}{7}=\frac{39}{7}\)\((6)^x=\frac{39}{7}\)Take a natural log on both sides of the equation.
\(In(6)^x=In(\frac{39}{7})\)\(Use\text{ }In(a)^n=nIn(a).\)\(xIn(6)=In(\frac{39}{7})\)\(Divide\text{ both sides of the equation by }In(6).\)\(\frac{xIn(6)}{In(6)}=\frac{In(39\/7)}{In(6)}\)\(x=\frac{In(39\/7)}{In(6)}\)\(x=0.9587\)\(x=0.96\)Final answer:
\(x=0.9587\)\(x=0.96\)Please help me I will mark brainliest I'm so confused Use the graph representing bacteria decay to estimate the domain of the function and solve for the average rate of change across the domain. An exponential function titled Bacteria Decay with x axis labeled Time, in Minutes, and y axis labeled Amount of Bacteria, in Thousands, decreasing to the right with a y intercept of 0 comma 60 and an x intercept of 18 comma 0. 0 ≤ x ≤ 18, −3.33 0 ≤ x ≤ 18, −0.3 0 ≤ y ≤ 60, −3.33 0 ≤ y ≤ 60, −0.3
Answer:
0 ≤ x ≤ 18, - 3.333333
Step-by-step explanation:
The domain is the values that x takes
x goes from 0 to 18 inclusive
0 ≤ x ≤ 18,
The average rate of change is
f(18) - f(0)
--------------
18-0
0 - 60
-----------
18
-3.3333333
Which of the following equations could represent the relationship between x and y in the table below
Answer:
it is 12 to the fourth pepaper DAMI
Step-by-step explanation:
YESSSA
Select the correct answer. Each statement describes a transformation of the graph of y = x. Which statement correctly describes the graph of y = x − 13? A. It is the graph of y = x translated 13 units to the left. B. It is the graph of y = x where the slope is decreased by 13. C. It is the graph of y = x translated 13 units to the right. D. It is the graph of y = x translated 13 units up.
The correct statement for y = x - 13 is C. It is the graph of y = x translated 13 units to the right to the parent function y = x.
What is a function?A function can be thought of as output for the given or specified set of inputs.
Given a parent function y = x and it is a linear function and also reflexive.
The function y = x - 13 implies
x - 13 = 0 or x = 13.
∴ The graph of the function y = x - 13 will shift to the right along the x-axis by 13 units to the right. This is also known as translation.
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Answer:The correct statement for y = x - 13 is C. It is the graph of y = x translated 13 units to the right to the parent function y = x.
Step-by-step explanation:
What is a function?
A function can be thought of as output for the given or specified set of inputs.
Given a parent function y = x and it is a linear function and also reflexive.
The function y = x - 13 implies
x - 13 = 0 or x = 13.
∴ The graph of the function y = x - 13 will shift to the right along the x-axis by 13 units to the right. This is also known as translation.
Answers please, and explain if you don't mind.
90×4/9=40 is this equation true
The equation is correct, and the value on both sides of the equation is 40.
To verify if the equation 90 × 4/9 = 40 is true, we can perform the calculation on both sides and compare the results.
On the left side of the equation:
90 × 4/9 = (90 × 4) / 9 = 360 / 9 = 40
On the right side of the equation:
40
Both sides of the equation evaluate to 40, which means they are equal. Therefore, the equation 90 × 4/9 = 40 is indeed true.
In summary, the equation is correct, and the value on both sides of the equation is 40.
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27-[38-{46-(15-13-2)}]
Answer:
27-[38-{46-(15-13-2)}]
27-(38-(46-0)
2-(38-46)
27-(-8)
27+8
35
Is this better
DUDE IVE BEEN ASKIN FOR HELP FOR AWHILE PLEASE HELP I BEG OF U I WILL DO ANYTHING EXTRA POINTS WHATEVER
Answer:
i can help with a littel bit of it
Step-by-step explanation:
1. answer
29±95‾‾‾√9
x
=
−
2
9
±
95
i
9
=−0.222222+1.08298
x
=
−
0.222222
+
1.08298
i
=−0.222222−1.08298
x
=
−
0.222222
−
1.08298
i
Find the Solution for:
92+4+11=0
9
x
2
+
4
x
+
11
=
0
using the Quadratic Formula where
a = 9, b = 4, and c = 11
=−±2−4‾‾‾‾‾‾‾‾√2
x
=
−
b
±
b
2
−
4
a
c
2
a
=−4±42−4(9)(11)‾‾‾‾‾‾‾‾‾‾‾‾√2(9)
x
=
−
4
±
4
2
−
4
(
9
)
(
11
)
2
(
9
)
=−4±16−396‾‾‾‾‾‾‾‾‾√18
x
=
−
4
±
16
−
396
18
=−4±−380‾‾‾‾‾√18
x
=
−
4
±
−
380
18
The discriminant 2−4<0
b
2
−
4
a
c
<
0
so, there are two complex roots.
Simplify the Radical:
=−4±295‾‾‾√18
x
=
−
4
±
2
95
i
18
=−418±295‾‾‾√18
x
=
−
4
18
±
2
95
i
18
Simplify fractions and/or signs:
=−29±95‾‾‾√9
x
=
−
2
9
±
95
i
9
which becomes
=−0.222222+1.08298
x
=
−
0.222222
+
1.08298
i
=−0.222222−1.08298
2. Answer:
=−38±895‾‾‾‾√40
x
=
−
3
8
±
895
i
40
=−0.375+0.747914
x
=
−
0.375
+
0.747914
i
=−0.375−0.747914
x
=
−
0.375
−
0.747914
i
3. Answer:
=0=−74
x
=
0
x
=
−
7
4
=0
x
=
0
=−1.75
Find the Solution for
82+14+0=0
8
x
2
+
14
x
+
0
=
0
using the Quadratic Formula where
a = 8, b = 14, and c = 0
=−±2−4‾‾‾‾‾‾‾‾√2
x
=
−
b
±
b
2
−
4
a
c
2
a
=−14±142−4(8)(0)‾‾‾‾‾‾‾‾‾‾‾‾√2(8)
x
=
−
14
±
14
2
−
4
(
8
)
(
0
)
2
(
8
)
=−14±196−0‾‾‾‾‾‾‾√16
x
=
−
14
±
196
−
0
16
=−14±196‾‾‾‾√16
x
=
−
14
±
196
16
The discriminant 2−4>0
b
2
−
4
a
c
>
0
so, there are two real roots.
Simplify the Radical:
=−14±1416
x
=
−
14
±
14
16
=016=−2816
x
=
0
16
x
=
−
28
16
=0=−74
x
=
0
x
=
−
7
4
which becomes
=0
x
=
0
=−1.75
i hope this helps
f(x)
g(x)
=6x−4
=3x
2
−2x−10
Escribe (g∘f)(x) como una expresión en términos de x.
Answer:
g(x)
=6x−4
=3x
2
−2x−10
Escribe (g∘f)(x) como una expresión en términos de x.
Step-by-step explanation:
Primero necesitamos conocer la función f(x). Luego podemos sustituir f(x) en g(x) para obtener (g∘f)(x).
Como la función f(x) no se proporcionó en la pregunta, asumiré que f(x) es:
f(x) = x^2 - 2x + 1
Entonces, podemos sustituir f(x) en g(x) de la siguiente manera:
g(f(x)) = 6f(x) - 4
= 6(x^2 - 2x + 1) - 4 (sustituyendo f(x))
= 6x^2 - 12x + 2
Por lo tanto, (g∘f)(x) = 6x^2 - 12x + 2.
quizizz thx 10 pts each brainiest guaranteed with pic
Answer:
option B
polynomial cannot have negative power
hope it helps
Brian, Pip and Sara share some sweets in the ratio 4:3:1. Brian gets 60 sweets. How many did
Sara get?
Help please
Need Help please, here is screenshot
1)
The axis of symmetry is x = -6.
2)
Vertex is (-6, 26).
3)
f(x) has a maximum value.
4)
f(x) is concave down.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 7 is an equation.
We have,
f(x) = -x² - 12x - 10
This is in the form of ax² + bx + c.
a = -1, b = -12, c = -10
The axis of symmetry is x = -b/2a
x = 12/(-2)
x = -6
Now,
f(x) = -x² - 12x - 10
f(x) = -(x² + 12x + 10)
f(x) = - { (x² + 12x + 36) - 36 + 10}
f(x) = -(x + 6)² + 26
This is in the form of f(x) = a (x - h)² + k
a = -1, h = -6, k = 26
Vertex = (h, k) = (-6, 26)
Now,
f(x) = -x² - 12x - 10
f'(x) = -2x - 12
f''(x) = -2
It is a negative value.
This means f(x) has a maximum value.
Now,
From the graph, we see that f(x) is concave down.
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Simplify the following.
7² =
4⁰ =
6-¹=
Answer:
49
1
1/6
Step-by-step explanation:
7^2 is just 7 * 7 = 49
4^0 = 1, since anything to the power of 0, is 1.
\(6^{-1}\) is equal to \(\frac{1}{6}\) since \((\frac{a}{b})^{-x}=(\frac{b}{a})^x=\frac{b^x}{a^x}\). Whenever you have a negative exponent, you flip the fraction, in this case the fraction is 6/1 so it becomes 1/6. then distribute the exponent across the division and you get 1^1/6^1 which is just 1/6
Answer:
491Step-by-step explanation:
hey
please like my question
Given: tangent to Circle O.
If m = 140°, then A =
The measure of the angle A is 70 degrees if the DR is the tangent to the circle option (A) 70 degrees is correct.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
Join the points B and O and then join points D and O
Angle A = (1/2)Angle BOD
Angle B = 140 degrees
Angle A = (1/2)140 degrees
Angle A = 70 degrees
Thus, the measure of the angle A is 70 degrees if the DR is the tangent to the circle option (A) 70 degrees is correct.
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A system of linear equations is graphed.
Which ordered pair is the best estimate for the solution to the system?
(0, −6.5)
(2, −6.5)
(2.5, −6.5)
(−1.5, 0)
(2, −6.5), from the graph, point out the coordinates where both lines intersect each other. That is the solution for both the lines. Here the lines cut at x : 2 and y : -6.5. Therefore (2, −6.5) is the best estimate for the solution to the system.
Check the intersection point where both lines meet at.
y lies somehow between -6 and -7 .So it's approximately equal to -6.5.x is equal to 2So the co-ordinates are
(x,y)=(2,-6.5)
If HI = JK , what is the length of HK ?