If f(x)=2x^2+x-3, which equation can be used to determine the zeros of the function?
A) 0=(2x-3)(x+1)
B) 0=(2x+3)(x-1)
C) 0=2x(x+1)-3
D) 0=2x(x-1)-3(x+1)
Answer:
B) 0=(2x+3)(x-1)
Step-by-step explanation:
factor the equation f(x) = 2x² + x - 3
=> f(x) = (2x + 3)(x - 1)
Option B is correct.
What is zeros of a function?A zero of a function is a member of x of the domain of f such that f(x) vanishes at x, that is the function f attains the value of 0 at x.
According to the given question
we have a function
[tex]f(x)=2x^{2} +x-3[/tex]
[tex]f(x)=2x^{2} + 3x-2x-3[/tex]
[tex]f(x)=2x^{2} -2x+3x-3[/tex]
[tex]f(x)=2x(x-1)+3(x-1)[/tex]
[tex]f(x)=(2x+3)(x-1)[/tex]
for finding the zeros of f(x), substitute f(x)=0
[tex](2x+3)(x-1)=0\\[/tex]
⇒ x=[tex]\frac{-3}{2}[/tex] and x=1
Hence, option B is used for finding the zeros of the given function f(x).
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Find the surface area of this prism. Please help 20 points!!!!!
Answer:
ima say 260. .................
Answer:
umm 247
Step-by-step explanation:
please...i need help on number 17
Answer:
17) m = 35; n = 110
18) b = 90; c = 80; d = 100
Step-by-step explanation:
17)
2m = 70
m = 35
n + 70 + 70 + n = 360
2n + 140 = 360
2n = 220
n = 110
18)
b - 10 + b + 10 = 180
2b = 180
b = 90
b - 10 = c
90 - 10 = c
c = 80
b + 10 = d
90 + 10 = d
d = 100
If m1 = 42°, what is m2?
The required measure of angle value of the m2 is 48°.
Given that,
The sum of two angles m1 and m2 is 90, where m1 = 42°,
What is the value of m2 is to be determined.
What is the angle?
The angle can be defined as the one line inclined over another line.
What is simplification?The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.
m1 + m2 = 90
42 + m2 = 90
m2 = 48°
Thus, the required value of the m2 is 48°.
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What is the perimeter of the rectangle with the vertices shown below? A(4, 7), B(4, 15), C(9, 15), D(9,7)
Answer:
[tex]X=26[/tex]
Step-by-step explanation:
From the question we are told that:
Co_ordinates of rectangle:
[tex]A(4, 7),\\ B(4, 15),\\C(9, 15),\\D(9,7).[/tex]
Generally the equation for rectangular Perimeter X is is mathematically given by
[tex]X=2(length+breath)\\X=2L+2B[/tex]
Generally the Length of the rectangle is mathematically given by
[tex]L=(y\ axis\ co-ordinate\ of\ C)-(y\ axis\ co-ordinate\ of\ D)\\or\\L=(y\ axis\ co-ordinate\ of\ B)-(y\ axis\ co-ordinate\ of\ A)[/tex]
Therefore
[tex]L=15-7\\L=8[/tex]
Generally the Breath of the rectangle is mathematically given by
[tex]B=(x\ axis\ co-ordinate\ of\ D)-(x\ axis\ co-ordinate\ of\ A)\\or\\B=(y\ axis\ co-ordinate\ of\ C)-(y\ axis\ co-ordinate\ of\ B)[/tex]
Therefore
[tex]B=9-4\\B=5[/tex]
Generally the rectangular Perimeter X is is mathematically given by
[tex]X=2(8)+2(5[/tex]
[tex]X=26[/tex]
HELP!!!! WILL GIVE BRAINLYIST
Answer:
1.071
Step-by-step explanation:
[tex] log_{a}(28) \\ \\ = log_{a}(4 \times 7) \\ \\ = log_{a}(4) + log_{a}(7) \\ \\ = 0.379 + 0.692 \\ \\ log_{a}(28)= 1.071[/tex]
Heres just another one and my answer was 417.45 and says I’m wrong I’m I missing something?
Answer:
805.05333.....
Step-by-step explanation:
To find the volume of a pyramid you need to multiply the bases length, width, height , and [tex]\frac{1}{3}[/tex]
but since 20.7 is not the height then you would need to find it
So imagen a line down the very middle of the pyramid
and connect that with the 20.7in line then connect it again and that makes a triangle.
So there is a formula and it is a²+b²=c²
in this problem a is the missing height b is 11/2 which is 5.5 and c is 20.7
a²+5.5²=20.7² ---> 428.49-30.25=a² --->398.24=a² --->19.955951.....=a
11 x 11 x 19.960 x [tex]\frac{1}{3}[/tex] = 805.05333.....
Answer:
volume = 805.05 in³
Step-by-step explanation:
Here's my calculations.
first, finding the true height (not the slope length):
using the Pythagorean theorem:
height² = 20.7² - 5.5² = 428.49 - 30.25 = 398.24
height = √398.24 = 19.96 in
base = 11 x 11 = 121
volume = 1/3bh = 1/3(121)(19.96) = 805.05 in³
Solve. Your solution needs to have the variable first. -4 + x < -10
Answer and Step-by-step explanation:
First off, we need to get the variable by itself. We do this by adding 4 to each side of the inequality.
x < -6
Our answer is x < -6, so all values that are inputted to x and are less than -6 are solutions to the inequality.
#teamtrees #PAW (Plant And Water)
Each year, roughly 10^6 computer programmers each make about $ 10^5.
How much money is this all together? Express your answer both as a power
of 10 and as a dollar amount.
Answer:
100,000,000,000
Step-by-step explanation:
1 000 000 times 100 000 = 100,000,000,000
Use the drop down to answer the question about converting to a fraction.How many repeating digits are in ?What value is multiplied on both sides of the equals sign?What fraction represents ?
The decimal is a repeating decimal, and the actual fraction represented by 0.64⁻ is 64/99
The number of repeating digitsThe decimal number is given as:
0.64⁻
There are two numbers after the decimal point
So, the number of repeating digits is 2
The value multiplied on both sides of the equals signIn (a), we have the number of repeating digits to be 2.
So, the value multiplied on both sides is:
Value = 10²
Value = 100
Hence, the value multiplied on both sides of the equals sign is 100
The actual fractionThe number is the decimal points is 64.
And the value multiplied on both sides of the equals sign is 100.
So, the fraction is:
64/(100 - 1)
This gives
64/99
Hence, the actual fraction represented by 0.64⁻ is 64/99
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Answer:
2, 100, 64/99
Step-by-step explanation:
One diagonal of the kite is three times as long as the other diagonal. If the area of the kite is 48 square meters, what is the length of each diagonal?
Given:
One diagonal of the kite is three times as long as the other diagonal.
The area of the kite is 48 square meters.
To find:
The length of each diagonal.
Solution:
We know that, the area of the kite is:
[tex]A=\dfrac{d_1d_2}{2}[/tex]
Where, [tex]d_1,d_2[/tex] are two diagonals of a kite.
It is given that, one diagonal of the kite is three times as long as the other diagonal.
Let [tex]d_1=3d_2[/tex]. Then the area of the kite is:
[tex]A=\dfrac{3d_2d_2}{2}[/tex]
[tex]A=\dfrac{3d_2^2}{2}[/tex]
The area of the kite is 48 square meters.
[tex]\dfrac{3d_2^2}{2}=48[/tex]
[tex]3d_2^2=2(48)[/tex]
[tex]d_2^2=\dfrac{96}{3}[/tex]
[tex]d_2^2=32[/tex]
Taking square root on both sides, we get
[tex]d_2=\sqrt{32}[/tex] [It is only positive because side length cannot be negative]
[tex]d_2=4\sqrt{2}[/tex]
Now,
[tex]d_1=3d_2[/tex]
[tex]d_1=3(4\sqrt{2})[/tex]
[tex]d_1=12\sqrt{2}[/tex]
Therefore, the diagonals of the kite are [tex]4\sqrt{2}[/tex] units and [tex]12\sqrt{2}[/tex] units.
A box contains 2 red marbles, 3 white marbles, 4 green marbles, and 1 blue marble find the probability of selecting a white marble in the first draw and a red marble in the second draw
Answer:
Answers
Selecting a green marble on the second
draw if the first marble is blue.
Answer:
Selecting a white marble on the first
draw and red marble on the second
draw.
Answer:
Selecting a red marbles on both draws.
Answer:
Selecting a red or white on the first
draw and green or blue on the second
draw.
Answer:
Selecting a white marble on the first
draw and a white or blue on the second
draw.
Step-by-step explanation:
3 Anthony has
$5 to buy breakfast in the
cafeteria a few times this week. Each
breakfast costs $1.25. Which inequality
represents the relationship between the
number of breakfasts, b, he can buy and
the amount of money he has?
F 5 1.25 + b
G5 < 1.25 + b
H 5 > 1.25b
J 5 < 1.25b
Answer:
The answer would be letter J
The inequality for total expenditure & number of breakfasts is 5 > 1.25b
Formulation of inequality equation for expenditure & breakfasts
Assumed : Number of breakfasts = b
Number of breakfast meals x Price per breakfast meal = Total Expenditure
Total expenditure should be less or than equal to $1.25
So, 1.25b < 5
It implies that inequality : 5 > 1.25b
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Find the surface area of the composite solid 6 ft 4 ft 5 ft 5 ft
The surface area of the composite solid is 165 [tex]feet^2[/tex].
We possess
4 triangles, each measuring 6 feet in height and 5 feet in base
4 rectangles, each measuring 5 feet long and 4 feet wide
1 square has side a = 5 feet.
The formula for a triangle's area is:
[tex]A_T=\frac{1}{2} bh[/tex]
Substitute:
[tex]A_T=\frac{1}{2} 5*6\\A_T=\frac{1}{2} 30\\A_T=15 ft^2[/tex]
Formula for calculating a rectangle's area:
[tex]A_R=lw[/tex]
Substitute:
[tex]A_R=5*4\\A_R=20 ft^2[/tex]
The formula for a square's area is as follows:
[tex]A_s=a^2[/tex]
Substitute:
[tex]A=s=5^2\\A_s=25 ft^2[/tex]
The composite solid's surface area is:
[tex]SA=4A_T+4A_R+A_s[/tex]
Substitute:
[tex]SA=4*15+4*20+25\\SA= 60+80+25\\SA=165 ft^2[/tex]
The composite solid has a surface area of 165 [tex]feet^2[/tex].
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find the distance between the two points rounding to the nearest tenth (1,9) (-2,6)
Answer:
3sqrt2 is the distance between these two points
What conclusion can be made for c and e? Triangle ABC has side AB measuring c, side BC measuring 4 units, and angle ACB measuring 36 and a half degrees. Triangle ABC is connected to triangle ACD by shared side AC. Triangle ACD has side AD measuring e and angle ACD measuring 27 and 8 tenths degrees. Segments BC, AC, and DC are marked congruent. c ≥ e c ≤ e c > e c < e
Answer:
IM ALSO DOING THIS TEST; I'm almost 100% sure it's C>E, since E is a line segment and C is an angle containing two line segments.
Step-by-step explanation:
I'm honestly not sure, but If it's wrong when I submit the test I will tell you <3
Answer:
c > e
Step-by-step explanation:
I actually got it right on part one of my test
2(
5
1
m−
5
2
)+
5
3
Answer:
uh I need the question...
Step-by-step explanation:
which is the correct stem-and-leaf plot for the data set.
Answer:
I just FINISHED THESE QUESTIONS
Step-by-step explanation:
but which plot
Which expression is equivalent to 7x + 4x2 – 5x?
Answer:
2x+8
Step-by-step explanation:
Answer:
[tex]4x^{2} +2x[/tex]
Step-by-step explanation:
I'm not sure what you want, because it says "which expression", but you didn't provide any answer choices.
So all you have to do for this is combine like terms, and the only ones were 7x and -5x, which equals 2x.
What is the answer? 5x+3x+2y+4y=
Answer:
8x+6y
Step-by-step explanation:
add the coefficients of like terms with the same variable
Find the sine and cosine of angles A and B in the figure.
1. sin A = _______
cos A = _________
2. sin B = _______
cos B = _________
Failing plz help
Design a logarithmic function that is in logarithmic form. Then take that function and explain how you would convert it to exponent form.
logarithmic form and although the equations will look different, the equations ... To discuss what a logarithm is, we need to take a look at an exponential function. ... If b > 1, then the graph created will be exponential growth. ... To learn how to change an equation from exponential form to logarithmic form, let's look at a specific.
Which could be the value of the third side of a triangle with sides 3 and 4? A. 3 B. 7 C. 12 D. 20
Answer:
c
Step-by-step explanation:
Help me please. Please number 3 I need help
Answer:
Because they are both using (g units rates).
Step-by-step explanation:
Which ordered pair is a solution to the equation y= 4x - 8?
(2, 1)
(3, 5)
(4, 8)
(5, 10)
(Please help me ASAP I will give u 30 points and brainliest.
Answer:
(4,8)
Step-by-step explanation:
1=8-8 no
5=12-8 no
8=16-8 YES
10=20-8 no
Answer:
I have that same problem!
Step-by-step explanation:
What is the area of a parallelogram that has a height of 2 1/2 inches and a base of 7 inches
I need help ASAP
answer for brainlest and 15 points
Answer:
It is not rational
Step-by-step explanation:
Please helppppppppppppppppp
Answer:
Step-by-step explanation:
1)
a/c =b/d where a=27 c=30 b=x d=18
27/30 = x/18
27*18/30=x
16.2 = x
2)
a/c =b/d where a=2x-5 c=x+11 b=16 d=14
2x-5 / x + 11 = 16 / 14
14(2x-5) = 16(x+11)
28x - 70 = 16x + 176
12x = 246
x = 20.5
3)
6+15 / 7+x = 7 /6
6(6+15) = 7(7+x)
6*21 = 49 +7x
126 = 49 +7x
77 = 7x
11 = x
4)
3*[(x-6)+3]=[tex]6^{2}[/tex]
3(x-3) = 36
3x-9 = 36
3x = 45
x = 15
6.8 x + 9.3 6.8 x + 9.3 equals -9.4 + 3.4 (2 minus 5x)
Answer:
x=-0.5
Step-by-step explanation:
6.8x + 9.3= -9.4 + 3.4 (2-5x)
6.8x + 9.3 = -9.4 + 6.8 - 17x
6.8x + 9.3 = -2.6 - 17x
22.8x = -11.9
x = -0.5
What do you do to the b value to correctly complete the square?
A. Square it
B. Divide it by 2 and square the result
C. Divide it by 2 and take the square root of the result
D. Divide it by 2 only
Answer:
Step-by-step explanation:
B is correct: We Divide it (the coefficient b) by 2 and square the result.
Answer:
B. Divided it by 2 and square the result.