the graph of the function f(x)=ax^2+bx+c is given below could the factor of f(x) be ( x + 2) (x - 3)?
Answers
Step-by-step explanation:
everything can be found in the picture
The graph of the function f(x)=ax²+bx+c could have the factor of f(x) be ( x + 2) (x - 3)
What is a function?A relation is a function if it has only One y-value for each x-value.
We can set two functions y₁=x+2 and y₂=x-3
Let us draw these two functions on the graph
We observe that the function f(x)=ax²+bx+c intersects y₁ and y₂.
y₁ intersects x axis at (-2, 0)
y₁ intersects y axis at (0, 2)
y₂ intersects x axis at (3, 0)
y₂ intersects y axis at (0, -3)
Hence, the graph of the function f(x)=ax²+bx+c could have the factor of f(x) be ( x + 2) (x - 3)
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Related Questions
When should a heart rate monitor be used?
Answers
Answer:
There are two simple, compelling reasons to use a heart-rate monitor: to train and race at the best pace for you. The table below shows you how to find your perfect paces for: (1) the three most important workouts in any training program; and (2) the four most popular road-race distances.
Step-by-step explanation:
Hope this helps :)
The actual amount in a 12-ounce container of a certain brand of orange juice is normally distributed with mean μ = 12.34 ounces and standard deviation σ = 0.04 ounce. What percentage of the juice bottles contain between 12.24 and 12.30 ounces of orange juice?
Answers
Answer:
15.25%
Step-by-step explanation:
The actual amount in a 12-ounce container of a certain brand of orange juice is normally distributed with mean μ = 12.34 ounces and standard deviation σ = 0.04 ounce. What percentage of the juice bottles contain between 12.24 and 12.30 ounces of orange juice?
We solve using the z score formula
z-score is is z = (x-μ)/σ,
where x is the raw score
μ is the population mean = μ = 12.34 ounces
σ is the population standard deviation = σ = 0.04 ounce
For x = 12.24
z = 12.24 - 12.34/0.04
z = -2.5
Probability value from Z-Table:
P(x = 12.24) = 0.0062097
For x = 12.30
z= 12.30 - 12.34/0.04
z = -1
Probability value from Z-Table:
P(x = 12.30) = 0.15866
Hence, the probability of the juice bottles contain between 12.24 and 12.30 ounces of orange juice
P(x = 12.30) - P(x = 12.24)
= 0.15866 - 0.0062097
= 0.1524503
Therefore, the percentage of the juice bottles contain between 12.24 and 12.30 ounces of orange juice is calculated as:
= 0.1524503 × 100
= 15.24503%
= 15.25%
How do you perform constructions related to circles? What theorems and explanations can be used to justify these constructions? How do you perform constructions related to circles? What theorems and explanations can be used to justify these constructions?
Answers
Answer and explanation:
To construct a circle, draw a line that represents the diameter of the circle. Bisect the line so that it is a perpendicular bisector of the diameter of the circle. Place your compass at the bisection point/midpoint and draw an arc or better still the whole circle.
Theorem: the perpendicular bisector of a chord passes through the center of a circle.
Note: a diameter of a circle is a chord that passes through the center of a circle.
I need help with this quickly, I only have a couple hours left before homework is gone.
last day of school is tomorrow....
please answer quickly..
Answers
It only has one x intercept
Step-by-step explanation: when you graph it there is only one point where the line meets the x intercept
b^2 - 4ac is the formula
(-4)^2 - 4(1)(4)
Gets 16 - 16
Equals 0
So there is one x intercept.
Note:
If the number you get is less than 0 it’s no real roots
If equals to 0 it has one real root
If more than 0, than 2 real roots
A rectangle has length 127.3 cm and width 86.5 cm, both correct to 1 decimal place. Calculate the upperbound and the lowerbound for the perimeter of the rectangle. pls answer fast. i need all the workings.
Answers
Answer:
Correct to 1dp
127.3 cm = 127.0 cm
86.5 cm = 87.0 cm
Upper limits:
127.0 cm = 127.05 cm
87.0 cm = 87.05 cm
Lower Limits:
127.0 cm = 126.95 cm
87.0 cm = 86.95 cm
upper limit of perimeter of rectangle:
P = 2(l+w)
= 2(127.05 + 87.05)
= 2(214.1)
= 428.2 cm
lower limit of perimeter of rectangle:
P = 2(l+w)
= 2(126.95 + 86.95)
= 2(213.9)
= 427.8 cm
therefore;
[tex]427.8 cm \leqslant perimeter < 428.2cm[/tex]
The upperbound and the lowerbound for the perimeter of the rectangle are;
Upper bound perimeter = 428.2 cm
Lower bound perimeter = 427.8 cm
To get the upper bound and Lower limits for the length and width, we need to first approximate them to 1 decimal place to get;
Length; 127.3 cm ≈ 127 cm
Width; 86.5 cm ≈ 87 cm
Thus;
Upper limit of length = 127.05 cm
Lower limit of length = 126.95 cm
Upper limit of width = 87.05 cm
Lower limit of width = 86.95 cm
Formula for perimeter of rectangle is;
P = 2(length × width)
Thus;
Upper bound perimeter = 2(127.05 + 87.05)
Upper bound perimeter = 428.2 cm
Lower bound perimeter = 2(126.95 + 86.95)
Lower bound perimeter = 427.8 cm
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Sam built a ramp to a loading dock. The ramp has a vertical support 2 m from the base of the loading dock and 3m from the base of the ramp. If the vertical support is 1.2 m in height, what is the height of the loading dock?
Answers
Answer:
tan angle = x/5.
Step-by-step explanation:
If I understand your description,
tan angle at bottom of ramp = 1.2/3.
Then tan angle = x/5.
Check my thinking.
I need help please and thank you!!
Answers
Answer:
Option 4
Step-by-step explanation:
2x² + 32 = 0
2x² = -32
x² = -16
sqrt(-16) got no real solution. (no real number multiplied by itself will be negative)
Please HELP WITH THIS !!!
Answers
Can someone tell the answer, no one else seemed to know it.
Answers
Answer:
it is right bro x+ 2 .......mark me brainiest please
Can someone help ?! Please
Answers
Answer:
A
Step-by-step explanation:
A prime number only has 2 factors, that is
1 and the number itself
factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
factors of 22 are 1, 2, 11, 22
factors of 33 are 1, 3, 11, 33
factors of 37 are 1, 37
Therefore 37 is a prime number
Find the y-intercept of the line which passes through (-2,-2) and (2,-4). O A. (0, -3) O B. (-3,0) O C. (0, -6) O D. (-6,0) O E. (0,-5)
Answers
9514 1404 393
Answer:
A. (0, -3)
Step-by-step explanation:
Graphing the given points shows you the y-intercept is between them. The x-coordinate of the y-intercept is always 0, so the only viable answer choice is ...
(0, -3)
Which statements about the factors of the terms in the expression 12 x + 18 x y minus 24 y are true? Select three options.
The factors common to 12x and 18xy are 1, 2, 3, 6, x, and y.
The factors common to 12x and 18xy are 1, 2, 3, 6, and x.
The factors common to 12x and 24y are 1, 2, 3, 4, 6, and 12.
The GCF of the expression is 6xy.
The GCF of the expression is 6.
Answers
Answer:
i think the answer is Options B, C and E holds.
Step-by-step explanation:
this makes options B and C a choice:
Given the expression: 12x+18xy-24y
Factors of 12x=1,2,3,4,6,12 and x
Factors of 18xy=1,2,3,6,9,18,x and y.
Factors of 24y=1,2,3,4,6,8,12,24 and y.
next for E this is why its a choice:
12x+18xy-24y=6(2x+3xy-4y)
Answer:
bce
Step-by-step explanation:
BRAINLIEST 1+1+1+1+1+1+1+2424+342+8482384-83838+2333232842852948+284884494924929040294099304-9392382948394892928492848+444+490539532-344435345=
Answers
Answer:
2.7549211e+26
hope this helps!
add me as a friend if you can:)
Answer:
You can copy and paste your question into go.ogle and then you can find the answer.
20 POINTS
The function f(x)=45x represents the number of jumping jacks j(x) you can do in x minutes. How many jumpibg jacks can you do in 10 minutes
Answers
Answer:
450 jumping jacks
Step-by-step explanation:
f(10) = 45 (10)
45 * 10 is just 450 :)
Answer:
450.
Step-by-step explanation:
f(10) = 45 * 10 = 450 jumping jacks.
ILL BRAINLIEST YOU IF YOU HELP ME PLEASE
Answers
Answer:
B
Step-by-step explanation:
They are alternate interior angles so that means they are equal
4x - 30 = 2x
2x = 30
x = 15
Given that a*b = 2a - 3b, then 2*(-3) =
Answers
Answer:
2*(-3)= -6
Step-by-step explanation:
I do not see how "a*b=2a-3b" would change the fact 2 times negative 3 is -6
Please help!!!!!!
Which of these are examples of mutually beneficial interactions? Choose all that apply.
A. Ants living in special hollow thoms in a tree rush out and sting plant-eaters.
B. An orchid grows high in a tree to get more sunlight, but it does not affect the tree.
c. Wolves eat the deer that cannot run as fast as the other deer.
D. A bee gets nectar and pollen from the clover flowers in a meadow.
E. A tick bites a dog and drinks the dog's blood.
Answers
Answer:
A. The tree provides shelter for the ants, and the ants help the tree to stay alive
The number -2 is a solution to which of the following inequalities?
x + 7 > 5
-3 x < 1
x - 7 < -4
Answers
To find it all you need to do is plug in -2 for x and see if the inequality is true.
When you do the math for the first one, you get 5 > 5. That is not true as 5 is equal to 5, not greater.
For the second one you get 6 < 1. Again, that is not true as 1 is not greater than 6.
Finally, you get -9 < -4 for the third one. This one is correct as -9 is a smaller number than -4.
Answer:
The answer is the third one, x - 7 < 4
Step-by-step explanation:
work out the circumfrance of this cirlce take pi to be 3.142 and write down all the digits given by your calculator raduis 10cm
Answers
Answer:
[tex]C=68.4[/tex]
Step-by-step explanation:
[tex]Circumference=2\pi r[/tex]
Pi = 3.142
r (radius) = 10 cm
[tex]C=2(3.142)(10)[/tex]
[tex]C=(6.84)(10)[/tex]
[tex]C=68.4[/tex]
Therefore, circumference of a circle with 10 cm radius is 68.4.
I hope this helps......
Factor this polynomial expression. 2X2 + 12x + 18
A. 2(x+3)(x+3)
B. 2(x - 3)(x-3)
c. 2(x+3)(x - 3)
D. (2x + 9)(x+2)
Answers
[tex]\longrightarrow{\green{A.\:2 \: ( x + 3)(x + 3) }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]2 {x}^{2} + 12x + 18[/tex]
Taking 2 as common factor, we have
[tex] = 2 \: ( {x}^{2} + 6x + 9) \\ = 2 \: ( {x}^{2} + 3x + 3x + 9)[/tex]
Next, we take [tex]x[/tex] as common from first two terms and 3 from last two terms,
[tex] = 2 \: [x(x + 3) + 3(x + 3)][/tex]
Taking the factor [tex](x+3)[/tex] as common,
[tex] = 2 \: ( x + 3)(x + 3)[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]
HELP ASAP NEED HELP. WILL GIVE BRAINIEST AND 100 POINTS.
Algebra 1
Use the function f(x) = 4x^2 - 7x - 15 to answer the questions.
Part a: completely factor f(x).
Part b: what are the x-intercepts of the graph of f(x)? Show your work.
Part C: describe the end behavior of the graph of f(x). Explain.
Part D: what are the steps you would use to graph f(x)? Justify that you can use the answers obtained in part B and part C to draw the graph.
Answers
Answer:
A: [tex]f(x)=(4x+5)(x-3)[/tex]
B: [tex](-\frac{5}{4} , 0)[/tex] and [tex](3, 0)[/tex]
C: They are parallel, which means they have no endpoint.
slope:1/6 point: (24 ,4)
Answers
Answer:
y -4 = 1/6(x-24)
y = 1/6x -2
Step-by-step explanation:
We can point slope form
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y -4 = 1/6(x-24)
Or we can write slope intercept form
y = mx+b where m is the slope and b is the y intercept
Substituting the points
4 = 1/6(24)+b
4 = 6+b
4-6 = b
-2 =b
y = 1/6x -2
Answer:
[tex]y = mx + c \\ 4 = (\frac{1}{6} \times 24) + c \\ 4 = 4 + c \\ c = 0 \\ y = \frac{1}{6} x[/tex]
If two lines are intersected by a third line, is the third line necessarily a transversal?
Answers
No, The third line does not necessarily be a transversal.
What is Equation of line?
The equation of line with slope 'm' and y intercept at point 'b' is given as;
⇒ y = mx + b
Given that;
Two lines intersected by a third line.
Since, When two lines are parallel to each other and two lines intersected by a third line then, third lines are transversal.
So, Here it is not given two lines are parallel.
Thus, Third line is not necessarily a transversal.
Hence, The third line does not necessarily be a transversal.
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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+232x+134
Answers
Answer:
Step-by-step explanation:
when it touch the ground,y=0
-16x²+232x+134=0
-16(x²-29/2 x+(-29/4)²-(-29/4)²)=-134
-16(x-29/4)²-16(-861/16)=-134
-16(x-29/4)²+861=-134
-16(x-29/4)²=-134-861
(x-29/4)²=-995/-16=995/16
x-29/4=±√995/4
rejecting negative sign
x=29/4+√995/4=(29+√995)/4≈15.14 second
Simplify √49 + [√81 - x(9x = 14)]
Answers
[tex]\longrightarrow{\green{- 9 {x}^{2} + 14x + 16}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \sqrt{49} + [ \sqrt{81} - x \: (9x - 14) ] \\ \\ = \sqrt{7 \times 7} + [ \sqrt{9 \times 9} - 9 {x}^{2} + 14x] \\ \\ = \sqrt{( {7})^{2} } + [ \sqrt{ ({9})^{2} } - 9 {x}^{2} + 14x ] \\ \\ (∵ \sqrt{ ({x})^{2} } = x ) \\ \\ = 7 + (9 - 9 {x}^{2} + 14x) \\ \\ = 7 + 9 - 9 {x}^{2} + 14x \\ \\ = - 9 {x}^{2} + 14x + 16[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
a regular polygon has a perimeter of 40 cm and a apothem of 6 cm. find the polygons area
Answers
Answer:
a = 120 cm²
Step-by-step explanation:
n = number of sides
edge length
40/n
divide the polygon into n congruent triangles
a = (1/2)(edge * apothem) * number of triangles
a = (1/2)(40/n)(6) * n
n cancels out
a = (1/2)(40)(6)
a = 120 cm²
It cost Josiah $4.48 to send 112 text messages. What is the cost of sending text
messages, in dollars per text?
Answers
Answer:
4 cents
Step-by-step explanation:
4.48 divided by 112 = 0.04
Evaluate 2(4 - 1) Ο Α. 36 ОВ. 60 O C. 30 O D. 18
please help
Answers
Answer:
D
Step-by-step explanation:
2*3^2
2*9
18
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {D. \:18}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]2 \: ( \: {4 - 1} \: )^{2} [/tex]
[tex] = 2\: (\: {3} \: )^{2} [/tex]
[tex] = 2 \: ( \: 3 \times 3 \: )[/tex]
[tex] = 2 \times 9[/tex]
[tex] = 18[/tex]
Note:-[tex]\sf\pink{PEMDAS\: rule.}[/tex]
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Translate into an inequality.
Negative nine is greater than or equal to the sum of two-fifths times a number and seven
Answers
Answer:
-9 ≥ (2/5x) + 7Step-by-step explanation:
the sign must have a line underneath itself to show that it can be equal and unequal. 2/5 times a number (from my understanding) is 2/5 times a variable, plus 7.
Translation into inequality of negative nine is greater than or equal to the sum of two-fifths times a number, and seven is -9 ≥ (2/5x) + 7.
What is inequality?The relationship between two non-equal values is defined by inequalities. Equal does not mean unequal, though. In most cases, the "not equal sign" is used.
Negative nine is greater than or equal to the sum of two-fifths times a number, and seven can be written as,
-9 ≥ (2/5x) + 7
Therefore, Translation into inequality of negative nine is greater than or equal to the sum of two-fifths times a number, and seven is -9 ≥ (2/5x) + 7.
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(1.8x10^5)divided by(3x10^6) in standard form?
Answers
Answer:
0.06
Step-by-step explanation:
Given data:
[tex]1.8(10^{5})[/tex] divided by 3×[tex]10^{6}[/tex]
Now,
[tex]\frac{(1.8)10^{5} }{3(10^{6}) } \\=0.6(10^{5-6} )\\=0.6(10^{-1} )\\=0.06[/tex]
Answer will be 0.06
The correct standard form is 0.06.
1.8 x 10⁵ divided by 3 x 10⁶
(10)ᵃ × (10)ᵇ = (10)ᵃ⁺ᵇ
(10)ᵃ ÷ (10)ᵇ = (10)ᵃ⁻ᵇ
(1.8 x 10⁵)/3 x 10^6 = 6 x 10⁻²
6/10² = 0.06
Therefore, the standard form is 0.06.
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