Answer:
Graph the parabola y=x2−7x+2 .
Compare the equation with y=ax2+bx+c to find the values of a , b , and c .
Here, a=1,b=−7 and c=2 .
Use the values of the coefficients to write the equation of axis of symmetry .
The graph of a quadratic equation in the form y=ax2+bx+c has as its axis of symmetry the line x=−b2a . So, the equation of the axis of symmetry of the given parabola is x=−(−7)2(1) or x=72 .
Substitute x=72 in the equation to find the y -coordinate of the vertex.
y=(72)2−7(72)+2 =494−492+2 =49 − 98 + 84 =−414
Therefore, the coordinates of the vertex are (72,−414) .
Now, substitute a few more x -values in the equation to get the corresponding y -values.
x y=x2−7x+2
0 2
1 −4
2 −8
3 −10
5 −8
7 2
Plot the points and join them to get the parabola.
What fraction is
750g of 1 1/4 kg
Solve each inequality |x-5|>-3
Answer:
8
Step-by-step explanation:
Just move the modellus
x-5=3
x=5+3
x=8
9th grade math please help thanks <3
Step-by-step explanation:
8) 52
9) (135/2) or 67.5
10)(32/5) or 6.4
Which polynomials are prime? check all that apply. 15x2 10x – 9x 7 20x2 – 12x 30x – 18 6x3 14x2 – 12x – 28 8x3 20x2 3x 12 11x4 4x2 – 6x2 – 16
The options that are prime polynomials are,
15x^2 +10x -9x+7, 8x^3+20x^2+3x+12 and 11x^4+4x^2-6x^2-16
What is the prime polynomial?A polynomial with integer coefficients that cannot be factored into polynomials of lower degree, also with integer coefficients, is called an irreducible or prime polynomial.
To determine all options in order to check that the polynomials are prime or not:
1). 15x^2 +10x -9x+7
5x(3x + 2) - (9x - 7)
Therefore, this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.
2). 20x^2-12x+30x-18
4x(5x - 3)+6(5x-3)
(4x + 6)(5x - 3)
Therefore, this polynomial is converted into a lower degree polynomial. Therefore, it is not a prime polynomial.
3). 6x^3+14x^2-12x-28
2x^2(3x+7)-4(3x+7)
(2x^2-4)(3x+7)
Therefore, this polynomial is converted into a lower degree polynomial. Therefore, it is not a prime polynomial.
4). 8x^3+20x^2+3x+12
4x^2(2x+5)+(3x+20)
Therefore, this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.
5). 11x^4+4x^2-6x^2-16
x^2(11x^2+4)-2(3x^2+8)
So, this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.
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Find BC. PLEASE HELP
HELP PLEASE HELP PLEASE HELP PLEASE
Answer:
no
Step-by-step explanation:
1
possible
Find the interest on the following loan.
$5315 at 5%; loan made on August 10 and due December 23
The interest amount (simple interest ) on the loan amount $5315 at 5% from 10th aug to 23rd dec. of same year is $105.50
How to calculate simple interest's amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:
[tex]I = \dfrac{P \times R \times T}{100}[/tex]
For this case, we're specified that:
Principal amount = $5315Rate of interest = R% = 5% (assumingly annually, and simple interest).Time for which interest was applied: 10th aug to 23rd dec.( of same year assumingly)Converting this time in terms of year, we get:
Aug has 31 days, Sept has 30 days, Oct. has 31 days, Nov has 30 days.
From 10th aug, till its last, there went 22 days.
Whole sept and oct and nov. was spent (30+31+30 = 91 days)
And then there were 22 days of december(23rd day not covered assumingly)
So, total days = 22+22+91 = 145 days.
Assuming averagely 365.25 days in an year, we get the average time for which the interest will be calculated as:
[tex]\dfrac{145}{365.25} \approx 0.397 \: \rm years[/tex]
Thus, we get: the amount of interest as:
[tex]I = \dfrac{P \times R \times T}{100}\\\\I \approx \dfrac{5315 \times 5\times 0.397}{100} \approx 105.50 \: \rm dollars[/tex]
Thus, the interest amount (simple interest ) on the loan amount $5315 at 5% from 10th aug to 23rd dec. of same year is $105.50
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#SPJ1
Coach Martinez is picking one of three students (Bella, Chrissie, or Destiny) to
be team captain. What is a fair way to do this?
O A. Toss a coin twice. If it comes up heads 2 times, pick Bella. If it
comes up heads 1 time, choose Chrissie. If it comes up heads 0
times, choose Destiny.
B. Roll a number cube. If 1 or 6 comes up, pick Bella. If 2 or 5 comes
up, pick Chrissie. If any other number comes up, pick Destiny.
C. Roll a number cube. If an even number comes up, pick Bella. If a 3
or a 5 comes up, pick Chrissie. If any other number comes up, pick
Destiny
D. Choose the tallest of the three girls.
Answer:
D
Step-by-step explanation:
I think it is sorry if I'm wrong
Lily's basketball team won 4/5 of their games. Lily scored points 2/3 of the games her team won. In waht fraction of her team's winning games did Lily score points?
A) 2/15
B) 8/15
C) 3/4
D) 5/6
[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]
════════════════════
Lily's basketball team won 4/5 of their games. Lily scored points 2/3 of the games her team won. In waht fraction of her team's winning games did Lily score points?
Answer: =D.[tex] \frac{5}{6}[/tex]
Solution:
[tex]\frac{ 2 }{ 3 } \div \frac{ 4 }{ 5 } =[/tex]
[tex]\frac{2}{3}\times \left(\frac{5}{4}\right) [/tex]
[tex]\frac{2\times 5}{3\times 4} [/tex]
[tex]\frac{10}{12} [/tex]
=[tex] \frac{5}{6}[/tex]
I reduced the fraction [tex] \frac{10}{12}[/tex] into the Lowest terms by doing extracting and cancelling out the [tex]2[/tex]
=[tex] \frac{5}{6}[/tex]
So the answer is letter D.[tex] \frac{5}{6}[/tex]
════════════════════
Explanation:
#Carry on learning
Find the equation of the line that goes through the points (0, 4) and (10, 2).
y = -1/5 x + 2
y = -5x + 4
y = -1/5 x + 4
y = 1/5 x - 4
Answer:
[tex]y=-\frac{1}{5}x+4[/tex]
Step-by-step explanation:
Just substitute in the values[tex]4\neq 2[/tex] [1][tex]4=4[/tex] but [tex]2\neq -20+4[/tex] [2][tex]4=4[/tex] and [tex]2=-2+4[/tex]An isosceles right triangle has legs that are 10 centimeters long. To the nearest tenth of a centimeter, what is the length of the hypotenuse?
Question
An isosceles right triangle has legs that are 10 centimeters long. To the nearest tenth of a centimeter, what is the length of the hypotenuse?
Answer:
14.1 cm
Step-by-step explanation:
is a right triangle and we use the Pythagorean theorem
√(10² + 10²) =
√(100 + 100) =
√200 =
14.1
16. Which scale factor was used to dilate AABC to AA'B'C'?
A. 6
B. 3
C. 4
D. 5
Answer: C
Step-by-step explanation:
Two spheres have volumes of 8π cm3 and 64π cm3. if the surface area of the smaller sphere is 16π cm2, what is the surface area of the larger sphere? 64π cm2 96π cm2 128π cm2 256π cm2
The surface area of the larger sphere with a volume of 64π cm³ comes to be 16π∛36 cm³.
The volume of the larger sphere = 64π cm³
Suppose the radius of the larger sphere is r
So, 4/3*π*r³ =64π
r³=48
r=2∛6
What is the surface area of a sphere?The surface area of a sphere is 4πr² where r is the radius.
So, the surface area of the larger sphere = 4π(2∛6)²
The surface area of the larger sphere = 16π∛36
Hence, The surface area of the larger sphere with a volume of 64π cm³ is 16π∛36 cm³.
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please awnser correctly
Answer:
x = 93
Step-by-step explanation:
angles in the f shape on 2 parallel lines are equal
Answer:
x = 93⁰
Step-by-step explanation:
This is an example of corresponding angles (corresponding angles are equal). If you search corresponding angles online there are indepth algebraic explanations as to why corresponding angles are equal. In order to be corresponding, they need to be on the same side of the transversal (the line cutting through the 2 parallel lines) and be on the same side of their "parent" line as the other.
what values make 4s+3=9 true
Answer:
Solve for 's' using inverse operations;
4s + 3 = 9
Get rid of constants first.
By doing this, we subtract 3 from both sides because the inverse operation of addition is subtraction.
-3 -3
4s = 6
Isolate 's' by dividing 4 from both sides because the inverse operation of multiplication is division.
÷ 4 ÷ 4
s = 6/4 which equals 1.5 therefore the value of 's' to make this equation true is 1.5.
25
What is the product?
(7x^2)(2x^3+5)(x^2-4x-9)
•
14x5 - x+ -46x3 - 58x2 - 20x -45
•
14x5 56x5 - 91x4 - 140x3 - 315x2
O 14x7-56x8-126x5+35x4-140X3-315x2
•
14x12 - 182x8 + 35x4 -455x2
Answer:
14x^7 - 56x^6 - 126x^5 + 35x^4 - 140x^3 - 315x^2
Step-by-step explanation:
(7x^2)(2x^3+5)(x^2-4x-9)
(14x^5+35x^2)(x^2-4x-9)
14x^7 -56x^6 - 126x^5 + 35x^4 -140x^3 - 315x^2
I don't see a correct answer option.
The one written as:
O 14x7-56x8-126x5+35x4-140X3-315x2
comes the closest, but it is not exact. I get 56x^6, not 56x^8.
during a sale,the price of a digital camera is reduced from $180 to $117.By what percentage is the price of the camera reduced
Translate the following English phrase into an algebraic expression: three more than twice some number
Answer:
2x+3
or
2N + 3
Can u help me solve this plsssss???
Dilating the triangle ABC would create a triangle with a different side length from triangle ABC
How to dilate the figure?From the diagram, we have the coordinates to be:
A = (2,-5)
B = (2,4)
C = (-4,3)
The dilation rule is given as:
(x,y) => (1.5x, 1.5y)
So, we have:
A' = (3,-7.5)
B' = (3,6)
C' = (-6,4.5)
See attachment for the image of the dilation
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A seed company distributed 2,995,748,111 seeds last season. This season, the company distributed 1,598,485,845 seeds. What is the estimated amount of seeds distributed both seasons? Round to the nearest billion
Answer:
they sold 1,397,262,266 less seeds this season but made 1,397,262,266 last season
Step-by-step explanation:
2,995,748,111 - 1,598,485,845 = 1,397,262,266
The coordinates of the point P:(2,2), Q:(6,2), R:(6,5), S:(2,5) represent the vertices of a rectangle. What is the perimeter, in units of rectangle PQRS?
Answer:
Hope the picture will help you....
Answer:
C. 14 units
Step-by-step explanation:
Perimeter is the distance around the outside of the shape. Add up all the sides. See image.
Solve the following: 32 = 4 + 4 x 8 = ?
A. 42
B. 96
C. 32
D. 40
Answer:
The answer is
→ Option D.) 40
Step-by-step explanation:
32 ÷ 4 + 4 x 8
= 32 ÷ 4 = 8
= 8 + 4 x 8
= 8 + 32
= 40
Therefore, Option D.) 40 is your answer.
Hope this helped! :^)
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- ✨7272033Alt✨
Submitted on 4/19/2022 at 7:25 PM
(To avoid plagarism, by users whom decide to copy.)
Answer:
Step-by-step explanation: 36 see attachment
Create an equation that models the number of tiles in a given stage.
Please help me this is do today
Answer:
Any number that can be written as a ratio (or fraction) of two integers
Step-by-step explanation:
Answer:
A rational number is a number that can be written as a fraction of two integers.
This makes the last option A number that can be written as a fraction correct
What is the value of (2/3)^-4 ?
Answer: 81/16
Step-by-step explanation:
When you have a negative exponent, it is equivelant to taking the reciprocal of the exponential and making the exponent positive:
[tex](2/3)^-^4=\frac{1}{(2/3)^4}[/tex]
Distribute the exponent to the base. We are able to do this because the base is composed of a single term. If it were composed of addition and subtraction, you cannot distribute the exponent:
[tex]\frac{1}{(2/3)^4}=\frac{1}{(2^4/3^4)}=\frac{1}{(16/81)}[/tex]
Dividng by a fraction is equivalent to multiplying by the reciprocal:
[tex]\frac{1}{(16/81)}=1\frac{81}{(16)}=\frac{81}{16}[/tex]
Factor –7x3 21x2 3x – 9 by grouping. what is the resulting expression? (3 – 7x)(x2 – 3) (7x – 3)(3 x2) (3 – 7x2)(x – 3) (7x2 – 3)(3 x)
The factors of the expression are [tex]\rm(3 - 7x^2)(x - 3)[/tex]
How to find factors in the expression?First group the first two terms and the last two terms together respectively.
The factors of the expression are given by;
[tex]\rm= -7x^3 + 21x^2 + 3x - 9\\\\=-7x^2(x - 3) + 3(x - 3)\\\\=(3 - 7x^2)(x - 3)[/tex]
Hence, the factors of the expression are [tex]\rm \rm(3 - 7x^2)(x - 3)[/tex].
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An airplane is flying in the direction of 30 degrees south of west at 600 mph. a wind is blowing in the direction of 60 degrees north of east at 40 mph. are the component forms for the air and wind vectors. the ground speed, g, of the plane is given by .
The ground speed (G) is given as
.[tex]G=\sqrt{(600\dfrac{\sqrt{3}}{2}+20)^2+(300+40\dfrac{\sqrt{3}}{2}})^2}[/tex]
The correct potion is B.
What is a vector?The quantity which has magnitude, direction and follows the law of vector addition is called a vector.
An airplane is flying in the direction of 30 degrees South of West at 600 mph. A wind is blowing in the direction of 60 degrees North of East at 40 mph.
It means the airplane is flying in the opposite direction of the wind.
The component of an airplane will be
[tex]x=-600sin30\\\\x=\dfrac{-600}{2}=-300\\\\y=-600cos30\\\\y=\dfrac{-600 \sqrt{3}}{2}}[/tex]
The component of wind will be
[tex]x=40cos60\\\\x=\dfrac{40}{2}=20\\\\y=40sin45\\\\y=\dfrac{40\sqrt{3}}{2}}[/tex]
Then the ground speed will be
.[tex]G=\sqrt{(600\dfrac{\sqrt{3}}{2}+20)^2+(300+40\dfrac{\sqrt{3}}{2}})^2}[/tex]
Then the correct potion is B.
More about the vector link is given below.
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Answer:
C and B
Step-by-step explanation:
C and B
The Forever Chocolate Chocolate company specializes in 3 types of chocolates: dark chocolate, milk chocolate, and white chocolate. Of the three, 35% is dark and 0.4 is white. Milk chocolate makes up what fraction of the total amount of chocolate Forever Chocolate Chocolate makes?
Answer:
1/4
Step-by-step explanation:
someone said 1/4 when I searched this question up so it may be correct
2/5 * -3/7 - 1/14 - 3/7 * 3/5 + 1/2
Explan it pls ty (best gets brainliest)
Answer:
the answer is (-5/35) or (-1/7)
Step-by-step explanation:
yea i think that explains it pretty nicely
Which of the following are in correct order from greatest to least? startfraction pi over 2 endfraction, 330°, startfraction 5 pi over 3 endfraction, startfraction 7 pi over 6 endfraction, startfraction 2 pi over 3 endfraction startfraction 5 pi over 3 endfraction, startfraction 7 pi over 6 endfraction, startfraction 2 pi over 3 endfraction, startfraction pi over 2 endfraction , 330° startfraction pi over 2 endfraction, startfraction 2 pi over 3 endfraction, startfraction 7 pi over 6 endfraction, startfraction 5 pi over 3 endfraction, 330° 330°, startfraction 5 pi over 3 endfraction, startfraction 7 pi over 6 endfraction, startfraction 2 pi over 3 endfraction, startfraction pi over 2 endfraction
The angles are in correct order greatest to least is 330°, 5π/3, 7π/6, 2π/3, π/2.
What is a reference angle?A reference angle means the measure of the smallest, positive, acute angle that is formed by the terminal side of the angle. Therefore, positive reference angles possess terminal sides in the first quadrant.
Lets convert all the values into degrees
330° = 330°
π/2 = 180/2 = 90°
5π/3 = 300°
7π/6 = 210°
2π/3 = 120°
Arrange them from greatest to lowest.
330°, 300°, 210°, 120°, 90°
or
330°, 5π/3, 7π/6, 2π/3, π/2
Hence, the angles are in correct order greatest to least is 330°, 5π/3, 7π/6, 2π/3, π/2.
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Answer:
d
Step-by-step explanation:
thats what the guy above me said