For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and
determine the y-intercept. Decide which table best illustrates these values for the equation:
f(x) = 9x^2 + 5x + 3

For The Given Equation, Find The Values Of A, B, And C, Determine The Direction In Which The Parabola

Answers

Answer 1

Answer:

Table (C)

Step-by-step explanation:

Given equation of the parabola is,

f(x) = 9x² + 5x + 3

By comparing this equation with,

f(x) = ax² + bx + c

a = 9, b = 5 and c = 3

Since, leading coefficient (a) of the function is positive,

Parabola will open upwards.

For y-intercept,

Substitute x = 0 in the equation,

f(0) = 9(0)² + 5(0) + 3

f(0) = 3

Therefore, y-intercept is (0, 3).

Table (C) is the answer.


Related Questions

Write the equation of the line that passes through the points (8, –1) and (2, –5) in standard form, given that the point-slope form is y + 1 = (x – 8).

Answers

Answer:

Ax + By = C is standard form.

y + 1 = (2/3)(x - 8)

distribute the (2/3)

y + 1 = (2/3)x - (16/3)

Multiply each term by 3 to clear the fractions.

3y + 3 = 2x - 16

Subtract 2x from both sides.

-2x + 3y + 3 = - 16

Subtract 3 from both sides.

-2x + 3y = - 19

Correct form typically has the leading coefficient as a positive number so multiply each term by - 1.

2x - 3y = 19

Step-by-step explanation:

Answer:

The answer is 2x + -3y = 19

Step-by-step explanation:

got it right on edge

Someone please help me!! I don’t know the answer!!

Answers

Answer:

Step-by-step explanation:

Remark

The measurement of the arc is 3Pi

that represents 108 / 360 of the circle.

Equation

108/350 2 * pi * R = 3* pi

Solution                            

Pi is on both sides of the equation. They both cancel.

108/360 = 0.3

0.3 * 2 * R = 3

0.6 * R = 3

R = 3/0.6

R = 5

The answer would be R= 5

dididjdjdjdhjdjdh < so that i could answer

Solve the proportion.
14
y +9
-
10
15
y = [?]

Answers

Answer:

y=12

Step-by-step explanation:

14          10

----- =  --------

y+9         15

Using cross products

14*15 = 10 (y+9)

210 = 10(y+9)

Divide by 10

210/10 = 10(y+9)/10

21 = y+9

Subtract 9

21-9 = y

12 =y

A diver begins at 140 feet below sea level. She descends at a steady rate of 7 feet per minute for 4.5 minutes. Then, she ascends 112.2 feet. What is her current depth?
Negative 549.3 feet
Negative 59.3 feet
59.3 feet
549.3 feet

Answers

Answer:

Step-by-step explanation:

starting point: 140 feet below sea level.=-140

she then decends= 7(4.5)=31.5

-140-31.5=-171.5

finally she ascends 112.2 feet

-171.5+112.2=-59.3 feet or 59.3 feet below sea level

Answer:

It's B

Step-by-step explanation:

please help i will give brainliest (check both images)

Answers

Answer:

Amanda's box holds more popcorn.

Amanda's box holds 70 m³ more than Mary's.

Step-by-step explanation:

Find the volume of both boxes.

13.5 x 10 x 10 = 1350.

20 x 8 x 8 = 1280.

As clearly shown, Amanda's box holds more popcorn.

To find how much more, subtract 1,280 from 1,350 to get 70 m³.

Hope this helps!

If there is something wrong, please let me know.

Help me ASAP please!!!

Answers

Answer:

85 inches²

Step-by-step explanation:

Each triangle equals 15 inches

15(4)=60

Square= 5×5=25

60+25=85 inches²

Second time posting this. Please help!! :)

Answers

Answer:

Step-by-step explanation:

[tex]\frac{480+24(x-40)}{x}[/tex]

The numerator of the rational expression the money he earned for 'x' hours

The rate at which William is paid for each hour in excess of 40 hours 24.

x = 50 hours = (40 + 10 ) hours

The amount paid for excess 10 hours = 24 *10 = 240

Total amount earned for the week = 480 + 240 = 720

Find AC, given that line AD is the perpendicular bisector of BC

Answers

Answer:

wouldn’t it just be 21? because both are the same but mirrored

A ball is thrown into the air with an upward velocity of 36 ft/s. It’s height h in feet after t seconds is given by the function h = -16t^2 + 36t + 9. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the balls maximum height ?

Answers

Answer:

Time taken for the ball to hit the ground back = 3.08 s

Step-by-step explanation:

h(t)= -16t² + 48t + 4

when will rhe object come back to hit rhe ground?

When the ball is at the level.of the ground, h(t) = 0.

0 = -16t² + 48t + 4

-16t² + 48t + 4 = 0

Solving the quadratic equation

t = 3.08 s or t = -0.08 s

Since the time cannot be negative,

Time taken for the ball to hit the ground back = 3.08 s

Hope this Helps!!!

Step-by-step explanation:

2cm + 5cm + 6.4cm cuboid

Answers

Answer:

64 volume of the cuboid

formula used is lbh multiplies together.

Mark me as brainliest

Hope it helps:)

Step-by-step explanation:

write an equation of the circle with center (-2,-9) and radius 10

Answers

Answer:

[tex](x+2)^{2}[/tex] + [tex](y+9)^{2}[/tex] = 100

Step-by-step explanation:

Standard Equation of a Circle

[tex](x-h)^{2}[/tex] + [tex](y-k)^{2}[/tex] = [tex]r^{2}[/tex]

(h,k) = center of circle

r = radius of circle

Substitute in given. Watch the negatives.

S is the centroid of the triangle. Find IT if ST= 9

Answers

Answer:

IT = 13.5

Step-by-step explanation:

Recall: According to the Centroid theorem the Centroid of is ⅔ of the distance of the vertex of the triangle to the midpoint of the opposite side.

This means that:

ST = ⅔(IT)

ST = 9 (given)

Substitute

9 = ⅔(IT)

Multiply both sides by 3

3*9 = 2(IT)

27 = 2(IT)

Divide both sides by 2

27/2 = IT

IT = 13.5

Question 18 A block has a volume of 12 cm3 and a density of 25 g/cm. Calculate the mass.​

Answers

Answer:

300 g

Step-by-step explanation:

Mass = volume * density

Mass  = 12*25 = 300 g

Answer:

300 g

Step-by-step explanation:

density = mass / volume

25g/cm^3 = mass / 12 cm^3

25 * 12 = mass

300 = mass

1 by 8 of the passenger of a train where children is there where 40 children traveling in the train on a Saturday how many Abbott were there in that that day?

Answers

Answer:

200 adults

Step-by-step explanation:

1/8 of the passengers (children) is 40

Total passengers in the train is 8/8

Therefore to get the total number of passengers is given by

(8/8) × 40 × (8/1)

= 240 passengers

Adults in the train = Passengers - Children

= 240 - 40

= 200 adults

I’m horrible at math and I need to study for the TSI. Help? 4/5+1/10+5/6

Answers

Answer:

4 ÷ 5 + 1 ÷ 10 + 5 ÷ 6 = 1.733

Step-by-step explanation:

4/5 + 1/10 + 5/6

One thing you can do is make the denominator equal.

4/5(2/2) + 1/10 = 8/10+1/10 = 9/10

9/10 +5/6

Or you could cross multiply, by multiplying the denominator with the opposite numerator (this is the numerator) then multiply the denominator ( this is the denominator)

(6(9)+5(10))/6(10) = 104/60 then simplify to 26/15

If you roll a standard number cube 42 times, how many times do you expect the cube to show a five?
Round your answer to the nearest whole number if needed.

Answers

Answer:

5

Step-by-step explanation:

this is probability

probability of 5 occuring once is = 5/42=0.119

therefore, probability of 5 occuring in 42 times is;

42 x 0.119=4.998

approximately 5

find the missing length indicated.​

Answers

Answer:

The answer is 192 bestie btw im a freshmen

Step-by-step explanation:

Please help me I honestly have zero clue how to answer this question

Answers

Step-by-step explanation:

[tex]n = 3 \times 5 {}^{2} \times {x}^{3} [/tex]

Square both sides of the equation.

[tex]{n}^{2} = (3 {}^{2} \times 5 {}^{4} \times {x}^{6} )[/tex]

[tex]5 {n}^{2} = 5(3 {}^{2} \times {5}^{4} \times {x}^{6} )[/tex]

an umbrella is made by stitching 10 triangular pieces of cloth of two different colours where each pieces measuring 48cm,48cm,and 30cm. find cost of required to make umbrella at rate of 5paisa per square cm.
help plz plz .......

Answers

Given:

An umbrella is made by stitching 10 triangular pieces of cloth.

Each pieces measuring 48cm,48cm, and 30cm.

To find:

The cost of required to make umbrella at rate of 5 paisa per square cm.

Solution:

Area of a triangle is:

[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

Where,

[tex]s=\dfrac{a+b+c}{2}[/tex]

Each pieces measuring 48cm,48cm, and 30cm. So,

[tex]s=\dfrac{48+48+30}{2}[/tex]

[tex]s=\dfrac{126}{2}[/tex]

[tex]s=63[/tex]

Area of one triangular piece is:

[tex]A=\sqrt{63(63-48)(63-48)(63-30)}[/tex]

[tex]A=\sqrt{63(15)(15)(33)}[/tex]

[tex]A=\sqrt{467775}\text{ cm}^2[/tex]

[tex]A\approx 683.9408\text{ cm}^2[/tex]

Area of 10  triangular pieces is:

[tex]10\times 683.9408=6839.408\text{ cm}^2[/tex]

The rate is 5 paisa per square cm. So, the total cost is:

[tex]6839.408\times 5=34197.04[/tex]

Therefore, the total cost is 34197.04 paisa.

A rectangle is twice as long as it is wide. Its width is 51⁄2 cm. Find the area of the rectangle.

Answers

Step-by-step explanation:

The are of rectangle is 1300.5cm2

Identify the range of the function shown in the graph.​

Answers

Answer:           The answer is all real numbers

Step-by-step explanation:

This is the answer because the line goes on infinitely and will pass through all of the numbers (negative, positive). Its not y [tex]\geq \\[/tex] 0 because it passes through 0 when the line goes through x (side to side) axis.

There are 5 brown horses and 4 tan horses in a barn. Sonia will randomly select two horses to ride with her friend. What is the probability that
the first horse selected is tan and the second horse selected is brown?
20/81

5/18

2/9

1/20

Answers

Answer:

5/18

Step-by-step explanation:

The total number of horses present is 9

The probability that the first selected horse is tan is 4/9

So , now for the second choice , we are left with 8 total horses of which 5 is brown

The probability is 5/8

So the joint probability is the product of this two

That will be;

5/8 * 4/9 = 5/18

Three events A, B and C are defined over a sample space, S. Events A and B are independent. Events A and C are mutually exclusive. Given that P(A)= 0.04, P(B)=0.25, P(C)=0.20 and P(B/C)=0.15. Find for P(C/B)

Answers

Answer:

[(b/c)=0.15)]

Step-by-step explanation:

Answer:  0.12

===================================================

Work Shown:

P(B/C) = P(B and C)/P(C) ... conditional probability formula

P(B and C) = P(C)*P(B/C)

P(B and C) = 0.20*0.15

P(B and C) = 0.03

------------

P(C/B) = P(C and B)/P(B) .... note the swap of B and C

P(C/B) = P(B and C)/P(B)

P(C/B) = (0.03)/(0.25)

P(C/B) = 0.12

------------

Extra notes:

The fact that events A and B are independent is not relevant.The fact A and C are mutually exclusive isn't used here either.This problem can be solved through Bayes' Theorem.Another alternative you can do is to set up a 3 by 3 contingency table to help solve this problem.

Grade improvement and study motivation

Answers

Answer:

yes you are write because when our results come with good marks and grade the we are motivate .

Step-by-step explanation:

thanks mark me brainlist

To make a disinfecting solution, Alana mixes 2 cups of bleach with 5 cups of
water. What is the ratio of water to the total amount of disinfecting solution?

Answers

Answer:

Step-by-step explanation:

Ok

If the radioactive half-life of a substance is 20 days, and there are 5 grams of it initially. When will the amount left be 2 grams? Round to the nearest tenth of a day.

Answers

Answer: [tex]26.4\ \text{days}[/tex]

Step-by-step explanation:

Given

Half life of radioactive substance is [tex]T_{\frac{1}{2}}=20\ \text{days}[/tex]

Initial amount [tex]A_o=2\ \text{days}[/tex]

Amount left at any time is given by

[tex]\Rightarrow A=A_o2^{\dfrac{-t}{T_{\frac{1}{2}}}}\\\\\Rightarrow 2=52^{\dfrac{-t}{20}}\\\\\Rightarrow 0.4=2^{\dfrac{-t}{20}}\\\\\Rightarrow 2^{\dfrac{t}{20}}=2.5\\\\\Rightarrow \dfrac{t}{20}\ln 2=\ln (2.5)\\\\\Rightarrow t=\dfrac{20\ln (2.5)}{\ln 2}\\\\\Rightarrow t=26.4\ \text{days}[/tex]

It takes 26.4 days to reach 2 gm.

What number is 22 ten-thousandths more than 1 1/2?

Answers

Answer:

1.50000

.00022

1.50022

Step-by-step explanation:

The number 22 ten thousandths more than [tex]1\frac{1}{2}[/tex] is 1.5022.

Given that, 22 ten-thousandths and [tex]1\frac{1}{2} =\frac{3}{2}[/tex].

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let x be the unknown number.

Now, x-22/10000 = 3/2

⇒ x-0.0022=1.5

⇒ x=1.5+0.0022

⇒ x=1.5022

Therefore, the number 22 ten thousandths more than [tex]1\frac{1}{2}[/tex] is 1.5022.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

-8 is a term? im wondering o homework

Answers

Answer:

Maybe

Step-by-step explanation:

If there is a number in a equation, and you can add/subtract with your number, -8, then yes, otherwise, no.

If it is -8 by itself then it would not be a term. It would be an integer. However, if -8 is with other terms like -8 + x or -8 < x then, yes it is a term.

what is 8^100 / 8^50 is 8^50?

Answers

Answer:

8^50

Step-by-step explanation:

8^100 / 8^50

We know that a^b / a^c = a^(b-c)

8^(100-50)

8^50

In a jail cell, there are 5 Democrats and 6 Republicans. Four of these people will be
chosen for early release. How many 4-person groups are possible?

Answers

two because there is 11 people in total and you have two 4 person groups so that would leave 3 people left and you cant make a 4 person group w 3 people

Combination is a way of arranging the required items from a collection of items where the order of selection is not relevant.

If in a jail cell, there are 5 Democrats and 6 Republicans, the possible ways to form a group of 4 is 330.

The number of possible groups is 330.

What is combination?

Combination is a way of arranging the required items from a collection of items where the order of selection is not relevant.

It is given as:

[tex]^nC_r = \frac{n!}{r!(n-r)!}[/tex]

We have,

The total number of people:

5 Democrats and 6 Republicans = 5 + 6 = 11.

The number of persons in a group = 4.

The number of groups possible are:

= [tex]^{11}C_4[/tex]

= 11! / 4! ( 11-4)!

= 11! / 4! 7!

= 11 x 10 x 9 x 8 / 4 x 3 x 2

= 330

Thus,

The number of possible groups is 330.

Learn more about combination here:

brainly.com/question/2970011

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