A vertical parabola has its vertex in the second quadrant and y=ax2+bx is the equation of this parabola. Sketch the line that has equation y=ax+b.

Answers

Answer 1

The vertex of a parabola is the minimum or the maximum point of the parabola.

See attachment for the equation of [tex]\mathbf{y = 2x + 1}[/tex]

The equation of the parabola is given as:

[tex]\mathbf{y = ax^2 + bx}[/tex]

For the vertex of the parabola to be in the second quadrant, then the following must be true:

a > 0 and b > 0

Take for instance:

a = 2, and b = 1

So, we have:

[tex]\mathbf{y = 2x^2 + 1x}[/tex]

Rewrite as:

[tex]\mathbf{y = 2x^2 + x}[/tex]

Factor out x

[tex]\mathbf{y = x(2x + 1)}[/tex]

So, the line equation is:

[tex]\mathbf{y = 2x + 1}[/tex]

See attachment for the equation of [tex]\mathbf{y = 2x + 1}[/tex]

Read more about parabolas at:

https://brainly.com/question/20333425

A Vertical Parabola Has Its Vertex In The Second Quadrant And Y=ax2+bx Is The Equation Of This Parabola.

Related Questions

Solve for z? Question in photo

Answers

Answer:

z = 3

Step-by-step explanation:

I hope this helps!

y=-2x + 7
y = 5х – 7
Find the solution

Answers

Answer:

x = 2

Step-by-step explanation:

Given:

y = -2x + 7 y = 5х – 7

If y = -2x + 7 and y = 5х – 7, then -2x + 7 = 5х – 7. Now, let's solve.

=> -2x + 7 = 5х – 7

=> 7x = 14

=> x = 2

Since we found 'x', let's find 'y' with the given clue using one equation among any of the two equations.

=> y = 5х – 7

=> y = 5(2) - 7

=> y = 10 - 7

=> y = 3

Hoped this helped.

What percentage of a dollar is the value of 1 nickel and 3 pennies?

Answers

Answer:

8%

Step-by-step explanation:

1 dollar is 100 cents. 1 nickel and 3 pennies is 5+3 = 8 cents. 8 cents would be 8/100 = 8% of 100.

1 nickel and 3 pennies is  5.000000681 percent of a dollar.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

We know 1 nickels which is equal to 5 cents = 0.05 dollars.

1 penny = 0.00000000227 dollars

∴ 3 pennies is = 0.00000000681.

∴ 1 nickel and 3 pennies = 0.05000000681.

∴ 1 nickel and 3 pennies is (0.05000000681/1)×100% of a dollar.

= 5.000000681% of a dollar.

learn more about percentages here :

https://brainly.com/question/24159063

#SPJ2

Juan wants to buy a house for $162,800. The rate of down payment is 20% of the cost of the house. What is the down payment? i assume $3,256,00

Juan wants to buy a house for $162,800. The rate of down payment is 20% of the cost of the house. What will the mortgage be?

Answers

Answer:

I think its gonna be 162.860

help me i need help!!!!!!!!!

Answers

Answer:

y=88

Step-by-step explanation:

Angles in a triangle equal 180

45 + 47 = 92

180 - 92 = 88

Answer:

88

Step-by-step explanation:

The two other angles add up to 92. Because the angles of a triangle, 180-92=y. We subtract to get 88.

can someone help me on this one plss i REALLY need this for school

Answers

Answer:

0.9 + n = 5.2

Step-by-step explanation:

Think about it, 0.9 increased by a number is 5.2

In other words, increasing 0.9 by a number will equal 5.2

So, increasing = adding, right?

Adding 0.9 to a number will equal 5.2

0.9 + n (a number) = 5.2

C increased equals +

help me please question in picture​

Answers

Answer:

the answer is 3x as that is the slope

Answer:

3

Step-by-step explanation:

yeah < 3

BRAINLIEST
I’ve posted this over 5 times please help me

Answers

Answer:

I don't know just guess sorry

How to solve for x: 2x-9=5

Answers

Answer:

5=2x-9

14=2x

x=7

Hope This Helps!!!

If 5 gallons of gas cost $7.79, how much
will 7 gallons cost?

Answers

Answer:

$10.91

Step-by-step explanation:

7 gallons cost:

[tex](\frac{7.79}5}) (7)=\frac{(7.79)(7)}{5} =10.906[/tex]  

rounded to cents: 10.91

I hope this help you

the answer is $10.91 for seven gallons, if u divide 7.79 by 5 it will give you the cost per gallon then once multiplied by how many gallons you will get the correct answer.

what would be 8/1 x 1/2

Answers

Answer:

4.

Step-by-step explanation:

8*1 / 1*2

= 8/2

= 4.

[tex]8\times \dfrac 12 = 4[/tex]

Un pilón de riego está lleno en sus cuatro séptimas partes y contiene 1 600 m3 de agua. ¿Cuántos metros cúbicos caben en el pilón?

Answers

Veremos que el volumen total que cabe en el pilón es 2,800 m^3

Sabemos que el pilón tiene una capacidad máxima V.

Tambíen sabemos que de momento, el pilón tiene 1,600 m^3 de agua, y esto es equivalente a 4/7 de la capacidad máxima.

Entonces podemos plantear:

(4/7)*V = 1,600m^3

Podemos resolver esta ecuación para V si multiplicamos ambos lados por (7/4), así obtenemos:

V = (7/4)*1,600m^3 = 2,800 m^3

Es decir, el volumen total que cabe en el pilon es 2,800m^3

Sí quieres aprender más, puedes leer:

https://brainly.com/question/19129107

(?) solve the following. please show your steps !!

a. 100 – 8 × √25 + 3?

b. 100 – (11 – 4)² × 2?

Answers

Use PEDMAS for order of operation:

a: 100 – 8 × √25 + 3

First solve the root:

100 – 8 × 5 + 3

Next multiply:

100 - 40 + 3

Now solve from left to right:

100-40 = 60

60+3 = 63

Answer: 63

b. 100 – (11 – 4)² × 2

First parentheses:

100 - 7^2 x 2

Next the power:

100 - 49 x 2

Multiplication:

100 - 98 = 2

Answer: 2

find the domain below

Answers

Answer:

Interval Notation: [-2, 10]

Set Notation: {x|-2≤x≤10}

Step-by-step explanation:

Who Is Nathan Drake?

Answers

Answer:

he's the guy from uncharted

Answer: Nathan Drake is a fictional character and the protagonist of the Uncharted video game series, developed by Naughty Dog.

Pls help, I need (c) of the problem 3-106

Answers

Answer:

Negative x minus two

Step-by-step explanation:

3 - (x + 5)

Distribute the negative sign:

3 - x - 5

Simplify:

-x - 2

In words:

Negative x minus two

Can someone please help!!

Answers

Answer:

d

Step-by-step explanation:

40 is the exact amount from a,b,back to c

2) What is the inequality that this graph represents? -15 # 3 6 x​

Answers

Answer:  [tex]y < -\frac{1}{2}x+3[/tex]

This is the same as writing y < (-1/2)x+3

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

Explanation:

The dashed boundary line goes through (0,3) and (4,1)

Apply the slope formula for those two points

m = (y2-y1)/(x2-x1)

m = (1-3)/(4-0)

m = -2/4

m = -1/2

The slope of the dashed line is -1/2. The y intercept is 3. So we go from y = mx+b to y = (-1/2)x+3 to represent the equation of the dashed line. This is the same as writing [tex]y = -\frac{1}{2}x+3[/tex]

We shade below the dashed line to represent the inequality [tex]y < -\frac{1}{2}x+3[/tex]. Points in the shaded region are solutions to the inequality. One example point is (0,0).

Note that we don't have "or equal to" as part of the inequality sign because we are not including points on the boundary. A solid line, rather than a dashed line, would include points on the boundary.

Imagine that you have been asked to write a letter to a 7thgrader. Using academic vocabulary and 5-7 complete sentences, write a letter teaching a 7thgrader about something you have learned in 8thgrade Math this year.
please help me!

Answers

Answer:

step 1: what have you learned?

We cant help you because we do not know what you have learned.

but if you comment your vocab words and what u learned  i can help you  

   Step-by-step explanation:

$1,000 invested at 8% compounded semiannually after a period of 2 years

Answers

Answer:

1160 will be the new amount after 2 years

Step-by-step explanation:

P = $1000, t = 2 years, r = 0.08.

A = 1000(1+0.08(2)) = 1000(1.16) = 1160

Therefore 1160 is the new amount after two years.

please answer fast
10 marks

Answers

Answer:

AB = 5.2 cm , ED = 5 cm

Step-by-step explanation:

Δ ABE and Δ ACD are similar by the AA postulate

Then the ratios of corresponding sides are in proportion , that is

(a)

[tex]\frac{AB}{AC}[/tex] = [tex]\frac{BE}{CD}[/tex] , substitute values

[tex]\frac{AB}{11.7}[/tex] = [tex]\frac{6}{13.5}[/tex] ( cross- multiply )

13.5 × AB = 70.2 ( divide both sides by 13.5 )

AB = 5.2 cm

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

(b)

[tex]\frac{AE}{AD}[/tex] = [tex]\frac{BE}{CD}[/tex] , substitute values

[tex]\frac{4}{AD}[/tex] = [tex]\frac{6}{13.5}[/tex] ( cross- multiply )

6 × AD = 54 ( divide both sides by 6 )

AD = 9

Then

ED = AD - AE = 9 - 4 = 5 cm

can you HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i give you 50

Answers

hope it helps!!!!!!!!!!!!!!!!!!!!!!

what is the solution of the equation w^2=4/9? show work.

Answers

Answer:

w = ± [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

w² = [tex]\frac{4}{9}[/tex] ( take square root of both sides )

w = ± [tex]\sqrt{\frac{4}{9} }[/tex] = ± [tex]\frac{\sqrt{4} }{\sqrt{9} }[/tex] = ± [tex]\frac{2}{3}[/tex]

Then

w = - [tex]\frac{2}{3}[/tex] or w = [tex]\frac{2}{3}[/tex]

Which of the following has 104.0032 in written form?

A. one hundred four thirty-two ten-thousandths
B. one hundred four and thirty-two ten-thousandths
C. one hundred four and thirty-two thousandths
D. one hundred four and thirty hundredths two ten-thousandths

Answers

One hundred and four point zero zero three two.

- BRAINLIEST answerer

Answer:

C.one hundred four and thirty two thousandth


Solve for x

x/4=4/10

Give your answer as an improper fraction in its simplest form.

Answers

Answer:

1.6

hope this helps you!!!!!!!

Step-by-step explanation:

the answer which I have solved is in the image if you have any query then please ask...

What statement describes the decimal equivalent of 3/ 8 ?

Answers

Answer:

0.375

Step-by-step explanation: All you need to do is divide 3 and 8

Is -2g/4h a monomial number

Answers

Yes, because it only has a single expression, although the division sign might not count….

y is inversely proportional to x.
When x = 2.5, y = 4.
Find the value of y when x = 8.

Answers

Answer:

y = 32/2.5

Step-by-step explanation:

formula:

y=kx

k = y/x

k= 4/2.5

so this is k

y = 4/2.5 x

y = 4 / 2.5 × 8

y = 32/2.5

answer.) y = 32/2.5

hope it was helpful

thank you

what is the formula for calculating midpoint​

Answers

MIDPOINT

The intersection of a line segment's two endpoints is known as the midpoint. From the midpoint to one endpoint and the midpoint to the other endpoint, you will be given two equal distances.

The formula for calculating the midpoint is given below:

[tex] \boxed{ \bold{ \: \: M = \bigg(\dfrac{x_1 + x_2}{2}, \dfrac{y_1 + y_2}{2}\bigg) \: \: }}[/tex]

For example, let us try solving this sample problem below using the midpoint formula:

Sample problem: A new transmission tower will be put up midway between two existing towers. On a map drawn on a coordinate plane, the coordinates of first existing tower are (-5, -3) and the coordinates of the second existing tower are (9, 13). What are the coordinates of the point where the new tower will be placed?

From inspection on the given problem:

[tex]\sf (x_1, y_1) = (-5, -3) [/tex][tex]\sf (x_2, y_2) = (9, 13) [/tex]

Substitute the given values into the midpoint formula and solve for M:

[tex]\sf M = \bigg(\dfrac{x_1 + x_2}{2}, \dfrac{y_1 + y_2}{2}\bigg)[/tex]

[tex]\sf M = \bigg(\dfrac{-5 + 9}{2}, \dfrac{-3 + 13}{2}\bigg)[/tex]

[tex]\sf M = \bigg(\dfrac{4}{2}, \dfrac{10}{2}\bigg)[/tex]

[tex]\sf M = (2, 5)[/tex]

Therefore, the coordinates of the point are (2, 5).

[tex]\\[/tex]

Now, wasn't that easy? Try this other sample problem:

The endpoints of a segment are (-5, 2) and (9, 12), respectively. What are the coordinates of its midpoint?

From the sample problem above, you may solve it on your own to enhance your skill on calculating the midpoint.

Cheers!


1) d= rt; t=8, d = 32
A) 24
B)0.3
C)4
D)40

Answers

Answer:

C) 4

Step-by-step explanation:

d =  rt

plug in

t = 8, d = 32

32 = t(8)

Divide both sides by 8

4 = t

C) 4

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