Write a quadratic equation in standard form that has the following solutions: x = 4/3 and x = - 2/5

Answers

Answer 1

Answer:

15x^2 - 14x - 8 = 0.

Step-by-step explanation:

(x  - 4/3)(x + 2/5) = 0

Converted to integer values by multiplying the first bracket by 3 and the second by 5:

(3x - 4)(5x + 2) = 0

Expanding the brackets:

15x^2 + 6x - 20x - 8 = 0

15x^2 - 14x - 8 = 0.


Related Questions

Jade buys a blouse and a skirt for 3/6 of their original price. Jade pays a total of $31 for the two items. If the original price of the blouse is $18, what is the original price of the skirt? Write an equation to represent the situation and use the Distributive Property to solve

Answers

Answer:

3/4 times 18= 13.5

31.5-13.5=18  

It cost 18 dollars for the skirt with a discount.

It cost 13.5 for the blouse as opposed to the original price of 18 dollars.

18(skirt)+13.5(blouse)=31.5

If you set up a proportion to find the original price of the skirt you will get the answer.  

18/x=75/100

75x=18 times 100

75x=1800

75x/75=1800/75

x=24  

The original price of the skirt is 24 dollars.

Step-by-step explanation:

8g - 24d please help!

Answers

Answer:

-16

Step-by-step explanation:

The three lines represent the amount of water, over time, in three tanks that are the same size. Which tank is filling most quickly? Choose 1 answer

Tank A
Tank B
Tank C

Answers

Answer:

Tank A

Step-by-step explanation:

If the lines goes accross each tank the first tank would fill up first then the next one and it keeps going.

Hope this helps!

Answer:

Tank A

Step-by-step explanation:

The tank that fills fastest will have the steepest line graphed. The steepest line is the graph for Tank A. Tank A fills the most in the least amount of time, so this is the answer.

I hope this helps :) Good luck ^^

Billy worked for 38 hours last week. His boss gave him $361 for his work
last week. Write AND solve a multiplication equation to find how much
money Billy makes per hour of work.

Answers

Billy makes $9.50 per hour at work. The equation for Billy’s wage is y=9.5x, where y is Billy’s money and x is how many hours Billy works.

What is the slope of line 3x - y = 18

Answers

Answer:

ok do 3 times whatever to make 18 so the answer is probly 6y

Step-by-step explanation:

Can someone please help me with math.

Answers

It should be B and A

have you ever looked more to look further to even think to do more?

Answers

Answer:

wait what does that mean I don't get it

have a good day :)

Step-by-step explanation:

WILL GIVE BRAINLIST Please help

Answers

Sample Answer:

Both prisms are equal in volume, with it being 30 in^3. Although the triangle prism has a length of twice as much, this is countered by the formula for a triangular prism which requires for it to be divided by 2, where this is not present within the formula for a rectangular prism.

Step-by-step explanation:

For this, just pretend that h=1 to make the math easier. So the rectangular prism has a cross section that is 6 by 5 inches, so that will be its L & W.

The triangular prism has a cross section that is a 12 inch base times a 5 inch interior height, this will give the triangle's length and height respectively In this case, h will be its width, making the Base of the triangle which is Length * Width. Think of it like flipping over this prism, making the side facing you and make it the bottom of the prism.

Now, with the formulas for volume of the prisms:

Rectangular: L * W * H

Triangle: (L*W * H) / 2

Then just plug in the numbers:

Rectangular Prism:

L * H * H

6 * 5 * 1

30 * 1

30

Triangle Prism:

(12 * 5 * 1) / 2

60 / 2

30

They are equal to each other.

a dog is leashed to the corner of a house. how much running area does the dog have? 40 ft

Answers

Answer:

5027.2ft^2

Step-by-step explanation:

Given data

Radius= 40ft

The expression for the area covered is given as

A= πr^2

Substitute

A= 3.142*40^2

A=3.142*1600

A=5027.2ft^2

Hence the area covered is 5027.2ft^2

The two-way frequency table below shows data on mindset and attendance at practice for students in Mateus's study.
Complete the following two-way table of column relative frequencies.
(If necessary, round your answers to the nearest hundredth.)
Growth mindset Fixed mindset
Attended every practice 28 12
Missed at least 1 practice 9 58

Answers

Answer:

First table

28 + 9 = 37

12 + 58 = 70

Answer table

28/37 = 0.76

12/70 = 0.17

9/37 = 0.24

58/70 = 0:83

Step-by-step explanation:

PLEASE HELP!

What is the equation of the directrix
for the following parabola:
(x - 1)^2 = 12(y + 2)
A. Y = -5
B. X = -5
C. y = -3
D. y = -12

Answers

Answer:

y=-5

Step-by-step explanation:

The temperature in Michigan one night was -12°F. By
morning the temperature rose 8°F. What was the
temperature that morning?

Answers

The morning the temp was -4 degrees F

Answer:

-4 degrees F

Step-by-step explanation: So the temperature was -12F add 8F that gets you to -4F. It rose 8F.

Hows the weather today..?

Answers

Answer:

good

Step-by-step explanation:

Find the measures of an exterior angle and an interior angle given the number of sides of each regular polygon.

Round to the nearest tenth, if necessary.

Answers

Answer:

[tex]\theta = 25.7^\circ[/tex] --- Measure of each exterior angle

[tex]\theta = 154.3^\circ[/tex] --- Measure of each interior angle

Step-by-step explanation:

Given [Missing from the question]

[tex]n = 14[/tex] --- number of sides

Required

- The measure of an exterior angle

- The measure of an interior angle

For an n-sided polygon, the measure of each exterior angle is:

[tex]\theta = \frac{360}{n}[/tex]

Substitute 14 for n

[tex]\theta = \frac{360}{14}[/tex]

[tex]\theta = 25.7^\circ[/tex]

For an n-sided polygon, the measure of each interior angle is:

[tex]\theta = \frac{(n - 2) * 180}{n}[/tex]

Substitute 14 for n

[tex]\theta = \frac{(14 - 2) * 180}{14}[/tex]

[tex]\theta = \frac{12 * 180}{14}[/tex]

[tex]\theta = \frac{2160}{14}[/tex]

[tex]\theta = 154.3^\circ[/tex]

3. For g(x)=5 and h(x)=2x, find lim (g(x)*h(x))

4. Find G(x)= X-10 And H(x)= 2x, Find ) G(x) = X-10 H(x) = 2x, Lim Lim C-3 C-2 2

Answers

Answer:

3. B 10a

4. D 3

Step-by-step explanation:

the value of function lim (g(x)*h(x)) will be 10 a.

What is Function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.

Given, For g(x)=5 and h(x)=2x

[tex]\lim_{x \to \ a }(g(x)*h(x))[/tex]

=> lim (5 * 2x)

=> lim 10x

=> 10a

for  G(x)= X-10 And H(x)= 2x,

g(x)/ h(x) = (x - 10)/2x

[tex]\lim_{x \to \ -2} g(x)/ h(x)[/tex]

=> (-2- 10)/-4

=> 3

therefore, the value of function lim (g(x)*h(x)) will be 10 a.

Learn more about function here:

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ASAP
-will mark brianist

Answers

Answer:

20-12

35-21

40-24

Step-by-step explanation:

You times both numbers by the same value

Answer:

1st is 12

2nd is 35

3rd is 40

Step-by-step explanation:

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 out the time at which the rocket will reach its max, to the nearest 100th of a second.
y=-16x^2+174x+78
equation

Answers

Answer:

551.06feet

Step-by-step explanation:

Given the equation

y=-16x^2+174x+78

At maximum height, dy/dx = 0

dy/dx = -32x + 174

0 = -32x+174

32x = 174

x = 174/32

x = 5.4375

GEt the maximum height

y=-16x^2+174x+78

y=-16(5.4375)^2+174(5.4375)+78

y = -473.0625 + 946.125 + 78

y = 551.0625

Hence the maximum height is 551.06feet to the nearest hundredth

In the diagram below of triangle NOPNOP, QQ is the midpoint of \overline{NP}
NP
and RR is the midpoint of \overline{OP}
OP
. If m\angle PON=-5x+171∠PON=−5x+171, and m\angle PRQ=-9x+207∠PRQ=−9x+207, what is the measure of \angle PON∠PON?
N

Answers

Answer:

126 degrees

Step-by-step explanation:

if 5/7y=105,what is the value of y​

Answers

Answer:

look at the picture i sent......

In order to add 1 ⁄ 4 and 2 ⁄ 5, the denominators have to be the same. This means multiplying both the numerator and denominator of each fraction by the opposite fraction's denominator.

1 ⁄ 4 + 2 ⁄ 5

( 1 ⁄ 4 × 5 ⁄ 5 ) + ( 2 ⁄ 5 × 4 ⁄ 4 )

(1 × 5)/(4 × 5) + (2 × 4)/(5 × 4)

5 ⁄ 20 + 8 ⁄ 20 = 13 ⁄ 20

1/3 + 3/8 =

Answers

Answer:

1/3 + 3/8 = 17/24

Step-by-step explanation:

LCD is 24

3*8 = 24

8*3 = 24

3/24 + 9/24 = 17/24

What are factors of 72 that add to be -18?

Answers

Answer:

-12 and -6

Step-by-step explanation:

Ayúdeme es urgente .por favor

Answers

La respuesta es D


Hope is helpful

how do you use change of base formula​

Answers

Answer:

According to the change-of-base formula, we can rewrite the log base 2 as a logarithm of any other base. Since our calculators can evaluate the natural log, we might choose to use the natural logarithm, which is the log base e.

Step-by-step explanation:

Identify the following as a radius or diameter and its length. segment EB

Answers

Given:

The diagram of a circle.

To find:

The radius or diameter and its length, segment EB.

Solution:

If a line segment connects the center of a circle and a point on the circumference of the circle, then the line segment is known as radius.

In the given figure A is the center of the circle and points B, C, E, D are on the circumference of the circle.

So, AB, AC, AE, AD are radii of the given circle.

[tex]AB=AC=AE=AD=4\text{ cm}[/tex]

If a line segment connects two points on the  circumference and passes through the center of the circle, then the line segment is known as diameter of the circle.

In the given figure B and E are two points on the circumference of the circle and the segment BE  passes through the center A. So, BE is the diameter of the circle.

Length of the diameter is:

[tex]EB=AE+AB[/tex]

[tex]BE=4+4[/tex]

[tex]BE=8[/tex]

Therefore, the segment EB is a diameter and length of the segment EB is 8 cm.

A group of students stood in a circle to play a
game. The circle had a diameter of 22 meters.
Which measurement is closest to the area of the
circle in meters ?

Answers

Answer: Choice C)  379.94 square meters

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

Work Shown:

Diameter = 22 meters

Radius = 11 meters (half the diameter)

We'll plug r = 11 into the formula below

A = pi*r^2

A = 3.14*11^2

A = 379.94

This value is approximate since pi = 3.14 is approximate. Use more decimal digits of pi to get a more accurate area value.

What is the volume of a sphere with a radius of 6.6 cm, rounded to the nearest tenth of a cubic centimeter?

Answers

Volume is a three-dimensional scalar quantity. The volume of a sphere with a radius of 6.6 cm, rounded to the nearest tenth of a cubic centimeter is 1204.3.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of a sphere is given by the formula (4/3)πR³, where R is the radius of the circle. Since the radius of the sphere is 6.6 cm, the volume of the sphere will be,

Volume of Sphere = (4/3) × π × (6.6cm)³ = 1204.26 cm³ ≈ 1204.3³

Hence, the volume of a sphere with a radius of 6.6 cm, rounded to the nearest tenth of a cubic centimeter is 1204.3.

Learn more about Volume:

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how would u read the expression 2*3​

Answers

it is 2 multiplied by 3

Which angles are supplementary angles?

Answers

Answer:

Supplementary angles are two angles with a sum of 18 0 ∘ 180 ^\circ 180∘ . A common case is when they lie on the same side of a straight line.

Answer - KJM and KJH

If i'm wrong please tell me

Question 8 of 10
In a normal distribution, what percentage of the data falls within 3 standard
deviations of the mean?
O A. 34%
O B. 68%
O c. 99.7%
O D. 95%

Answers

Using the Empirical Rule, it is found that the percentage within 3 standard deviations of the mean in the Normal distribution is given by:

c. 99.7%.

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of  the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Hence, option C is correct.

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Inverse Functions, graphs

Answers

Answer:

a.

inverse

of

(0,1)=(1,0)

(1,0)=(0,1)

(2,-1)=(-1,2)

(3,0)=(0,3)

(4,1)=(1,4)

Step-by-step explanation:

b.

yes the function are inverse

as

(-1,2)=(2,-1)

(0,1)=(1,0)

Take any one point .

(-2,-1)

For inverse

(x,y) should be (y,-x)

Apply

(-(-2),-1)(-1,2)

Yes the functions are inverses of each other

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