Instructions: Fill in the last step of solving the quadratic equation by factoring. 3x2−2x−5=0 Step 1: Rewrite middle term. 3x2−5x+3x−5=0 Step 2: Group terms together and find GCF. (3x2−5x)+(3x−5)=0 x(3x−5)+1(3x−5)=0 (3x−5)(x+1)=0 Step 3: Apply the Zero Product Property. 3x−5=0 or x+1=0 Step 4: Solve. x= or x=

Answers

Answer 1

Answer:

x = (5/3)

x = -1

Step-by-step explanation:

[tex]3x^2 -2x - 5 =0\\\\(3x^2+3x) + (-5x - 5) = 0\\\\(3x-5)(x+1)=0\\\\\left \{ {{3x-5=0} \atop {x+1=0}} \right.\\\\===========\\\\3x - 5 = 0\\\\3x - 5 + 5 = 0 + 5\\\\3x = 5\\\\\frac{3x=5}{3}\\\\x = \frac{5}{3}\\\\===========\\\\x + 1 = 0\\\\x + 1 - 1 = 0 - 1\\\\x = -1 \\\\===========\\\\\boxed{\text{Therefore:}}\\\\\boxed{ x = \frac{5}{3} \text { or } x = -1}[/tex]

You would just need to solve the two equations from step three for 'x'.

Hope this helps you.


Related Questions

i know it’s kinda all hard to see. i have many more questions like this and i can’t do graphs to save my life.. pls help !!

Answers

Answer: D

Step-by-step explanation:

Write an equation of a line containing a point (5, 5) and is perpendicular to
the line passing through (5, 3) and (10, 6).
A) X/4 + 3y = 10
B) -5 X + 3 Y = 40
C) 5x + 3 Y= 40
D) X + y = 0

Answers

Answer is D

Explain 729:33(-2)

Resuelve el siguiente problema un buzo en una laguna decendio 8m en una hora.Si cada hora bojo la misma cantidad de metros, ¿cuantos metros bojo en 4 horas

Answers

Answer:

X = 32 meters.

Step-by-step explanation:

Let the unknown distance be X.

Given the following data;

Distance = 8 meters per hourTime = 4 hours

To find how many meters he would cover in four hours;

1 hour = 8 meters

4 hours = X meters

Cross-multiplying, we have;

X = 8 * 4

X = 32 meters.

The probability that Dan buys a sandwich is 0.2.
The probability that Dan gets the bus is 0.9.
Assuming the events are independent, what is the probability that Dan buys a sandwich
and gets the bus?

Answers

Answer:

0.18

Step-by-step explanation:

Find the probability that both independent events occur by multiplying the individual probabilities by each other:

0.2(0.9)

= 0.18

So, the probability is 0.18

Prove that the circumcenter of a triangle is equidistant from its vertices.

Answers

Answer:

Step-by-step explanation:

The circumcenter is equidistant from the three vertices of the triangle. From the figure shown, we will prove DA = DB = DC. 2) DA = DB, DC = DB(If a point is on the perp. bisector of a segment, it is equidistant from each endpoint of the segment.)

Which situation does the graph illustrate?

Answers

Answer:

eju 48, 23w6yuw43wdgn

Step-by-step explanation:

Ecuación de la hipérbola con centro en (0;0), focos en abrir paréntesis 0 coma espacio menos raíz cuadrada de 28 cerrar paréntesis espacio y espacio abrir paréntesis 0 coma espacio raíz cuadrada de 28 cerrar paréntesis espacio ,eje conjugado = 2 raíz cuadrada de 3

Answers

Answer:

[tex]\frac{y^{2}}{25}-\frac{x^{2}}{3}=1[/tex]

Step-by-step explanation:

Para resolver este problema debemos tomar en cuenta los datos que nos dan y la ecuación de una hipérbola. Comencemos con los datos:

centro: (0,0)

focos: [tex](0,-\sqrt{28}),(0,\sqrt{28})[/tex]

eje conjugado = [tex]2\sqrt{3}[/tex]

por los focos podemos ver que la hipérbola se dirige hacia el eje y, por lo que debemos tomar la siguiente forma de la ecuación de la parábola:

[tex]\frac{y^{2}}{a^{2}}+\frac{x^{2}}{b^{2}}=1[/tex]

de los focos podemos obtener que:

[tex]c=\sqrt{28}[/tex]

y del eje conjugado podemos saber que al dividir la longitud del eje conjugado dentro de 2 obtenemos b, así que:

[tex]b=\sqrt{3}[/tex]

podemos utilizar la siguiente fórmula para obtener a:

[tex]c^{2}-a^{2}=b^{2}[/tex]

si despejamos a en la ecuación obtenemos lo siguiente:

[tex]a=\sqrt{c^{2}-b^{2}}[/tex]

ahora podemos sustituir los valores:

[tex]a=\sqrt{(\sqrt{28})^{2}-(\sqrt{3})^{2}}[/tex]

[tex]a=\sqrt{28-3}[/tex]

[tex]a=\sqrt{25}[/tex]

a=5

así que media vez conozcamos a, podemos sustituir los datos en la ecuación de la hipérbola así que obtenemos lo siguiente:

[tex]\frac{y^{2}}{a^{2}}+\frac{x^{2}}{b^{2}}=1[/tex]

[tex]\frac{y^{2}}{(5)^{2}}+\frac{x^{2}}{(\sqrt{3})^{2}}=1[/tex]

[tex]\frac{y^{2}}{25}+\frac{x^{2}}{3}=1[/tex]

si graficamos la hipérbola, queda como en el documento adjunto.

The length of a rectangle is three times the width. The area of the rectangle is 108 sq. inches what’s the triangles width?

Answers

Answer:ÑÑÑÑÑÑÑÑÑññÑÑÑÑññññññÑÑÑÑÑÑÑÑÑñÑÑÑÑññ

Step-by-step explanation:

One of the legs of a right triangle measures 9 cm and its hypotenuse measures 16 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer:

13.2 cm

Step-by-step explanation:

using the Pythagorean theorem, we can find the length of the other leg, since this is a right triangle. The equation is a^2 + b^2 = c^2, A and B being the legs and C being the hypotenuse. Since we are finding the other leg, we can switch the equation around to find A/B instead. (A/B being the legs). so we get: B^2 = C^2 - A^2 ; then we simplify [tex]b=\sqrt{c^2-a^2}[/tex]

We plug in the numbers given:

[tex]b = \sqrt{16^2-9^2}\\b=\sqrt{256-81}\\b=\sqrt{175} \\b= 13.229[/tex]

rounded to nearest tenth: 13.2

The measure of the other leg in the right triangle is 13.22 cm.

What is a right triangle?

A triangle with one angle measuring 90° is called a right triangle.

Given that, a right triangle has a leg measuring 9 cm and its hypotenuse is 16 cm longs, we need to find the other side,

So, using the Pythagoras theorem,

16² = 9² + x²

x = √256-81

x = √175

x = 13.22

Hence, the measure of the other leg in the right triangle is 13.22 cm.

Learn more about right triangle click;

https://brainly.com/question/6322314

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This is a graph of the function g(x) =-3x+2. Determine the domain value when th
range value is -4.

Answers

Range = -4= g(x)

Therefore, g(x) = -3x+2

or, -4=3x +2

or, 3x= -4-2

or, 3x= -6

or, x= -6/3 = -2

OPTION A is the correct answer.

When the range value is -4 for the function g(x) = -3x + 2, the corresponding domain value is x = 2.

To find the domain value when the range value is -4 for the function

g(x) = -3x + 2, we need to solve for x when g(x) = -4.

Given: g(x) = -3x + 2

When the range value is -4, we have:

-3x + 2 = -4

Now, isolate x:

-3x = -4 - 2

-3x = -6

Now, divide by -3 to solve for x:

x = -6 / -3

x = 2

So, when the range value is -4 for the function g(x) = -3x + 2, the corresponding domain value is x = 2.

To know more about range:

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What is the value of X?​

Answers

Answer:

x=2

Step-by-step explanation:

A line that intersects a circle in two points is called a secant line, and this is the case for both line DE and AE.

For two secant lines that intersect outside of the circle, such as the ones here, we can say that

CE * DE = BE * AE

Therefore, we need to then define these lines.

CE is x+4, BE is x+1, AE = (BE + AB) = 11+x+1 = 12+x, and DE = (CE + DC) = 1+x+4 = 5+x

We then have

(x+4) * (5+x) = (x+1) * (12+x)

expand

5x + x² + 20 + 4x = 12x+x²+12+x

x²+9x + 20 = x²+13x+12

Next, we want to congregate all values to one side so we can solve for x. This can be done by subtracting both sides by (x²+13x+12) to get

-4x + 8 = 0

subtract 8 from both sides to isolate the x and its coefficient

-4x = -8

divide both sides by -4 to isolate the x

x = 2

Answer: A

Explanation: I just took a test on it

The range of cells in column D and rows 1 to 10 is represented as:

1:10 D1:D10 D:D

Answers

Answer:

how?

Step-by-step explanation:

I didnt get question

Solve the equation 2sin x cos x = cos x, for 0° < x≤ 90°​

Answers

Answer:

2sinx.Cosx=cosx

2sin90°.cos90°=cos90°

2×1.0=0

0=0

On a pie chart, a category representing 20% of the whole should correspond to a central angle of 20°.

Answers

Answer:

No! 20% does not correspond to a central angle 20°.

Step-by-step explanation:

The central angle for pie chart is 360°.

So, a category represents 20% is 20%(360) for central angle.

Let's simplify it to get the angle,

[tex]\frac{20}{100} * 360[/tex]

Simplify it,

72°

So, 20% does not correspond to a central angle 20°.

Which of the following is the correct factorization of the polynomial below?
x3 + 10x2 + 25x
A. x(x + 5)(x - 5)
B. (x2 + 2x - 5)(x-10)
C. (x2 + 5x - 2)(x-10)
D. x(x + 5)2

Answers

Answer:

x(x+5)^2

Step-by-step explanation:

x^3 + 10x^2 + 25x

Factor out x

x(x^2+10x+25)

What 2 numbers multiply to 25 and add to 10

5*5 = 25

5+5 =10

x(x+5)(x+5)

x(x+5)^2

Answer:

D

Step-by-step explanation:

Given

x³ + 10x² + 25x ← factor out x from each term

= x(x² + 10x + 25) ← perfect square

= x(x + 5)²

Suppose the line y = 2.8333x - 22.4967 describes the relation between the​ club-head speed​ (in miles per​ hour), x and the distance a golf ball travels​ (in yards), y.

(a) Predict the distance a golf ball will travel if the club-head speed is 100 mph.

(b) Suppose the observed distance a golf ball traveled when the club-head speed was 100 mph was 265 yards. What is the residual?

(c) The golf ball will travel 260.8 yards. (Round to the nearest tenth as needed.)

(d) The residual is:_________ (Round to the nearest tenth as needed.)

Answers

Answer:

c) The golf ball will travel 260.8 yards.

d) Hence the residual is 4.2 yards.

Step-by-step explanation:

c) y' = 2.8333x - 22.4967

Now the golf ball will travel [tex]= 2.8333\times100 - 22.4967[/tex]= 260.8 yards

here y'= 260.8 yards.

d) The residual is : y - y' = 265 - 260.8 = 4.2 yards.

Answer:

a)  [tex]y=260.8333~yd[/tex]

b) [tex]\Delta d=4.1667~yd[/tex]

c) [tex]y=260~yd[/tex]

d) [tex]\Delta y'=0.8333~yd[/tex]

Step-by-step explanation:

Given:

equation of line, [tex]y=2.8333x-22.4967[/tex]

x = club-head speed​ (in miles per​ hour)

y = the distance a golf ball travels​ (in yards)

a)

x = 100 mph

Then the distance travelled by the ball:

(put the given value of x in the above eq.)

[tex]y=2.8333\times 100-22.4967[/tex]

[tex]y=260.8333~yd[/tex]

b)

If the observed distance in the above case comes out to be 265 yards then the residual value will be:

[tex]\Delta d=265-260.8333[/tex]

[tex]\Delta d=4.1667~yd[/tex]

c)

From the calculated value when rounding it to the nearest tenth:

[tex]y=260~yd[/tex]

d)

The residual on rounding the calculated value to the nearest tenth:

[tex]\Delta y'=260.8333-260[/tex]

[tex]\Delta y'=0.8333~yd[/tex]

Brooke and Lamont ran a half marathon Brooke finished in 1 hour 50 minutes Lamont finished in 100 minutes who had the faster time​

Answers

Answer:

Brooke = 1 hr 50 min

Lamont = 100 min = 1 hr 40 min

Because 60 min = 1 hr

Lamont was faster

Hope this helped


A tanker company has
transported 3.788 x 107 tons
of pineapples during its first
ten years of operation and
expects that total amount to
increase by 25% during the
next ten years.
Which measure
represents the total number of
tons of pineapples that the
company expects to transport
during the next ten years?
A 28.788 X 107 tons
B 9.47 x 106 tons
C 4.735 X 107 tons
D 4.038 X 107 tons

Answers

Answer:

c

Step-by-step explanation:

107 x 3.778 x 125/100 = 4.735 x 1-7

nolan uses 7 inches of string to make each bracelet. if nolan makes 3 bracelets, how many inches of string will he use?

Answers

Answer:

21 inches

Step-by-step explanation:

We can write a ratio to solve

7 inches        x inches

-------------  = -------------------

1 bracelet      3 bracelets

Using cross products

7*3 = 1x

21 = x

21 inches

Answer:

21 inches

Step-by-step

This can be solved two ways: addition or multiplication.

Addition: Since there are three bracelets you could add 7 three times

                 7+7+7

             = 14+7

             = 21

Multiplication: Simply multiply 7 x 3= 21

As displayed on a production possibilities curve, what will an increase in technology allow a society to do? a. Produce more, as long as the resources are also available. c. It will not affect society’s production. b. Produce less, because more resources are spent on developing technology. d. The society will spend more on the same level of production. Please select the best answer from the choices provided A

Answers

Answer:

a. Produce more, as long as the resources are also available

Step-by-step explanation:

from brainly itself

scouteo

Ace

The correct answer is A) produce more, as long as the resources are also available.

As displayed on a production possibilities curve, an increase in technology will allow a society to produce more, as long as the resources are also available.

A production possibilities graph is a valid representation of the available ways an economy is able to use the resources. In this case, an increase in technology will allow a society to produce more, as long as the resources are also available means that as long there are enough resources in the market, technology in a country helps with the production of more things to be consumed or traded.  

help please summer school sucks!!!

Answers

Answer:

X =30

Step-by-step explanation:

= 60+90

=150

angle sum property

x+150=180

x=180- 150

x= 30

Answer:

Step-by-step explanation:

90 + 60 = 150

(right angles = 90)

There is 180 degrees in a triangle, therefore,

180 - 150 = 30

Therefore, x = 30

p.s. Are you good at history?

p.p.s I dont like summer school either =)

Please help ASAP!!!
What is m

Answers

Answer:

∡A  =115°

as for your question ... m is asking for the  "m" (measure) of angle A

Step-by-step explanation:

Answer:

∠ A = 118°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

3x + 13 + x - 8 + x = 180, that is

5x + 5 = 180 ( subtract 5 from both sides )

5x = 175 ( divide both sides by 5 )

x = 35

Then

∠ A = 3x + 13 = 3(35) + 13 = 105 + 13 = 118°

Linear equation: -1
2
(6x + 10) = 13

Step 1: –3x – 5 = 13

Step 2: –3x = 18

Step 3: x = –6

Which sequence describes the inverse operations used for steps 2 and 3 to solve the linear equation?

Answers

Answer:

see below

Step-by-step explanation:

-1/2 * (6x + 10) = 13

Distribute -1/2

–3x – 5 = 13

Add 5 to each side

-3x-5+5 = 13+5

–3x = 18

Divide each side by -3

-3x/-3 = 18/-3

x = -6

Edwin hiked to a famous point with a beautiful view. It took 2 hours and 55 minutes to hike to the viewpoint and 25 minutes to hike back. Edwin spent 25 minutes enjoying the view at the top. He finished the hike at 11:45 A.M. What time did Edwin start the hike to the viewpoint?

Answers

Answer:

= 8:00 A.M.

Step-by-step explanation:

▪You first find the total time taken which will be :

2 hrs 55 min + 25 min

= 3 hrs 20 min + 25 min

= 3 hrs 45min

▪ Beginning time = Arrival time - Time taken

= 11:45 - 3:45

= 8:00 am

¿

What is the value of c in the interval (5,8) guaranteed by Rolle's Theorem for the function g(x)=−7x3+91x2−280x−9? Note that g(5)=g(8)=−9. (Do not include "c=" in your answer.)

Answers

Answer:

[tex]\displaystyle c = \frac{20}{3}[/tex]

Step-by-step explanation:

According to Rolle's Theorem, if f(a) = f(b) in an interval [a, b], then there must exist at least one c within (a, b) such that f'(c) = 0.

We are given that g(5) = g(8) = -9. Then according to Rolle's Theorem, there must be a c in (5, 8) such that g'(c) = 0.

So, differentiate the function. We can take the derivative of both sides with respect to x:

[tex]\displaystyle g'(x) = \frac{d}{dx}\left[ -7x^3 +91x^2 -280x - 9\right][/tex]

Differentiate:

[tex]g'(x) = -21x^2+182x-280[/tex]

Let g'(x) = 0:

[tex]0 = -21x^2+182x-280[/tex]

Solve for x. First, divide everything by negative seven:

[tex]0=3x^2-26x+40[/tex]

Factor:

[tex]0=(x-2)(3x-20)[/tex]

Zero Product Property:

[tex]x-2=0 \text{ or } 3x-20=0[/tex]

Solve for each case. Hence:

[tex]\displaystyle x=2 \text{ or } x = \frac{20}{3}[/tex]

Since the first solution is not within our interval, we can ignore it.

Therefore:

[tex]\displaystyle c = \frac{20}{3}[/tex]

what is 8/9 divided 2/3

Answers

Answer:

4/3

Step-by-step explanation:

8/9 ÷ 2/3

Copy dot flip

8/9 * 3/2

Rewriting

8/2 * 3/9

4 * 1/3

4/3

Help pleas like please ASAP

Answers

Answer:

(x+9)(x+5)

Step-by-step explanation:

find 2 numbers that add to 14 and multiply to 45

X+9 x+5 hope that helped

Help Please!!!
Find the volume of the sphere

Answers

Answer:

523.6

Step-by-step explanation:

Not sure how to explain •-•

Hope it helps c:

Answer: use formula pi r^3

3.14 × 5 x 5 x 5 x 4 ÷ 3

Step-by-step explanation:

ASAP PLEASE HELPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEE

Answers

Answer:

-2/5 is the answer

I hope this will help you

Answer:

-2/5

Step-by-step explanation:

Just add the top numerator together -4 + 2 = -2

please help me out (geometry)

Answers

Answer:

x = 15

Step-by-step explanation:

2x+10+4x+80=180

or, 2x+4x=180-80-10

or, 6x=90

or, x=15

Answered by GAUTHMATH

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