Tony is trying to find the solutions to the quadratic equation 3x2 + 24x - 15 = 0 by factoring and
has come to you for help. Explain why Tony would need to use a method other than factoring to find
the solutions to this equation.
DO NOT SOLVE and be specific in your explanation.
В І у
0 / 1000 Word

Answers

Answer 1

Answer:

You would either need to complete the square, use the quadratic equation, or another method because when reduced by the common factor, the constant term c is prime which means that it is only divisible by one and itself. Because the possible rational factors determined by c do not add up to the b term, it cannot be factored.

Explanation:

3x² + 24x - 15 = 0

3(x² + 8x - 5) = 0

[find the greatest common factor between each term and move the coefficient outside of the expression; in this case it's 3 since 3 fits into numbers 3, 24, and -15 so that it cannot be reduced further]

Then you can either use the box or pq method (since a is 1) to find working factors.

x² + bx + c → (x + p)(x + q).

p + q = b.

pq = c.

In this case with 3(x² + 8x - 5), b is 8 and c is -5.

This means we need two numbers that add up to 8 and multiply to -5.

Since -5 is prime, our only options are ±1 for p and ∓5 for q. This is because these are the only factors which multiply to -5.

1 + -5 = -4 ≠ 8

-1 + 5 = 4 ≠ 8.

Since we cannot find rational solutions, this cannot be factored, and so we must use another method.


Related Questions

Write the statements 1/3t + 12

Answers

Answer: t/3+12

Step-by-step explanation:

Navy’s Works At A Cell phone Store Monday To friday . She Earns $80 Per day plus $8 per Phone Sold . On tuesday , Nayva Makes at least $176 . Which Number Line Could be used to show the number of phones Navya Sold By The end Of her Shift On Tuesday
Answer Choices

Answers

Answer:

D.

Step-by-step explanation:

If She earns 80$ PER day + 8$ per phone sold and makes AT LEAST 176$ on Tuesday, You need to figure out how many phones she has sold by Tuesday.

Okay so now you need to set up your problem.

8x + 80 ≥ 176

Take away the 80, then take 80 from 176.

176 - 80 = 96

96 ÷ 8

x ≥ 12

PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

bndflvb

Step-by-step explanation:

can somebody help me with this

Answers

Answer:

[tex]y = -x^2+3x+4[/tex]

Step-by-step explanation:

( -1, 0) , (0, 4) , (4, 0)

y = a(x − b)(x − c)

x-intercept = -1

x = -1

(x + 1) = 0

x-intercept = 4

x = 4

(x - 4) = 0

y = (x + 1)(x - 4)

4 = a(0 + 1)(0 - 4)

4 = a (1)(-4)

4 = -4a

a = -1

y = -1(x + 1)(x - 4)

[tex]y = -x^2+3x+4[/tex]

1/4 divided by 5 explain how you do it

Answers

Answer: It would be 0.05 because it’s just simple math, I just learned this today at school.

I mean I think it’s simple math

Step-by-step explanation:

Harper you have a Great Day or Night, and also I hope it was helpful!!! : )

what is the answer to y=-2/3+b

Answers

Answer:

it is B

Step-by-step explanation:

A complex shape with measurements 6 inches, 5 inches, 4 inches, 3 inches, 4 inches, 2 inches, 6 inches, 10 inches.
What is the perimeter of the shape?

30 inches
40 inches
60 inches
72 inches

Answers

The answer is 40,you just add them all together to get it

Answer:

40 B

Step-by-step explanation:

edge 2021

Will mark Brainliest. Please answer questions 9-14 :)

Answers

Hold on make a bigger pic

Class A had 33 students and class B had 21 students. A number of students were moved from class A to class B so the classes now have the same number of students. Write the equation and solve for how many students were moved.​

Answers

Answer:

i think its 12.12 kids got moved

Step-by-step explanation:

i just subtracted 33 - 21 = 12...

Help&EXPLAIN

What is the volume of a triangular pyramid that is 6 inches tall and has a base area of 7 square inches ?

Answers

Step-by-step explanation:

answer is 14 in ^3 . hope u get it

Find the least common denominator of 11/10 and 1/6

Answers

11 and 10 is 110. For 1 and 6 it is 24. Hope this helps.

Joe has $70 in a savings account. The interest rate is 10% per year and is not compounded,
How much interest will he earn in 4 years?
Use the formula i = prt, where / is the interest earned, p is the principal (starting amount),
is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

$28

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 10%/100 = 0.1 per year,

then, solving our equation

I = 70 × 0.1 × 4 = 28

I = $ 28.00

The simple interest accumulated

on a principal of $ 70.00

at a rate of 10% per year

for 4 years is $ 28.00.

Work out the surface area of this cylinder.
12 cm
35 cm

Answers

Answer:

The surface area of this cylinder is 3545 cm²

∵ π =

∴ The lateral area = 24 × × 35.

∴ The area of the base = × (12)² = (144) = 452 cm²

∴ The surface area = 2640 + 2(452 ) = 3545 cm²

∴ The surface area of this cylinder is 3545 cm²

Step-by-step explanation:

Hope it is helpful.....

Sam finished 5/6 of his homework, John finished 3/4 of his homework, and Tom finished 10/12 of his homework. Which two students finished the same amount of homework?​

Answers

Answer:

Sam and Tom

Step-by-step explanation:

5 × 2= 10

6 × 2= 12

5/6= 10/12

Panchito discovered the summer’s most refreshing beverage by mixing a 80% cranberry juice with a 4% of orange juice. How much of each should he mix together to make 190 ml of a 60% cranberry-orange juice blend

Answers

Answer:

Quantity of  cranberry juice = 95  ml  

Quantity of  orange   juice = 95  ml

Step-by-step explanation:

Step 1

Given ,

We have  80% cranberry juice and  4% of  orange juice.

We have to find how much each should be mixed to make 190 ml of a  60% cranberry-orange juice blend.

Step 2

Let's assume

Quantity of  cranberry juice =x ml  

Quantity of  orange   juice =y  ml  

Then,

x + y = 190

and

x×80100 +y×4100 = 190×60100  

⇒ 0.8x+0.4y = 114    

⇒ 2x+y = 285  

⇒ y = 285−2x  

Step 3

Substituting   y = 285−2x  in  x + y = 190  

⇒ x+285−2x = 190  

⇒ −x = 190−285  

⇒ −x = −95  

⇒ x = 95  ml  

Substituting x = 95   in  x + y = 190

⇒ 95 + y = 190  

⇒ y = 190−95  

⇒ y = 95 ml  

So,

Quantity of  cranberry juice =95  ml  

Quantity of  orange   juice = 95  ml  

2.386 rounded to the nearest tenth

Answers

Answer:

Los números decimales son una combinación de números enteros y números que se encuentran entre los números enteros. A veces es importante poder comparar decimales para saber cuál es mayor. Por ejemplo, si alguien corrió los 100 metros planos en 10.57 segundos, y alguien más los corrió en 10.67 segundos, puedes comparar los decimales para determinar qué tiempo es más rápido. Saber cómo comparar decimales requiere el entendimiento del valor de posición decimal, y es similar a comprar números enteros.

 

Cuando trabajamos con decimales, hay veces que no se necesita un número preciso. En tal caso, es útil redondear números decimales. Por ejemplo, si la bomba de una gasolinera muestra que llenaste el tanque del carro de un amigo con 16.478 galones de gasolina, podrías querer redondear el número y decirle a tu amigo que le pusiste 16.5 galones.

Step-by-step explanation:

Otra forma de comparar decimales es comparar los dígitos en cada número, empezando con el lugar de posición mayor, que es el de la izquierda. Cuando un dígito en un número decimal es mayor que el dígito correspondiente en el otro número, entonces ése número decimal es mayor.

 

Por ejemplo, primero compara los dígitos de las décimas. Si son iguales, continúa con el lugar de las centésimas. Si esos dígitos no son iguales, el decimal con el dígito mayor es el número decimal mayor. Observa cómo se hace esto en los ejemplos siguientes.

What is the perimeter of the shape?
40 feet
43 feet
51 feet
67 feet

Answers

Answer:

201

Step-by-step explanation:

40+43+51+67=201

Answer:

its 40

Step-by-step explanation:

5 less than half a number, x

please help i will give you the brainliest answer

Answers

Answer: 1/2x -5

Step-by-step explanation:

Half of x , less 5. (5 less just means subtract)

Find the factor pairs of the following number: 70​

Answers

Answer:

70 = 7 x 5 x2 x 1. When asked to find out the total number of factors of 70, you have to write down all the multiples of 70 such as, Factors of 70 are: 1, 2, 5,7,14, 10, 35 and 70 = 8 factors.

6=2(y+2)
I. Don’t get it

Answers

Answer:

1

Step-by-step explanation:

6=2*y+4

6-4=2*y

2=2*y

y=2/2

y=1

Distance between the points (2,7) and (-2,-7)

Answers

Answer:

um isn't it (4,14)

Step-by-step explanation:

what is the area of the area of circle with a circumference of 12.56 feet?

Answers

Answer:12.56 square units

Step-by-step explanation:

C=2ttr

what are the solutions of this equation x^2-x-56=0

Answers

x = 8, -7
Have a good day :D

Answer:

x1=8    x2=-7

Step-by-step explanation:

(x-8)(x+7)

x1=8

x2=-7

1. Find the value of
sec Θ if tan Θ = -2 90° ≤ Θ ≤ 180°

a. - sqrt(5)
b. sqrt(5)
c. -5
d. 5

2. Find the value of cos Θ if sec Θ = s/3 270° ≤ Θ ≤ 360°

cos =

3. Find the value of
csc Θ of cos Θ = -3/5 180° ≤ Θ ≤ 270°
csc =

Answers

9514 1404 393

Answer:

-√53/5-4/5

Step-by-step explanation:

The relevant relations are ...

  sec = ±√(tan² +1)

  cos = 1/sec

  csc = 1/sin = ±1/√(1 -cos²)

Sine and Cosecant are positive in quadrants I and II. Cosine and Secant are positive in quadrants I and IV.

__

1. sec(θ) = -√((-2)² +1) = -√5

2. cos(θ) = 1/sec(θ) = 1/(5/3) = 3/5

3. csc(θ) = -1/√(1 -(-3/5)²) = -√(16/25) = -4/5

A report describes the results of a large survey that was conducted for the Center for Disease Control (CDC). The sample was selected in a way that the CDC believed would result in a sample that was representative of adult Americans. One question on the survey asked respondents if they had learned something new about a health issue or disease from a TV show in the previous 6 months. Data from the survey was used to estimate the following probabilities, where

L = outcome that a randomly selected adult American reports learning something new about a health issue or disease from a TV show in the previous 6 months
and
F = outcome that a randomly selected adult American is female
Data from the survey were used to estimate the following probabilities:

P(L)= 0.58 P(F)= 0.50 P(L and F)= 0.31

Are the outcomes L and F independent? Use probabilities to justify your answer.

Answers

Answer:

Since [tex]P(L \cap F) \neq P(L)P(F)[/tex], the outcomes L and F are not independent.

Step-by-step explanation:

Independent events:

Two events, A and B are independent, if:

[tex]P(A \cap B) = P(A)P(B)[/tex]

Are the outcomes L and F independent?

We are given that:

[tex]P(L \cap F) = 0.31[/tex]

Multiplication of the probabilities:

[tex]P(L)P(F) = 0.58*0.5 = 0.29[/tex]

Since [tex]P(L \cap F) \neq P(L)P(F)[/tex], the outcomes L and F are not independent.


Which car traveled the farthest on
1 gallon of gas? Show your work.

Answers

car c


explanation:
car A = 302 mi / 10 gal = 30.2 miles per gallon

car B = 174 mi / 5 gal = 34.8 miles per gallon

car C = 292 mi / 8 gal = 36.5 miles per gallon


so since car c had the highest unit that means it travelled the farthest per gallon.

-28 < 2x- 10 < -10

Please answer

Answers

(-9,0) is the x value

Answer:

-9<x<0

Step-by-step explanation:

-28 < 2x- 10 < -10 and  2x- 10 < -10

Find the interval of ;

-28< 2x- 10

The interval for this equation is;

x>-9

Find the interval of;

2x-10<-10

The interval for this equation is;

x<0

Combine the intervals;

x>-9 and x<0

Merge overlapping Intervals;

-9<x<0

Rule: y=x+2/3
y=2 x=?

Answers

Answer:

y=x+

-2/3

Step-by-step explanation:

y=x+

2

3

Step 1: Flip the equation.

x+

2

3

=y

Step 2: Add (-2)/3 to both sides.

x+

2

3

+

−2

3

=y+

−2

3

x=y+

−2

3

Please help now due in 25 minutes!!!

Answers

Answer:

y=8x+1

Step-by-step explanation:

The slope is a positive 8 because the line is going upwards. Slope equals rise over run. The rise is 8 units, and the run is 1 positive unit since it is going to the right. So 8/1 is 1. There's a +1 in the equation because the y-intercept is at positive 1. The y-intercept is where the line crosses the y-axis (vertical line). Here, the line crosses it at 1.

Y=8x+1 rise over Tun where they crossed lines I believe

In ANOP, the measure of ZP=90°, the measure of ZN=26°, and OP = 13 feet. Find
the length of PN to the nearest tenth of a foot.



Answers

Answer:

Length of PN = 26.65 ft (Approx.)

Step-by-step explanation:

Given:

In ΔNOP

∠ P = 90°

∠ N = 26°

OP = 13 ft

Find:

Length of PN

Computation:

using trigonometry application

Tan 26 = 13 / PN

0.4877 = 13 / PN

Length of PN = 26.65 ft (Approx.)

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