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

What number must you add to complete the square?
x2 + 16x = 3
O A. 16
B. 36
O C. 64
O D. 72

Answers

What number must you add to x² + 16x = 3 to complete the square 64: Option C

What is a perfect square?

You should be aware that a perfect square is a term that has two common factors

The given equation is x² + 16x = 3

To make the equation a perfect square, Add the square of half of the coefficient of s to both sides

This is to say that (16/2)² = 8² = 64

The equation becomes x²+16x+64 = 3+64

Then you can factorize the equation and simplify the right hand side

Learn more about perfect squares on https://brainly.com/question/385286

#SPJ1

pls answer i have a ton of homework

Answers

Answer:

ewqvrdvfgbt2nbvcx

Step-by-step explanation:

Answer:

the answer is 9

Step-by-step explanation:

Does the table represent an exponential function? Explain why or why not.
(3,-10 ), (4,-7 ), (5,-4), (6,-1), (7,2),(8,5)

Answers

Answer:

No, it does not.

Step-by-step explanation:

It's a linear function, with a slope of -3 (down 3 for every new X as you move right)

No, it does not........

A family wants to rent a car to go on vacation. Company A charges ​$35.50 and 11¢ per mile. Company B charges ​$60.50 and 14¢ per mile. How much more does Company B charge for x miles than Company A​?

Answers

Answer:

$30 and 1 cent more

Step-by-step explanation:

$60.50 - $30.50 = $30

0.12 - 0.11 = 0.01

Helppppppppppppppppppppp

Answers

C hope that helps because if you look at your answers and compare your question to that there u go

Is 2 a solution of 4z + 12 = 4? Complete the statement.​

Answers

Answer:

No im pretty sure its not a solution.

Step-by-step explanation:

See if “z” is 2 than the answer to the solution would be 20

Answer:

The solution is -2

Step-by-step explanation:

4z + 12 = 4

Subtract 12 on each side (4z + 12 - 12 = 4 - 12)

4z = -8

Divide 4 on each side (4z / 4 = -8 / 4)

z = -2

I really need help with this statistical/variable question, i am really struggling and would be super happy if someone could answer

Answers

Answer:

Statistic

Step-by-step explanation:

A statistic is a sample of the whole mean like

E.x( how many pink doughnuts are in the dozen pack of doughnuts.

A parameter represent the whole mean

E.x( how many donuts were made at 7:00)

Since they are sampling 25 cars, it is a statistic.

Find the area of each. Use pi = 3.14

Answers

There's no picture or anything about the shape in the question D: if you're able to explain in the comment I'll help you :D

please help me find the missing side !

Answers

Answer:

x=14 and y=7

Step-by-step explanation:

This is a 30-60-90 triangle

So in terms of x it would be [tex]x-x\sqrt{3} -2x[/tex]

If across the 60 is [tex]7\sqrt{3}[/tex] then y would be 7 which is across the 30 degrees

And x would be 14 because 2(7)=14

Help and show work please

Answers

Answer:

11111111    111 1 1 1 11

Step-by-step explanation:

Answer:

ok 1+1= 25 and add 3000 and you get 1

Step-by-step explanation:

The Property where if the order of addends changes, the sum stays the change

Answers

Property of addiction

Who can help me with this question problem

Answers

Answer:

use the formula and evaluate the givens

Step-by-step explanation:

336=(14/11)^2 * 22/7*h

336=196/121 * 22/7h

336= 4312/847h

336= 5.09h

h=66

.nooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo

Answers

Answer: What is this free?

Answer:

yes

Step-by-step explanation:

yes+yes(no-no)

=yes

Graph f(x)=|x+1|+2. Shows vertex and 4 points.

Answers

Answer:

[tex](-1,2)[/tex]

Step-by-step explanation:

The vertex of [tex]f(x)=|x|[/tex] is [tex](0,0)[/tex]

The +1 inside the absolute value horizontally shifts the graph 1 unit to the left.

The+2 outside the absolute value vertically shifts the graph 2 units upward.

So, the vertex of the graph of [tex]f(x)=|x+1|+2[/tex] is [tex](-1,2)[/tex]

Vertex: (-1,2)
Here’s the graph

Evaluate the expression 6h ÷ 2 when h = 3

Answers

Answer:

9

Step-by-step explanation:

18 / 2 = 9

Answer:

9

Step-by-step explanation:

6h/2

Since H is = to 3, u plug in 3 to H and 6 times H would be 3. 6*3 is 18 so then you wuold divide 18 by 2 which would equal 9

Use the table to write a linear function that relates y to I.
X
-2
0
2
4
y
-7
- 7 - 7
- 7
=
10

Answers

Answer:

y = -7

Step-by-step explanation:

✔️Find the slope (m) using any two pairs of values, say (0, -7) and (2, -7):

Slope (m) = ∆y/∆x = (-7 -(-7))/(2 - 0) = 0/2 = 0

Slope (m) = 0

✔️Find y-intercept (b):

y-intercept is the value of y when x = 0. From the table, when x = 0, y = -7.

Therefore, y-intercept (b) = -7

✔️ Substitute m = 0 and b = -7 into y = mx + b (slope-intercept form):

y = 0(x) + (-7)

y = -7

I Question 7 (2 of 13)
Find area of shaded region. Round to the nearest tenth.
50 cm
radius: 20 cm
80 cm
Enter your answer by clicking the bubbles.

Answers

Method:
Area of trapezium - Area of a half circle

Trapezium = 40(50+80) divided by 2

= 2600

Half circle = 1/2 x pi x 20^2

= 628.3185....
~ 628.3

2600 - 628.3 = 1971.7 cm^2

Hope this helps!!



find the value of find the value of a -7 when a equals 19 ​

Answers

Answer:

12

Step-by-step explanation:

You have to substitute a by 17 and then just subtract.

P = 2l + 2w, when P = 28 ft. and w = 5 ft.

Answers

Answer:

9

Step-by-step explanation:

5*2=10 28-10=18 18/2=9


Jimmy ate 1/3 of his sandwich at lunch. He ate another 2/3 of the sandwich. How much of the sandwich did Jimmy eat in all?
A.1/3
B.2/3
C.3/3
D.5/3

Answers

The answer is c (this needs too be 20 characters long)

Question
Is the statement below true or false?
A sampling error is the situation in which not all members of the population are equally likely to be selected.

Answers

Answer:

I think it's true sorry if I get it wrong

Answer: it is false, I hope this helps you out!

Value of ratio 3/4 to 2

Answers

Answer:

3/8 or 0.375

Step-by-step explanation:

0.75/2 = 3/8

2|2x-6|=20

How the hell do you do this guys :(

Answers

Its 8
2x -6 =10
2x= 10+6
2x=16
X= 8

Answer:

x1 = -2, x2 = 8

Step-by-step explanation:

You can first divide both sides of the equation by 2 so now you have:

I 2x - 6 I = 10

Then use the absolute value definiton and rewrite it into two separate equations:

1.) 2x - 6 = -10

2.) 2x - 6 = 10

From here you can solve both equations:

1.) x = -2

2.) x = 8

i hoped this helps

i rlly need help. plssssss

Answers

I don’t understand

Answer:

10

Step-by-step explanation:

5 x 8 / 4

40/4=10

NOT TOO HARD NEED HELP

Answers

Answer:

perimeter = 12x+10 area=8x^2+14x+6

Step-by-step explanation:

A

2x+2+2x+2+4x+3+4x+3

2x+2x+4x+4x+2+2+3+3

4x+4x+4x+2+2+3+3

8x+4x+2+2+3+3

12x+2+2+3+3

12x+4+3+3

12x+7+3

12x+10

B

(2x+2)(4x+3)

8x^2+8x+6x+6

8x^2+14x+6

Which equation can be used to solve x + 3 = 15?​

Answers

Answer:

The equation 15 - 3 = x will help solve for x.

x = 12

Step-by-step explanation:

15 - 3 = 12

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

Answer:

x = 15 - 3

Step-by-step explanation:

We need to isolate the variable for this. Simply subtract by 3 to get the equation.

x + 3 = 15

   -  3    - 3

x = 15 - 3

the real answer would be 12, if you need that.

Which number is not a factor of 42?
2 3. 4 7

Answers

Answer:

3

by using divisibility test

Answer: Its 3

Step-by-step explanation: This is because 42 can be divided by 2 4 and 7 and still be a whole number but when you divide 3 by 42 you get 10.5

Hope this helps and have a nice day

Diane has 496 beads and Linda has 286 beads.
How many fewer beads does Linda have?
beads
Х
?

Answers

Answer: 210 fewer beads.

Step-by-step explanation: All you have to do is subtract the amount Diane has by Linda. And the answer you get is how many less beads Linda has. She has 210 fewer beads than Diane from 7ds (7ds is an anime lol and Diane is a character just a joke).

PLEASE HELP ILL GIVE BRAINLIEST FOR BEST ANSWER!!



Palindrome numbers are numbers that read the same forward or backward. here are some palindrome numbers: 11, 121, 75257, and 1234321. The smallest three digit palindrome is 101. How many palindrome numbers are there between 10 to 1000?​

Answers

There are 99 palindromic numbers between 10 and 1000: 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 111, 121, 131, 141, 151, 161, 171, 181, 191, 202, 212, 222, 232, 242, 252, 262, 272, 282, 292, 303, 313, 323, 333, 343, 353, 363, 373, 383, 393, 404, 414, 424, 434, 444, 454, 464, 474, 484, 494, 505, 515, 525, 535, 545, 555, 565, 575, 585, 595, 606, 616, 626, 636, 646, 656, 666, 676, 686, 696, 707, 717, 727, 737, 747, 757, 767, 777, 787, 797, 808, 818, 828, 838, 848, 858, 868, 878, 888, 898, 909, 919, 929, 939, 949, 959, 969, 979, 989, 999.

8 friends go to Subway and each get 1/2 of a sandwich. How many sandwiches did they get altogether?

Answers

8 sandwiches just half the size
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