1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Novay_Z [31]
3 years ago
12

I need help I just don't understand

Mathematics
2 answers:
natali 33 [55]3 years ago
5 0

Answer: 9/7 or -5/2

Step-by-step explanation:

We can only factorise quadratics if they're in the format ax^2 + bx + c

Re-arranging the equation gives 14x^2 + 17x - 45 = 0

Factorising this quadratic gives:

(7x - 9)(2x + 5) = 0

There are numerous ways to factorise quadratics, using a calculator or via alternate methods you may have learnt in class. (E.g. 2 numbers multiply to make (14 * -45) and add up to make (17).

This gives us our solutions.

x = 9/7 or x = -5/2

maria [59]3 years ago
5 0

Answer:

See below.

Step-by-step explanation:

First, move all the terms to one side so we have only a zero on the right:

6x^2-17x+13=20x^2-32\\-14x^2-17x+45=0\\14x^2+17x-45=0

(I divided everything by negative 1 in the third step. This is optional, but I like having the first term positive.)

Now, we just need to factor it. To factor, what you want to do is find two numbers a and b such that:

When a and b is multiplied together, they equal the first coefficient and constant multiplied together.

And when a and b is added together, they equal the second term.

In other words, we want to find two numbers that when multiplied equals 14(-45)=-630 and when added equals 17. Then, we can substitute this into the 17. You do this by guessing and checking. It's useful to have a calculator.

After a bit, you can find that 35 and -18 works. Thus:

14x^2+17x-45=0\\14x^2+35x-18x-45=0\\7x(2x+5)-9(2x+5)=0\\(7x-9)(2x+5)=0

Now, the finish the problem, we just need to use the Zero Product Property and solve for x:

2x+5=0\\x=-5/2\\\\7x-9=0\\x=9/7

Note: This only works for quadratics.

You might be interested in
Helppp find the value of y lamooooo
garik1379 [7]

Answer:

4x-13 = 2x+9 ( i think it was exterior angle property i dont remember but its true)

so, solving that eq,

4x-2x = 9+13 (grouping variables and constants)

2x=22

x=11

also, 2x+9 and 3y+2 are on a transversal, and are supplementary angles (add up to 180°)

so, solving for x in 2x+9,

2(11)+9 = 22+9 = 31°

now, 31 + 3y+2 =  180

3y = 180 - 33

y = 147/3 = 49

(hoping you understood the calculations :)

6 0
2 years ago
Find the 32nd term of the arithmetic sequence 32, 29, 26, 23, ...
Zinaida [17]

Answer:

-55

-61

064

63

Step-by-step explanation:

3 0
2 years ago
Max <br> p=3x+2y <br> subject to <br> 5x+y&lt;16 <br> 2x+3y&lt;22 <br> x&gt;0 <br> y&gt;0
garri49 [273]

Answer:For all the corner points, the maximum is at point (1, 3)

From the graph of the constraints, the corner points of the feasibility region are (0, 0), (0, 10/3), (1, 3), (2, 0)

For (0, 0): p = 0 + 2(0) = 0

For (0, 10/3): p = 0 + 2(10/3) = 20/3 = 6.67

For (1, 3): p = 1 + 2(3) = 1 + 6 = 7

For (2, 0): p = 2 + 2(0) = 2

Therefore, solution = (1, 3)

3 0
3 years ago
How many pairs of parallel faces are shown?
Vesna [10]

Answer:

5

Step-by-step explanation:

i don't see the graph

but i would think this would be the answer.

7 0
3 years ago
Someone please help me fast !!
kvv77 [185]
The second answer is correct.
6 0
3 years ago
Read 2 more answers
Other questions:
  • In ACME PUBLISHING SWEEPSTAKES, the chance of winning a car is 1 in 1,000. What percent of tickets to ACME PUBLISHING SWEEPSTAKE
    9·1 answer
  • Find cardinality of set B<br><br> B = {∅, {1}, {1, 2}, {1, 2,3}, · · · , {1, 2, · · · , m}}
    9·1 answer
  • Help? -Factoring polynomials
    9·2 answers
  • In a 30cm by 25cm rectangle, a quadrant of a circle of radius 7cm has been cut away from each corner. What is the perimeter of t
    8·1 answer
  • Which number below best represents a credit of $17.16?
    15·2 answers
  • Three out of every ten dentists recommend a certain brand of fluoride toothpaste. Which assignment of random digits would be use
    15·1 answer
  • If cos(t)= <img src="https://tex.z-dn.net/?f=-%5Cfrac%7B4%7D%7B9%7D" id="TexFormula1" title="-\frac{4}{9}" alt="-\frac{4}{9}" al
    6·1 answer
  • Can y’all help me please<br> U need someone to explain it for me
    15·1 answer
  • I need help pls my school starts in 45 mins pls I need a answer
    9·1 answer
  • What are the factors in the expression ​3(x + 8)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!