PLEASE HELP ME
Solve 2x^2-x>15
Show your work
Answers
Answer:
x < -5/2 or 3 < x
Step-by-step explanation:
Subtracting 15 puts the relation into a more standard form:
2x^2 -x -15 > 0
(2x +5)(x -3) > 0 . . . . . factor
The zeros of these factors are x = -5/2 and x = 3.
For values of x between those values (-5/2 ≤ x ≤ 3), the product of these factors will be negative or zero. In order for the product to be positive, x must not be in that range.
The solution is ...
x < -5/2 or 3 < x
_____
Additional comment
Several methods are taught for factoring a quadratic expression. One of my favorite is using a graphing calculator to find the zeros. If p is a zero, then (x-p) is a factor.
Another way to approach the factoring of ax^2 +bx +c is to find factor pairs of the product (ac) that have a total of b. Here, that means finding factors of 2(-15) = -30 that have a sum of -1. Consider ...
-30 = (1)(-30) = 2(-15) = 3(-10) = 5(-6)
The sums of these pairs are -29, -13, -7, -1. With the values 5 and -6, you can rewrite the quadratic expression as 2x^2 +5x -6x -15. This can be factored by grouping pairs of terms:
x(2x +5) -3(2x +5)
(2x +5)(x -3) . . . . . . . the factorization we show above.
__
You can see on the graph that the quadratic is greater than 0 when x < -2.5 or x > 3.
Related Questions
What is the area, in square centimeters, of the trapezoid below?
Answers
Answer:
36 cm²
Step-by-step explanation:
1/2 × (8.9+5.5) ×5.5
1/2×14.4×5.5
1/2×72
36 cm²
2 Divided by 1 / 5. Rlly need help on this
Answers
Answer:
The answer will be 10
Step-by-step explanation:
2/1/5=10
State what information is required to know that the triangles are congruent.
-GEOMETRY
Answers
[tex]\huge \bf༆ Answer ༄[/tex]
The additional information needed to prove that the triangles are congruent is ~ A
[tex] \sf \angle M \cong \angle V \: \: or \: \: \angle N \cong\angle U[/tex]Answer: Choice A
Explanation:
The shorthand AAS stands for "angle angle side". The diagram shows we have a pair of congruent angles, which takes care of one "A" of "AAS". So we need info about another pair of angles to take care of that other "A".
One possible pair is angle M and angle V, or we could go for angle N and angle U. Whichever option you go for, the tickmarked sides are not between the angles mentioned. If the side was between the angles, then we'd have to use ASA which is slightly different from AAS. The order matters.
In ΔSTU, u = 280 inches, ∠T=63° and ∠U=29°. Find the length of t, to the nearest 10th of an inch.
Answers
Answer:
t = 514.6in.
Step-by-step explanation:
280/sin(29°) = t/sin(63°)
t = 280*sin(63°)/sin(29°)
t = 514.6 in. (to the nearest 10th of an inch)
Write an algebraic expression that models the word phrase.
the sum of the product of a number x and 6, and 2
Choose the correct answer below.
O A. 12 + x
OB. 6x + 2
O C. (6+2)x
OD. 2x + 6
Answers
Answer:
B: 6x+2
Step-by-step explanation:
hope this helps :)
Which congruence criteria is met in the following scenario?
SAS
SSS
AAS
HL
ASA
Answers
Pls help i give 5 stars and crown
Answers
Step-by-step explanation:
10 %, 7/10 and 0.2 are the three numbers that add up to 1
0.1 + 0.7 + 0.2 = 1
Answer:
1/4 = 0.25
0.5
10% = 0.1
7/10 = 0.7
15% = 0.15
0.2
10% + 7/10 +0.2 = 1
f(x)=1/2(x-2)(x+3)^3
Answers
Answer:y=
1
2
x4+
7
2
x3+
9
2
x2+
−27
2
x−27
Step-by-step explanation:
What is the measure of the angle mentioned in the picture below:
In the figure below, what is the measure of
70deg
125deg
55deg
180deg
Answers
Answer:
70
Step-by-step explanation:
since the left and right sides are equal length the left and right angles are 55 degrees. and since a triangle adds up to 180 degrees
180-55-55 = 70
I think you can also use sin cos tan to solve this but this way is much easier
What is the area of a room that is 3 3/4 yards long by 3 1/3 yards wide?
Answers
Answer:
Depends on what your question asks for (in mixed or improper form) your answer would be: 150/12 yards or 12 1/2 yards
brainliest please?<3
Step-by-step explanation:
To find the area, first convert the mixed numbers to improper form:
3 3/4 = 15/4 & 3 1/3 = 10/3
Now multiply them together:
15/4 x 10/3
= 150/12
Answer: 12.5
Step-by-step explanation:
3 3/4 in improper form is 15/4. 3 1/3 in improper form is 10/3.
15 10 150
==x == = ==== 150 divided by 12 is 12.5
4 3 12
2k+5=21 answer this problem plz
Answers
Answer:
k=8
Step-by-step explanation:
2k+5=21 (-5 on both sides to get rid of +5)
2k=16 (divide by 2 to get rid of that 2 in front of K)
k=8
Lin is playing hand ball and wants the ball
to bounce off wall CB and land at D.
Where on the wall should she aim if she's
standing at point A?
Answers
Lin should aim the ball at 7.8 feet away from point B
From the question (see attachment), we have the following equivalent ratios:
[tex]AB : BE = DC :CE[/tex]
This is so because triangles ABE and DCE are similar triangles.
Such that:
[tex]BE + CE = 20[/tex]
[tex]AB = 16[/tex]
[tex]DC = 16 + 9 = 25[/tex]
So, we have:
[tex]AB : BE = DC :CE[/tex]
[tex]16 : BE = 25: CE[/tex]
Make CE the subject in [tex]BE + CE = 20[/tex]
[tex]CE=20 - BE[/tex]
Substitute 20 - BE for CE in [tex]16 : BE = 25: CE[/tex]
[tex]16 : BE = 25: 20 - BE[/tex]
Express as ratio
[tex]\frac{16 }{ BE} = \frac{25}{ 20 - BE}[/tex]
Cross multiply
[tex]16(20 - BE) = 25BE[/tex]
Open bracket
[tex]320 - 16BE = 25BE[/tex]
Collect like terms
[tex]25BE + 16BE = 320[/tex]
[tex]41BE = 320[/tex]
Divide both sides by 41
[tex]BE = 7.8[/tex]
Hence, she should aim at 7.8 feet away from point B
Read more about similar triangles at:
https://brainly.com/question/14285697
Answer:You want to make a bank shot. Sketch the path of the cue ball so it will bounce off of the bottom side and knock the yellow stripe 9 ball into the top middle pocket.
Step-by-step explanation:
Mr. Johnson is purchasing chicken for a family
BBQ. He purchases 7.8 pounds of chicken that costs
$3.60 per pound. How much change should Mr.
Johnson receive if he gives the cashier a $50 bill?
Answers
HEYYYY I NEED HELPPPP AS SOON AS POSSIBLE
Answers
half of the 40 is 20 so 3/2 of the area is 60
Determine whether it is possible to form a triangle
with side lengths 3, 6, and 10.
O yes
O no
Answers
Which 2 expressions are equiavalent to -40/9
Answers
Answer:
360 is the answer
Step-by-step explanation:
hi
have a good day
hope it helps you
thank me later
carryonlearing
Answer:
Step-by-step explanation: 2\frac{u^2}{8}u^4=10\frac{u^3}{9}u
What is the solution for x if
Answers
Answer: the answer is B which is x < -1
Step-by-step explanation: trust me bro and happy holidays :)
Answer:
[tex]\huge\boxed{B)\ x<-1}[/tex]
Step-by-step explanation:
Solve this inequality the same way you would solve an equation: by isolating x.
Simply subtract 6 from both sides to get -4x > 4. Then merely divide both sides by -4 to get x < -1. (Notice that when dividing by a negative number, you must flip the sign of the inequality.)
Hope it helps :)
Which table matches the equation y= 8x + 20
Answers
Answer:
The first table
Step-by-step explanation:
x y
7 76
10 100
13 124
16 148
HOPE THIS HELPS :)
Question 3
If f(x) = -2 and g(x)= 3x2 +2x - 6, find (+g)(x).
A. 3x+3x+4
B. 3x2 +x-8
C. X2 +12
D. 3x2 + x - 3
Answers
Answer:
Step-by-step explanation:
For example, it is more usual to talk about polynomials of degree 6 than to ... Given the polynomials f (x)=3x3 +7x2−5x + 8, g(x) = −x5 + 6x4−2x3+ x−3 ...
Geraldo and Raul are participating in a relay for charity. Geraldo rides his bike 12 miles per hour. Raul rides his bike 10 miles per hour. Together, they travel a total distance of 34 miles.
Answers
We know
[tex]\\ \sf\Rrightarrow Speed=Distance/Time[/tex]
[tex]\\ \sf\Rrightarrow Distance=Time\times {Speed}[/tex]
Let hours be x
[tex]\\ \sf\Rrightarrow 12x+10x=34[/tex]
[tex]\\ \sf\Rrightarrow 22x=34[/tex]
[tex]\\ \sf\Rrightarrow x=34/22[/tex]
[tex]\\ \sf\Rrightarrow x=17/11[/tex]
[tex]\\ \sf\Rrightarrow x=1.5h[/tex]
Pls help it's due tonight!!!!!!!!!!
A new born baby dropped in weight from 4500 g to 3200g. What percentage loss is this.
Answers
Answer:
3200/4500=71.1%
so a 29.9% drop
Hope This Helps!!!
find the slope of the line 2y+5x=3
Answers
Answer:
-5/2
Step-by-step explanation:
First, you want to get the equation into the Y=mx+b formula, and my m will be the slope of the line.
So in our case, we get Y= -5/2x+3/2 so my slope is -5/2
It takes me 12 minutes to run 2 kilometers. How long will it take me to run 10,000 meters?
Answers
Because 2km is equal to 2000m
Therefore you multiply 12 min by 5 (because 2000m x 5 is 10000m)
How i can answer this question?
Answers
Answer:
11n
Step-by-step explanation:
7+4 =11
so then 7n+4n=11n
What is the difference between log(x/y) and log(x)/log(y)?
Answers
A local flower shop advertises that 4 out of every 5 flower seeds will grow. If Janie plants 40 of these flower seeds in her garden, how many seeds can she expect to grow?
Answers
4:5 ratio
4x2 | 5x2
8:10
40/10 = 4
8 x 4
7. I am currently 5 times as old as my daughter. In 6 years from now. I will be three times as old she will be then. Find our current ages.
i will mark that answer as brainlist who's answer was correct and can send me ASAP
Answers
Answer:
Daughter is 6 , mother is 30.
Step-by-step explanation:
What does point G represent in the context of this situation?
Answers
Answer:
The famous point G that everyone enjoys... of course it represents a point of a graph! What else could it be? G stands for graph.
If x=a sintheta and y=bcostheta, show that (b^2)(x^2)+(a^2)(y^2)=(a^2)(b^2)a
Answers
2
b
2
A solid object where the radius of bse is 7cm and height is 12cm
Answers
Answer:
A cylinder with a base radius of 7cm and a height of 12 cm.
Step-by-step explanation:
A solid object =7cm
height=12cm
Now,
we know that l = b×g
=12×7
= 84