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
Maksim231197 [3]
3 years ago
14

Factoring by grouping: what is 3x^2+2x-5

Mathematics
1 answer:
joja [24]3 years ago
3 0

Answer:

(x-1)(3x+5)

Step-by-step explanation:

3x^2+2x-5

3x^2+(5-3)x-5

3x^2+5x-3x-5

X(3x+5)-1(3x+5)

(x-1)(3x+5)

Answer is (x-1)(3x+5)

You might be interested in
Draw an example of a composite figure that has a volume between 750 cubic inches and 900 cubic inches
grigory [225]

Volume:

V \approx 888.02in^3 \\ \\ And, \ 750in^3

<h2>Explanation:</h2>

A composite figure is formed by two or more basic figures or shapes. In this problem, we have a composite figure formed by a cylinder and a hemisphere as shown in the figure below, so the volume of this shape as a whole is the sum of the volume of the cylinder and the hemisphere:

V_{total}=V_{cylinder}+V_{hemisphere} \\ \\ \\ V_{total}=V \\ \\ V_{cylinder}=V_{c} \\ \\ V_{hemisphere}=V_{h}

So:

V_{c}=\pi r^2h \\ \\ r:radius \\ \\ h:height

From the figure the radius of the hemisphere is the same radius of the cylinder and equals:

r=\frac{8}{2}=4in

And the height of the cylinder is:

h=15in

So:

V_{c}=\pi r^2h \\ \\ V_{c}=\pi (4)^2(15) \\ \\ V_{c}=240\pi in^3

The volume of a hemisphere is half the volume of a sphere, hence:

V_{h}=\frac{1}{2}\left(\frac{4}{3} \pi r^3\right) \\ \\ V_{h}=\frac{1}{2}\left(\frac{4}{3} \pi (4)^3\right) \\ \\ V_{h}=\frac{128}{3}\pi in^3

Finally, the volume of the composite figure is:

V=240\pi+\frac{128}{3}\pi \\ \\ V=\frac{848}{3}\pi in^3 \\ \\ \\ V \approx 888.02in^3 \\ \\ And, \ 750in^3

<h2>Learn more:</h2>

Volume of cone: brainly.com/question/4383003

#LearnWithBrainly

4 0
3 years ago
If 2k, 5k-1 and 6k+2 are the first 3 terms of an arithmetic sequence, find k and the 8th term​
Klio2033 [76]

Answer:

see explanation

Step-by-step explanation:

The common difference d of an arithmetic sequence is

d = a_{2} - a_{1} = a_{3} - a_{2}

Substitute in values and solve for k, that is

5k - 1 - 2k = 6k + 2 - (5k - 1)

3k - 1 = 6k + 2 - 5k + 1

3k - 1 = k + 3 ( subtract k from both sides )

2k - 1 = 3 ( add 1 to both sides )

2k = 4 ⇒ k = 2

--------------------------------------------------------

The n th term of an arithmetic sequence is

a_{n} = a_{1} + (n - 1)d

a_{1} = 2k = 2 × 2 = 4 and

d = 5k - 1 - 2k = 3k - 1 = (3 × 2) - 1 = 5

Hence

a_{8} = 4 + (7 × 5) = 4 + 35 = 39

4 0
3 years ago
A sweater is on sale for 40 percent off its origanal price of 29.95 what is the amount of savings
horrorfan [7]

0.4×29.95

=11.98 so your answer is 11 dollars and 98 cents

8 0
3 years ago
Read 2 more answers
By rounding to 1 significant figure, estimate the value of 48.7 x 61.2<br> 11.3
11111nata11111 [884]

Answer : 263

Rounded (1 s.f ) = 300

7 0
3 years ago
Help Me With This Show Work If You Want
puteri [66]
Use the Pythagorean therm , you know the a^2+b^2=c^2 
8 0
3 years ago
Other questions:
  • Help me with graphing pls
    14·1 answer
  • A local band is holding a concert. The price of a ticket to the concert is $15. The band must sell enough tickets to cover at le
    15·2 answers
  • ASSIGNMENTS
    12·1 answer
  • Which products are negative?
    13·2 answers
  • Convert a half to decimal
    9·2 answers
  • A rectangle is 1/2 ft long and 3/4 ft wide.
    6·2 answers
  • 27-4(26-2×3)to the 2nd power
    12·2 answers
  • Which equation represents a proportional relationship? y+4=x+8y+4=x+8 y=32xy=32x −4xy=8−4xy=8 y = 4x + 3
    10·1 answer
  • How do you know a number is divisible by 6?
    9·2 answers
  • Mrs anglin is driving her car at a constant speed of 90 miles in 2 hours select three statements that are true based on her spee
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!