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
lianna [129]
3 years ago
15

Solve x2 – 8x + 15 < 0.

Mathematics
2 answers:
rusak2 [61]3 years ago
8 0
X2 - 8x + 15 = 0
(x  - 3)(x - 5) = 0
critical points are at 3 and 5
strojnjashka [21]3 years ago
4 0
Answer:

<span>x=3,5</span>

Explanation:

<span><span>x2</span>−8x+15=0</span>

Try to express the terms of the equation in square form.

Adding 16 both sides of the equation,

<span><span>(<span>x2</span>−2⋅x⋅4+<span>42</span>)</span>+15=16</span>
<span>or,<span><span>(x−4)</span>2</span>+15−16=0</span>
<span>or,<span><span>(x−4)</span>2</span>−1=0</span>
<span>or,<span><span>(x−4)</span>2</span>−<span>12</span>=0</span>

This is the <span><span>a2</span>−<span>b2</span>=<span>(a+b)</span><span>(a−b)</span></span>form.

<span><span>(x−4+1)</span><span>(x−4−1)</span>=0</span>
<span>or,<span>(x−3)</span><span>(x−5)</span>=0</span>

Now, equate both the terms to zero since both of them when multiplied, give zero.

Either,
<span>x−3=0</span>
<span>∴x=3</span>

Or,
<span>x−5=0</span>
<span>∴x=5</span>

<span>Ans:x=3,<span>5   Hope this helpsXD...!!!
</span></span>

You might be interested in
How many lines appear in the figure
timurjin [86]

Answer:

2

Step-by-step explanation:

The lines in the figure are lines XV and YZ.

4 0
1 year ago
Water flows at a rate of 8000 cubic inches per minute into a cylindrical tank. The tank has a diameter of 128 inches and a heigh
beks73 [17]

Answer:

The height of the water = 6.2 in. to the nearest tenth

Step-by-step explanation:

∵ The rate of flows of water into the tank = 8000 in.³/min.

∴ The volume of the water in the tank after 10 min. = 8000 × 10 = 80000 in.³

∵ The water take the shape of the tank

∴ The height of the water = volume of water ÷ Area of the base of the tank

∵ The tank is cylinder with diameter 128 in. and height 72 in.

∴ The area of the base of the tank = π(128/2)²

∴ The height of the water = \frac{80000}{\pi(64)^{2}}=6.2169899

∴ The height of the water = 6.2 in. to the nearest tenth

 

5 0
3 years ago
I need help plzz and thank u with math
olganol [36]
The answer is 4.81x 10^13.  By the way your welcome.
7 0
3 years ago
The mean heigh of American Males is 69.5 inches. The height of the 43 male presidents have a mean 70.78 inches and a standard de
Arisa [49]

Answer:

There is sufficient statistical evidence to suggest that the US presidents are taller than the average American male

Step-by-step explanation:

The given parameters are;

The mean height of American Males, μ = 69.5 inches

The mean height of 43 male presidents, \overline x = 70.78

The standard deviation, s = 2.77 inches

The number of male presidents = 43

The null hypothesis; H₀ μ = \overline x

The alternative hypothesis; Hₐ μ ≠ \overline x

The significance level, α = 0.05

The t test for the sample with unknown population standard deviation is given as follows;

t=\dfrac{\bar{x}-\mu }{\dfrac{s }{\sqrt{n}}}

Therefore, we have;

t=\dfrac{70.78-69.5 }{\dfrac{2.77 }{\sqrt{43}}} \approx 3.0302

The degrees of freedom, df = n - 1 = 43 - 1 = 42

The critical 't' value = 2.0181

Therefore, given that the t test value is larger than the critical-t, we reject the null hypothesis, therefore, there is sufficient statistical evidence to suggest that the US presidents are taller than the average American male

4 0
2 years ago
A rectangular room is 5 meters longer than it is wide, and its perimeter is 26 meters. Find the dimension of the room.
amid [387]

Answer:

l=×+5

w=×

p=2(×+5+×)

=2(2×+5)

26=4×+10

26-10=4×

16=4×

×=4

length=5+4=9

width=4

4 0
2 years ago
Other questions:
  • What is the iqr (inter quartile range) for the data set? 27, 4, 54, 78, 27, 48, 79, 64, 5, 6, 41, 71?
    6·2 answers
  • Find the difference. <br> 3 1/4 - 1/6 = <br> Enter your answer as a mixed number.
    5·2 answers
  • HELP ME NOW I SPENT 99 POINTS TRYING LAST TIEM
    9·1 answer
  • Someone please help me
    12·1 answer
  • What is -1=(5+x)/6 ?
    13·1 answer
  • Solve (3x-2) (4x+1)
    5·1 answer
  • I need help asap please 20 points.
    6·1 answer
  • If FBE=72 what is fge and cd?
    15·1 answer
  • Identify the slope of x = 9, then complete a<br> table of values for the equation.
    6·1 answer
  • Help please Pretty plz ​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!