Answer:
See explanations below
Step-by-step explanation:
The root of a quadratic equation is determined by its discriminant
D = b²-4ac
If D > 0, the roots are real and unique
If D < 0, the roots are complex
If D= 0, the roots are real and equal
a) For the quadratic equation
y=3x^2+7x+8
Since the highest degree of the equation is 2, hence the equation will have 2 roots
From the equation, a = 3, b = 7 and c = 8
Get the discriminant
D = 7²-4(3)(8)
D = 49 - 96
D = -47
Since the discriminant value is less than 0, hence the roots are complex roots
b) For the quadratic equation
y=2x^2-7x-2
Since the highest degree of the equation is 2, hence the equation will have 2 roots
From the equation, a = 2, b = -3 and c = -2
Get the discriminant
D = (-3)²-4(2)(-2)
D = 9 + 16
D = 25
Since the discriminant value is greater than 0, hence the roots are real and unique.
c) For the quadratic equation
y=9x^2+30x+25
Since the highest degree of the equation is 2, hence the equation will have 2 roots
From the equation, a = 9, b = 30 and c = 25
Get the discriminant
D = 30²-4(9)(25)
D = 900 - 900
D = 0
Since the discriminant value is equal to 0, hence the roots are complex real and equal
Given that 3^-n=0.2
Find the value of (3^n)^2
Step-by-step explanation:
3^-n=0.2
1/3^n=0.2
1=0.2(3^n)
3^n=1/0.2
3^n=5
(3^n)²=5²
(3^n)²=25
The value of the given expression (3^n)^2 is; 25.
Evaluating the value of an expressionFrom the task content, it follows that;
3^-n=0.21/3^n=1/5On this note; it follows that; 3^n = 5.
Consequently, the value of the expression (3^n)^2 is; (5)²
The value of the expression; (3^n)^2 is; 25.
Read more on value of expressions;
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There are 10 doors to a coliseum. In how many ways can a person go in and out if one can enter any door but leave using another door? Use permutation formula (P(n,r)) to solve.
Answer:
90 is the answer
Step-by-step explanation:
P(10,2) = [tex]\frac{10!}{(10-2)!}[/tex] = [tex]\frac{10!}{8!}[/tex] = [tex]\frac{10x9x8!}{8!}[/tex]
10x9
=90
The number of ways should be 90.
Calculation of no of ways:Since There are 10 doors to a coliseum.
So, here we used the permutation
[tex]= \frac{10!}{(10!-2!)}\\\\ = \frac{10!}{8!} \\\\= \frac{10\times 9\times 8!}{8!} \\\\= 10\times 9[/tex]
= 90
Learn more about permutation here: https://brainly.com/question/14767366?referrer=searchResults
What percent of 54 is 28?
Answer:
51.85
Step-by-step explanation:
hope this helps lol
51.85
Percentage Calculator: 28 is what percent of 54? = 51.85.
Bentley is deciding between two landscaping companies for his place of business company A charges $40 per hour and $175 equipment fee company B charges $50 per hour and a $125 equipment fee let A represent the amount company b would be
Answer:
A = 40x + 175
B = 50x + 125
5 hours
Step-by-step explanation:
The equations are as follows:
According to the question
Let us assume the number of hours be x
For company A
40x + 175
For company B
50x + 125
Now equate these two equations
40x + 175 = 50x + 125
175 - 125 = 10x
x = 5
Hence, the number of hours is 5
Calculate the surface area.
Thank you for the help
i will mark brainiest
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Answer: 659.7 yd^2
I hope this helped!
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10. The volume of a rectangular prism is 90 in. The length is 5 in and the width is 2 in. What is its height?
Answer:
here is the process u can do length is given width is given and volume too so the formula is used in this is V=l x w x h
Need help!!!!!!!!!!!!!!!
Answer:
no error original system so good by
Help!!
I will mark you brainliest for the correct answer.
Please help!!!
To find the interior of Y
Y = 180 - 135
Y = 45
The interior of Z is 49 because the angles are mirrored to each other
then, to find x,
X = 180 - 45 - 49
X = 86
so your answer should be 86.
The Johnson family went out to lunch. How much did the meal cost per person, including sales tax and tip? • The meal cost $46.72. • The sales tax was 8% of the cost of the meal. • The tip was 15% of the meal and sales tax. • There are 4 people in the Johnson family. A) $14.00 B $14.50 C) $14.95 (D $15.25
Answer: c: $14.50
Step-by-step explanation:I just got done doing this question
What is the missing value in the table below?
Answer:
11
Step-by-step explanation:
y = | x-3 | + | x+2 | - | x-5 | if -2
Step-by-step explanation:
is 0 I think I don't know maybe
Find the slope of through the two points (3,4) and (-2,3).
Answer:
Slope is 1/5
Step-by-step explanation:
m = (y2 - y1)/ (x2 - x1)
m = (3-4)/(-2-3)
m = (-1)/(-5)
m = 1/5
which answer is correct
Answer:
The answer is b
Can anyone help me with this problem?
PLEASE!! All the answers are wrong! An aquarium has 14 angel fish, 12 clownfish and
18 seahorses. What is the ratio of seahorses to
total number of fish?
Answer:
26:18
Step-by-step explanation:
Answer:
Ok if it is wrong i will do this
If seahorses are considered as fish, 18:44 or 9:22
If seahorses are not considered as fish, 18:26 or 9:13
Step-by-step explanation:
What is the sum of 3/x^2-9+(5/x+3)
Answer:
Step-by-step explanation:
[tex]\frac{3}{x^2-9} +\frac{5}{x+3} \\=\frac{3}{(x+3)(x-3)} +\frac{5}{x+3} \\=\frac{3+5(x-3)}{(x+3)(x-3)} \\=\frac{3+5x-15}{x^2-9} \\=\frac{5x-12}{x^2-9}[/tex]
Answer:
D
Step-by-step explanation:
A skateboard ramp is 15 inches high and rises at an angle of 10 degrees. How long is the base of the ramp?
Answer: 37.3 in will be the longest in the base of the ramp.
Step-by-step explanation:
Answer:
3500
Step-by-step explanation:
37.3 is not the answer
Energy that moves from a warmer object to a cooler object is called ________.
a insulation
b temperature
c thermal energy
d heat
Answer:
Tempature and this not mathematics
If answered correctly I will give brainliest!
Answer:
a2 +b2 = c2
81 + 144=225
square root 225
15 is the answer
Triangle CAT is an equilateral triangle. Find x and AT
Complete the following table for f(x) = -2.4"
-2
-1
0
1
2
-2
[
Choose
- 1
Choose)
0
Choose!
1
Choose
2
Choose
Answer:
3
Step-by-step explanation:
Tom takes a 300 mg Advil for a really bad headache. Every hour that the Adviis in his system, one-third of the medicine dissolves in his body
What is the question?
Anyone know the answer to this
Answer:
The answer is B
Step-by-step explanation:
3/4
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Help please . Thank you !!
Answer:
A=25m
Step-by-step explanation:
find the values of b that make x^2+bx+1 a perfect square
Answer:
(x+1)^2 = x^2 + 2x +1
so b =2
Step-by-step explanation:
A salt water solution is cooled to -3C. During an experiment , the mixture is heated so that its, temperature rises at steady rate. Write an equation to represent the temperature ,y, after x minutes
Answer:
[tex]y = -3+ rx[/tex]
Step-by-step explanation:
Given
[tex]Base = -3C[/tex]
[tex]Time = x[/tex]
Required
Determine the equation (y)
Let the steady rate be represented with r.
So, the equation (y) can be determined using:
[tex]y = Base + Rate * Time[/tex]
[tex]y = -3+ r* x[/tex]
[tex]y = -3+ rx[/tex]
can someone help???????????
Answer:
B. is the correct answer
A cube has a surface area of 126 feet. What is the area of one face?
Answer:
21 square feet
Step-by-step explanation:
A cube has 6 faces, therefore 126/6 = 21 sq/ft the area of 1 face
The area of one face of a cube is 21 feet.
What is the surface area of cube?Surface area of cube is the sum of areas of all the faces of cube, that covers it.
The formula for surface area is equal to six times of square of length of the sides of cube.
A cube has a surface area of 126 feet.
The area of one face is given by;
[tex]\rm Area \ of \ one \ face=\dfrac{Surface \ area}{Total \ number \ of \ faces}\\\\ Area \ of \ one \ face=\dfrac{126}{6}\\\\ Area \ of \ one \ face=21[/tex]
Hence, the area of one face of a cube is 21 feet.
Learn more about cube here;
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A 2-kilogram bag of flour costs $4.70. What is the unit price?
Answer:
$2.35
Step-by-step explanation:
4.70/2= 2.35
1. A finance company charges $55 simple interest on a sum of money which is
borrowed for five months. Given that the rate
of interest is 12% per annum, find the sum of
the money.
Options:
1) $1200
2) $1100
Answer:
$1100 approx
Step-by-step explanation:
Given data
SImple interest = $55
Time= 5 months in years = 5/12= 0.42 years
rate= 12%
Let the sum be P, that is the principal
The expression for the interest is given as
SI=PRT/100
substitute
55= P*12*0.42/100
Cross multiply
5500=5.04P
P= 5500/5.04
P= 1091.2
Hence the Principal is $1100 approx