Find the solution(s) of the quadratic equation x2 + 2x -15 = 0.
A)x= -5,3
B)x= 5,3
C)x= -5 -3
D)x= 5,-3
Answer:
The answer is A.
Step-by-step explanation:
Let's solve your equation step-by-step.
x2+2x−15=0
Step 1: Factor left side of equation.
(x−3)(x+5)=0
Step 2: Set factors equal to 0.
x−3=0 or x+5=0
x=3 or x=−5
Answer:
x=3 or x=−5
The solutions of the given quadratic equation are x=-5 and x=3. Therefore, option A is the correct answer.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
The given quadratic equation is x²+2x-15=0.
By using splitting middle term method, we get
x²+5x-3x-15=0
x(x+5)-3(x+5)=0
(x+5)(x-3)=0
x+5=0 and x-3=0
x=-5 and x=3
Therefore, option A is the correct answer.
To learn more about the solution of quadratic equation visit:
https://brainly.com/question/18305483.
#SPJ2
A running trail is 63 miles long. Leigh plans on
running this trail over the course of 4 days. How
much of the trail will she have to run each day?
Answer:
63/4 or 15 3/4 miles each day
Step-by-step explanation:
Answer:15.75
Step-by-step explanation:63/4 = 15.75
What is the sum?
4(x + 6) + 3(3x + 4)
A.
13x + 10
B.
13x+ 36
C.
10x + 17
D.
11x + 17
If f(x)=2(x)^2+5 (x+2), complete the following statement (and your answer to the nearest hundredth )
F(0)=
Answer:
f (x) = 2x^8 + 4x^7
Step-by-step explanation:
I simplified the expression
Sorry, that's how I understood the question
Hope this helps
A car is traveling at a constant speed the graph shows how far the car traveled in miles during a given amount of time
I WILL MARK BRAINIEST
Answer:
×=14
Step-by-step explanation:
(3x+7)+90+(4×-15)=180
7×+82=180
7×=98
x=14
Answer:
×=14
Step-by-step explanation:
(3x+7)+90+(4×-15)=180
7×+82=180
7×=98
x=14
Please help me .only answer if you know
Answer:
B) is the answer
Step-by-step explanation:
17.34 , 17.04 , 17.7
from smallest to largest
Answer:
17.04, 17.34, 17.7
Write the standard form equation of the line through the given points. through (0.-4) and (-3,-2)
Answer:
The standard form of equation of the line through the given points. through (0.-4) and (-3,-2) is [tex]\frac{2}{3}x+y=-4[/tex]
Step-by-step explanation:
The standard form of equation is [tex]Ax+By=C[/tex]
Finding slope
Using the given points (0,-4) and (-3,-2) we can find slope using formula:[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]Slope=\frac{-2-(-4)}{-3-(0)}\\Slope=\frac{-2+4}{-3} \\Slope=-\frac{2}{3}[/tex]
Finding y-intercept
Using point (0,4) and Slope=-2/3 we can find y-intercept
[tex]y=mx+b\\-4=-\frac{2}{3}(0)+b\\-4=0+b\\b=-4[/tex]
The slope intercept form of the line through the given points. through (0.-4) and (-3,-2) having slope =-2/3 and b=-4 will be:
[tex]y=mx+b\\y=-\frac{2}{3}x-4[/tex]
Now, standard form of equation will be: [tex]\frac{2}{3}x+y=-4[/tex]
So, The standard form of equation of the line through the given points. through (0.-4) and (-3,-2) is [tex]\frac{2}{3}x+y=-4[/tex]
Jackson earned $59,630.00 of taxable income last year. If the federal income tax rate was 24%, then how much federal income tax did Jackson pay on his taxable income last year?
A.
$14,311.20
B.
$15,503.80
C.
$14,907.50
D.
$13,714.90
Answer: its A i think
Step-by-step explanation
Find the constant of proportionality (k) for this relationship. Using the value for , enter an equation in the form of s = kw that represents the relationship between the number of weeks(w) and the total savings (s).
How far would a runner that ran 200 meters in minute run in 3 minutes at the same rate?
Answer:
I think 200x3
Step-by-step explanation:
200x3 = 600
Answer: 600 meters
Step-by-step explanation: 3/1 x 200/1 = 600 meters
A robot can complete 7 tasks in 3/5
hour. Each task takes the same amount of time.
a. How long does it take the robot to complete one task?
b. How many tasks can the robot complete in one hour?
Answer:
1 and 2/3 tasks
Step-by-step explanation:
a) A robot can complete 7 tasks in 3/5 hours.
This means ;
7 tasks = 3/5 hours
1 task = ?
perform cross- multiplication as;
{1*3/5} /7
3/35 hours
b)
3/5 hours = 1 task
1 hour = ?
{1*1} / 3/5
1 / 3/5
1 * 5/3
1 and 2/3 tasks
6.5
9.9
Find the measurement of the missing side. Round the answer to its second decimal place.
Your answer:
A. 7.47
B. 7.46
C. 7.476
D. 7.40
Answer:
i know its hard on computer
Step-by-step explanation:
Please help please help!!!!!!
A,B,C,or ,D???
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] {5}^{ {3}^{5} } = {5}^{3 \times 5} = {5}^{15} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Thus the correct answer is (( B )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Work out the balance for £240 invested for 20 years at 7% per annum
Step-by-step explanation:
It depends in the type on interest
Simple Interest
PxRxT
£240 x 0.07x 3 = £50.4
£240 + £50.4 = £290.4
Compound Interest
Px(1+R)^T
£290.4 x (1 + 0.07)³ = £355.7524872= €355.76
Write the following ratio in simplest form; 14/28
Answer:
1/2
Step-by-step explanation:
14/28=1/2
hopefully this helps :)
Bill can make 400 sandwiches in 2 ½ hours. What is his unit rate?
Answer:
160 sandwiches/hour
Step-by-step explanation:
To find his unit rate, divide 400 by 2.5, since he can make 400 sandwiches in 2.5 hours:
400/2.5
= 160
This means he can make 160 sandwiches in 1 hour.
So, his unit rate is 160 sandwiches/hour
22 divided by 4/5
please help me every time i do this it isn’t right
Answer:
what form is the question?
A boy owns 7 pairs of pants, 4 shirts, 3 ties, and 8 jackets. How many outfits can he wear to school if he must
wear one of each item?
Answer:
the answer is 3
Step-by-step explanation:
because if he has to wear one he has to wear ties otherwise he wont be able to wear anymore ties after three days.
HELP PLEASE!!
40 POINTS FOR BOTH QUESTIONS
please please
Answer:
1. Angle Bisector Theorem
(2x-1)/3x=9/15
15(2x-1)=9(3x)
30x-15=27x
3x=15
x=5
2. Triangles are similar so the ratio that relates them is 6/36=1/6 meaning the side length is 42x1/6=7 cm.
Which number is IRRATIONAL?
Answer:
√27
Step-by-step explanation:
√9, √36, and √81 are rational
find the missing lengths and leave answers as radicals in simplest form
Answer:
A and B are 4
Step-by-step explanation:
because of the 45 45 90 theorem. knowing the rule allows you to solve it really easily
Anyoneee?? Mean Median and mode
Answer:
mode is the most occuring number which is in this case 11
you get the median by putting them in order from least to greatest and them marking them out until you get to the middle but if there are two numbers in the middle you add them and then divide by two and that is your median but in this case your median is 11
you get the mean by adding all the numbers together and dividing by how many numbers there are so in this case you are dividing by 9 and when you add oall of these numbers together you get 98 and 98/9 is 10.8888888889 which you would round and get 10.9
hope this helps
Complete the table of values for this equation: y = 3x +10 Enter your answer by filling in the boxes. х y 4 5 6 Help!!!!
Answer:
22, 25, 28
Step-by-step explanation:
The table of values represents a linear function.
The complete table of values is:
[tex]\left[\begin{array}{cccc}x&4&5&6\\y&22&25&28\end{array}\right][/tex]
The function is given as:
[tex]\mathbf{y = 3x+10}[/tex]
When x = 4
[tex]\mathbf{y = 3 \times 4+10 = 22}[/tex]
When x = 5
[tex]\mathbf{y = 3 \times 5+10 = 25}[/tex]
When x = 6
[tex]\mathbf{y = 3 \times 6+10 = 28}[/tex]
So, the complete table of values is:
[tex]\left[\begin{array}{cccc}x&4&5&6\\y&22&25&28\end{array}\right][/tex]
Read more about linear tables at:
https://brainly.com/question/12177750
The product of a number and -5 is equal to twice the number subtracted from 9. What is the number?
A. -9
B. -3
C. 3
D. 9
Answer:
-3
Step-by-step explanation:
let the unknown be x.
x multiply by -5 = 9-2x
-5x=9-2x
-9=3x
x=-3
Solve the linear equation 2.25 - 11j - 7.75 + 1.5j = 0.5j - 1
2.25 - 11j - 7.75 + 1.5j = 0.5j - 1
(2.25 - 7.75) + (-11j + 1.5j) = 0.5j - 1
-5.5 -9.5j = 0.5j - 1
-9.5j -0.5j = -1 + 5.5
-10j = 4.5
j = 4.5/-10
j = -0.45
Answer:
A. j=-0.45
Step-by-step explanation:
Which expression is equivalent to cos(3x) sin x?
Answer:
[tex]\frac{1}{2} [sin(4x)-sin(2x)][/tex]
Step-by-step explanation:
Use the Product-Sum identity to turn cos(3x) sin x into a sum.
Formula: cos(u) + sin(v) = [tex]\frac{1}{2}[sin(u+v)-sin(u-v)][/tex]
Plug 4x and 2x for u and v into the formula: [tex]\frac{1}{2}[sin(3x+x)-sin(3x-x)][/tex]
Simplify: [tex]\frac{1}{2}[sin(4x)-sin(2x)][/tex]
:)
The expression is equivalent to cos(3x) sin x will be 1/2 [sin (4x ) - sin (2x)].
What are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
Formula we will use;
cos(u) + sin(v) = 1/2 [sin (u +v ) - sin (u - v)]
Now, Plug 4x and 2x for u and v into the formula:
1/2 [sin (3x + x ) - sin (3x - x)]
Simplify:
1/2 [sin (4x ) - sin (2x)]
Learn more about expression here;
https://brainly.com/question/14083225
#SPJ2
Change 0.568 into a fraction.
Answer:
568/1000
Step-by-step explanation:
Kimmy earns a 20% commission on all sales plus a base salary of $30,000. Her total income last year was $80,000. Which equation can be used to calculate Kimmy’s total sales?
PLEASE HELP );
Answer:
I = 30,000 + 0.20 =80,000
Step-by-step explanation:
If you pose a question as Which equation can be used to calculate Kimmy's total sales,
then that suggests that we're to be given several options from which to choose.