Nikolas and Angela were trying to solve the equation:
3x^2+10x=0
Nikolas said, “I can complete the square. Half of 10 is 5, and 5 squared is 25. So I'll add 25 to both sides, factor, and solve.”
Angela said, “I'll factor the left-hand side of the equation as x(3x+10), and solve using the zero product property."
Whose solution strategy will work?
Answers
zero product property (Angela)
Step-by-step explanation:Hi there !
(Angela)
3x² + 10x = 0
x(3x + 10) = 0
x = 0 => x₁ = 0
3x + 10 = 0 => 3x = - 10 => x₂ = - 10/3 = - 3 1/3
Good luck !
Answer:
only angelas
Step-by-step explanation:
Related Questions
What is the square root for v8
Answers
Andrea is saving money for a car. She makes an hour shampooing dogs at the local groomer. After is subtracted from her paycheck she puts of her remaining check in her savings account. Let represent the number of hours Andrea works each week. Write an expression in simplest form that represents the amount of money Andrea saves each week.
Answers
Complete question :
Andrea is saving money for a car. She makes $13 an hour shampooing dogs at the local groomer. After 18% is subtracted from her paycheck she puts 50% of her remaining check in her savings account. Let x represent the number of hours Andrea works. Write an expression in simplest form that represents the amount of money Andrea saves each paycheck.
Answer:
$5.33x
Step-by-step explanation:
Given the following :
Amount earned as a local groomer = $13
Number of hours worked = x
Hence, total amount earned per paycheck = (13 * x) = 13x
Amount saved = 50% of (100% - 18%) of amount earned
= 50% of 82% of 13x
82% of 13x = (0.82 * $13x) = $10.66x
Amount saved = 50% of $10.66x
= 0.5 * $10.66x
= $5.33x
Write the equation for the graph below.
HELP PLEASE
Answers
Answer:
y= 4x+1
Step-by-step explanation:
y = mx + b
The b is the y-intercept, so to find it you just need to find where the line is on the y-axis when x is zero
The slope is just rise over run (y2-y1/x2-x1), so the graph in the picture shows us that the line goes up 4 to go over 1. Therefore the slope is 4/1 which is equal to 4.
Jasper is 43 years old and his daughter Freya is 7. In n-years Jasper will be four times as old as Freya is at that point. Set up and solve an equation for n. Then state both Jasper and Freya’s ages after n-years.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Jasper's age = 43 years
Freya's age = 7
In n years, jasper will be 4 times as old as Freya
Let jasper = j
Freya = f
After n years :
j + n = 4 * f
J + n = 4 ( f + n)
43 + n = 4(4 + n)
43 + n = 16 + 4n
43 - 16 = 4n - n
27 = 3n
n = 27/3
n = 9
Jasper's age after n years :
43 + 9 = 52
Freya's age after n years :
4 + 9 = 13
Given b(x) = x+4). what is b(-10)?
Answers
Answer:
-6
Step-by-step explanation:
[tex]b(x)=x+4\\\\b(-10)=(-10)+4\\\\b(-10)=-10+4\\\\b(-10)=-6[/tex]
When Ms. Morgan went hiking with Fuego, she saw a total of 25 tress. 6 of the trees were Elm trees. What percentage of trees were Elm trees that Ms. Morgan saw? And did she climb the trees? (remember, set up your problem like a ratio, reduce, then solve
Answers
Answer:
24%
She didn't climb any trees.
Step-by-step explanation:
There are a total of 25 trees
6 were Elm Trees
The fraction of trees that were Elm trees are 6 / 25
Converting this fraction to percentage = 6 / 25 x 100 = 24%
The question doesn't provide any information on if she climbed any trees
MATH PLS HELP ASAP I GIVE BRAINLIST
Answers
Answer:
A
Step-by-step explanation:
A because it 15,052!!!
A book is marked down by 28 percent from an original price of $19.50. What is the new price?
$5.46
$5.85
$13.04
$14.04
Answers
Answer:
$5.46
Step-by-step explanation:
If you need help with percentages you can look up percentage calculator it might help you.
$14.04 is the new price, of 28 percent from the original price $19.50.
Solve for y in the equation: 3y - 5 = 5(y - 3)
Answers
Step one: distribute the 5
3y-5=5y-15
Step two: add 5 to both sides
3y=5y-10
Step three: subtract 5y from each side
-2y=-10
Step four: divide both sides by -2
y=5
Which of the following could be the number shown on the number line?
O A. 15
OB. 8
C. V11
O D. 17
Answers
What value can be written on the blank line to make the expressions equivalent? 48 + 54 = blank (8 + 9)
Answers
Answer:
6
Step-by-step explanation:
find the greatest common factors of 48+
Answer:
6 i think
Step-by-step explanation:
22. Linda is a salesperson for Spooner's Cleaning Service, which cleans office buildings. She
receives a 14% commission for every office that signs a contract for the cleaning service. Last week
she received $1,233.60 in commissions. What was the total value of the cleaning contracts she sold,
rounded to the nearest dollar?
Answers
Answer:
The total value of the cleaning contracts sold is $8,811
Step-by-step explanation:
Here, we are interested in calculating the value of the cleaning contracts sold.
Let the total value of the cleaning contracts sold be $x
Mathematically;
14% of x = 1233.60
14/100 * x = 1233.60
14x = 100 * 1233.60
x = 123360/14
x = 8,811.43
Which is $8,811 to the nearest dollars
4.5 inches = has cm
8.89
10.16
11.43
12.7
Answers
The sum of three consecutive odd numbers is -27. What is the largest of the three numbers
Answers
An odd number can be written as [tex]2n+1[/tex] where n is an integer.
If [tex]2n+1[/tex] is our first odd number, the next consecutive odd number will be 2 more than that. The third one will be 4 more.
If we only add 1, we'd get an even number, so we need to add 2.
2. What are the expressions for our numbers?First number:
[tex]2n+1[/tex]
Second number (2 more than the first number):
[tex]2n+1+2=2n+3[/tex]
Third number (4 more than the first number):
[tex]2n+1+4 = 2n+5[/tex]
3. Adding our numbers togetherThe sum is these 3 numbers added together. Let's do that now:
[tex](2n+1) + (2n+3) + (2n+5)[/tex]
[tex]2n + 2n + 2n + 1 + 3 + 5\\6n + 9[/tex]
4. Solving the equationThe sum is, thus, [tex]6n+9[/tex]. We know this sum is equal to -27:
[tex]6n+9 = -27[/tex]
Subtract 9 from both sides:
[tex]6n = -36[/tex]
Divide both sides by 6:
[tex]n = -6[/tex]
5. Finding our numbersNow that we know n, we can find our 3 numbers.
For the first number, we can use its expression in section 2.
[tex]2n +1 = 2*(-6)+1 = -12+1 = -11[/tex]
For the second number, we can just use the fact that it's 2 more than our first number, -11. If you're wondering why this is, review section 1.
[tex]-11 + 2 = -9[/tex]
Same for our third number, it's 4 more than our first number or 2 more than our 2nd number:
[tex]-11 + 4 = -7\\or\\-9 + 2 = -7[/tex]
6. So the largest one is...?Our three consecutive numbers are -11, -9, and -7. As we can see, the largest of these three is -7.
Answer: -7
How can I solve this?
Answers
Answer:
27.6°
Step-by-step explanation:
It can help to draw a diagram.
The angle of interest is the angle in a right triangle that has 23 ft as its adjacent side and 12 ft as its opposite side. The tangent relation is helpful:
Tan = Opposite/Adjacent
tan(d) = 12/23
The inverse tangent function is used to find the angle when you know the tangent:
d = arctan(12/23) ≈ 27.55°
The angle of depression is about 27.6°.
Please help! 20 points!!
Answers
Answer:
see below
Step-by-step explanation:
The mean is the sum of all the numbers divided by the number of numbers
( -6+-5+2+-10+1+-9+6)/7
-21/7
-3
The mean is -3
This means the average temperature is a negative value over the 7 days
Answer:
-3 :D
Step-by-step explanation:
A business orders 215 flowers for their employees on Valentine’s Day. Roses cost $3.00 each, carnations cost $1.00 each, and lilies cost $2.00 each. There are 15 more lilies than roses. The total of the order came to $410.00. How many of each type of flower were ordered?
How many of each type of flower were ordered?
Write the system of equations that represents this scenario.
Answers
Answer:
number of Roses = 60
number of carnations = 80
number of Lilies = 75
Step-by-step explanation:
Roses = $3.00
carnations = $1.00
Lilies = $2.00
Total order = 215
Let
x = number of Roses
y = number of carnations
z = number of Lilies
There are 15 more lilies than roses.
z = x + 15
The total of the order came to $410.00.
x + y + z = 215
3x + y + 2z = 410
substitute z = x + 15
x + y + x + 15 = 215
3x + y + 2(x+15) = 410
2x + y + 15= 215
3x + y + 2x + 30 = 410
2x + y = 215 - 15
5x + y = 410 - 30
2x + y = 200 (1)
5x + y = 380 (2)
Subtract (1) from (2)
5x - 2x = 380 - 200
3x = 180
Divide both sides by 3
x = 180/3
= 60
x = 60
Recall
z = x + 15
z = 60 + 15
= 75
z = 75
Substitute the value of x into (1)
2x + y = 200
2(60) + y = 200
120 + y = 200
y = 200 - 120
= 80
y = 80
Therefore,
x = number of Roses = 60
y = number of carnations = 80
z = number of Lilies = 75
eleven more than a number squared, decreased
by six;
evaluate when t = 5
A 2-column table with 6 rows. Column 1 is labeled Key Words with entries eleven, more than, a number, squared, decreased by, six. Column 2 is labeled Replace With entries 11, +, t, exponent of 2, minus, 6.
Write and evaluate the expression.Check all that apply.
Answers
Answer:
The answer is 1 and 5
Step-by-step explanation:got it right on edg 2021
The evaluation of the expression "eleven more than a number squared, decreased by six" when t = 5 will be 30.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that the expression is, eleven more than a number squared, decreased by six;
We have to evaluate the expression when t = 5.
We have to apply the arithmetic operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷. We'll apply division by Splitting into equal halves or groups.
Suppose the variable is t,
=11 + t² - 6
If t =5
Substitute the value of t as 5 in order to evaluate the expression as,
=11 + t² - 6
=11+5²-6
=11+25-6
=30
Thus, the evaluation of the expression "eleven more than a number squared, decreased by six" when t = 5 will be 30.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ2
1. You have a bag of marbles. There are green, yellow and red marbles in it. Each marble has a number 1 or 2 on it. G = event of picking a green marble Y = event of picking a yellow marble R = event of picking a red marble 1 = event of picking a marble with the number 1 on it 2 = event of picking a marble with the number 2 on it (a) You know that P(G) = 25%, P(1) = 47%, and P(G and 1) = 20%. Find P(G or 1). (b) What does P(G or 1) mean in terms of marbles? (c) You know that P(2) = 53%, P(R or 2) = 68%, and P(R) = 40%. Find P(R and 2). (d) What does P(R and 2) mean in terms of marbles?
Answers
Answer:
P means probability. R means event of picking a red marble. 2 means event of picking a marble with 2 on it.
Step-by-step explanation:
Select all the angles of rotation that produce symmetry for this flower.
Answers
Answer:
Angles of rotation that produce symmetry are the angles that we can rotate the image, and the end result will be the starting image. (the angles are always measured from the x-axis)
Here we can clearly see that in each quadrant we have a petal of the flower.
Then the angles that change one quadrant into other quadrant will produce symmetry.
Those angles are:
90°, 180°, 270°, 360°, etc.
We can define the set of those angles as:
A {n*90° I n ∈ Z}
In order to make chocolate peanut butter cups, you need to purchase chocolate and peanut butter. You need total of $40 to spend on ingredients. Chocolate costs $8 per pound and peanut butter cost $4 per pound.
Answers
Answer: what is the question?
Step-by-step explanation:
what integer represents Sahan withdrawing $250
Answers
Answer:
-$250
Step-by-step explanation:
Your Welcome;)
5x : 9 = 8:3
Calculate the value of x.
Answers
4.8
Explanation:
Please see the picture attached!
I hope this helps! Please comment if you have any questions.
Write the sentence as an equation.
258 is equal to 19 reduced by C
Answers
Answer:
258÷c=19
what?
Which measure of center is the most appropriate for this data set?
20,6, 42, 13, 15, 10, 9, 12, 12
A.
mean
B
median
C.
mode
D.
mean absolute median
Answers
Answer:
A. Mean
the correct measure of center is the mean.
Step-by-step explanation:
The mean of this data set is 15.44
The median is 12
The mode is 12
The A. mean measure of center is the most appropriate for this data set.
What are mean, median, and mode?The three main methods for identifying the average value of a set of integers are mean, median, and mode.
Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean.
The middle value in a list that is arranged from smallest to greatest is called the median.
The value that appears the most frequently on the list is the mode.
The measure of the center is the mean value of a data set.
The mean of the data set is (20 + 6 + 42 + 13 + 15 + 10 + 9 + 12 + 12)/9.
= (139/9).
= 15.44.
learn more about mean here :
https://brainly.com/question/11163338
#SPJ6
what the difference of twice a number and 3 is -21
Answers
Answer:
Step-by-step explanation:
2x - 3 = - 21 Add 3
2x = -21 + 3 Combine the right
2x = -18 Divide by 2
x = - 18/2
x = -9
How many times will 1/5 go into 37
A. 7 2/5
B. 2 1/5
C. 185
D. 1/185
Answers
Answer:
A
Step-by-step explanation:
Using the inverse operation of division which is multiplication I can do 37×1/5 to get 7.4 or 7 2/5.
MARK ME AS BRAINLIEST
Answer:
C 185
Step-by-step explanation:
Well you need 5 1/5th to make on whole, so all we need to do is 5×37 is 185
rename the number 25
Answers
Answer:
two tens and five ones
Step-by-step explanation:
rename the place values then put them together
Answer:
Five fives
Step-by-step explanation:
5 times 5 is 25.
Hope this helped!
The table to the right shows the population of five countries in 2012 you are researching and notice that India has approximately 250,000,000 people less then China what is the population in India
Answers
Answer:
1350000000-250000000=1100000000
Step-by-step explanation:
Find two consecutive numbers whose sum is 115
Answers
Answer:
57 and 58Step-by-step explanation:
n - the first number
n+1 - the number consecutive to x
n + n+1 = 115
-1 -1
2n = 114
÷2 ÷2
n = 57
n+1 = 57 + 1 = 58
Check: 57 + 58 = 115
