Answer:
x = - 10, x = 9
Step-by-step explanation:
Given
x² + x - 90 = 0 ( add 90 to both sides )
x² + x = 90
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2([tex]\frac{1}{2}[/tex] )x + [tex]\frac{1}{4}[/tex] = 90 + [tex]\frac{1}{4}[/tex]
(x + [tex]\frac{1}{2}[/tex] )² = [tex]\frac{361}{4}[/tex] ( take the square root of both sides )
x + [tex]\frac{1}{2}[/tex] = ± [tex]\sqrt{\frac{361}{4} }[/tex] = ± [tex]\frac{19}{2}[/tex] ( subtract [tex]\frac{1}{2}[/tex] from both sides )
x = - [tex]\frac{1}{2}[/tex] ± [tex]\frac{19}{2}[/tex] , thus
x = - [tex]\frac{1}{2}[/tex] - [tex]\frac{19}{2}[/tex] = [tex]\frac{-20}{2}[/tex] = - 10
x = - [tex]\frac{1}{2}[/tex] + [tex]\frac{19}{2}[/tex] = [tex]\frac{18}{2}[/tex] = 9
Find the slope of the line that passes through each pair of points.
(5, 9), (3, 9)
Answer:
0
Step-by-step explanation:
Robert wrote the numbers 4, 5, 8, 9,
10, 13, 15, and 18 and put them in a
hat. What is the probability he will
draw an odd number?
Answer:
70% chance
Step-by-step explanation:
because he has only 3veven so it not likely
16+24/8-6 is equal to _____.
6
-1
20
13
Answer:
13
Step-by-step explanation:
[tex]16 + \frac{24}{8} - 6 = 13[/tex]
Answer:-1
Step-by-step explanation:
you would add 16+24
which would equal 40
the divided by 40/8-6 = -1
Calculate the missing term. 32/24 = 20/___
Answer:
20/30
Step-by-step explanation:
Simplest form of 32/24= 4/3
Multiply both 4 and 3 by 10= 20/30
Hope this helps!
Three witches make 20 potions in 2 hours. What is the unit rate? i need help on my math test
ok so you are looking for the unit rate.
1 hour: 10 potions
30 mins: 5 potions
1 potion: i think it is 1.666666667
i dont know if my math is right. why dont you check?
Answer:
1 potion is 6 minutes
Step-by-step explanation:
120 minutes/20 potions = 6 potions
A cake mix calls for these ingredients. 3 cups of milk 6 cups of flour 2 cups of sugar 1 cup of oil Which is the lowest ratio? StartFraction milk Over flour EndFraction StartFraction sugar Over milk EndFraction StartFraction oil Over sugar EndFraction StartFraction sugar Over flour EndFraction
The smallest ratio of the cake mix is the Ratio of sugar to flour which is 1/3
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Ratio of milk to flour = 3/6 = 1/2
Ratio of sugar to milk = 2/3 = 2/3
Ratio of oil to sugar = 1/2
Ratio of sugar to flour = 2/6 = 1/3
The smallest ratio of the cake mix is the Ratio of sugar to flour which is 1/3
Find out more on equation at: https://brainly.com/question/13763238
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Answer: SUGAR/FLOUR
Step-by-step explanation: proof / Edge 2022
Dont understand any of this
Answer:
3. Triangle PQT is congruent to triangle RQS
1. Given: PT=RS
Step-by-step explanation:
3 because if CPTPC (I think) and 1. because it was given,
complete the table below i am stuck on it plz helpp !!!
Answer:
0 - 0 - 1
1 - 4 - 2
2 - 16 - 4
Step-by-step explanation:
I think this is right!!
Answer:
0- 0,1
1- 2,2
2- 8,4
Step-by-step explanation:
I used a calculator for this
The speed of a rollercoastsr, in miles per hour, is modeled by the funtion g(x) = x⁴ - 4x² + 7x - 8, where x is time measured in seconds. How fast is the roller coaster travelling at 2 seconds?
Answer:
6mphStep-by-step explanation:
Given the expression
g(x) = x⁴ - 4x² + 7x - 8
we are expected to substitute x=2 into the expression and return the result
g(x) = (2)⁴ - 4(2)² + 7(2) - 8
g(x) = 16 - 4x4 + 14 - 8
g(x) = 16 - 16 + 14 - 8
g(x) =14 - 8
g(x) =6
From the substitution the roller coaster is travelling at speed of 6mph
If you deposit $5000 into a savings account, you will earn 6.5% simple interest over the first 10 years. How much interest will the account earn over this period?
Answer:
$3250
Step-by-step explanation:
interest=deposit×simple interest×time
interest=5000×6.5%×10
5000×65/1000×10=3250
ans;$3250
9) -5k = -10 Help me plz
Answer:
[tex]\boxed {k = 2}[/tex]
Step-by-step explanation:
Solve for the value of [tex]k[/tex]:
[tex]-5k = -10[/tex]
-Divide both sides by [tex]-5[/tex]:
[tex]\frac{-5k}{-5} = \frac{-10}{-5}[/tex]
[tex]\boxed {k = 2}[/tex]
Therefore, the value of [tex]k[/tex] is [tex]2[/tex].
If a system of linear equations has no solution, what does this mean about two lines?
Select all that apply.
a. Two solutions
b. Parallel lines
c. One solution
d. No points in common
e. Same line
which expressions are equivalent to 3 to the power of 5?
81·3
3·5
9·27
3·3·3·3·3
9·9
Answer: 3·3·3·3·3
Step-by-step explanation:
Answer:
3*3*3*3*3
Step-by-step explanation:
3 to the power of 5 is 3 times 3 5 times.
452 divided 15 what would be the answer of this?
Answer:
37.67
Step-by-step explanation:
Does anyone know how to do these i'm so confused.
Answer:
Its 2/1, the slope is at the last on on the table. You can see the ratio change.
Solve for x: (5x + 28)° (4x + 30)°
Answer:
x = 2
Step-by-step explanation:
The 2 angles are vertical and congruent, thus
5x + 28 = 4x + 30 ( subtract 4x from both sides )
x + 28 = 30 ( subtract 28 from both sides )
x = 2
The table below shows y, the average speed of a cyclist in miles per hour, and x, the time in hours that it takes the
cyclist to complete a bicycle tour. Which rational function best models the data in the table?
Time, x
(hours)
12
16
2
10
Average Speed, y
(miles per hour)
8
6
9
18
6
51
201
х
O ya
96
oy - 2x
2x
3
3
Save and Exit
Next
Submit
By putting every value of table x, y = (96 / x) this gives the output of table y so that this is the correct answer.
By definition, it is known that speed equals the ratio of distance and time.
Speed = Distance / Time
Therefore, according to the definition, the last two options are the possible
Let's evaluate the First option:
y = x/96
= 12/96
= 1/8
The table is not fulfilled
Let's evaluate the Second option: (12,8)
y= 2x/3
y= 2*12/3
y = 8
NOW,
(16, 6)
y= 2x/3
2*16/3
the answer will be on a fraction
The table is not fulfilled
Let's evaluate the third option:
y = (3/2) * (1 / x)
x = 12
y = (3/2) * (1/12) = 3/24 = 1/8
The table is not fulfilled
Let's evaluate the fourth option:
y = (96 / x)
x = 12
y = (96/12) = 8
Yes, the table is met.
Option 4 ) y = (96 / x)
By putting every value of table x, y = (96 / x) this gives the output of table y so that this is the correct answer.
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write an equation that goes through the ordered pairs (2,-1) and (4,-6)
Answer:
y = -5/2x +4
Step-by-step explanation:
Find the slope:
m = (y2 - y1) / (x2 - x1)
m = (-6 - (-1)) / (4 - 2)
m = -5 /2
y = mx + b
y = -5/2x + b
Solve for b:
y = -5/2x + b
-1 = (-5/2)(2) + b
-1 = -10/2 + b
-1 = -5 + b
b = 4
y = -5/2x + 4
Mrs. Grape has 90 students. On her last test, 3/10 of these students earned an A. Of those students, 1/9 got a perfect score. How many students got a perfect score?
Answer:
3 students
Step-by-step explanation:
Mrs. Grape has 90 students. On her last test, 3/10 of these students earned an A.
Hence, the number of students that had an A = 3/10 × 90
= 3 × 9 = 27 students
Of those students, 1/9 got a perfect score.
This means of the 27 students, 1/9 had a perfect score.
This means:
1/9 of 27 students = 1/9 × 27
= 3 students
How many students got a perfect score?
Hence, 3 students got a perfect score.
A rectangle has length = 3x + 2 and width = 2x + 5
21. Find the perimeter
Perimeter =
22. Find the Area
Area =
Answer:
Perimeter-6x+4 + 4x+10= 10x+14
Area-(3x+2)(2x+5)=6x+15x+4x+10= 25x+10
The Confederation Bridge connects News Brunswick to Prince Edward Island. The main part of the bridge rests on piers that form 43 segments. One segment is 8.2 x [tex]10^{2}[/tex] feet. What is the approximate length of the bridge in scientific notation?
Answer: [tex]3.5[/tex] × [tex]10^{4}[/tex]
Step-by-step explanation:
Write an expression to represent the problem.
(8.2 × 10²) × 43
= (8.2 × 10²) x (4.3 x [tex]10^{1}[/tex])
Now, multiply.
(8.2 × 10²) x (4.3 x [tex]10^{1}[/tex])
= (8.2 x 4.3) x ([tex]10^{2}[/tex] x [tex]10^{1}[/tex])
= 35.26 x [tex](10)^{2+1}[/tex]
= 35.26 x 10³
= 3.526 x [tex]10^{4}[/tex]
pls help brainless whoever gets the answer right i only have 2 attemps left + about 16 points
Answer:
BRIIIIIIIIIIII I MISSED YOU BFF
Step-by-step explanation:
The Homerun Hitter's Academy charges thirty-five dollars per hour for batting lessons, with a registration fee of fifteen dollars per year. Janice's parents paid $155 in the month of August. Part A: Using h to represent hours, write an equation to determine how many hours of batting lessons Janice had in the month of August. Part B: Solve the equation you wrote in Part A for h
Answer:
h = 4 hours
Step-by-step explanation:
Charges per hour = $35
Registration fee = $15
Janice's parents paid $155 in the month of August.
Let
h = number of hours
equation to determine how many hours of batting lessons Janice had in the month of August.
15 + 35h = 155
B. 15 + 35h = 155
35h = 155 - 15
35h = 140
Divide both sides by 35
h = 140 / 35
= 4
h = 4 hours
The graph of G(x)=4x^2 is a vertical shrink or stretch of the parent function
Answer:
It is a vertical shrink of the parent function.
Express x in terms of y:
3(x + 2y) = 2x = 5y
Help please,
The height of a pizza box is 1 3/4 inches. What is the height in inches of 8 pizza boxes?
Answer:
14 inches
Step-by-step explanation:
1 3/4*8=
The path of water from a hose on a fire tugboat can be approximated by the equation y = −0.0045x2 + 1.15x + 10, where y is the height, in feet, of the water above the ocean when the water is x feet from the tugboat. When the water from the hose is 3 feet above the ocean, at what distance from the tugboat is it? Round answer to nearest hundredth.
Answer:
x = 261.50 ft
Step-by-step explanation:
From the question, we want to calculate the distance from the tugboat given the height of the hose above the ocean
This means y is 3 and we want to find x
Substitute value for y
3 = -0.0045x^2 + 1.15x + 10
3 + 0.0045x^2 - 1.15x - 10 = 0
That will be;
0.0045x^2 - 1.15x - 7 = 0
we can use the quadratic formula here;
a = 0.0045
b = -1.15
c = -7
Mathematically;
x = -b ± √b^2 - 4ac/2a
Thus we have;
x = 1.15 ± √(-1.15)^2 - 4(0.0045)(-7)/2(0.0045)
We have;
x = 1.15 ± 1.2035/0.009
x = (1.15+ 1.2035)/0.009
we ignore the negative since distance cannot be negative
x = 261.50 ft
Which statement is best supported by the table? Company 1 and company 4 charge the same rate per mile. Company 2 and company 3 charge the same rate per mile. Company 2 charges only a flat fee and does not charge per mile. Company 3 charges only a flat fee and does not charge per mile. Mark this and return
Answer:
Its company 1 and 4
Step-by-step explanation:
Answer:company 1 & 4
Step-by-step explanation:
just took the test;)
what is 4325000 as a scientific notation?
Answer:
4.325X10^6
hope this helps :))
Torey wants to buy a Playstation 5 for $519.25. If he saves $30 per week, how many weeks will it take him to
have enough money for the Playstation 5?
Answer:
It will take him 12 weeks
Step-by-step explanation:
Answer:
18 weeks
Step-by-step explanation:
30 × 18 = 540.00