Solve the quadratic equation 3x^2+8x=30 by completing the square.
Which expression correctly represents the solutions of the equation?
4±√74/3
-4±√106/3
8±2√106/6
-3±√26/3
Answer:
B
Step-by-step explanation:
im bad at explaining this :(
At the school festival ,heather can buy 25 game tickets for 10 dollars, or she can pay 0.50 cent per game ticket.whick option has the lesser price per ticket.
Answer:
The 10 dollars for 25 tickets
Step-by-step explanation:
can someone please help? i would really appreciate it :)
Work out the length x pls
Answer:
~17.67
Step-by-step explanation:
Pythagorean theorem
a^2+b^2=c^2
7.5^2+16^2=c^2
~17.67
Answer:
Step-by-step explanation:
We use pythagorus theorem which is; a²+b²=c²
(16cm)²+(75/10cm)²=x²
256cm²+225/4cm²=x²
1249/4cm²=x²
√1249/4cm²=√x²
312.25cm=x
Marie gets paid $ 2,000 monthly and a commission of 50 dollars for each sale she makes. Write an expression that represents her salary.
Answer:
2000+(50× x)
Step-by-step explanation:
The certain salary is 2000 but we do not know how much sale where made so the amount is placed as x inwhich will be multiples by 50 then added to 2000 to get total
what is 1983917481724869826846164619/1816498646149816496416461984628+28319727847124798-274812987198463861294=?
Answer:
-2.7478467e+20
Step-by-step explanation:
Ty google :3
Ruby's family took a road trip to Mount Rushmore. Ruby slept for the last 476 miles of the trip. If the total length of the trip was 700 miles, what percentage of the total trip had they traveled when Ruby fell asleep?
700 - 476 =
700
+476
______
1176
What is an equation in slope-intercept form for the line that passes through the points (1,-3) and (3,1)
Step-by-step explanation:
Hey there!
Note: Use double point formula for finding the eqaution which passes through two points.
Given;
The points are; (1,-3) and (3,1).
Use double point formula.
[tex](y - y1) = \frac{y2 - y1}{x2 - x2} (y - y1)[/tex]
Put all values.
[tex](y + 3) = \frac{1 + 3}{3 - 1} (x - 1)[/tex]
Simplify it.
[tex](y + 3) = \frac{4}{2} (x - 1)[/tex]
[tex]y + 3 = 2(x - 1)[/tex]
[tex]y + 3 = 2x - 2[/tex]
[tex]y = 2x - 2 - 3[/tex]
[tex]y = 2x - 5[/tex]
Therefore, the eqaution is y = 2x-5.
Alternative:
Steps:
Find slope using slope formula and use one point formula.Simplify in the form of y = mx+c form.Formula:
Slope = (y2-y1)/(x2-x1)One point formula= (y-y1)= m(x-x1)The points are; (1,-3) and (3,1).
Now;
Slope= (1- (-3))/(3-1)
= (1+3)/2
= 2
Again;
Using one-point formula.
(y+3) = 2(x-1)
y+3= 2x-2
y = 2x -5
Therefore, the equation is y = 2x-5.
(You can follow up any method you want)
Hope it helps....
5. Expand.
(a) 2(3x - 5y + 2)
(b)-3(4x + 5 – 2x2)
(c) 8(3a – 50+ 65)
(d) -4-3g + 2h- 7)
(e) 5041 - v + 2r2)
(f) -5(-x-y + 2)
(g) - 7(x2 - 2y2 + x)
(h) 12(a + 2b - 60 + 2)
Can someone explain how to expand these expressions
Answer:
A. 6x-10y+4
B.6x²-12x-15
C.24a+120
D.12g-8h+28
Round the price to the nearest dollar.
crackers $1.28
Answer:
$1
Step-by-step explanation:
You only round up when the number next to the number they are asking is 5 or higher
Answer:
$2
Step-by-step explanation:
You do not want to bring $1 to buy crackers because you wouldn't have enough and you would go home with no crackers.
Help needed. Only 1-5 is needed help on plz and ty
Answer:
number 5 is y= 3 7-3=4x4=16
Step-by-step explanation:
Rewrite in simplest terms: 9(-6r – 3) + 2(r +9)
Answer:
I think its 'r= 15/7=0.467'
Step-by-step explanation:
You only have to answer 7,8 but if you want you can do 9 and 10
Answer:
#7) x = 3
#8) x = 9
Step-by-step explanation:
# 7
Well AOB + BOC = AOC so...
4x - 1 + 2x + 15 = 8x + 8 (collect like terms)
6x + 14 = 8x + 8 (subtract 8 on each side)
6x + 6 = 8x (subtract 6x on both sides)
6 = 2x (divide by 2 on both sides)
3 = x
#8
COD + BOC = BOD so..
8x + 13 + 3x - 10 = 12x - 6 (collect like terms)
11x + 3 = 12x - 6 (add 6 on both sides)
11x + 9 = 12x (subtract 11x on both sides)
9 = x
Hope this helps!!
GUYS PLEASE HELP ME ive been struggling with this for the past 15 minutes
Answer:
Loading Answer...
Step-by-step explanation:
Loading Explanation...
use a single digit times a power of 10 to estimate the number 0.00007264
Answer:
0.0007264
Step-by-step explanation:
I think it is right but if not I am so sorry! Hope this helps!
A group of students was asked, "How many hours did you watch television last week?" Here are their responses: 9, 16, 11, 19, 4, 10, 15, 19
Answer:
So what's your Question.
I think The Mean ????
Step-by-step explanation:
So it is Add all the Values which is 103
Divide it by no. of Values which is 8
You'll get 12
Which is Mean !!!!
1.
Susan has five blocks of candy. She wantsstwo ciwe chook into -size pieces of
candy. How many pieces of candy willstrebe anettonale?
Check
Your Understanding
Marcos deposited $500 into a 2.5-year simple interest account. He wants to earn $50 interest. What interest rate must the account pay?
The account must pay a 40 percent interest rate under Marcos.
A basic interest account is what?A loan's or deposit's initial principal serves as the foundation for simple interest.
Contrarily, compound interest is calculated based on both the principal amount and the interest that is accrued on it each period.
Simple interest is simpler to compute than compound interest because it is just applied to the principal.
based on the information provided,
500+x=200
x=200/500
x=40
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PLS HELP FIND ANGLE MEASUREMENTS
Answer:
From my observations, AOB looks like an isosceles triangle, so A=18 and B=18. Since a triangle must add up to 180. We do 180-18-18=144. O= 144. Then, triangle BOC looks like an isosceles triangle as well. So, we do 180-144= 36 so O = 36 and then we 180-36=144/2 because two sides have the same angles giving us 72 degrees for angles B and C = 72 and for O= 36
So,
x = 72
y = 36
Write 0.15 as a fraction in simplest
Answer: 3/20 also known as 15% Hope this helps Have a great night
Step-by-step explanation:
Solve : 2/3+(x)=3
A)-4/3
B)-7/3
C)4/3
D)7/3
Answer:
a
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
2/3+x=3
Step 1: Subtract 2/3 from both sides.
x+ 2 /3 − (2/3 )=3−(2/3)
You'll end up with 7/3 :D
have a great day! :D))
do all of the digits in 8.88 have the same value? and explain why.
Answer:
No
Step-by-step explanation:
Mitochondria is the powerhouse of the cell
Graph this line using the slope and y-intercept:
y = 8x - 6
Click to select points on the graph.
8
6
4
No
-6
-4
-2
-10
-8
0
co
4
2
6
10
-2
-4
-6
CO
-104
The graph of the equation y = 8x - 6 is a straight line.
What is slope intercept form?The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept
(0, b).
Given is an equation, y = 8x - 6
Finding the coordinates,
Put x = 0, y = -6
(0, -6)
Put y = 0
8x = 6
x = 0.75
(0.75, 0)
Plotting the graph,
Hence, we will get a straight line of the graph.
Learn more about slope intercept form, click;
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You purchased concentrated cleaner that must be diluted before use. Container a is the cleaner, which is 20% solution. Container b is pure water. You are mixing together the contents of container a and container b to produce 40 gallons of 9% solution. How many gallons from each container are needed to create the 40 gallons of 9% cleaning solution?
Answer:
18 gallons from container [tex]a[/tex] and 22 gallons from the container [tex]b[/tex] to be mixed to get the required mixture.
Step-by-step explanation:
Given that the container [tex]a[/tex] has 20% concentrated cleaner
and container [tex]b[/tex] has pure water which has 0% cleaner.
Let x gallons from container a and y gallons from the container b are mixed to get a 9% concentrated solution.
So,
[tex]9\%\; \text{of}\; (x+y) = (20\% \; \text{of}\; x )+(0\% \; \text{of}\; y)\cdots(i)[/tex]
As the total amount of the final solution= 40 gallons
So, [tex]x+y=40\cdots(ii)[/tex]
Using the value of equation (ii) in equation (i), we have
9% of 40 = 20% of x
[tex]\Rightarrow 0.09\times 40=0.2 \times x[/tex]
[tex]\Rightarrow x=\frac{0.09\times 40}{0.2}[/tex]
[tex]\Rightarrow x=18[/tex] gallons.
From equation (ii),
18+y=40
[tex]\Rightarrow y=40-18=22[/tex] gallons.
Hence, 18 gallons from container [tex]a[/tex] and 22 gallons from the container [tex]b[/tex] to be mixed to get the required mixture.
i need help with this
Answer:
Hey there..Sorry but, I don't know the answer to this..! Wish I could help.
Write a linear equation in point-slope form of the line that has a slope of
and passes
through the point (3,-2).
Answer: (y+2)+=15(x+3) or (y+1)+15(x-2)
Step-by-step explanation:
Please help. It’s due today
Answer:
There's nothing there I believe you forgot to add a link just add or create another question and i'll see what I can do :)
Step-by-step explanation:
A right triangle has leg lengths of 3.4 cm and 6.7 cm. Which answer below shows the length of the triangle’s hypotenuse rounded to the nearest tenth? A. 8.5 cm B. 7.5 cm C. 5.5 cm D. none of the above
Answer:
The answer is B
Step-by-step explanation:
78 is 0.6% of what number? Use pencil and paper. Would you expect the
answer to be a lot less than 78, slightly less than 78, slightly greater than 78, or
a lot greater than 78? Explain.
78 is 0.6% of
(Type an integer or a decimal.)
Answer:
Answer is
13000
Step-by-step explanation:
78÷0.6%=13000
What form is the equation below written in?
y= (x - 2)2 – 9
-Factored Form
-Standard Form
-Slope-Intercept Form
-Vertex Form
Answer:
Vertex FormStep-by-step explanation:
Vertex form of quadratic function with vertex (h, k) is y=a(x-h)²+k,
So y= (x - 2)² - 9 is vertex form with vertex (2, -9)