Answer: x₁=7, x₂=-1
Step-by-step explanation:
(x-3)^2= x^2-6x+9
2(x^2-6x+9)=28+4
x^2-6x+9=16
x^2-6x-7=0
you use the quadratic equation will give you 2 roots,
x₁=7, x₂=-1
Given parallelogram SNOW, diagonals SO and NW intersect at D.
If SD = 9x+5 and OD = 13X - 3, find the length of SO
Answer:
The length of SO is 46 units
Step-by-step explanation:
In a parallelogram, diagonals bisect each other, which means meet each other in their mid-point
∵ SNOW is a parallelogram
∵ SO and NW are diagonals
∵ SO ∩ NW at point D
→ That means D is the mid-point of SO and NW
∴ D is the mid-point of SO and NW
∵ D is the mid-point of SO
→ That means D divide SO into two equal parts SD and DO
∴ SD = DO
∵ SD = 9x + 5
∵ DO = 13x - 3
→ Equate them
∴ 13x - 3 = 9x + 5
→ Subtract 9x from both sides
∵ 13x - 9x - 3 = 9x - 9x + 5
∴ 4x - 3 = 5
→ Add 3 to both sides
∵ 4x - 3 + 3 = 5 + 3
∴ 4x = 8
→ Divide both sides by 4
∴ x = 2
→ To find the length of SO substitute the value os x in SD and DO
∵ SO = SD + DO
∵ SD = 9(2) + 5 = 18 + 5 = 23
∵ DO = 13(2) - 3 = 26 - 3 = 23
∴ SO = 23 + 23 = 46
∴ The length of SO is 46 units
in march, Arnold finds a guitar with a price of $650 that he wants to buy, but he only has $300 saved. In September, Arnold has 75% more money saved, and the guitar is on sale for a 30% discount off the original price. The sales tax is 5% of the sale price. Does Arnold have enough money to buy the guitar in September? justify your answer
Answer:
Yew, he has enough money to buy the guitar in september.
Step-by-step explanation:
300*0.75=225 300+225=525
650*0.35=195 650-195=455
sales tax: 455*0.05=22.75 455+22.75=477.75
Yes , Arnold have enough savings to buy the guitar
Savings amount of Arnold is $ 525 and the price of the guitar is $ 477.75
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the original price of the guitar be = $ 650
Let the initial savings of Arnold be = $ 300
Now , Arnold saved 75 % more than what he actually had
And , the equation will be
So , the new savings of Arnold is = 300 + ( 75/100 ) x 300
The new savings of Arnold is = 300 + ( 300 x 0.75 )
The new savings of Arnold is = 300 + 225
The new savings of Arnold is = $ 525
Now , the price of the guitar is discounted by = 30 %
And , the equation will be
So , the new price of the guitar after discount is = 650 - ( 30/100 ) x 650
The new price of the guitar after discount is = 650 - ( 650 x 0.30 )
The new price of the guitar after discount is = 650 - 195
The new price of the guitar after discount is = $ 455
Now , A sales tax of 5 % is priced on the guitar
And , the equation will be
So , the sale price of the guitar is = 455 + ( 5/100 ) x 455
The sale price of the guitar is = 455 + 22.75
The sale price of the guitar is = $ 477.75
Now , the new savings of Arnold is greater than the sale price of the guitar
$ 525 > $ 477.75
Therefore , Arnold have enough savings to buy the guitar
Hence , Yes , Arnold have enough savings to buy the guitar
Savings amount of Arnold is $ 525 and the price of the guitar is $ 477.75
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After completing the fraction division 5 divided by five-thirds, Miko used the multiplication shown to check her work. 3 times five-thirds = StartFraction 3 Over 1 EndFraction times five-thirds = StartFraction 15 Over 3 EndFraction or 5 Which is the most accurate description of Miko's work? Miko found the correct quotient and checked her work using multiplication correctly. Miko found the correct quotient but checked her work using multiplication incorrectly. Miko found an incorrect quotient but checked her work using multiplication correctly. Miko found an incorrect quotient and checked her work using multiplication incorrectly.
Answer:
Miko found an incorrect quotient and checked her work using multiplication incorrectly.
Step-by-step explanation:
The given expression is
[tex]\dfrac{5}{\dfrac{5}{3}}[/tex]
Applying the reciprocal rule we get
[tex]5\times \dfrac{3}{5}=5[/tex]
What Miko did was
[tex]3\times \dfrac{5}{3}=\dfrac{3}{1}\times\dfrac{5}{3}=\dfrac{15}{3}\ \text{or}\ 5[/tex]
So, Miko took the wrong values of the quotients and applied multiplication incorrectly.
Hence, Miko found an incorrect quotient and checked her work using multiplication incorrectly.
Bernite is selling candy bars for a school fundraiser. The school paid $20.00 for a box of 15 king-size candy bars and Bernite sells them for $2.00 each. What is the relationship between the amount of candy sold and the amount of money earned?
The relationship is linear.
The relationship is non-linear.
The relationship is proportional.
The relationship is non-proportional.
The relationship always results in a positive profit.
The relationship always results in a negative profit.
Answer:
linear and positive profit
Step-by-step explanation:
can you help me pls
Step-by-step explanation:
I'm not sure but
bc = -2 -1
ac= -8 -1
ab= -8 -2
de= 5 7
those numbers there subtract them from the other. like the 1st one is 3 (2- -1)
I picked the blue one, was I correct?
Answer:
Yea i think it is the first one
Step-by-step explanation:
Please i need help jk im lazy ZZZzzzzzz
Answer:
the first one is $6.66
Step-by-step explanation:
the 3 items added up is 74 cents, then 74 is multiplyed by 9.
I NEED HELP ASAP!!!
I will mark the correct answer the brainliest!!!
Part A: Linear Equation (=)
1. Name all the equations of the lines found on the coordinate plane.
Line A:
Line B:
Line C:
Line D:
Line E:
Line F:
Line G:
2. Draw the lines described below and answer the questions that follow.
H. Passes through the point (5, -11) and is perpendicular to the y-axis. What is the equation of the line?
I. Passes through the point (-1, -13) and the slope is zero. What is the equation of the line?
J. Passes through the point (0, -15) and is parallel to the x-axis. What is the equation of the line?
Part B: Linear Inequalities (<, <=, >, >=)
Colors must be outside the start.
1. Color the shaded region for the following inequalities:
Orange: y >= 2x + 9
Red: y >= x
Green: y >= -11
Blue: y >= -13
Green: y <= -13
2. Answer the questions below:
A. Write an inequality for line B if it is a dashed line and shaded below. Answer:
B. Write an inequality for line E if it is a solid line and shaded below. Answer:
C. Where will the shade be if the inequality is y >= 6? Answer:
D. What will be the line for y < 6? Answer:
13x - 37 = 2x + 13 find DE
Answer:
Forma exacta:
x=50/11
During a sale, a store offered a 40% discount on a particular camera that was originally priced at $450. After the sale, the discounted price of the camera was increased by 40%. What was the price of the camera after this increase?
Answer:
378
Step-by-step explanation:
Remark
This is a question that all investors in stocks should be aware off. It does not come back to 450 dollars.
Step One
Find out the price of the discounted camera.
40% reduction price = 450 - (40/100)*450
40% reduction price = 450 - 180 = 270
Step Two
Now add 40% onto the new price.
New price = Reduced price + 40% of reduced price
New Price = 270 + 40%* 270
New Price = 270 + 108
New Price = 378
Remark
The reason stock investors should be aware of this is that if you take a 40% loss on a stock it takes more than a 40% gain to make the price of your stock loss back.
Best answer gets brainliest hurry ASAP
witch of the following best forms the figure shown. iready
Adam is a field goal kicker. If he made 30 field goals out of his last 32 attempts, what percent of the attempts did he make?
What is the answer for (3x - 9)
Answer:
3(x−3) I think that is right I am not sure
Step-by-step explanation:
which graph correctly represents y=4/5x+6
Answer:
it is option 1 :) :) :) :)
50 POINTS | I NEED FULL STEP BY STEP ANSWER FOR EACH PROBLEM
Answer:
Step-by-step explanation:
Pls help me to solve this <3
11. -4, -2, 0, 2 this for y not x,y
12. 4, 0, 2, 1 this for y not x,y
<3
A car is 170 inches long. A truck is 85% longer than the car.
How long is the truck
Answer:
Step-by-step explanation:
if the car is 170 inches long
the truck is 85% longer
(170*85)/100=144.50 longer
the truck is 170+144.50=314.50
Answer:
314.5 inches100-85=15
170*0.15=25.5
170-25.5=144.5
170+144.5=314.5 inches
Simplify the fraction 44/77 as much as possible.
Answer:
4/7
Step-by-step explanation:
Need help can some help me explain what the measure of angle A is
Answer:
106
Step-by-step explanation:
side a and c have to equal 180
Can i have some help
Answer:
y = -1/3x
Step-by-step explanation:
The slope of that are perpendicular lines are negative opposites of each other. If a line has a slope of 3, then a line perpendicular to it will have a slope of (-(1/3)).
Use the equation of a line in point-slope form to solve this;
y = mx + b
where "m" is the slope and "b" is the y-intercept.
Substitute the slope in;
y = (-1/3)x + b
Since it passes through the origin, then it has no y-intercept, therefore the equation of the line is;
y = -1/3x
vi. Which one of the following is NOT a perfect square?
a. 625
b. 156
c. 196
Answer:
b. 156
Step-by-step explanation:
A "perfect square" is the product of an integer that is being multiplied by itself.
Choice a, 625, is a perfect square because it is the product of 25 multiplied by itself.
25 x 25 = 625Choice b, 156, is not a perfect square because you cannot find any integer that can be multiplied by itself that will result in 156 as a product. Therefore, this is the correct answer.
Choice c, 196, is a perfect square because it is the product of 14 multiplied by itself.
14 x 14 = 196If x= 100, what is the value of 47x ?
A. 20
B. 40
C. 100
D. 200
Answer:
It isn't there but 4,700 is the correct answer
Step-by-step explanation:
If x = 100 then we have to multiply 47 by 100 which gives us 4,700.
I
If 3 lb. of candy cost $20. 25, how much
would 1 lb. of candy cost?
HELP
Answer:
1lb would be 6.75 because you need to divide 20.25 by 3 lb
Step-by-step explanation:
$265 worth of tickets were sold Adult tickets cost $6 Child tickets cost $2.50 • 57 tickets were sold. How many adult tickets were sold?
Answer:
35 adult tickets were sold
Step-by-step explanation:
If 35 adult tickets were sold, that would be $210
If 22 child tickets were sold, that would be $55
When you add them together, you get 57 tickets and $265.
(I'm sorry I don't know how to explain this but I hope it helped anyway)
A car dealership bought a car for $10,000 and sold the car for $12,000
What was the percent change? *
Answer:
20%
Step-by-step explanation:
The fraction 24/28 in simplest form is
Answer:
6/7
Step-by-step explanation:
greatest common factor: 4
24/4=6
28/4=7
Janna and Travon are creating posters for the school play. Together they will have f(t) posters after creating posters for t hours. f(t) = 5t + 3 The function f represents the fact that every hour —
Answer:
8posters are created
Step-by-step explanation:
Given the function that represents the total number of posters expressed as
f(t)= 5t+3
The total posters every hour occur at t = 1hr
Substitute into the equation
f(1) = 5(1)+3
f(1) = 5+3
f(1) = 8
Hence the function f represents the fact that every hour, 8posters are being created
Can you guys please help me ill give brainliest
Answer:
The answer is C i think not that sure
Step-by-step explanation:
I need help please
Answer:
9/4 ÷ 3/2
Step-by-step explanation:
2 1/4 = 9/4