Answer: A.) X= -4,1
Step-by-step explanation:
edge 2021
The correct option is Option A: The solution of the quadratic equation is x= -4 and 1.
What is the quadratic formula?The quadratic formula is the method for solving and finding the solution of the quadratic equation ax²+bx+c=0.
The solution of the quadratic equation ax²+bx+c=0. by the quadratic formula is given by
x= {-b±√(b²-4ac)}/2a
Here b²-4ac is discriminant denoted by D.
D= b²-4ac
Given the quadratic equation is
x²+3x-4=0
for solving by the quadratic formula
comparing the above equation by ax²+bx+c=0
a=1
b=3
c=-4
The solution of this quadratic equation will be
x= {-b±√(b²-4ac)}/2a
⇒x= {-3±√(3²-4.1.(-4))}/2.1
⇒x= {-3±√(9+16)}/2
⇒x= {-3±√25}/2
⇒x=(-3±5)/2
⇒x= (-3+5)/2 OR (-3-5)/2
⇒x= 2/2 OR -8/2
⇒x=1 or -4
By checking all the options
Therefore the correct option is Option A: The solution of the quadratic equation is x= -4 and 1
Learn more about the quadratic formula
here: https://brainly.com/question/8649555
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You Spin The Spinner The Numbers on it are: 1,2,2,2,3,3,3,1, in how many ways can spinning 1 occur
Answer:
1/4
Step-by-step explanation:
Probability (spinning 1) = 2/8
= 1/4
Answer:
2 over 8
Step-by-step explanation:
so there are 8 numbers altogether. there are 2 1s in all so it would be 2 over 8
Evaluate each expression if a = 6, b = 3, and c = 2.
A | 6 + c
B | a - b
C | 2 c
D | a - 1
E | c + 4
F | a/b
G | b ÷ 3
H | ab
NEED HELP ASAP
A car rental agency charges $50.00 per day plus $0.18 for each mile driven (x). The total cost for one day's rental can be calculated using the expression below.
$0.18x + $50.00
Using this expression, how much will it cost to rent a car for one day and drive 192 miles?
Answer:
I think it's $50.18 I'm not sure . hope that I helped you .
Naomi plotted the graph below to show the relationship between the temperature of her city and the number of popsicles she sold daily:
A scatter plot is shown with the title Naomis Popsicle Stand. The x axis is labeled High Temperature, and the y-axis is labeled Number of Popsicles Sold. Data points are located at 90 and 20, 85 and 17, 70 and 14, 75 and 20, 60 and 16, 50 and 14, 60 and 12, 40 and 10, 50 and 12, 80 and 8.
Part A: In your own words, describe the relationship between the temperature of the city and the number of popsicles sold. (2 points)
Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate the slope and y-intercept. (3 points)
Answer:
Answer:
A. The temperature of the city and the number of popsicles sold are positively correlated
B.
Slope: 0.1233
Y-Intercept: 6
Step-by-step explanation:
Being dead honest with you less people will answer if there isn;t a photo, But I can't be 100% sure of my answer being there isn't one.
(90,20)
(40,10)
40-90= -50
10-20= -10
-10/-50= 0.2
Thats the slope line I used 2 random numbers, I don't know the order so it might be wrong.
Well look at your graph are the lines going up or down as x increases?
From my assighment it is a increase.
Q. You do lawn work for $13 an hour, but charge a $7.5 transportation cost. What rule
represents your business model?
answer choices
Cy=13x + 7.5
f y=13x - 7.5
By=20.5%
Dy=7.5x + 13
Answer:
Cy
Step-by-step explanation:
x is the number of hours
PLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!!
Answer:
B
Step-by-step explanation:
cause f ones have 5 lb and t ones have 2.5 lb
Answer:
B
Step-by-step explanation:
The correct answer is B!
pls help asap no wrong answer pls
Answer:
Answer in explanation
Step-by-step explanation:
Probability of Magic elf =
[tex]p(elf) \times p(magic) \\ = \frac{1}{3} \times \frac{1}{5} \\ = \frac{1}{15} or \: 0.66667[/tex]
Answer:
6.66%
Step-by-step explanation:
There is a 1/3 chance of getting the character you want and 1/5 chance of getting the weapon you want. So the probability is 1/3*1/5=1/15 or 6.66%.
What is the equation of the line that passes through the point (4,2) and is
parallel to the line represented by
y - 4 = 1/2(x + 3)?
Answer:
Step-by-step explanation:
If they are parallel, that means the slope is the same. We can then use the slope point form: y - y1 = 1/2(x - x1) which is the form in the question as well.
Given that there is a point at (4,2), the equation of the line is then
y - 2 = 1/2(x-4)
Answer:
[tex]y=\frac{1}{2} x[/tex]
Step-by-step explanation:
Find the slope of the original line and use the point-slope formula
[tex]y-y_{1} =m(x-x_{1} )[/tex]
to find the line parallel to
[tex]y-4=\frac{1}{2} (x+3)[/tex].
What is the result of −14⋅−1249?
Answer:
138
Step-by-step explanation:
Hope you have a wonderful day!
. The perimeter of a square is 8y – 12. The area of the square is 100 square units. What is the value of y?
Answer:
y = 6.5 units
Step-by-step explanation:
Let L be the length of sides of the square.
Given the following data;
Perimeter of square = 8y - 12
Area of square = 100 square units
To find the value of y;
Area of a square = L²
Substituting into the formula, we have;
100 = L²
L = √100
L = 10 units
Mathematically, the perimeter of a square is given by the formula;
Perimeter of a square = 4L
Substituting into the formula, we have;
8y - 12 = 4*10
8y - 12 = 40
8y = 40 + 12
8y = 52
y = 52/8
y = 6.5 units
Please helpppp tyy :)
Answer:
5x + 3
Step-by-step explanation:
2. Find the 6th term of each geometric sequence
9, 45, 225, 1125,...
Answer:
28125
Step-by-step explanation:
The [tex]n[/tex]th term of your geometric sequence is [tex]9\cdot5^{n-1}[/tex]. This means that the 6th term is [tex]9\cdot5^{6-1}=28125[/tex].
Please find the area of this rectangle.
Answer: third choice A=6x^2-7x-3 inches squared
Step-by-step explanation:
Evaluate 8d, when d=12
Evaluate 75/d (75 divide by d), when d = 5
Evaluate 6p^2 + 8(6 times p to the second power plus 8), when p = 4
Answer:
9615104Step-by-step explanation:
Given:
d = 12 find 8dd = 5 find 75/dp = 4 find 6p² + 8Computation:
d = 12 find 8d
8(12)
96
d = 5 find 75/d
75 / 5
15
p = 4 find 6p² + 8
6(4)² + 8
6(16) + 8
96 + 8
104
A value of a car is $24,000. You pay it off by making payments of $6200 a year. Write and equation for when the car would be payed off
Answer: 24,000 / 6,200 = x years
Step-by-step explanation:
The car is valued at $24,000.
Yearly payments are $6,200.
The year that it will be paid off can be dtermined by calculating how long it would take $6,200 to get to $24,000.
You can do that by dividing $24,000 by $6,200.
Assume the number of years for the car to be paid off is x:
24,000 / 6,200 = x years
When solved:
= 24,000 / 6,200
= 3.87 years
A right prism has a square base and volume, V, of 576 cubic centimeters. The height, h, of the prism is 16 centimeters. Find the area of the base, B. A. B. C. D.
Answer:
36
Step-by-step explanation:
the volume of the prism is, the area of the base x height
.
b x 16 = 576
b = 36
so the answer is 36
Answer:
C) 36
Step-by-step explanation:
1000 chicken wings weighs 3000 g how many grams in one chicken wing weigh
Answer:
3 grams are in one chicken wing
Step-by-step explanation:
Set up an equation:
Variable x = grams per 1 chicken wing
1000/3000 = 1/x
Cross multiply
1000 × x = 3000 × 1
1000x = 3000
Divide both sides by 1000 to isolate the variable x
x = 3
Answer:
3
Step-by-step explanation:
3000/1000=3
Can someone really help me please!!
need help How much wrapping is needed to cover a cubed gift box that is 9 inches high? (Include the bow which takes 115 sq. inches.)
Answer:
601 square inches
Step-by-step explanation:
We are to find the surface area of a cube
The surface area of a cube is = 6a²
Where a = side length
From the above question,
a = 9 inches
Hence,
Surface area = 6 × 9²
= 486 square inches
We are asked to include the surface area of the bow which is given as: 115 square inches
Total Surface Area of the cube(With the bow included) = (486 + 115)square inches
= 601 square inches
Answer:
601 square inches
Step-by-step explanation:
Other guy is right i'm just here to confirm since i had it on my test
The price of a scooter was Rs. 34000 last year. It has increased by 25% this year. Then the increase price is? Please in step by step answer method. I will mark you branliest.
Answer:
Rs. 42500
Step-by-step explanation:
100% + 25% = 125% ÷100 = 1.25
34000 x 1.25 = 42500
please answer this question
Answer:
0.3
Step-by-step explanation:
is my answer rightt!!
Answer:
Siiiiii
Step-by-step explanation:
I need help with this question
Answer:
[tex]\text{log}_a(1.5^{-1})=\frac{-9}{5}[/tex]
Step-by-step explanation:
Given;
[tex]\text{log}_a(2)=\frac{1}{2}[/tex]
[tex]\text{log}_a(3)=5[/tex]
By using logarithmic properties,
[tex]\text{log}_a(2)-\text{log}_a(3)=\frac{1}{2}-5[/tex]
[tex]\text{log}_a(\frac{2}{3})=\frac{1}{2}-5[/tex]
[tex]\text{log}_a(\frac{1}{\frac{3}{2}})=\frac{1}{2}-5[/tex]
[tex]\text{log}_a(\frac{1}{1.5})=\frac{1}{2}-5[/tex]
[tex]\text{log}_a(1.5^{-1})=\frac{1-10}{5}[/tex]
[tex]\text{log}_a(1.5^{-1})=\frac{-9}{5}[/tex]
so i am hqving trouble with a particular question and hoping somebody could help me with it. this is the particular question 47 + 10x = -10x + 7
Step-by-step explanation:
given 47 + 10x = -10x + 7
[tex]47 + 10x = - 10x + 7 \\ 47 + 10x + 10x = 7 \\ 47 + 20x = 7 \\ 20x = 7 - 47 \\ 20x = - 40 \\ x = - 40 \div 20 \\ = - 2[/tex]
A motorcyclist leaves City A and rides at a constant speed towards City B, which is 225 km away. After 1.5 hours, the motorcyclist stops a half an hour lunch. To reach City B on time, the motorcyclist increases his speed after lunch by 10km/hour. Find the motorcyclists original speed
Answer:
50 km/hr
Step-by-step explanation:
OK, this is how I solved this problem.
Let r = original rate of speed
t = time after the stop to finish the trip
Time for trip without stopping is 225/r
(1) 1.5 + .5 + t = 225/r This is a time equation
(2) 1.5r + t(r + 10) = 225 This is a distance equation
(1) 2 + t = 225/r (2) 1.5r + tr + 10t = 225
2r + tr = 225
tr = 225 - 2r 1.5r + 225 - 2r + 10(225/r - 2) = 225
t = 225/r - 2
-.5r + 225 + 2250/r - 20 = 225
-5r + 2250 + 22500/r - 200 = 2250
-5r^2 + 2250r + 22500 - 200r = 2250r
5r^2 + 200r - 22500 = 0
5(r^ + 40r - 4500) = 0
5(r - 50)(r + 90) = 0
r = 50 or r = -90
The rate cannot be negative, so the original speed 50 km/hr
This not an easy problem and I hope you were able to follow my work
Answer:50km hope that helped pls mark me brainliest :))
what is needed for a shape to be even
The radius of a circle is 6 inches. What is the area of the circle in square inches? Round your answer to the nearest tenth.
Answer:
I think 113.04
Step-by-step explanation:
The formula for the area of the circle is:
A=
[tex]\pi \times r { }^{2} [/tex]
Resolving:
[tex]\pi \times 6 {}^{2} = 113.097[/tex]
Plzz help will mark brainliest don't do it for the points plzz!!!!
The drama club was selling tickets to the school play. Adult tickets cost $8.00 each, and student tickets cost $5.00 each. The little theater holds 142 people and was sold out for both Friday and Saturday. The total sales for the two days were $1,940. How many people got tickets for both Friday and Saturday combined
Answer:
108 student tickets, and 176 adult tickets were sold
Step-by-step explanation:
Adult ticket $8 Call the number of adult tickets sold "a"
Student ticket $5 Call the number of student tickets sold "s"
Since we are talking about TWO consecutive days of sold out seats, the total number of seats sold were 2* 142 = 284
Then we create two different equations with the information given:
a + s = 284
8 * a + 5 * s = 1948
we can solve for s in the first equation as follows: s = 284 - a
and use it in the second equation
8 a + 5 (284 - a) = 1948
8 a + 1420 - 5 a = 1948
combining
3 a = 528
a = 528/3
a = 176
we find the number of student tickets using this answer in the substitution equation we used:
s - 284 - 176 = 108
Therefore 108 student tickets, and 176 adult tickets were sold.
Help me find measure of angle 1!