Solve the quadratic equation by using a numeric approach.
0.02x squared + 0.5x - 4 = 0
a. x = 1.3 and x = -23.2
c. x = 5.6 and x = -32.3
b. x = 2.8 and x = -20.5
d. x = 6.3 and x = -31.3
The solution to the quadratic equation by using a numeric approach
are x = 6.3 and x = -31.3
Given the quadratic function expressed as;
0.02x²+ 0.5x - 4 = 0
Multiply through by 100 to have;
2x² + 50x - 400 = 0
Using the general formula to solve:
x = -50±√2500-4(2)(-400)/2(2)
x = -50±√2500+3200/4
x = -50±75.49/4
x = -31.3 or 6.3
Hence the solution to the quadratic equation by using a numeric approach
are x = 6.3 and x = -31.3
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Question 14 of 25
Does this graph show a function? Explain how you know.
O A. No; the graph fails the vertical line test.
O B. No, there are y-values that have more than one x-value.
C. Yes; the graph passes the vertical line test.
O D. Yes, there are no y-values that have more than one x-value.
Using the function concept, it is found that the correct option is:
C. Yes; the graph passes the vertical line test.In a function, one value of the input can be related to only one value of the output. In a graph, it means that for each value of x(horizontal axis), there can only be one respective value of y(vertical axis). If it happens, it means that the graph passes the vertical line test.In this graph, for each value of x, there is only one value of y, hence it passes the vertical line test, and option C is correct.
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Men to women working for a company ie 2 to 3 if there are 80 employees total how many men work for the company
Answer:
32
Step-by-step explanation:
the number of Significant Figures in 13410000 *
Answer:
hhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
hhhhhhhhhhhh
Answer:
4
Step-by-step explanation:
13410000
Sig Figs4
13410000
Decimals0
Scientific Notation1.341 × 107
E-Notation1.341e+7
Words thirteen million four hundred ten thousand
4х + Зу = — 15
Зу = 2х + 3
Answer:
(- 3, - 1 )
Step-by-step explanation:
4x + 3y = - 15 → (1)
3y = 2x + 3 → (2)
Substitute 3y = 2x + 3 into (1)
4x + 2x + 3 = - 15
6x + 3 = - 15 ( subtract 3 from both sides )
6x = - 18 ( divide both sides by 6 )
x = - 3
Substitute x = - 3 into (2)
3y = 2(- 3) + 3 = - 6 + 3 = - 3 ( divide both sides by 3 )
y = - 1
solution is (- 3, - 1 )
Find the area in square feet of a rectangle with a base of 3 feet and a height of 4 1/3 feet.
Answer:
13 ft^2
Step-by-step explanation:
Area = Base * Height
= 3 * (4+1/3)
=3*(13/3)
=13
Last year, 50 students attended the movie night. This year, 65 students attended the movie night. fine the percent of increase in the number of students who attended the movie night.
Answer: 30%
Step-by-step explanation:
It increased by 15 so it increased by 15/50=30/100=30%
I hope this helped!
A triangular prism is 18 centimeters long and has a triangular face with a base of 12 centimeters and a height of 8 centimeters. The other two sides of the triangle are each 10 centimeters.
What is the surface area of the triangular prism?
Answer:
672 sq cm
Step-by-step explanation:
Each triangular base is 1/2 (12 * 8) or 48, making them = 96.
One of the sides is 12 x 18 = 216
The other 2 sides are 10 x 18 = 180 x 2 = 360
Add them all together to get 672 sq cm
HELP ME OUT PLEASE!!!
Which function represents the relationship between x and y?
D) y = x - 2
C) y = x + 4
B) y = 2x
A) y = x + 2
Answer:
The Answer is "A"
Step-by-step explanation:
x+2=y
William drove 344 miles in 8 hours. If he continued at the same rate, how far would he travel in 17 hours?
Answer:
731 miles
Step-by-step explanation:
344 miles / 8 hours = 43 mph
17 hours * 43 mph = 731 miles
A rectangle that measures 2 inches by 4 inches.
What is the area of the rectangle?
Answer:
8 in
Step-by-step explanation:
because 4 x 2 = 8 inches squared
Answer:
8 inches²
Step-by-step explanation:
formula for the area of a rectangle is l x w
2 inches x 4 inches = 8 inches.
Area is written in (unit)²
so, the area of the rectangle is 8 inches²
A 7-pound bag of lollipops costs $12.18. What is the unit price?
Answer:
The unit price is 1.74$
Step-by-step explanation:
12.18 / 7
is 1.74
Sharon wants to buy a shirt that cost $60. The sales tax is 5%. How much is the sales tax. What is her total cost for the shirt?
Solve |2x - 5| = 4.
a. {x | x = 0.5 or x = 4.5}
b. {x | 0.5 < x < 4.5}
c. {x | x = -4.5 or x = 4.5}
Expand and simplify 2(3x – 5) + 3(2x + 3)
Answer:
hope it helps
..........
expand the following 8(x-3)
Answer:
8x-24
Step-by-step explanation:
First you do:
8×x which is 8x
Then you do:
8×-3 which is -24
Then you put it into 1 expression:
8x-24
Answer:
8−24
Thank You!
In trapezoid DEFG, EG = 24.3 and DH = 9.4. Identify HF.
Answer:
HF = 14.9
Step-by-step explanation:
Clara is making a pennant. She attaches a rectangle that is 1 inch wide and 6 inches long to a triangle that has a base of 6 inches and a height of 28 inches. What is the area of the
pennant?
The area of the pennant made by Clara is 90 in²
Area
Area is the amount of space taken up by a two dimensional figure. It measures the quantity of space covered by the figure.
Area of the rectangle = length * width = 6 in * 1 in = 6 in²
Area of triangle = (1/2) * base * height = (1/2) * 6 in * 28 in = 84 in²
Area of the pennant = 6 in² + 84 in² = 90 in²
The area of the pennant made by Clara is 90 in²
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Answer:
90in^2
Step-by-step explanation:
Area of the rectangle = length times width = 6 x1 = 6 in^2
then the Area of triangle = 1/2 base times height = (1/2) x 6 x 28= 84 in^2
and the Area of the pennant is = 6 + 84 = 90 in
Step-by-step explanation:
David plays baseball 18 times each month for 3 months. He also plays soccer 15 times each month for 3 months. How many more times does he play baseball than soccer each month?
Plzz help asp
Answer:
3
Step-by-step explanation:
3 months baseball = 18 x 3 = 54
3 months soccer = 15 x 3 = 45
54-45 = 9
9 / 3 = 3
David plays baseball 3 more times than soccer each month.
David plays 3 more times baseball than soccer each month.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
David plays baseball for 3 months, and each month he plays 18 times.
Also, David plays soccer for 3 months, and each month he plays 15 times.
In 3 months, David plays baseball = 18 x 3 = 54
Also, in 3 months, David plays soccer = 15 x 3 = 45
The more number of times David plays baseball than soccer
= 54 - 45
= 9
In 3 months, David plays 9 more times baseball than soccer.
In one month, David plays 9/3 = 3 more times baseball than soccer.
3 more times David plays baseball than soccer each month.
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#SPJ2
help me please please
Answer:
11/14
Step-by-step explanation:
Have a nice day !!!
Answer:
its B, its 11/14
Step-by-step explanation:
HELP!? ✋
What strategies help prevent cancer?
Select all that apply.
Question 8 options:
using sunscreen
avoiding tobacco
getting enough sleep
eating a healthy diet
Max's parents bought $8,000 from the bank for a new car. The interest rate is 6% per year. How much simple interest will they pay if they take 3 years to repay the loan?
Answer:
1440
Step-by-step explanation:
7. Derek has $20 to spend on used books. Hardcover books cost $5 each and paperbacks cost $2 ea Write an equation that models the situation.
solve and check the equation
2(4-5x) = 2(3x+2)
help pls :) solve x+4/3 = 3/x-4
i’ve also attached a picture of the problem if you get confused on the typing
Answer:
x= 5 or x= -5
Step-by-step explanation:
[tex] \frac{x + 4}{3} = \frac{3}{x - 4} [/tex]
Cross multiply:
(x +4)(x -4)= 3(3)
Expand:
[tex]\boxed{a {}^{2} - {b}^{2} = (a + b)(a - b)}[/tex]
x² -4²= 9
x² -16= 9
+16 on both sides:
x²= 9 +16
x²= 25
Square root both sides:
[tex]x = ± \sqrt{25} [/tex]
x= 5 or x= -5
Given that:
[(x+4)/3] = [3/(x-4)]
We know that
(a/b) = (c/d)
⇛a(d) = b(c)
Now,
By using cross multiplying fraction, we get
⇛x+4(x-4) = 3(3)
⇛x(x-4) + 4(x-4) = 9
⇛x² - 4x + 4x - 16 = 9
⇛x² - 0 -16 = 9
⇛x² = 9+16
⇛x² = 25
⇛x = √(25)
⇛x = ±√(5*5)
⇛x = ±5 = +5 or -5 Ans.
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Can some one help me solve this x+3/2+3x/7 = 7
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For this item, complete the choice matrix by clicking the appropriate answer in each row.
Determine whether each unit rate is equivalent or not equivalent to
Equivalent
Not Equivalent
the unit rate, in inches per year, of growing inch in Ğ of a year
the unit rate, in lessons per hour, of finishing of a lesson in hours
the unit rate, in miles per hour, of jogging 1/8 mile in 3/8 hour
Step-by-step explanation:
1/2 inch in 2/3 of a year
1/2 / 2/3 = 1/2 × 3/2 = 3/4
NOT equivalent.
4/9 lesson in 4/3 of an hour
4/9 / 4/3 = 4/9 × 3/4 = 12/36 = 1/3
Equivalent.
1/8 mile in 3/8 of an hour.
1/8 / 3/8 = 1/8 × 8/3 = 8/24 = 1/3
Equivalent.
which statement is true
What does this equal 2(4+5) over 3
Help me with this plzzzzzzzzz
Answer:Hi
Step-by-step explanation:
given that a/b = 2/3 and b/c = 3/7 find A:B:C
Answer:
2:3:7
Step-by-step explanation:
a/b = 2/3
That gives us a clue that a=2 and b=3
But to make sure it states b/c = 3/7
So A:B:C is
2:3:7
Hope this helps!