Solve this quadratic equation using the quadratic formula.
2x^2 - 10x + 7 = 02x2 - 10x + 7 = 0
Answer:
I'm assuming the equation is:
2x^2 -10x +7 = 0
x = (-b +- sqr root (b^2 - 4ac)) / 2a
x = (--10 +-sqr root (100 -4*2*7)) / 4
x = (10 +- sqr root (44)) / 4
x1 = (10 + 6.6332495807 ) /4
x1 = 16.6332495807 / 4
x1 = 4.1583123952
x2 =(10 - 6.6332495807 ) /4
x2 = 3.3667504193 / 4
x2 = 0.8416876048
Step-by-step explanation:
A town has accumulated 2 inches of snow, and the snow depth is increasing by 6 inches every hour. A nearby town has accumulated 8 inches, and the depth is increasing by 2 inches every hour. In about how many hours will the snowfall of the towns be equal?
Answer:
192 inches
Step-by-step explanation:
I dont know I tried
It will take approximately 1.5 hours for the snowfall in both towns to be equal.
The question asks to determine when the snowfall in two different towns will be equal. The first town starts with 2 inches of snow and accumulates 6 inches every hour. The second town starts with 8 inches of snow and accumulates 2 inches every hour. To find when the depths will be equal, we need to set up an equation where the snow depths of both towns are set equal to each other and then solve for time (t).
Let t be the number of hours required for the snow depths to be equal.
For the first town: Initial depth + (Rate of snowfall * Time) = 2 inches + (6 inches/hour * t)
For the second town: Initial depth + (Rate of snowfall *Time) = 8 inches + (2 inches/hour *t)
Setting both expressions equal, we get: 2 + 6t = 8 + 2t. By solving for t, we subtract 2t from both sides and also subtract 2 from both sides to obtain: 4t = 6. Then we divide both sides by 4 to find t = 1.5 hours.
So, it will take 1.5 hours for the snow depths in both towns to be equal.
Select the number line that represents the solution of the inequality
7- x 24.
Answer:
The correct answer is A.
5 to the power of two
Answer:
25
Step-by-step explanation:
5^2 = 25
5 * 5 = 25
Answer:
25
Step-by-step explanation:
Step 1: Convert words into an expression
5 to the power of two
5^2
Step 2: Solve
5^2
25
Answer: 25
10/10
6x-7=12
5/6
6/19
19/6
Answer:
[tex]10/10 = 1[/tex]
[tex]x=\frac{19}{6} \\[/tex]
[tex]5/6 =0.83[/tex]
[tex]6/19 = 0.31578947[/tex]
[tex]19/6 = 3.16[/tex]
terry ran around a circular track . if the radius of the track is 200 feet how far did tarry run
Terry ran a distance of 1256ft
Data;
Radius of Track = 200 feetDistance covered = ?Circumference of a CircleThe distance covered can be calculated from the circumference of the circular track. This can be done using the formula of circumference of a circle which is given as
[tex]C = 2\pi r\\[/tex]
Let's substitute the values and solve
[tex]C = 2\pi r\\C = 2 * 3.14 * 200\\C = 1256ft[/tex]
The circumference of the track is 1256ft.
From the calculation above, Terry ran a distance of 1256ft
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Terry ran a distance of 400π feet around the circular track with a radius of 200 feet.
Explanation:To find the distance Terry ran around a circular track with a radius of 200 feet, we can use the formula for the circumference of a circle. The circumference of a circle is given by the formula: C = 2πr, where C is the circumference and r is the radius. So, the distance Terry ran is: D = 2π(200). Calculating this gives us the answer: D = 400π feet.
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3(2+5)-5(3)+8 help me
Answer:
3(7) -15+8
21-15+8
6+8= 14
[tex]0 = \frac{i}{8} [/tex]
what is i?
Answer:
0
Step-by-step explanation:
i/8=0
i=0*8
i=0
solve for x
x/4 ≥ -8
a) x≤-2
b)x≥-32
c)x≥-2
d)x≤-32
Answer:
B
Just multiply by 4 to isolate x; because 4 isn't negative, u keep the sign the same.
Directions: Consider a 2-kg bowling ball sits on top of a building that is 40 meters tall. It falls to the ground. Think about the amounts of potential and kinetic energy the bowling ball has:
What is the kinetic energy of the ball as it is half way through the fall?
Answer:
it cant be kinetic unless its pushed and gains height, as its falling it is simply potential energy and gets speed in different stages of the fall.
Step-by-step explanation:
pens cost x pence and pencils cost y pence. Write a formula for the total cost (T) of 7 pens and 11 pencils
If y = 7x - 5, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?
{(-5, 0), (9, 2), (-26, -3)}
{(2,7), (1,6), (3, 13)}
{(0, -5), (2,9), (-3, -26)}
{(1, 3), (6, 18), (8, 15)}
option c {(0, -5), (2,9), (-3, -26)} is correct . All others doesn't satisfy the equation .
Step-by-step explanation:
We have , If y = 7x - 5, following set of ordered pairs {(0, -5), (2,9), (-3, -26)} . Let's check for this
(0, -5):
⇒ [tex]y = 7x-5[/tex]
⇒ [tex]y = 7(0)-5[/tex]
⇒ [tex]y =-5[/tex]
So , it's correct ordered pair .
(2,9):
⇒ [tex]y = 7x-5[/tex]
⇒ [tex]y = 7(2)-5[/tex]
⇒ [tex]y =9[/tex]
So , it's correct ordered pair .
(-3,-26):
⇒ [tex]y = 7x-5[/tex]
⇒ [tex]y = 7(-3)-5[/tex]
⇒ [tex]y =-26[/tex]
So , it's correct ordered pair .
Therefore, option c {(0, -5), (2,9), (-3, -26)} is correct . All others doesn't satisfy the equation .
There are two buses. Bus A can travel 125 miles in 3 hours,
and Bus B can travel 85 more miles than bus A within the
same time. What is the speed of Bus B?
mph.
The speed is the distance covered by an object at a particular time. The speed of bus B is 70 miles per hour.
What is speed?The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.
[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]
Given that Bus A can travel 125 miles in 3 hours. While Bus B can travel 85 more miles than bus A within the same time. Therefore, we can write,
Distance traveled by Bus B = 125 miles + 85 miles = 210 miles
Time is taken by Bus B = 3 hours
Now, the speed of the bus B can be written as,
Speed of Bus B = Distance Covered / Time taken
= 210 miles / 3 hours
= 70 miles per hour
Hence, the speed of bus B is 70 miles per hour.
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The function f is defined by f(x) = x2 - 6x +21.
What are the solutions of f(x) = 0?
Show your work on the scratchpad.
The solutions are:
[tex]x =3+2\sqrt{3}i\\\\\:x=3-2\sqrt{3}i[/tex]
Solution:
[tex]f(x) = x^2 - 6x + 21[/tex]
We have to find solutions when f(x) = 0
[tex]x^2 - 6x + 21 = 0[/tex]
Solve by quadratic formula
[tex]\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=1,\:b=-6,\:c=21\\\\x=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\cdot \:21}}{2\cdot \:1}[/tex]
[tex]x = \frac{6 \pm \sqrt{\left(-6\right)^2-4\cdot \:1\cdot \:21}}{2\cdot \:1}\\\\Simplify\\\\x = \frac{6 \pm \sqrt{36 - 84}}{2}\\\\x = \frac{6 \pm \sqrt{-48}}{2}\\\\x = \frac{6 \pm i \sqrt{48}}{2}\\\\simplify\\\\x = \frac{6 \pm 4\sqrt{3}i}{2}\\[/tex]
[tex]x = 3 \pm 2 \sqrt{3} i[/tex]
We have two solutions:
[tex]x = 3 + 2 \sqrt{3} i\\\\x = 3 - 2 \sqrt{3} i[/tex]
Thus the solutions are:
[tex]x =3+2\sqrt{3}i\\\\\:x=3-2\sqrt{3}i[/tex]
128/148 simplest form
Reduce the expression by cancelling the common factors.
= 32/37
In decimal;
0.864
A parking garage charges a flat rate for the first hour plus $1.25 for each additional hour of parking. It costs $8.00 to park in the garage for 5 hour. What is the linear equation models the total cost, y, of parking in the garage for x hours?
Please show your work if you can.
A. Y= 1.25x
B. Y= 1.25x + 5
C. Y= 1.25x + 1.75
D. Y= 1.25x + 3
Find the flat rate:
1.25 x 4 = 5.00
8.00 -5.00 = 3
The flat rate is $3
The equation would be:
D. Y= 1.25x + 3
Answer:
1.25x+1.75 is the correct answer
Step-by-step explanation:
np
show all work to multiply (6+√-64)(3-√-16)
Step-by-step explanation:
6 ( 3 - √-16) + √-64 ( 3- √-16)
18 - 6(-4)^2*1/2 + 3 × (-8)^2*1/2 - √1024
18 - 6 (-4) + 3× (-8) - 32
18 + 24 - 24 - 32
18 - 32
-14
Are 3/4 and 7/8 equivalent
Answer:
No.
Step-by-step explanation:
3/4 cannot be simplified. Neither can 7/8. Also, 3/4 as a decimal is 0.75, and 7/8 as a decimal is 0.875.
Answer:
No
Step-by-step explanation:
Is 3/4 less than 7/8? Is 3/4 smaller than 7/8? These are the same questions with one answer.
To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:
3/4 = 0.75
7/8 = 0.875
Then, we compare the two decimal numbers to get the answer.
0.75 is less than 0.875.
Therefore, 3/4 is less than 7/8 and the answer to the question "Is 3/4 less than 7/8?" is yes.
Last one!! Will give Brainliest as always
Answer:
216 square yards
216 yd^2
Step-by-step explanation:
Base: 6 × 12 = 72
Rectangular Sides: 5 × 12 = 60 (×2 = 120)
Triangular Sides: 6 × 4 = 24 (÷2 ×2 = 24)
Add: 72 + 120 + 24 = 216
The bill at a restaurant is $32 before tax. The tax on the bill is 5%.
How much is the final bill including tax?
32 + 5% = 1.6
The tax is $1.60
The final bill is $33.60
Answer: the answer is $33.60
(4x+40)=3x what is x
Answer: x=40
Step-by-step explanation:
(4x+40)=3x
Step 1: open the bracket
4x + 40 = 3x
Step 2: Combine like terms
4x - 3x = 40
x = 40
I hope this helps.
An orange has 20 fewer calories
than a banana. If 7 bananas have
the same number of calories as 9
oranges, how many calones are in a
banana?
Answer:
90 calories in total
Step-by-step explanation:
We can solve this equation through the following steps:
Step One: Since we are told that a banana is 20 less calories than an orange, we can create the Let Statements:
Let x= the calories in a banana
Let x-20=the calories in an orange
Step Two: Create an equation
Since we are told "7 bananas have the same calories as 9 oranges" we translate"
7x=9(x-20) Distribute
7x=9x-180 Subtract 9x from both sides of the equation
7x-9x=-180 Simplify
-2x=180 Divide both sides by -2
x=90
∴There are 90 calories in a banana.
Joey paints old furniture and sells the pieces at craft fairs. The function f(t) approximates how many pieces of furniture he paints per hour. The function w(h) represents how many hours per week Joey spends painting the pieces of furniture. What are the units of measurement for the composite function f(w(h))?
hours over weeks
weeks over furniture
furniture over hours
furniture over weeks
Answer: Furniture over weeks
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
f(t) = furniture/ hour w(h)= hours/weekSo, for the function f (w(h)) = hours /week x (furniture /hours)
Because "hours" are in both terms, and one is the numerator and the other is the denominator, they can be cancelled with each other.
f (w(h)) = furniture / week
Feel free to ask for more if needed or if you did not understand something.
Answer: D) Furniture over weeks
Step-by-step explanation:
I took the test
Easy question! Please help! And please tell me which line to use! (open circle or closed circle)
Answer:
See below
Step-by-step explanation:
The inequality is d<-80 since the problem states you go deeper than -80 feet.
As for graphing the inequality, you use a open circle with the arrow pointing left.
<= means closed
>= means closed
< means open
> means open
Answer:
Question: You need to figure out the inequality. Here is the full question: On their first dive, scientists explore a part of the ocean floor that is 80 feet below sea level. This depth can be represented by the integer -80. On their second dive, they explore a deeper depth. Write an inequality that represents the possible depth, d, of the scientist's second dive. After you figure that out you can answer the question above.
d < -80
Open ended at -80 pointing toward -200
Last week the office used 7 and 1/12 boxes of paper. This week, they used 3 and 5/12 boxes of paper. How many more boxes did they use last week then this week?
Answer:
3 and 8/12
Step-by-step explanation:
You subtract 3 5/12 from 7 1/12 to get 3 8/12
Answer:
1 and 8/12 or 1 and 2/3
Step-by-step explanation:
7 1/12-3 5/12
2 1/12- 5/12
1 8/12
Find the area of this figure
28 cm
23.7 cm
8 cm
5.7 cm
can someone help me ?
Answer:
y = -3/4x + 5
Step-by-step explanation:
Slope intercept form is y=mx + b
First, find the slope of the line. the points are (0,5) and (4,2), as marked. To find the slope, you do (y2-y1)/(x2-x1). Fill in the numbers and you get
(2-5)/(4-0). Simplify and you get -3/4 is the slope. Then, to find b, you have to fill in one coordinate pair and the slope into y=mx+b. So, I used (0,5).
5=(-3/4)(0) + b
Then you get 5=b by solving, and you fill in the slope and the y intercept in the slope intercept form equation. y = -3/4x +5. This is how you find the answer.
On a fishing trip, Mariko caught 24 fish. She caught some rockfish averaging 2.5lbs and some bluefish averaging 8lb. The total weight of the fish was 137lbs how may of each fish did she catch.
Mariko caught 10 rockfish and 14 bluefish on her fishing trip.
Explanation:Let's define the number of rockfish caught as x and the number of bluefish caught as y.
According to the given information, the average weight of each rockfish is 2.5lbs and the average weight of each bluefish is 8lbs.
We can form two equations based on the total weight of all the fish and the total number of fish caught:
Equation 1: x + y = 24 (since Mariko caught a total of 24 fish)Equation 2: 2.5x + 8y = 137 (since the total weight of the fish was 137lbs)We can solve this system of equations to find the values of x and y by either substitution or elimination method. Using the elimination method:
Multiplying Equation 1 by 2.5, we get 2.5x + 2.5y = 60
Subtracting this equation from Equation 2, we get 8y - 2.5y = 137 - 60
Simplifying, we have 5.5y = 77
Dividing both sides by 5.5, we get y = 14
Substituting this value back into Equation 1, we have x + 14 = 24
Simplifying, we get x = 10
Therefore, Mariko caught 10 rockfish and 14 bluefish.
the ratio of mystery books to fiction books is 2 to 3. if there are 12 mystery books, how many fiction books are there
Answer:
18
Step-by-step explanation:
First you would have the divide 2 and 12 which is 6 then you would muplty 6 by 3 because you need to find how many fictional book which is 18
p. ls I am 99% sure this explanation is right
The number of fiction books is 18.
What is a ratio?Ratio expresses the relationship between two values. It is the number of times that one value is contained within other value(s).
How many books are there?Number of books = (number of mystery books x sum of ratios) / ratio of mystery books
(12 x 5) / 2 = 30 books
What is the number of fiction books?number of fiction books = (ratio of fiction books / sum of ratios) x total number of books
3/5 x 30 = 18 books
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If you bought a stock last year for a price of $128, and it has gone down 14.7% since then, how much is the stock worth now, to the nearest cent?
Answer:
so, you've lost 14.7 percent of value. or, in other words, you still have 85.3 percent of value.
Step-by-step explanation:
so just so .853 times 128 and you're there I'm too lazy to grab calc but please give me brainliest answer
Answer: $109
Step-by-step explanation:
Given stock at last year = $128
14.7 percent decrease = 14.7/100 × 128
=$18.8
To get the Current worth of stock, we then subtract 14% decrease from the worth of stock as at last year:
= $128 - $18.8
=$109.18 to the nearest cent is $109
I hope this helps.