Use the quadratic formula where -15 = a, 7 = b, 23 = c: [tex]\frac{-b +- \sqrt{b^2 - 4ac}}{2a}[/tex]
Plug in the values: [tex]\frac{-7 +- \sqrt{7^2 - 4(-15)(23)}}{2(-15)}[/tex]
And get: [tex]\frac{-7 +- \sqrt{49 +1380}}{-30}[/tex]
Which simplifies to: [tex]\frac{-7 +- \sqrt{1429}}{-30} = (-7 + 37.8021163)/-30 OR (-7 - 37.8021163)/-30 = 30.8021163/30 OR -44.8021163/30[/tex]
Those are approximately 1 and -1.5
What was the price of one candle before the sale?
Answer:
$4.69
Step-by-step explanation:
HOPE THIS HELPEDDDD ❤✨
Answer:
The original price of the candles was $4.69
Step-by-step explanation:
$11.96 (price of 4 candles) ÷ 4 candles = $2.99 (how much each candle costs)
$2.99 (how much each candle costs) + $1.70 (how much the price of the candles lowered) = $4.69 (the old price per candle)
(hope I helped)
The height of a building is 72 m. Find the angle of elevation from a point on ground level that is 55 m away from the base of the building
Answer:
52.6 degrees
Step-by-step explanation:
tan^-1(72/55)
Angle of elevation is equals to 52°7'(approximately).
What is angle of elevation?
" Angle of elevation is the angle between the horizontal plane and line of sight from the point of observation."
Formula used
In a right angled triangle,
tanθ = ( opposite side) / adjacent side)
According to the question,
As shown in diagram
Height of the building (AB) = 72m
Distance between base of the building and point of observation
(BC)= 55m
Angle of elevation = θ
Substitute the value in the formula we have,
tanθ = AB / BC
= 72 / 55
⇒ θ = tan⁻¹ (72 /55)
= tan ⁻¹(1.3091)
= 52° 7' (approximately)
Hence, angle of elevation is equals to 52°7'(approximately).
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A line passes through the points (8,-1) and (-4, 2).
What is the y-intercept of this line? O-4
O-1
O 1
O 4
Answer:
04
Step-by-step explanation:
0 -4 zero is just zero so 4 replace
Answer:
4
Step-by-step explanation:
A right rectangular prism is packed with cubes of side length fraction 1 over 8 inch. If the prism is packed with 16 cubes along the length, 8 cubes along the width, and 6 cubes along the height, what is the volume of the prism?
Answer:
768
Step-by-step explanation:
16x8x6=768 because volume equals length times width times height ! :)
Juan bought a used bike from his uncle $20.6 each month for 2 years. What was the total amount Juan paid for the bike?
Answer:
$494.40
Step-by-step explanation:
Please help. Only help if you know the answer
Answer:y-7=-9/8(x-0)
Step-by-step explanation:
Answer:
y -7 = -9/8 (x-0)
Step-by-step explanation:
i hope it help
As you walk to your car, you notice that your tire is nearly flat! The initial psi level yesterday was 40 but it is now only 38 today. If this trend continues and the tire keeps losing the same percentage of air, how much should be left at the end of the week rounded to 1 decimal? (7 days later)
Answer:
Step-by-step explanation:
Given that:
Initial psi yesterday = 40 psi
psi today = 38 psi
If trend continues and tire loses the same percentage of air. How much air will be left in tire at the end of the week
1 week ( 7days)
Total loss after 7 days = (amount lost per day * number of days)
Total psi lost per day= [(40 - 38) = 2
% psi lost = (2/40) * 100
= 5%
Applying the exponential loss functin:
A = I ( 1 - r)^t
t = 7days ; r = 5% = 0.05 ; A = amount left ; I = Initial amount
A = 40(1 - 0.05)^7
A = 40(0.95)^7
A = 40 * 0.69833729609375
A = 27.933
A = 27.9 psi
yall already know im stuck again will mark brainlyest
A sweater that costs $35.98 has a 25% markdown. What is the FINAL price of the sweater? Round to the nearest cent/hundredths place.
Answer:
$26.99
Step-by-step explanation:
25% of 35.98 is 8.995
Clare and Han have summer jobs stuffing envelopes for two different companies.
Clare's earnings can be seen in the table.
Number of Envelopes Money in Dollars
400 40
900 90
Han earns $15 for every 300 envelopes he finishes.
a. Who would make more money stuffing 1500 envelopes?
How much more would they make? $ more
b. What is the rate of change for each situation.
Clare = per
Hans = per
c. Who gets pair more in their job?
gets paid more.
Answer:
yes
Step-by-step explanation:
15 x 300 = 7500
Which statement is correct?A. -1.5 < -2, B. 2.5 < -3 ,C, 3.5 <2.5 D, 2<-1
What is one idea that Andre doesn’t understand about rotations?
Answer:
457367
Step-by-step explanation:
Identify the like term(s) in the following expression...
-11d-12z-5+9m+8d+2z
A) +8d and 11d, +2z and -12z
B) -11d and +8d, +2z and -12z
C) -11d and +8d, +2z and 12z
D) -11d and +8d, +2z and -12z, +9m
Answer:
If Im correct B). is the correct answer
B) -11d and +8d, +2z and -12z
IS THIS A FUNCTION, AND WHY
Answer:
Yes, it is a function
Step-by-step explanation:
It is a function because for every y value there is a different x value. We can also use the vertical line test to see if there are two points on the same line.
What is the value of the x-coordinate that is 9 units to the left of (4, -7)?
Answer:
-5
Step-by-step explanation:
Help Me Please This Was Due Saturday The 25th!
Answer:
the last box is 3
Step-by-step explanation:
Answer: 4
Step-by-step explanation: If you multiply 3/5 by 3/3, it will turn into 9/15. If you multiply -1/3 by 5/5, it will turn into -5/15. Since it is a negative, you will have to subtract. 9-5 is 4.
If cheese costs $4.50 per pound, what will be the total cost of 3.5 pounds of cheese?
Answer: 15.75
To find the answer to the question, we have to multiply.
4.50 x 3.5 = 15.75
So, the answer to the question is 15.75.
Hope this helps!
consider this polynomial equation
6(x-3)(x^2+4)(x+1)=0
the equation has ( A. 2 B.3 C.4) solutions. it's real solutions are x = (-2 -1 and 2 or. -1 and 3)
Answer:
2 solutions
-1 and 3 is the real solutions
help me please !! ❤️❤️
Answer:
Sorry, I don't understand what m and a||b means. If you are able to explain it to me, I can follow up for this question. much appreciated, Accqty.
Step-by-step explanation:
3. Translate the triangle 3 units left
and 2 units up. What are the
coordinates of the image?
Answer:
p: (-2,2)
q: (1,4)
r:(3,3)
180 minus what = 45
i really need this answer thank you
Answer: 135
Step-by-step explanation: All you need to do is 180-45=135.
The 180 minus 135 is equal to 45.
To find the value that, when subtracted from 180, gives a result of 45, set up the following equation:
180 - x = 45
To solve for x, to isolate it on one side of the equation by subtracting 180 from both sides:
180 - 180 - x = 45 - 180
Simplifying:
-x = -135
Now, to solve for x, multiply both sides of the equation by -1 to change the sign:
(-1) × (-x) = (-1) × (-135)
x = 135
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Write the ratio 4 to 9 in two different ways
Answer:
4;9
4 to 9
4/9
or 4 blocks and 9 circles
Step-by-step explanation:
2 1⁄4 × 1 1⁄2 × 5⁄3 =
please help me
The answer is:
5 5/8
I got this by multiplying 2 1/4 and 1 1/2 first and i got 3 3/8, then multiplied that number with 5/3
You have at most $24 to spend at a store. Shirts cost $9.50 each, and pants cost $16 each. Let s be numbers of shirts and p be numbers of pants. Write an inequality that represents the numbers of shirts and pants you can afford.
Answer:
[tex]9.5s \: + \: 16p \: = 24.[/tex]
Step-by-step explanation:
[tex]if \: the \: numbers \: of \: shirts \: is \: s.\\ if \: the \: numbers \: of pants \: is \: p. \\then \: the \: inequality \: that \: represents \: \\ the \: numbers \: of \: shirts \: and \: pants \: you \: can \: afford \: is : \\ 9.5s \: + \: 16p \: = 24.[/tex]
Answer:
9.5s + 16p = 24
Step-by-step explanation:
k12
What is the equation of the line?
Answer:
y = 1/2x + 2
Step-by-step explanation:
The y-intercept is 2 because it passes through the y axis at (0,2) and the slope if 1/2
Hope that helps and have a great day!
Answer:
[tex]y=\frac{1}{2}x+2[/tex]
Step-by-step explanation:
To find the equation for the line, lets try to find the slope and y-intercept of the line.
From looking at the graph, we can see that the line intersects the y-axis at y = 2. So the y-intercept would be 2.
The slope of the line would be the rise divided by the run. Looking at the graph, we can see that for every 2 the line moves in the x-direction, it moves 1 in the y-direction. This means that the rise is 1 and the run is 2. So the slope would be 1/2.
So we now know that the slope is 1/2 and the y-intercept is 2, we can now plug the information into the slope-intercept form.
Slope-intercept form is:
y = mx + b
where m is the slope and b is the y-intercept.
Plugging in we get
[tex]y=\frac{1}{2}x+2[/tex]
And now we have the equation of the line.
I hope you find my answer and explanation to be helpful. Happy studying.
Evaluate:
a) 53.24 ÷ 9.351
Answer:
5.693508715645386
Step-by-step explanation:
Answer:
Answer is 5.69350871565
Step-by-step explanation:
I don't know the answer
PLEASE HELP MEE OUTT!!
ILL MARK UR ANSWER AS BRAINLIST
2) Find the midpoints of the line segment with endpoints ( 4 12, 5/2) and ( 10/7, 4/7)
3) suppose you have lunch with five friends and the total check (with tax and tips) is $252. how much should each person pay if you split the check evenly.
Answer:
you will each pay $50 and 4 cents
Step-by-step explanation:
Answer:
2) (37/42,43,28)
3) $50.40
Step-by-step explanation:
2)
[tex] \frac{4}{12} + \frac{10}{7} = \frac{37}{21} \div 2 = \frac{37}{42} [/tex]
this is for x
[tex] \frac{5}{2} + \frac{4}{7} = \frac{43}{14} \div 2 = \frac{43}{28} [/tex]
this is for y and the midpoint is (37/42,43/28)
3)
[tex]252 \div 5 = 50.40[/tex]
I think this is the answer
Lisa is collecting data by interviewing people on the streets. She
interviewed 21 people in 3 hours.
At this rate, what is the total number of the people she interviewed if
she works for an additional 2 hours?
Answer:35 you are welcome
Step-by-step explanation:
Alexandria High School scored 37 points in a football game. Six points are awarded for each touchdown. After each
touchdown, the team can earn one point for the extra kick or two points for a 2-point conversion. The team scored one
fewer 2-point conversions than extra kicks. The team scored 10 times during the game. How many touchdowns were
made during the game? Write and solve a system of equations to get your answer.
Answer:
Five touchdowns were made in the game
Step-by-step explanation:
Here, we want to know the number of touchdowns made during the game.
We proceed as follows;
Let the number of touch downs be x
So the total points earned through touchdowns is 6 * x = 6x
The number of scores is 10 times
Let the number of extra kick be y which means that the number of conversions will be (y-1)
So the total number of score times will be ;
x + y + y-1 = 10
x + 2y = 11 •••••••••(i)
Now let’s work with points
Touch down points = 6 * x = 6x
Points from extra kick = 1 * y = y
Points from 2-point conversions = 2(y-1) = 2y - 2
So;
6x + y + 2y -2 = 37
6x + 3y = 37 + 2
6x + 3y = 39
divide through by 3
2x + y = 13 •••••••(ii)
So now solve simultaneously
From ii, y = 13 - 2x
Put this into i
x + 2(13-2x) = 11
x + 26 - 4x = 11
x -4x = 11-26
-3x = -15
x = -15/-3
x = 5
There are five touchdowns in the game
There are Five touchdowns were made during the game.
Here,
Alexandria High School scored 37 points in a football game. Six points are awarded for each touchdown.
After each touchdown, the team can earn one point for the extra kick or two points for a 2-point conversion.
The team scored one fewer 2-point conversions than extra kicks. The team scored 10 times during the game.
We want to know the number of touchdowns made during the game.
What is system of equations?
A system of equations is a collection of two or more equations with a same set of unknowns.
Now,
Let the number of touch downs be x
So, the total points earned through touchdowns is;
6 * x = 6x
The number of scores is 10 times
Let the number of extra kick be y which means that the number of conversions will be (y-1)
So, the total number of score times will be ;
x + y + y - 1 = 10
x + 2y = 11 •••••••••(i)
Now let’s work with points
Touch down points = 6 * x = 6x
Points from extra kick = 1 * y = y
Points from 2-point conversions = 2(y-1) = 2y - 2
Hence;
6x + y + 2y -2 = 37
6x + 3y = 37 + 2
6x + 3y = 39
divide through by 3
2x + y = 13 •••••••(ii)
So, now solve this;
From ( ii ), y = 13 - 2x
Put this into ( i )
x + 2(13-2x) = 11
x + 26 - 4x = 11
x -4x = 11-26
-3x = -15
x = -15/-3
x = 5
Hence, There are Five touchdowns were made during the game.
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