Answers
Answer:
-7 -4 0 1 7
Step-by-step explanation:
x=0
x²-49=0
x²=49
x=±7
x²+3x-4= ² + 4 − − 4= ( + 4 ) − 1 ( + 4 )=(x+4)(x-1)=0
x+4=0
x=-4
x=1
Related Questions
A collection of stamps consists of 22¢ stamps and 40¢ stamps. The number of 22¢ stamps is three more than four times the number of 40¢ stamps. The total value of the stamps is $8.34. Find the number of 22¢ stamps in the collection
Answers
Answer:
27
Step-by-step explanation:
Let :
Number of 40¢ = x
Number of 22¢ = 4x + 3
Total stamp value = $8.34 = (8.34 * 100) = 834¢
40¢x + 22¢(4x + 3) = 834¢
40x + 88x + 66 = 834
128x = 834 - 66
128x = 768
x = 768 / 128
x = 6
Number of 22¢ stamp:
4(6) + 3 = 24 + 3 = 27
Mrs. Lindsay doesn't have a cat crate and needs to take her cats to the vet. She's
going to make a box out of a 8 foot by 8 foot piece of cardboard. How many feet
should Mrs. Lindsay cut from the corners to have the maximum amount of space
inside the box?
Answers
Answer:
The amount to remove from each corner is a square, 4/3 ft by 4/3 ft.
Step-by-step explanation:
The piece of cardboard measures 8 ft by 8 ft.
Each corner will be cut to create the sides of the box.
Let the square cut from each corner measure x by x ft.
The base of the box will measure 8 - 2x by 8 - 2x, and the height of the box will be x.
V = (8 - 2x)^2 * x
V = 64x - 32x^2 + 4x^3
Now we differentiate and set the derivative equal to zero to find a maximum value.
64 - 64x + 12x^2 = 0
3x^2 - 16x + 16 = 0
(3x - 4)(x - 4) = 0
3x - 4 = 0 or x - 4 = 0
3x = 4 or x = 4
x = 4/3 or x = 4
The solution x = 4 must be discarded since 8 - 2x = 8 - 8 = 0, and the sides would have 0 length.
The amount to remove from each corner is a square, 4/3 ft by 4/3 ft.
a particle moves along a horizontal line. Its position function is s(t) for t>0. For each problem, find the velocity function v(t) and the acceleration function a(t).
s(t)=t^3-t^2-56t
Answers
Answer:
Answer is in a photo. I can only upload it to a file hosting service. link below!
bit.^{}
ly/3a8Nt8n
rose watches a circular ornament that has 6 equally spaced stones. identify x
Answers
Answer:
x = 60°
Step-by-step explanation:
It is given that the stones are equally spaced. As the circle is divided into 6 parts by 6 split points and there are 360∘ in the circle, each part equals 360∘/6 = 60∘. So,
mAB◠ = 60∘
mBC◠ = 3 (60∘) = 180∘
If a tangent and a secant intersect in the exterior of a circle, then the measure of the angle formed is half the difference of the measures of its intercepted arcs.
x = 1/2 (mBC◠ − mAB◠)
Substitute the known values into the formula.
x = 1/2 (180∘ − 60∘)
= 1/2 (120∘)
= 60∘
Therefore, x = 60∘.
Priscilla can make 4 bracelets in 18 minutes. At this rate, how many bracelets can she make in 54 minutes?
Answers
Answer:
13 full bracelets
Step-by-step explanation:
Lynette has a metal doorstop with the dimensions shown.
Each cubic centimeter of the metal in the doorstop has a mass
of about 8.3 grams. Find the volume of the metal in the
doorstop. Then find the mass of the doorstop.
Answers
Volume = 105in³
Mass = 871.5g
To find the volume of the metal we can find the area of a base, and multiply it by the prism's width.
The base is 30cm in area, and the width is 3.5cm, which makes the volume 105in³
The mass of the doorstop can be found by just multiplying the grams per cubic centimeter by the volume, which would be 871.5g
Hey can you plz help me fast!!!
Answers
A girl throws a paper airplane from her treehouse. The height of the plane is a function of time and can be modeled by the equation ℎ()=25+2.5−122. Height is measured in feet and time is measured in seconds.
Answers
h(0) show the initial height of the plane, that is 25 feet.
The given equation is h(t)=25+2.5t-1/2 t².
Here, h(0)=25+2.5(0)-1/2 (0)²
h(0)=25
This shows the initial height is 25 feet.
Therefore, h(0) show the initial height of the plane, that is 25 feet.
To learn more about the function visit:
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"Your question is incomplete, probably the complete question/missing part is:"
A girl throws a paper airplane from her treehouse. The height of the plane is a function of time and can be modeled by the equation h(t)=25+2.5t-1/2 t². Height is measured in feet and time is measured in seconds.
Evaluate h(0) and explain what this value means in this situation.
Carly mowed 2 more lawns than Rocco each week for 6 weeks. Carly mowed a total of
18 lawns. How many lawns did Rocco mow each week?
please answer all the other ones i can’t see
Answers
If Carly mowed 2 more each week, then Rocco would mow 1 each week.
18 divided by 6 = 3
3 - 2 = 1
1 x 6 = 6
8/9 ÷ 2/3 - 5/6
step by step fast
Answers
Answer:
is 1/2 or .5
Step-by-step explanation:
HELP ASAP find the volume of the figure. (3.14 as pi)
Answers
Answer:
Step-by-step explanation:
the two ends , made up of triangles make an 8x5x5 box1
box1 = 200
the center piece makes a box2 of 10x8x5
box2 = 400
volume = 600 [tex]ft^{3}[/tex]
Toby has already spent 22 minutes on the phone, and he expects to spend 2 more minutes with every phone call he routes. In all, how many phone calls does Toby have to route to spend a total of 42 minutes on the phone?
_____ phone calls
Answers
42-22 is 20
20 minutes divided by 2 minutes is 10
At a point on the ground 50 feet from the foot of
a tree, the angle of elevation to the top of the tree is 53º. Find
the height of the tree.
Answers
Answer:
[tex] \tan(53) = \frac{x}{50} \\ x = \tan(53) \times 50 \\ x = 66.35 \: feet[/tex]
Step-by-step explanation:
I hope that is useful for you :)
The height of the tree with angle of elevation of 53⁰ is 66 ft.
What is Angle of Elevation?The angle of elevation is the angle between the horizontal line of sight and the object.
Here, Let the height of the tree be x ft.
The angle of elevation = 53⁰
Distance from ground = 50 ft.
According to question,
tan 53⁰ = x/50
x = 50 × tan 53⁰
x = 50 X 1.32
x = 66 ft.
Thus, the height of the tree with angle of elevation of 53⁰ is 66 ft.
Learn more about Angle of elevation from:
https://brainly.com/question/16716174
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Suki has 10 rock songs, 11 dance songs 12
salsa songs and 7 classical songs on her
playlist. If Suki's music player randomly
selects a song from the playlist, what is the
experimental probability that the song will be
a classical song?
Answers MUST be written as a fraction only.
Answers
Answer:
7/40
Step-by-step explanation:
possible outcomes = 10+11+12+7 = 40
favourable outcome = 7
theoretical probability = favourable outcomes/possible outcomes
therefore, 7/40 is the answer
I need help ASAP
Also I need to show work on it because it is for my homework
Answers
Answer:4.5
Step-by-step explanation:
can someone help please
Answers
Answer:
I believe the answer is 8 because 8 can go in both 64 and 40.
Step-by-step explanation:
If you divide 64 by 8 then you get 8 and if you divide 40 by 5 you also get 8.
what is y=-3x-5 in standard form?
Answers
Answer:
3 x-y=5
Step-by-step explanation:
The temperature in degrees Fahrenheit was recorded every two hours starting at midnight on the first day of summer. The data is show in the table.
Hours
Temp. °F
0
62
2
60
4
57
6
58
8
61
10
64
12
70
14
75
Which type of graph would best display the change in the temperatures throughout the day?
bar graph
line graph
line plot
stem and leaf plot
Answers
Answer:
Line Graph
Step-by-step explanation:
Line graphs are the best type of graph to use when you are displaying a change in something over a continuous range. For example, you could use a line graph to display a change in temperature over time. Time is a continuous variable because it can have any value between two given measurements.
please help im gonna fail
Answers
Answer:
1.) -3.75
2.) [tex]\frac{9}{4}[/tex]
3.) [tex]\sqrt{8}[/tex]
4.) 3
Step-by-step explanation:
Negatives are always less than positive numbers
9/4 = 2.25
Square root of 8 is around 2.83
Some plsss helppppppp
Answers
$ -50
Step-by-step explanation:
they gain no profit since they spent more money than they had
Answer:
$-50 dollars
Step-by-step explanation:
let me know if I'm wrong
hey guys i really need help rn bc i’m in a rush to get this done. i’m begging u if u could help me with this question an a few others i’ll mark brainiest. just pls help!
Answers
Answer:
9 1/2
Step-by-step explanation:
=2*3+3 1/2
=6+3+1/2
=9 1/2
Solve the inequality for y.
8y> 48
Simplify your answer as much as possible.
Answers
Answer:
y>6
Step-by-step explanation:
y>48/8
y>24/4
y>12/2
y>6
Answer:
6
Step-by-step explanation:
divide both side by 8 for y to stand alone then 8 will cancel 8 and 48 divided by 8 = 6
8y\8 > 48/8
y= 6
The inverse of x + y is ?
Answers
Answer:
y + x
Step-by-step explanation:
Given that R = 6x + 5y Find y when x = 7 and R = 18 give your answer as an improper fraction in its simplest form
Answers
42+5y=18
5y=18-42
5y=-24
y= -4,8
There are 5 green skittles, 4 orange skittles, and 3 red Skittles in a bag. What is the probability of red Skittle, Not replacing it (eating it), then picking a green skittle?
Answers
Answer:
3/12
Step-by-step explanation:
the entire bag has 12 skittles. there are only 3 red. This gives a fraction of red skittles/entire bag in order to get the probability. So this would be 3/12 in this most basic sense? I am not sure if you need to go further than this or not. Hope this helps!
The interior angles formed by the sides of a hexagon have measures that add up to 720°. What is the measure of angle F? Need HELP ASAP
Answers
PLEASE HELP ILL MAKE BRAINLIEST
Answers
Answer:
56°
Step-by-step explanation:
180 = 40 + (2x) + (3x)
180 - 40 = 40 + 5x - 40
140/5 = 5x/5
x = 28
2(28)
= 56
Answer:
m∠A = 56°
Step-by-step explanation:
A triangle contains 180°. So
180 - 40 = 140
2x + 3x = 140
5x = 140
x = 28
Now, plug in the value for x.
2(28) = 56
Check your work.
40 + 56 + 84 = 180
what type of object is pictured below?
Answers
Answer: segment
Step-by-step explanation:
Answer:
B. Segment
Step-by-step explanation:
An article is bought for Rs. 125 what is the profit percentage?
Answers
Step-by-step explanation:
Solution given;
cost price=Rs125
profit%=?
we have
profit%=[Selling price-cost price]/cost price×100%
=[selling price-Rs.125]/Rs 125×100% is your answer
According to the graph, what is the value of the constant in the equation
below?
Height=
Constant/Width
(4, 25)
(5, 20)
(10, 10)
(20,5)
Answers
Answer:
100
Step-by-step explanation:
x-value is width and y-value is height. Therefore if you multiply the height x width you get the constant.
The value of the constant in the equation is 100.
What is the graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.
Given that, Height=Constant/Width
1) (4, 25)
Here, Height = 25 and Width = 4
25 = Constant/4
Constant = 100
2) (5, 20)
Here, Height = 20 and Width = 5
20 = Constant/5
Constant = 100
3) (10, 10)
Here, Height = 10 and Width = 10
10 = Constant/10
Constant = 100
4) (20, 5)
Here, Height = 20 and Width = 5
20 = Constant/5
Constant = 100
Therefore, the value of the constant in the equation is 100.
To learn more about the graph visit:
brainly.com/question/14375099.
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