Answers
Answer: -6x^2 + 3 and 1 - 4x^2
Step-by-step explanation:
A quadratic expression is an expression that can be in the form ax^2 + bx + c, where a, b, and c are all constants, and a does not equal 0. (ax must be squared, it can't be raised to a power other than 2)
-6x^2 + 3 and 1 - 4x^2 can be in the form ax^2 + bx + c. Therefore, they are the quadratic expressions.
Related Questions
. A woman fences a 3m by 4m rectangular plot to keep her chickens in. The fencing costs N200 per metre. How much does it cost to fence the plot?
1 point
Answers
Answer:
Cost: "N2800"
Step-by-step explanation:
I'm assuming "N200" is "$200"? But I'll just use it as "N200"
Finding the perimeter:
3+3+4+4=
6+8=
14 metres
Finding the cost:
N200×14=
N2800
If the distance from the boat to the lighthouse is 110 meters and the angle of elevation is 44°, which of the following equations will find the height of the lighthouse?
Answers
Answer:
C.tan 44° = y over 110
Step-by-step explanation:
Took the test
The height of the lighthouse is 106.5m
How do find the height of the lighthouse?Using the given diagram, we get
tan 44° = y / 110
0.965 = y / 110
y = 0.965 * 110 = 106.5m
The answer is 106.5m
What is height in trigonometry?
The height of the object. The angle at which the observer views the topmost point of the object (angle of elevation) The angle at which the observer views the object when the observer is on top of a tower/building (angle of depression).
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PLSSSS HEEEELPPP
A cone has a radius of 6 inches and a height of 16 1/2 inches. A cylinder
has a radius of 8.5 inches and a height of 25 inches. What is the sum of the
volumes, to the nearest tenth of a cubic inch, of the cone and the
cylinder? EXPLAIN YOUR ANSWER. *
Answers
Answer:
6296.5
Step-by-step explanation:
Cone volume: 622.0
Cylinder Volume: 5674.5
622+5674.5=6296.5
Edward has 30 sweets.
The ratio of red sweets to yellow sweets is 2:3
How many red sweets does Ed have? *
Answers
Answer:
20 red sweets
Step-by-step explanation:
do two thirds of 30 and the part that cane out is the red sweets
Answer:
12
Step-by-step explanation:
Sum the parts of the ratio, 2 + 3 = 5 parts
Divide the number of sweets by 5 to find the value of one part of the ratio
30 ÷ 5 = 6 sweets ← value of 1 part of the ratio, thus
2 × 6 = 12 ← number of red sweets
y = 4x – 6
can someone find me the slope for this thanks
Answers
Answer:
Slope = m = 4
Step-by-step explanation:
y = 4x-6
Comparing this with the standard slope-intercept equation:
[tex]y = mx+b[/tex]
Where m is the slope and b is the y-intercept.
So, we get:
Slope = m = 4
Answer:
4
Step-by-step explanation:
The equation of a line has a formula.
y = mx + b
Where m is the slope, and b is the y-intercept.
The equation for this line is given:
y = 4x + - 6
m = 4
b = -6
4 is the slope, and -6 is the y-intercept.
in Germany, VAT is at 19 % Jeremy buys a calculator for 58.31 German money this price contains VAT find the amount of VAT paid by jeremy
Answers
Answer:
9.31?
Step-by-step explanation:
Given that a and b are positive. If the values of a and b are decreased proportionally, which explains how the value of the expression is changed? 1 2 1 a + 1 b Q: A: A) decreases B) increases C) turns negative D) remains constant
Answers
Answer:
A
Step-by-step explanation:
it decreases
Find the equation of the line through point (3,−3) and parallel to y=3x−4. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12). Y=
Answers
Answer:
y =3x - 12
Step-by-step explanation:
I'm fairly certain this is the answer.
Consider the point (3,-3). In terms of variables this is written (x,y).
Remember that the equation for slope is y = mx + b.
In that equation, "b" is your y-intercept, and "m" is your slope.
If 2 lines are parallel, they have the same slope but different y-intercepts. So you can use the slope from the equation y=3x-4 to find the parallel line. You can also plug in the values 3 and -3 to solve for b, our y-intercept.
If we set up the equation, we have -3 = 3(3) + b.
Now solve for b.
-3 = 9 + b
Combine like terms, so that -12 = b, and you have your y-intercept.
To create the equation, take out the coordinate pair that the line passes through, and only have the SLOPE and the Y-INTERCEPT showing in the equation.
Therefore, y = 3x - 12
Anne, Becky and Charlotte had sums of money in the ratio 7:6:5. One of them gave £9 to one of the others and this changed the ratio (in the same order of names) to 6:5:4. The total sum of money remained the same; what was it?
Answers
Answer:
The total sum of money is £810
Step-by-step explanation:
The parameters given are;
The ratio of the sum Anne, Becky and Charlotte had = 7:6:5
One of them gave one of the others £9 and the new ratio becomes 6:5:4
The total sum of money remains the same = M
The initial fraction amount of the total sum of money each had is given as follows;
Anne = 7/(7 + 6 + 5)×M = 7/18·M = 0.389·M
Becky = 6/18·m = 1/3·M
Charlotte = 5/18·M = 0.278·M
After one of them gave £9 to one of the others, the fraction amount of the total sum of money each had became;
Anne = 6/(6 + 5 + 4)×M = 6/15·M = 0.4·M
Becky = 5/15·m = 1/3·M
Charlotte = 4/15·M = 0.267·M
Therefore, given that Anne's fraction of the total sum of money increased while Charlotte's fraction of the total sum of money decreased, it was Charlotte that gave Anne £9
Therefore, the fraction of the total sum of money equivalent to £9 is found s follows;
5/18·M - 4/15·M = 1/90·M = £9
Therefore;
M = 90 × £9 = £810
The total sum of money = £810.
please help me please :(
Answers
Answer:
18
Step-by-step explanation:
There is a string that is 3 yards long that is divided into pieces that are 1/6 of yard long. Divide the total length by the length it was divided into to find the number of pieces.
When dividing with fractions, the second number will be inverted and multiplied by the first number.
3 ÷ (1/6) = 3 × 6 = 18
You will have 18 pieces
An appliance store reduced the price of a refrigerator by 20% and then raised the prices by 10% from the lower price. What was the original price of the refrigerator, if the price was $70.49 ?
Answers
Answer: $80
Step-by-step explanation:
Let the original price of the refrigerator be represented by y.
We are told that an appliance store reduced the price of a refrigerator by 20%. This will be:
= y - (20% of y)
= y - (20/100 × y)
= y - (0.2 × y)
= y - 0.2y
= 0.8y
We are then told that the store then raised the prices by 10% from the lower price. This will be:
= 0.8y + (10% of 0.8y)
= 0.8y + (0.1 × 0.8y)
= 0.8y + 0.08y
= 0.88y
Since we told that now the price was $70.49, this means that we have to find the value of y using the above expression. This will be:
0.88y = $70.49
y = $70.49/0.88
y = $80.10
y = $80 approximately
The original price of the refrigerator is $80.
Here is a list of numbers: 8, 6, 19, 14, -19, -3, -14, 20, -9 State the median.
Answers
Answer:
6
Step-by-step explanation:
rearrange the numbers from smallest to biggest:
-19, -14, -9, -3, 6, 8, 14, 19, 20
the set of data the question requires is the middle data. there are 9 sets of data. the middle data = (9 + 1) ÷ 2 = 5
find the fifth piece of data from the rearranged order.
ans: 6
Answer:
6
Step-by-step explanation:
gotchu G
A car costs £20000. Work out the price after a 5% discount.
Answers
Answer:
£19000
Step-by-step explanation:
Discount cost = 5% of 20000 = 5/100 x 20000 = 1000
SO, cost after discount = 20000 - 1000 = 19000
hope this helps
hi pls help i don’t understand this
Answers
Answer:
Hey mate ,tan(A) = Sin A / cos A
tan A = 4/7*5/3
tan A = 20/21 .....Hope this helps ......What is the length of Line segment S R?
Answers
16^2 + (RT)^2 = 20^2
256 + (RT)^2 = 400
(RT)^2 = 144
RT = 12
Using altitude theorem to find ST:
16/12= 12/ST
16ST = 144
ST = 9
Using Pythagorean theorem again:
12^2 + 9^2 = SR^2
144 + 81 = SR^2
225 = SR^2
SR= 15
Final answer: SR= 15
Hope this helps!
The length of line segment SR is 15.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Using Pythagorean theorem.
The sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse
16² + (RT)² = 20²
256 + (RT)² = 400
Subtract 256 on both sides
(RT)² = 144
Take square root on both sides
RT = 12
By using altitude theorem we find ST:
16/12= 12/ST
Apply cross multiplication
16ST = 144
Divide both sides by 16
ST = 9
Using Pythagorean theorem again:
12² + 9² = SR²
144 + 81 = SR²
225 = SR²
Take square root on both sides
SR= 15
Hence, the length of line segment SR is 15.
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9,6,3,0,-3,-6 work out the nth term (it decrease by the same amount each time)
Answers
Answer:
-3n+11 or 3n+11 or 3n-11 one of those
Step-by-step explanation:
Answer:
The answer is -3n+12
Step-by-step explanation:
It is because you do 9+3 and it is positive so it will be positive 12 (+12).
We got -3n from taking away -3 all the way.
I hope you got help
In each figure below, find m∠1 and m∠2 if a||b. Show your work with statements.
Answers
Answer:
m < 1 = 80
m < 2 = 70
Step-by-step explanation:
As we can see in the figure that
[tex]a || b[/tex]
Plus line s and t are considered to be transversals
That results into
m < 1 and 80
i.e alternate angles
And as we know that alternative angles are equal to each other
So,
m < 1 = 80
Moreover,
m < 2 = 70
As corresponding angles are equal to each other
Therefore the m < 1 = 80 m < 2 = 70 could be computed easily by applying the above things
Mitch is buying candy bars for his friends he wants to give 2 bars to each friend and he wants to have 10 spare bars he can afford to buy 24 candy bars
Answers
Answer:
e can treat 7 friends
Step-by-step explanation:
2f+10=24
2f=24-10=14
f=14/2=7
What is the length x of a diagonal support, to the nearest tenth of a foot?
Answers
Answer:
The solution is 11 feet
Step-by-step explanation:
We know that this footbridge has two right triangles that support the bridge, meeting at the center. The triangles will by congruent by AAS, provided we know that each of the triangles are 90 - 65 - 25, and that the hypotenuse of each triangle has a common length of x.
_______________________________________________________
Let us say the side opposite to the 25 degree angle is a, in both triangles. The side opposite to the 65 degree angle is b, but we already know the length of b as it is 20 / 2 = 10 ft. We should find the length of a by tan 25, and, by Pythagorean Theorem, determine the length of x.
a = tan 25 * ( 10 ) ≈ 4.663 ft
b = 10 ft
By Pythagorean Theorem,
a^2 + b^2 = x^2,
( 4.663 )^2 + ( 10 )^2 = x^2,
21.74 + 100 = x^2,
x^2 = 121.74,
x ≈ 11 ft ( to the nearest foot )
What is the value of a in the equation?
22 = StartFraction a Over 11 EndFraction
Answers
Answer:
242
Step-by-step explanation:
22=a/11
22 times 11 = a
242 = a
a= 242
hope this helps
Answer:
The Answer Is (242) that's it I did the exam happily. :)
Nikita's Work
Area of Base = B = 3 bn=(718) = 28 cm?
Volume=Bh= (28)(13) = 364 cm
Where, if any, did Nikita first make a mistake in her work?
Nikita used the wrong formula for the area of the base.
Nikita used the wrong measurements when finding the area of the base.
Nikita used the wrong formula for the volume of the prism.
Nikita did not make a mistake.
Answers
Complete question:
Nikita calculated the volume of the right triangular prism. Her work is shown below.
Where, if any, did Nikita first make a mistake in her work?
Nikita used the wrong formula for the area of the base.
Nikita used the wrong measurements when finding the area of the base.
Nikita used the wrong formula for the volume of the prism.
Nikita did not make a mistake
Note the shape is a right triangular prism with base sides of 8 cm and height of 13 cm. The height of the prism is 7 cm.
Answer:
Nikita used the wrong measurements when finding the area of the base.
Step-by-step explanation:
The formula for the base area of the triangular prism should be the area of a triangle.
Area of a triangle = 1/2 bh
where
b = base
h = height of triangle
According to her expression she uses the wrong measurement when finding the area of the base.
She did = 1/2 × b × h = 1/2 × 7 × 8 = 56/2 = 28 cm²
But the height of the triangle is suppose to be 13 cm not 7 cm she used
The volume of the prism = Bh
where
B = base area
H = height of the prism
The volume should be
Volume = 13 × 8 × 7 = 728 cm³
Answer:
Nikita calculated the volume of the right triangular prism. Her work is shown below.
Where, if any, did Nikita first make a mistake in her work?
Nikita used the wrong formula for the area of the base.
Nikita used the wrong measurements when finding the area of the base.
Nikita used the wrong formula for the volume of the prism.
Nikita did not make a mistake
Note the shape is a right triangular prism with base sides of 8 cm and height of 13 cm. The height of the prism is 7 cm.
Answer:
Nikita used the wrong measurements when finding the area of the base.
Step-by-step explanation:
The formula for the base area of the triangular prism should be the area of a triangle.
Area of a triangle = 1/2 bh
where
b = base
h = height of triangle
According to her expression she uses the wrong measurement when finding the area of the base.
She did = 1/2 × b × h = 1/2 × 7 × 8 = 56/2 = 28 cm²
But the height of the triangle is suppose to be 13 cm not 7 cm she used
The volume of the prism = Bh
where
B = base area
H = height of the prism
The volume should be
Volume = 13 × 8 × 7 = 728 cm³
Step-by-step explanation:
75 + 13 + ?? = 140 i dont know what it is.
Answers
Answer:
52
Step-by-step explanation:
140 - 13 = 127
127 - 75 = 52
Check your work:
75 + 13 + 52
= 140
52
Step-by-step explanation:
75 + 13=88
140 - 88=52
75 + 13 + 52=140
hope it helps stay safe and have a good day =D
2 circles labeled Set A and Set B overlap. Set A contains 1, set B contains 3, and the overlap of the 2 circles contains 2. The number 4 is outside of the circles.
On the Venn diagram, which region(s) represent the union of Set A and Set B (A⋃B)?
II
I and III
I, II, and III
I, II, III, and IV
Answers
Answer:
(A⋃B) = I, II, and III (C)
Step-by-step explanation:
Venn diagram is used to demonstrate the relationship between two or three sets. It enables visual organisation of data in a set.
From the information:
Set A = {I}
Set B = {II}
Set A⋂B = {III}
Where ⋂ means intersection.
A⋂B = objects that belong to set A and set B
Objects not belonging to any set = 4
U = Universal set
(A⋃B) means objects that belong to set A or set B
The objects that belong to set A or set B = I, II, and III
(A⋃B) = I, II, and III (C)
Answer:
The answer is C
Step-by-step explanation:
I took the test
The graphs below have the same shape. What is the equation of the blue
graph?
Answers
Answer:
for this graph the answer is D
David, Malachy and Paul share some sweets in the ratio 4:3:3. David gets 24 sweets. How many did Paul get?
Answers
4x+3x+3x=24
10x=24
x=24/10
x=2.4
Since Paul=3X=3*2.4
=7.2
• hence the Paul get 7.2
If David, Malachy and Paul share some sweets in the ratio 4:3:3 then Paul get 7.2 number of sweets
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that David, Malachy and Paul share some sweets in the ratio 4:3:3
All three shared 24 sweets together.
Let x be the number of sweets
4x+3x+3x=24
Add the like terms
10x=24
Divide both sides by 10
x=2.4
Now paul has 3x sweets so 3×2.4=7.2
Hence, Paul get 7.2 number of sweets
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3/7 of students at a school are boys. If there are 2282 students at the school, how many are girls?
Answers
Answer:
2282 divided by 3over7
Answer:
1304
Step-by-step explanation:
2282:7 =326
326 . 3 = 978
2282 - 978 = 1304
mother bake some cookies she get one set of the cookies
Answers
Answer:
She got one set.
Kayden is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove at a constant speed to get to the safe zone that was 160 meters away. After 3 seconds of driving, she was 85 meters away from the safe zone. Let D represent the distance (in meters) from the safe zone after t seconds. Complete the equation for the relationship between the distance and number of seconds. D=
Answers
Answer:
The answer is D(t) = 160 - 25t
Step-by-step explanation:
well khan academy said it lol
A certain arithmetic sequence has this explicit formula for the nth term:
an = 11 + (n - 1)(4)
The same sequence has this recursive formula:
an = an-1 +__
What number belongs in the blank space in the recursive formula?
Answers
Answer:
4
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given
[tex]a_{n}[/tex] = 11 +(n - 1)4 , then
d = 4
The recursive formula allows a term in the sequence to be found by adding d to the previous term, thus
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 4
Answer:
The answer is 4
Step-by-step explanation:
405 increased by 8.3
Answers
Answer:
413.03
Step-by-step explanation:
405 increased by 8.3 is 405+8.3.
[tex]405+8.3=\\405+8.0+0.3=\\413+0.3=\\413.03[/tex]
Answer:
413.3 if ADD, 437.5215 if add by percent
Step-by-step explanation:
If it's increaced by 8.3%, then it is 405 + 32.5215 = 437.5215
If it's add 8.3, then it's 413.3.