Step-by-step explanation:
[tex]C(x)=4x^2-3\\\\C(0),\ C(-1),\ C(-2),\ C\left(-\dfrac{3}{2}\right)\\\\\text{Substitute each value}\ \left\{0, -1, -2, -\frac{3}{2}\right\}\ \text{instead}\ C(x):\\\\C(0)=4(0^2)-3=4(0)-3=0-3=-3\\\\C(-1)=4(-1)^2-3=4(1)-3=4-3=1\\\\C(-2)=4(-2)^2-3=4(4)-3=16-3=13\\\\C\left(-\dfrac{3}{2}\right)=4\left(-\dfrac{3}{2}\right)^2-3=4\left(\dfrac{9}{4}\right)-3=9-3=6[/tex]
simplify: m + 15 + m + 15 + m - 30 + 2m + 2m - 20
George finished 1/4 of a level on his computer games in 1/3 of an hour at this rate. How many hours will it take to complete on level?
Answer:
1 hour 20 minutes
Step-by-step explanation:
It takes twenty minutes to finish a quarter of one level. Which indicates that it would take one hour and twenty minutes to finish said level by simply multiplying twenty by four.
George will complete a level on his computer games in 1 1/3 of the hours.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
We have been given that he finished 1/4 of a level on his computer games in 1/3 of an hour at this rate.
Let x the number of hours will it take to complete on a level
According to the given question, we can write the ratio would be as:
1/4 of a level : 1/3 of an hour = 1 level : x hour
⇒ (1/4) / (1/3) = 1/x
Apply the cross-multiplication operation,
⇒ x = (1/3) × 4
⇒ x = 4/3
⇒ x = 1 1/3
Therefore, there will be 1 1/3 of the hours it takes to complete a level.
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The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 6 and 9. What is the length of the altitude? A. 2004-04-01-01-00 B. 2004-04-01-01-00 C. 2004-04-01-01-00 D. 2004-04-01-01-00
Answer:
I think the answer is the second choice so B. Also your pretty
Answer:
its d ac/gi=bc/hi
Step-by-step explanation:
How do I factorize a quadratic expression ?
Answer:
Please check below the step-by-step explanation.
Step-by-step explanation:
Considering the quadratic expression
[tex]ax^2+bx\:+\:c\:=0[/tex]
[tex]a,\:b,\:and\:c\:can\:have\:any\:value,\:except\:that\:a\:can't\:be\:0.[/tex]
[tex]To\:Factorise\:a\:Quadratic\:is\:to:[/tex]
" [tex]find\:what\:to\:multiply\:to\:get\:the\:Quadratic[/tex] "
For example, multiplying [tex](x + 3)[/tex] and [tex](x - 2)[/tex] together will bring [tex]x^2+x-6[/tex]
i.e.
[tex]\left(x+3\right)\left(x-2\right) = xx+x\left(-2\right)+3x+3\left(-2\right)[/tex]
[tex]\mathrm{Apply\:minus-plus\:rules}[/tex]
[tex]+\left(-a\right)=-a[/tex]
[tex]\left(x+3\right)\left(x-2\right) = xx-2x+3x-3\cdot \:2[/tex]
[tex]= x^2+x-6[/tex]
Therefore, [tex](x + 3)[/tex] and [tex](x - 2)[/tex] are factors of [tex]x^2+x-6[/tex]
Keywords: factorize, quadratic expression
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What quadrant is (15,-12) lie
Answer:
IV/4
Step-by-step explanation:
Go to 15 on the x line and go down 12 and that’s the 4
x\9=15/2 what is the answer
Answer:
x = 132/2 or x = 67 1/2
Step-by-step explanation:
hjdnnenenenenenehehhehehehebeb
The following circle graph shows how Brad spends his time (excluding sleeping) each week outside of school. Which of the following statements is true about how Brad spends his time?
A.Brad spends more time working than he does on homework.
B.Brad spends about the same amount of time watching videos and reading combined as he does playing the piano and soccer combined.
C.Brad spends about the same amount of time doing homework as he does watching videos.
D.Brad spends about the same amount of time playing piano as he does playing football and soccer combined.
Brad spends about the same amount of time doing homework as he does watching videos. The other statements are not true.
Explanation:The circle graph shows how Brad spends his time outside of school. To determine which statements are true, we need to compare the different activities.
A. To compare working and homework, we can see that Brad spends about ⅔ of his time working and ⅓ of his time on homework. So, A is not true since Brad spends more time on homework than working.
B. To compare watching videos and reading with playing the piano and soccer, we can see that Brad spends about 1/6 of his time on watching videos and reading, and about 3/6 of his time on playing the piano and soccer. So, B is not true since Brad spends more time playing the piano and soccer than watching videos and reading combined.
C. To compare doing homework and watching videos, we can see that Brad spends about ⅓ of his time on both activities. So, C is true since Brad spends about the same amount of time doing homework as he does watching videos.
D. To compare playing piano with playing football and soccer combined, we can see that Brad spends about 1/6 of his time on playing piano, and about 4/6 of his time on playing football and soccer combined. So, D is not true since Brad spends more time playing football and soccer combined than playing piano.
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anna can type 123 words in 3 minutes. Caroline can type 220 words in 5 minutes . Who can type fastest
Answer:
Caroline
Step-by-step explanation:
Anna : 123 words in 3 minutes ....123/3 = 41 words per minute
Caroline : 220 words in 5 minutes...220/5 = 44 words per minute
Caroline is the faster typist <===
789
Bernie, Eddy and Gery share £450
Bernie gets twice as much as Eddy who gets three times as much as Gery.
Work out how much they each get.
Answer:
Gery will get 45 £,Eddy will get 135 £ and Bernie will get 270 £ of the total share.
Step-by-step explanation:
Given:
Bernie, Eddy and Gery share £450.
Bernie gets twice as much as Eddy.
Eddy gets three times as much as Gery.
So,
Let Gery gets 'x' share of the amount.
Then,
Eddy's share will be '[tex]3x[/tex]'
and
Bernie's share will be [tex]2\times 3x=6x[/tex]
According to the question.
Total share summation of total share = [tex]450[/tex]
⇒ [tex]x+3x+6x=450[/tex]
⇒ [tex]10x=450[/tex]
⇒ [tex]x=\frac{450}{10}=45[/tex]
So Gery's share = 'x' [tex]= 45[/tex]
Eddy's share = [tex]3x=3\times 45=135[/tex]
Bernie's share = [tex]6x=6\times 45=270[/tex]
Gery will get 45 £,Eddy will get 135 £ and Bernie will get 270 £ of the total share.
To find the average(mean) of a set of numbers, you first find the sum of the numbers and then divide the sum by the number of numbers. What is the average of the numbers ?
Answer:
what are the numbers you wsnt to find? if you don't know then you've answeref your own question with this, well, question..!
Triangle A B C is shown. The length of A B is 12, the length of B C is 24, and the length of C A is 12 StartRoot 3 EndRoot What are the angle measures of triangle ABC? m∠A = 30°, m∠B = 60°, m∠C = 90° m∠A = 90°, m∠B = 60°, m∠C = 30° m∠A = 60°, m∠B = 90°, m∠C = 30° m∠A = 90°, m∠B = 30°, m∠C = 60°
Answer:
m∠A = 90°, m∠B = 60°, m∠C = 30°
Step-by-step explanation:
step 1
see the attached figure to better understand the problem
In this problem we have a right triangle, because the Pythagorean Theorem is satisfied
so
[tex]BC^2=AB^2+AC^2[/tex]
[tex]24^2=12^2+(12\sqrt{3}) ^2\\\\576=576[/tex]
therefore
[tex]m\angle A=90^o[/tex]
step 2
Find the measure of angle B
we know that
In the right triangle ABC
[tex]cos(B)=\frac{AB}{BC}[/tex] ----> by CAH (adjacent side divided by the hypotenuse)
substitute the given values
[tex]cos(B)=\frac{12}{24}[/tex]
[tex]m\angle B=cos^{-1}(\frac{12}{24})=60^o[/tex]
step 3
Find the measure of angle C
we know that
[tex]m\angle B+m\angle C=90^o[/tex] ----> by complementary angles
we have
[tex]m\angle B=60^o[/tex]
substitute
[tex]60^o+m\angle C=90^o\\m\angle C=30^o[/tex]
therefore
m∠A = 90°, m∠B = 60°, m∠C = 30°
Answer:
c
Step-by-step explanation:
m∠A = 90°, m∠B = 60°, m∠C = 30°
ON EDG 20
Answer:
c
Step-by-step explanation:
m∠A = 90°, m∠B = 60°, m∠C = 30°
ON EDG 20
What is 39.95 as a mixed number
Answer:
39 and 19/20
Step-by-step explanation:
Answer
39 19/20
Step-by-step explanation
39.95/1 x 100/100 = 3995/100
Find the HCF (Highest Common Facror) (if there is)
divide the top and bottom nuber by 5 = 799/20
799/20 simplified = 39 19/20
i hope this helps :)
please give me brainliest i just need 3 more until expert!
3) x2+ y2 - x + 3y - 42 = 0
X+y=4
The solution is [tex](-1,5)[/tex] and [tex](7,-3)[/tex]
Step-by-step explanation:
The expression is [tex]x^{2} +y^{2} -x+3y-42=0[/tex] and [tex]x+y=4[/tex]
Using substitution method we can solve the expression.
Let us substitute [tex]x=4-y[/tex] in [tex]x^{2} +y^{2} -x+3y-42=0[/tex]
[tex](4-y)^{2} +y^{2} -(4-y)+3y-42=0[/tex]
Expanding and simplifying the expression, we get,
[tex]\begin{array}{r}{16-8 y+y^{2}+y^{2}-4+y+3 y-42=0} \\{2 y^{2}-4 y-30=0}\end{array}[/tex]
Let us use the quadratic equation formula to solve this equation,
[tex]\begin{aligned}y &=\frac{4 \pm \sqrt{16-4(2)(-30)}}{2(2)} \\&=\frac{4 \pm \sqrt{16+240}}{4} \\&=\frac{4 \pm 16}{4} \\y &=1 \pm 4\end{aligned}[/tex]
Thus, [tex]y=5[/tex] and [tex]y=-3[/tex]
Substituting y-values in the equation [tex]x+y=4[/tex], we get the value of x.
For [tex]y=5[/tex] ⇒ [tex]x=4-5=-1[/tex]
For [tex]y=-3[/tex] ⇒ [tex]x=4+3=7[/tex]
Thus, the solution set is [tex](-1,5)[/tex] and [tex](7,-3)[/tex]
If mBAD = 120° and m CAD = 80°, find mBAC.
Answer:
the right answer is option A. 40°
Step-by-step explanation:
angle BAC= angle BAD - angle CAD
= 120° - 80°
= 40°
how do I solve 14x+5=105
Answer:7.14
Don’t rely on me I tried. Might be wrong but there’s an app called photo math and it’ll help with equations just like this.
Step-by-step explanation:subtract 5 from 5 and subtract 5 from 105 because you want to get X by itself. There for 14x equals 100. Then divide both by 14. 14 cancels out and you get your answer.
14 kilograms + 0.28 kilograms
What conclusion can you make about the result of adding a rational and an irrational number?
Answer:
It is irrational
Step-by-step explanation:
if you combine a rational and irrational number it cannot be rational.
Adding a rational and an irrational number always results in an irrational number. The rational number doesn't affect the irrationality of the irrational number.
Explanation:The result of adding a rational and an irrational number is always an irrational number. For example, if you add the rational number 2 (which can be expressed as a ratio of two integers) and the irrational number sqrt(2) (which cannot be expressed as a ratio of two integers).
The result is 2 + sqrt(2), which is an irrational number.
Because the rational number doesn't affect the irrationality of the irrational number, the sum remains irrational.
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Evaluate the expression when c=5 and x=-4.
4c-x ALEKS PLEAHSE HELP
To evaluate the expression 4c - x with c=5 and x=-4, substitute the values to get 4*5 - (-4), which simplifies to 20 + 4, resulting in a value of 24.
Explanation:To evaluate the expression 4c-x when c=5 and x=-4, substitute the given values for the variables c and x into the expression.
Step 1: Substitute c = 5 into the expression.
4 × 5 - x
Step 2: Substitute x = -4 into the expression.
4 × 5 - (-4)
Step 3: Carry out the multiplications and additions.
20 - (-4) = 20 + 4
Step 4: Add the numbers.
20 + 4 = 24
Therefore, when c = 5 and x = -4, the value of the expression 4c - x is 24.
The value of the expression 4c-x when c=5 and x=-4 is 24.
To evaluate the expression (4c - x) when (c = 5) and (x = -4), follow these steps:
1. Substitute (c = 5) into the expression: [tex]\(4 \times 5 - x\)[/tex]
2. Substitute (x = -4) into the expression: [tex]\(4 \times 5 - (-4)\)[/tex]
3. Simplify the multiplication: (20 - (-4))
4. Simplify further by changing the double negative to addition: (20 + 4).
5. Add the numbers: (20 + 4 = 24).
Therefore, when (c = 5) and (x = -4), the value of the expression (4c - x) is (24). The process involves substituting values, simplifying, and performing addition to obtain the final result.
How long will it take to travel 200km traveling 10 m/s
Answer:
time = distance / speed
time = 200/10
= 20
Step-by-step explanation:
The time taken to travel a distance of 200 Km will be 5.5 hours.
What is speed?Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.
Given that the speed is 10 m/s and the distance to be travelled is 200 km.
The time will be calculated as below,
T = Distance / Speed
T = 200000/ 10
T = 200000/10 x 3600
T = 5.5 hours
Therefore, the time taken to travel a distance of 200 Km will be 5.5 hours.
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Eight less than a number is 18
Answer:
x-8=18
Step-by-step explanation:
A number is our variable, so we will use X. 8 less than a number would be 8-x and that equals 18 so x-8=18.
Answer this question please.
Answer:
see explanation
Step-by-step explanation:
The side of the square = x + 2, thus area is equal to
(x + 2)² ← expand using FOIL
= x² + 4x + 4
Given area = 7 then
x² + 4x + 4 = 7 ( subtract 4 from both sides )
x² + 4x = 3 ← as required
Answer:
the area of the square ABCD = 7
on the other hand, the area of the square ABCD = (2+x)² = x² + 4x + 4
then x² + 4x + 4 = 7
then x² + 4x + 4 = 4 + 3
then x² + 4x = 3
Step-by-step explanation:
Does anyone know how to do this?
Anika receives $0.11 in royalties each time her new song is played on the radio, and $0.38 in royalties for each digital download from a website. During January, her song was played an average of 150 times per day and downloaded a total of 3100 times. Approximately how much did Anika receive in royalties? Note that January has 31 days.
$1200
$2050
$1690
$400
Answer:1690
Explanation:
0.11x150=16.50
16.50x31=511.50
0.38x3100=1178.0(this is all we do for the downloads since it says 'downloaded a total of 3100 times')
1178+511.5=1689.5 then u round it up because of the 9 and you get 1690
Im kinda bad at explaining but hope this helps
Trey is taking out a loan for $85000. It is a 20-year loan with an APR of 5.85% what will his monthly payment be?
Answer:
$768.54 (Approximate)
Step-by-step explanation:
Trey is taking out a loan for $85000. It is a 20-year loan with an APR of 5.85%.
Therefore, if we consider the interest rate is simple interest, then using the simple interest formula, the sum will become after 20 years
[tex]85000(1 + \frac{5.85 \times 20}{100}) = 184450[/tex] dollars.
Therefore, the monthly payment for the loan will be [tex]\frac{184450}{20 \times 12} = 768.54[/tex] dollars. (Answer)
11. Which expression results in a rational number?
Given:
L = V2
M= 3V3
N = V16
P=19
A. L +M
B. M+N
C. N + P
D. P +L
Answer:
C
Step-by-step explanation:
N = V16 = 4
P=19
so N + P
Julie and her brother go to Atlanta to ride the SkyView Ferris wheel. It measures 200 feet in diameter.
A)I want to know the distance around the Ferris Wheel. Would I use Circumference or Area?
B)What is the formula needed to solve this problem?Look in your notes!
C)What is the distance traveled in one rotation? Explain how you used the formula to solve the problem.
Answer:
628.32 feet
Step-by-step explanation:
The SkyView Ferris wheel is 200 feet in diameter.
A) The distance around the Ferris wheel would be the Circumference of
the Ferris Wheel.
B) The formula for circumference is given by
circumference = [tex]\pi[/tex] × diameter
C) the distance traveled in one rotation is the length of the circumference
given by circumference = [tex]\pi[/tex] × diameter
∴ circumference = 3.14159 × 200 feet = 628.32 feet.
The mathematical equation for 900 times 2.
Answer:
900 × 2 ?
Step-by-step explanation:
900 × 2 ? i dont know but i hope its correct?
a system of linear equations is graphed. which ordered pair is the best estimate for the solution to the system?
a) (1/3,1)
b) (1/2,0)
c) (1,1)
d) (1/3,0)
Answer:
The answer that gives the best estimate is (1,1)
Step-by-step explanation:
i) As can be seen on of the lines intercepts the y axis at (0,-1). So the y
intercept or [tex]c_{1}[/tex] = -1. Therefore the equation for this line can be written as
y = [tex]m_{1}[/tex] x + [tex]c_{1}[/tex] ⇒ y = [tex]m_{1}[/tex] x - 1 . It can also be seen from this graph that the
line passes through the point (2 , 2). Substituting these values for x and y
respectively we get 2 = 2[tex]m_{1}[/tex] - 1 ∴ [tex]m_{1}[/tex] = [tex]\frac{3}{2}[/tex]. The equation of the first line
can be written as y = [tex]\frac{3}{2}[/tex] x - 1 ⇒ 2y - 3x = -2
ii) As can be seen on the other line the intercept on the y axis is at (0,2). So
the y intercept or [tex]c_{2}[/tex] = 2. Therefore the equation for this line can be
written as y = [tex]m_{2}[/tex]x + [tex]c_{2}[/tex] ⇒ y = [tex]m_{2}[/tex] x + 2 . It can also be seen from this
graph that the line passes through the point (1 , -1). Substituting these
values for x and y respectively we get 1 = 1[tex]m_{2}[/tex] + 2 ∴ [tex]m_{2}[/tex] = -1 . The
equation of the second line can be written as y = - x + 2 or x + y = 2
iii) Solving the two equations of the two lines respectively as found in i) and
ii) we get y = 0.8. We multiply equation in ii) by 3 to get 3x + 3y = 6 and
when we add this to equation in i) we get 5y = 4 which means that y = 0.8.
If we substitute this value in ii) we get 0.8 + x = 2 , therefore x = 1.2.
iv) Therefore we get the solution of the two lines, which is the intersection
of the two lines as (1.2, 0.8). So the answer that gives the best estimate
is (1,1)
Answer:
Correct answer is: B: (1/2, 0)
Step-by-step explanation:
Just took the test and that is the correct answer. Picture w/ correct answer attached.
If I walk 21 miles at a steady rate of 3 miles per hour can my relationship be represented with a slope of -3
Answer:
The slope of given relationship is 7 and it is not - 3
Step-by-step explanation:
Given as :
The distance cover while walking = d = 21 miles
The speed rate of walking = s = 3 miles per hour
Let The time taken to cover 21 miles = t hours
Now, According to question
∵ Distance = Speed × Time
So, Time = [tex]\dfrac{\textrm Distance}{\textrm Speed}[/tex]
Or, t = [tex]\dfrac{d}{s}[/tex]
Or, t = [tex]\dfrac{\textrm 21 miles}{\textrm 3 miles per hour}[/tex]
∴ t = 7 hours
So, The time taken to cover 21 miles = t = 7 hours
i.e slope of the given relationship = 7
Hence, The slope of given relationship is 7 and it is not - 3 . Answer
mary bought 12 puonds of blueberries to make 5 pies. She divided the blueberries evenly. How many pounds of blueberries were in each pie?
Answer:
2.4 pounds of blueberries for each pie
Step-by-step explanation:
Mary has 12 pounds of blueberries to make 5 pies.
Divide 12 by 5 to see how much pounds of blueberries each pie will have.
There are 2.4 pounds of blueberries for each pie.
The number of pounds of blueberries were in each pie is 2.4
Given that,
mary bought 12 pounds of blueberries to make 5 pies.Based on the above information, the calculation is as follows:
[tex]= 12 \div 5[/tex]
= 2.4
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5/8 of a gallon of paint covers 14/5 of a wall find the unit rate
Answer:25/112
Step-by-step explanation:multiply 5/8 times 5/14.