(7,-1) and ( 21,-5) what is the slope
Answer:
-2/7
Step-by-step explanation:
Going from (7,-1) to ( 21,-5) we see x (the 'run') increasing by 14 and y (the 'rise') decreasing by 4. Thus, the slope of the line connecting these two points is m = rise/run = -4/14, or -2/7.
A clock that is set fifteen minutes fast is less precise than an identical clock
that keeps correct time.
TRUE OR FALSE
The statement that a clock that is set fifteen minutes fast is less precise than an identical clock that keeps correct time is false
How to determine the true statement?When a time is set away from the correct time, the time on the clock would be incorrect.
However, this has nothing to do with the precision of the clock.
This is so because precision deals with closeness of the time measurement to the original time
Since the time is ten minutes fast, it would not be less precise
Hence, the statement is false
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Which shows the equation below written in the form ax2 + bx+c= 0?
2x2 - 2 = -5x - 1
Bring all the equation from the right side to the left.
2x² - 2 = - 5x - 1
2x² + 5x - 2 + 1 = 0 (take note that as you bring the number over you also have to flip the sign)
Therefore,
2x² + 5x + 1 = 0 (shown)
( this ans is similar to the form of ax² + bx + c = 0 )
The equation below written in the form ax² + bx +c= 0 is 2x² + 5x + 1 = 0
What is Quadratic equation?In algebra, a quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0. If a = 0, then the equation is linear, not quadratic, as there is no ax² term.
Examples of quadratic equations are: 6x² + 11x – 35 = 0, 2x² – 4x – 2 = 0, 2x² – 64 = 0, x² – 16 = 0, x² – 7x = 0, 2x² + 8x = 0 etc.
given:
2x² - 2 = - 5x - 1
2x² + 5x + 1 = 0.
Here, the above equation is in standard form as ax² + bx +c= 0.
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D) Solve for k.
4(K + 11) - -2 = 6
K=
Answer: K=23
Step-by-step explanation:
Answer:
k=9
Step-by-step explanation:
4k+44 because you distribute the 4 to the parenthesis
new equation: 4k+44-2=6
add 2 to 6 which would be 8 because you have to get k by itself
4k+44=8 subtract 44 from 8
-36=4k
divide by four
k=-9
if the equation is really 4(k+11)--2=6
do the same first steps so 4k+44
but the -2 would become positive cuz of the double negative
so:
4k+44+2=6
4k+46=6
subtract 46 from 6
4k=-40
divide -40 by 4
k=-10
Which name describe only those numbers highlighted on the number line.
Answer: negative numbers
Explanation: Notice that on the number line, 0 is in the middle, all numbers to the left of 0 are negative, and all numbers to the right of 0 are positive.
Since the numbers highlighted only include numbers
to the left of 0, negative numbers are shown here.
The perimeter of a rectangle is 58 cm. The length is 2 more than twice the width. Let w represent the width.
Answer:
fewaf
Step-by-step explanation:
fsdfadfsadfasfas
if f(x)=4x^2-6
find f(3)
Answer:
f(3) = 30Step-by-step explanation:
f(x) = 4x² - 6
To find f(3) substitute the value of x that's 3 into f (x) that is for every x in f (x) replace it with 3
We have
f(3) = 4(3)² - 6
= 4(9) - 6
= 36 - 6
We have the final answer as
f(3) = 30Hope this helps you
Answer: f(3) = 30
Step-by-step explanation:
If f(x) = x3, evaluate the difference quotient
f(6 + h) − f(6) h
Correct question is;
If f(x) = x³, evaluate the difference quotient: [f(6 + h) − f(6)]/h
Answer:
h² + 108h + 18
Step-by-step explanation:
We are given f(x) = x³
Thus;
f(6 + h) = (6 + h)³ = (36 + 12h + h²)(6 + h) = 216 + 72h + 6h² + 36h + 12h² + h³ = 216 + 108h + 18h² + h³
Then, f(6) = 6³ = 216
Thus;
[f(6 + h) − f(6)]/h = [216 + 108h + 18h² + h³ - 216]/h = (h³ + 108h + 18h²)/h
This gives;
h² + 108h + 18
In this exercise, lines m and n are parallel. Find the measure of each numbered angle.
ITS 9 PARTS
1 = 62° ( Vertically Opposite Angles )
10 = 62° ( Corresponding Angles )
9 = 10 = 62° ( Vertically Opposite Angles )
6 = 95° ( Vertically Opposite Angles )
7 = 180° - 95° = 85° ( Linear Pair )
8 = 7 = 85° ( Vertically Opposite Angles )
5 = 8 = 85° ( Corresponding Angles )
3 = 5 = 85° ( Vertically Opposite Angles )
4 = 180° - ( 9 + 7 )
4 = 180° - ( 62° + 85° )
4 = 180° - 147°
4 = 33° ( Angle Sum Property )
2 = 4 = 33° ( Vertically Opposite Angles )
Find two numbers with a sum of 65. Twice the smaller number is 10 more than the larger number.
Answer:
40 and 25Step-by-step explanation:
Let the two numbers be x and y. If the sum of the numbers is 65, then;
x+y = 65........ 1
Given twice the smaller number is 10 more than the larger number, this can be written as 2x = 10+y (taking x as the smallest and y as the largest)
Therefore 2x = 10+y
x = 10+y/2 ....... 2
Substitute equation 2 into 1 to have;
10+y/2 +y = 65
Find the LCM
(10+y+2y)/2 = 65
10+3y/2 = 65
cross multiply
10+3y = 130
3y = 130 -10
3y = 120
y = 120/3
y = 40
Since 2x =10+y
2x = 10+40
2x = 50
x = 50/2
x = 25
Therefore the two numbers are 40 and 25
Answer:
40 and 25
Step-by-step explanation:
What is the next number 5, -20, 80, -320, 1280 _
solve :(x+1)(x+2)(x+3)(x+4)=120
Answer:
x=1
Step-by-step explanation:
(x+1)(x+2)(x+3)(x+4)=120
Split 120 in it's factors: 2x3x4x5
=>(x+1)(x+2)(x+3)(x+4)=2x3x4x5
=>x+1=2 (Take any one in order)
=>x=1
Answer:
x=1
Step-by-step explanation:
120=2^3*3*5=2*3*4*5=(x+1)(x+2)(x+3)(x+4)
so x+1=2
-1 -1
x=1
Let f(x)=x^2−4x. Solve f(x)=−4.
Answer:
( x + 2) ( x - 2 )
Step-by-step explanation:
f(x) = x^2 -4x
-4 = x^2 - 4x
0 = x^2 - 4x + 4
0 = ( x + 2) ( x - 2 )
( x + 2) ( x - 2 )
Angel rode his bike 8 km South 5 km East how long did it take Angel to get back
The population of a town increased from 3600 in 2006 to 4500 in 2011. Find the absolute and relative (precent) increase.
what grade math is this????????????????????
Which angles are complementary to each other?
Answer:
angle CDA and angle BDC
mark this as brainliest!
Answer:
∠CDA and ∠BDC as their sum equals 90°
Step-by-step explanation:
Find the value of x. (3x-9)(x+7)
Answer:
The answer to this question is 23
Step-by-step explanation:
The reason is because....
23x3= 69
69-9=60
60+ (x+7)
23+7=30
30+60=90
The angle shown is a 90 degree angle therefore this is your answer.
a garden table and bench costs $842 combined. the garden table costs $92 more that the bench. what is the cost of the bench?
Answer:
$375 is what i got on
Pregunta 4 (1 punto)
4.) Fill in the blank
2(x+7) = 2x + _
оа
a) 7
b) 14
c
c) 7x
d) 14x
Od
Answer:
7....................
please help Solve: x² - 64 = 0
Answer:
x = plus or minus 8
Step-by-step explanation:
x² - 64 = 0
x² = 64
x = [tex]\sqrt{64}[/tex]
x = ± 8
Answer: Solve : x2+64 = 0
Subtract 64 from both sides of the equation :
x2 = -64
When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:
x = ± √ -64
In Math, i is called the imaginary unit. It satisfies i2 =-1. Both i and -i are the square roots of -1
Accordingly, √ -64 =
√ -1• 64 =
√ -1 •√ 64 =
i • √ 64
Can √ 64 be simplified ?
Yes! The prime factorization of 64 is
2•2•2•2•2•2
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 64 = √ 2•2•2•2•2•2 =2•2•2•√ 1 =
± 8 • √ 1 =
± 8
Calculus 2 Master needed, evaluate the indefinite integral of: [tex]\int\( (lnx)^2} \, dx[/tex] So far I had applied the integration by parts and got: [tex](ln x )^2*x - \int\ x*((lnx)^2/2)}[/tex] do we do integration by parts again? also, do we simplify the x at my current stage? steps shown would be appreciated
Answer:
[tex]\displaystyle \int (\ln(x))^2\, dx=x(\ln(x)^2-2\ln(x)+2)+C[/tex]
Step-by-step explanation:
We want to evaluate the integral:
[tex]\displaystyle \int\left(\ln x\right)^2 \, dx[/tex]
We can use Integration by Parts. Rewriting the integral yields:
[tex]\displaystyle =\int 1\cdot (\ln(x))^2\, dx[/tex]
Recall that IBP is given by:
[tex]\displaystyle \int u\, dv = uv - \int v \, du[/tex]
Let u be (ln(x))². And let dv be (1) dx. Therefore:
[tex]\displaystyle du = 2\ln x \cdot \frac{1}{x}\, dx[/tex]
Simplify:
[tex]\displaystyle du=\frac{2\ln(x)}{x}\, dx[/tex]
And:
[tex]dv=(1)dx\Rightarrow v = x[/tex]
Therefore:
[tex]\displaystyle \int (\ln(x))^2\, dx=\underbrace{\ln(x)^2}_{u}\underbrace{x}_{v}-\int\underbrace{x}_{v}\cdot \underbrace{\frac{2\ln(x)}{x}\, dx}_{du}[/tex]
Simplify:
[tex]\displaystyle =x\ln(x)^2-2 \int\ln(x)\, dx[/tex]
We can perform IBP again. Let u = ln(x) and v = 1. Hence:
[tex]\displaystyle du = \frac{1}{x} \, dx[/tex]
And:
[tex]dv=(1)dx\Rightarrow v = x[/tex]
Thus:
[tex]\displaystyle =x\ln(x)^2-2\left(x\ln(x)-\int (x)\frac{1}{x}\, dx\right)[/tex]
Simplify:
[tex]\displaystyle =x\ln(x)^2-2\left(x\ln(x)-\int (1)\, dx\right)[/tex]
Evaluate:
[tex]=x\ln(x)^2-2(x\ln(x)-x)+C[/tex]
Simplify:
[tex]\displaystyle =x\ln(x)^2-2x\ln(x)+2x[/tex]
Factor:
[tex]=x(\ln(x)^2-2\ln(x)+2)[/tex]
Therefore:
[tex]\displaystyle \int (\ln(x))^2\, dx=x(\ln(x)^2-2\ln(x)+2)+C[/tex]
On a shelf there are 40 chips. 30 of them are cheddars flavored . What is the percentage of those that are cream cheese flavored?
Answer:
Hey there!
30/40 are cheddar flavored, so 10/40 are cream cheese flavored.
10/40=25, so 25% of the chips are cream cheese flavored (assuming that the rest of the chips are all cream cheese flavored)
Let me know if this helps :)
I will mark you brainliest!!
Answer:
Alternate-exterior angles theorem.
Step-by-step explanation:
Two parallel lines are cut by a transversal, and if there are a pair of congruent angles that are outside of the parallel lines, and on opposite sides of the transversal, you will have the alternate-exterior angles theorem.
Write the expression in words 5-y
Answer:
five minus y
Step-by-step explanation:
Answer:
y less than five
Step-by-step explanation:
thats your answer, please trust me
The midpoint of AB is M(3, 3). If the coordinates of A are (2, -1), what are the
coordinates of B?
Step-by-step explanation:
Hey there!!
It's so simple.
While finding the coordinates of any point if the midpoint is there it will be much easier. You must remember the midpoint formulae.
Let's simply work with it.
Here, A (2,-1) and midpoint M(3,3) are given.
Let another coordinate be B(x,y).
By midpoint formulae,
[tex]midpoint(x.y) = \frac{x1 + x2}{2} ,\frac{y1 + y2}{2} [/tex]
Putting their values,
[tex]m(3 , 3) = \frac{2 + x}{2} , \frac{ - 1 + y}{2} [/tex]
As they are equal, equating with their corresponding elements we get,
[tex]3 = \frac{2 + x}{2} [/tex]
6= 2 + x
x = 6-2
Therefore, the value of a is 4.
Again,
[tex]3 = \frac{ - 1 + y}{2} [/tex]
6 = -1 + y
Therefore, the value of y is 7.
Therefore, the coordinates are B (4,7)
Hope it helps....
Answer:
The coordinates of B is (4, 7)
Step-by-step explanation:
To find the answer for B, you have to do the inverse of the midpoint formula, which is M equals (x1 multiplied by x2, over 2; y1 multiplied by y2, over 2).
If you substitute in A's coordinates for x1 and y1, you come up with (3, 3) = (2+x, over 2; and -1+y, over 2)
If the x coordinate answer for AB was 3, you can create an equation like this to solve for B's x coordinate: 2+x over 2 equals 3.
you multiply 2 by 3 to get 6---> 2+x=6-----> x=4
If the y coordinate for AB was also three, you can create another equation to solve for B's y coordinate: -1+y over 2 equals 3.
you multiply 2 by 3 to get 6 again---->so -1+y=6---->y=7
so the answer for B's coordinates is (4, 7).
A football is kicked vertically upward from a height of 4 feet with an initial speed of 65 feet per second. The formula h=4+65t−16t2 describes the ball's height above the ground, h, in feet, t seconds after it was kicked. Use this formula to find the ball's height 2 seconds after it was kicked. The ball's height, 2 seconds after it was kicked, was nothing feet. I NEED EXTREME HELP PLEASE !!!
Answer: h = 70ft
Step-by-step explanation: To find the height the ball reached after 2 seconds, substitute variable t for 2 and calculate height:
[tex]h=4+65t-16t^{2}[/tex]
[tex]h=4+65.2-16.2^{2}[/tex]
[tex]h=4+65.2-16.4[/tex]
[tex]h=4+130-64[/tex]
h = 70
After 2s, the football reached a height of 70 feet.
Answer:
if its for 3 seconds the answer is 55
Step-by-step explanation:
Aaron bought a $3,000.00 car from Chad's Used Cars. What was his cost of credit if he had a 5 year loan at 3.5% interest? P is the principal, r is the interest rate, m is the number of monthly payments, M is the monthly payment
A. $274.80
B. $380.40
C. $227.04
D. $164.76
Answer:
Term in months. Number of months for this loan. Loan amount. Total amount of your loan. Interest rate. Annual ...
Step-by-step explanation:
(1 point) Find f if f′′(x)=2+cos(x),f(0)=3,f(π/2)=−6.
4x - 3y = 6 ,7x + 3y =27
Answer:
Step-by-step explanation:
4x - 3y = 6
7x + 3y = 27
11x = 33
x = 3
7(3) + 3y = 27
21 + 3y = 27
3y = 6
y = 2
(3,2)
Answer:
x=3 and y=2
Step-by-step explanation:
Let's solve your system by substitution.
4x−3y=6;7x+3y=27
Step: Solve4x−3y=6for x:
4x−3y=6
4x−3y+3y=6+3y(Add 3y to both sides)
4x=3y+6
4x /4 = 3y+6 /4 (Divide both sides by 4)
x= 3 /4 y+ 3 /2
Step: Substitute
3 /4 y+ 3 /2 for x in7x+3y=27:
7x+3y=27
7( 3 /4 y+ 3 /2 )+3y=27
33 /4 y+ 21 /2
=27 (Simplify both sides of the equation)
33 /4 y+ 21 /2 + (−21 /2 )
=27+ (−21 /2) (Add (-21)/2 to both sides)
33 /4 y= 33 2
33/4y=33/2
33 /4 =33/4 (Divide both sides by 33/4)
y=2
Step: Substitute 2 for y in x= 3 /4 y+ 3 /2
x= 3 /4 y+ 3 /2
x= 3 /4 (2)+ 3 /2
x=3 (Simplify both sides of the equation)
Answer:
x=3 and y=2
HOPE THIS HELPS!!!! :)
<333333333333333
Hi guys, can anyone help me with this? Many thanks:)
Step-by-step explanation:
y = √—16x²+8x—2√8x+1+2