Answers
Answer:
C. -2
Step-by-step explanation:
The slopes of parallel lines are always the same.
Related Questions
Help please :) much appreciated
Answers
Answer:
x^2 +2x -5
Step-by-step explanation:
f(x) = 2x+3
g(x) = x^2 -8
f(x)+g(x) = 2x+3+ x^2 -8
Combine like terms
= x^2 +2x -5
If the point (x, y) is on the y-axis, which of the following must be true? A). x=0 B). y=0
Answers
Answer:
X = 0
Step-by-step explanation:
Which expression can be used to determine the average rate of change in f(x) over the interval 2, 9? On a coordinate plane, a curve opens down and to the right. The curve starts at (0, 0) and goes through (1, 3), (4, 6), and (7, 8). f(9 – 2) f(9) – f(2) StartFraction f (9 minus 2) Over 9 minus 2 EndFraction StartFraction f (9) minus f (2) Over 9 minus 2 EndFraction
Answers
Answer:
(D) [tex]\dfrac{f(9)-f(2)}{9-2}[/tex]
Step-by-step explanation:
To determine the average rate of change in f(x) over the interval [a,b], we use the formula:
[tex]\text{Average rate of change}=\dfrac{f(b)-f(a)}{b-a}[/tex]
Therefore, given a function f(x), the average rate of change in f(x) over the interval [2,9] is given as:
[tex]\text{Average rate of change}=\dfrac{f(9)-f(2)}{9-2}[/tex]
The correct option is D,
Answer:
D
Step-by-step explanation:
There are two consecutive even numbers such
that twice the first is 46 more than the second.
Form an equation and solve to find the two
numbers.
Answers
Step-by-step explanation:
Let the numbers be x and y
2 consecutive even nos.
therefore y = x+2
twice of the first (2x) is 46 more than y
2x = y+46
Solving both the equations
x - y + 2 = 0
(-)2x - y - 46 = 0
____________
-x + 0 + 48 = 0
____________
x = 48
y = x+2
= 48 +2
= 50
Therefore the 2 nos. are 48 and 50
Hope this answers helps you
could any one explain this problem?
Answers
Answer:
C
Step-by-step explanation:
Δ AQP and Δ ACB are similar triangles, thus the ratios of corresponding sides are equal, that is
[tex]\frac{AQ}{AC}[/tex] = [tex]\frac{PQ}{BC}[/tex] ( note that AC = 3 + 6 = 9 ), substitute values
[tex]\frac{3}{9}[/tex] = [tex]\frac{4.5}{BC}[/tex] ( cross- multiply )
3BC = 40.5 ( divide both sides by 3 )
BC = 13,5 cm → C
U 3 4
Lucy buys 7 kg of nuts to sell.
She pays £10 for the nuts.
Lucy puts all the nuts into bags.
She puts 350 g of nuts into each bag.
She then sells each bag of nuts for 75p.
Lucy sells all the bags of nuts.
Work out her percentage profit.
Answers
Answer: 50%
Step-by-step explanation:
I'm converting 7kg to grams to make it easier. So £10 = 7000g
£1 = 7000÷10 = 700g
700g÷2 = 350g and if you follow the ratios on top, she payed 50p per 350g
She sells a bag of 350g for 75p.
Percentage profit=[tex]\frac{Change in cost}{original cost}[/tex] × 100
75p - 50p = 25p = change in cost
Percentage profit= [tex]\frac{25}{50}[/tex] × 100
= 50%
Let PQR be a triangle such that angle P = angle Q + angle R. Among all three exterior angles of triangle PQR, what is the smallest exterior angle, in degrees?
Answers
Answer:
The smaller exterior angle is the exterior angle in the vertex P, and it measures 90°
Step-by-step explanation:
The sum of the internal angles of a triangle needs to be 180 degrees, so we have two equations:
[tex]mP = mQ + mR[/tex]
[tex]mP + mQ + mR = 180\°[/tex]
Substituting [tex]mQ + mR[/tex] by [tex]mP[/tex] in the second equation, we have:
[tex]mP + mP = 180\°[/tex]
[tex]mP = 90\°[/tex]
The other two angles need to be lesser than mP, and the exterior angle is the supplement of the internal angle, so the bigger the internal angle, the smaller the exterior angle.
So if the bigger internal angle in this triangle is mP, the smaller exterior angle is also the angle in the vertex P:
[tex]exteriorP = 180\° - mP[/tex]
[tex]exteriorP = 90\°[/tex]
Stats question two way tables
Answers
Answer:
Step-by-step explanation:
Not liking rock mostly doesn't effect not liking just rap, since half like both rock and rap.
Though, there are 2 more people that like just rock compared to just rap, so you are more likely to like just rock.
Additionally, if you don't like rock, there is a 31.4 % that you don't like rap as well, since 17 people like neither.
please help me for brainliest
Answers
Answer:
Step-by-step explanation:
A) These are the squares of another number or we can say the prime numbers
B) THE NEXT NUMBER IN THE SEQUENCE IS 9 BECAUSE ALL THESE ARE SQUARES OF 8 7 6 5 4 AND THE LAST ONE WILL BE 9
The first two terms in a sequence are 8 and 11. What is the next value if this sequence is arithmetic?
Answers
Answer:
14
Step-by-step explanation:
From the question we are given the first term 8,second term 11 and we are to find the third term.
Using the formula:Tn=a+(n-1)d
Where a=first term=8
n=number of terms =3
d= difference between terms( second term -first term)=11-8=3
T3=8+(3-1)3
=8+2(3)
=8+6
The next term =14
Find the sum 3/5+1/9
Answers
hope it helps you tell me in the comment box
(•‿•)
Which two values of x are roots of the polynomial below?
x²-11x+17
Answers
Answer:
It is E and F
Step-by-step explanation:
A quadratic equation is written in the form of ax²+bx+c. The two values of x that are the roots of the polynomial are E and F.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
The roots of the quadratic equation are found as shown below,
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
If the given equation x²-11x+17 is compared with the general quadratic equation ax²+bx+c, then the value of a, b, and c is 1, -11, and 17, respectively.
The roots of the given polynomial x²-11x+17=0 can be found as shown below. Therefore, The roots of the polynomial are,
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\x = \dfrac{-(-11) \pm \sqrt{(-11)^2 - 4(1)(17)}}{2(1)}\\\\x = \dfrac{11 \pm \sqrt{121 - 68}}{2}\\\\x = \dfrac{11 \pm \sqrt{53}}{2}[/tex]
x= (11 + √53)/2 , (11 - √53)/2
Hence, the two values of x that are the roots of the polynomial are E and F.
Learn more about Quadratic Equations:
https://brainly.com/question/2263981
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3×-y=5,2×+y=5 pleaseplease
Answers
Answer:
x = 2
y = 1
Step-by-step explanation:
3x - y = 5..............(1)× 1
2x + y = 5...….......(2)× 1
3x - y = 5..............(3)
2x + y = 5.............(4)
Cancel y
3x + 2x = 5 + 5
5x = 10
Divide both sides by 5
x = 2
Substitute for the value of y
3x - y = 5
3(2) - y = 5
6 - y = 5
6 - 5 = y
1 = y
y = 1
I need help ASAP snsbdbdbdbdbbffb
Answers
Answer:
a) 2 -2 -4 -4 -2 2 8
b) graph B
c) x = -2.55 or x=1.55
Step-by-step explanation:
a) just fill in the x values
b) look at x=0, you'll find y=-4. Only graph B goes through (0, -4)
c) estimate where graph B passes through the x axis.
At work Bret must check and record the internal temperature of the freezer on an hourly basis when working properly the temperature should remain constant over time.What word describes the slope of a line showing the temperature of the freezer as a function of time in hours when the freezer is working properly
Answers
Answer:
The slope of the line will be ZERO.
From the question given above, we are told that when the freezer is working perfectly that the temperature will remain constant over time. This means that if the graph of temperature and time is drawn, the slope of the graph will be constant from one point of the graph to the other, which means that the values will cancel each other out and will be zero.
In a survey, the ratio of the number of people who preferred tea to those who preferred coffee was 9:5
36 more people preferred tea to coffee.
How many people were in the survey?
Answers
Answer:
45 people prefered coffee, 81 people prefered tea. A total of 126 people were surveyed.
Step-by-step explanation:
Let t be the people who prefer tea, and let c be the people who prefer coffee.
The ratio between tea and coffee is 9:5, thus we have t/c=9/5. Cross products give us 5t=9c.
Also, we have 36 more people prefer tea than coffee, so we have c+36=t
Thus we have: 5(c+36)=9c
5c+180=9c
180=4c
c=45
c+36=t
45+36=81
What is the value of x in the equation 8x - 2y = 48, when y = 4?
O 6
07
O 14
O 48
Answers
Answer:
The answer is option 2.
Step-by-step explanation:
You have to substitute the value of y into the equation :
[tex]8x - 2y = 48[/tex]
[tex]let \: y = 4[/tex]
[tex]8x - 2(4) = 48[/tex]
[tex]8x - 8 = 48[/tex]
[tex]8x = 48 + 8[/tex]
[tex]8x = 56[/tex]
[tex]x = 56 \div 8[/tex]
[tex]x = 7[/tex]
The value of x in the equation 8x - 2y = 48 is 7.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have,
8x - 2y = 48
Now, for y=4 put the value of y as 4 in given equation we get
8x- 2(4)= 48
8x -8= 48
8x = 48+ 8
8x = 56
x= 56/8
x= 7
Thus, the value of x is 7.
Learn more about Equation here:https://brainly.com/question/29657983
#SPJ2
Instructions: Find the angle measures given the figure is a rhombus.
Answers
Answer:
m∠1 = 90°
m∠2 = 55°
Step-by-step explanation:
1. m∠1 = 90° because by definition, the diagonals of a rhombus are perpendicular, or intersect at 90°.
2. Because of vertical angles, the angle opposite of ∠1 is also 90°. A triangle has a total of 180°.
m∠2 + 90 + 35 = 180
90 + 35 = 125
m∠2 + 125 = 180
subtract 125 from both sides to solve for m∠2
m∠2 = 55°
i’m not sure how to solve “system of equations”
Answers
Hey there! :)
Answer:
(2, -2)
Step-by-step explanation:
-2x + y = -6
4x + 3y = 2
We can begin by setting the first equation equal to y:
-2x + y = -6
Add 2x to both sides:
y = 2x - 6
Plug this equation for y into the second equation:
4x + 3(2x - 6) = 2
Distribute:
4x + 6x - 18 = 2
Combine like terms:
10x = 20
x = 2
Plug the value of 'x' into an equation to solve for 'y':
-2(2) + y = -6
-4 + y = -6
y = -2
Therefore, the solution is (2, -2)
30 points A repeating decimal + A fraction...
Answers
Answer:
rational
Step-by-step explanation:
Answer:
Rational Number
Step-by-step explanation:
A repeating decimal added to a fraction will result in a rational number.
evaluate 0.53n + 5 when n= 3 and when n= -3
Answers
Answer:
6.59 and 3.41
Step-by-step explanation:
To evaluate, substitute n for each of the given values.
So when n= 3:
0.53n + 5 = 1.59 + 5 = 6.59
And when n = -3
0.53 n + 5 = -1.59+5=3.41
Hope this helps
PLEASEEEE If z=-1-sqrt3i and z^6 = a+bi, then a=___ and b=___.
Answers
Answer:
a = 94
b = -66√3
Step-by-step explanation:
Given z = [tex]-1-i\sqrt{3}[/tex]
[tex]z^{6}=(z^{3})^{2}[/tex]
[tex](-1-i\sqrt{3})^6=[(-1-i\sqrt{3})^3]^2[/tex]
[tex]=[-(1+i\sqrt{3})^3]^{2}[/tex]
[tex]=[(1+i\sqrt{3})^3]^2[/tex]
[tex]=[(1)^3+(i\sqrt{3})^3+3(1)^2(i\sqrt{3})+3(1)(i\sqrt{3})^2]^2[/tex] [(a + b)³ = a³ + b³ + 3a²b + 3ab²]
= [1 + 3i² + 3i√3 + 9i²]²
= [1 - 3 + 3i√3 - 9]²
= [-11 + 3i√3]²
= (11)² -2(3i√3)(11) + (3i√3)²
= 121 - 66i√3 + 27i²
= 121 - 66i√3 - 27
= (94 - 66i√3)
Comparing it with (a + bi),
a = 94 and b = -66√3
Find the area. Use Pi = 3.14 a. 15.1976 cm2 c. 13.816 cm2 b. 6.908 cm2 d. 60.7904 cm2
Answers
Answer:
A.
Step-by-step explanation:
Diameter = 4.4 cm
Radius = 2.2 cm
Now
Area of the circle = πr²
= (3.14)(2.2)²
= (3.14)(4.84)
= 15.1976 cm²
Answer:
A.
Step-by-step explanation:
D=4.4, therefore, the Radius is equal to 2.2, half of the diameter.
The formula for Area:
A=pir^2.
A=(3.14)(2.2)^2
A=(3.14)(4.84)
A=15.1976
A=15.1976, which is identical to option A.
I REALLY NEED HELP MY DAD YELLED AT ME
Answers
Answer:
2/3
Step-by-step explanation:
f(x)=g(x)
-3x+4=2
Add 3x
3x+2=4
subtract 2
3x=2
divide by 3
x=2/3
Answer:
x= 2/3
Step-by-step explanation:
The value where f(x) = g(x) is where the two functions intersect
That would be at
f(x) = g(x)
-3x +4 = 2
Subtract 2 from each side
-3x = -2
x = 2/3
We know the y value. Substitute x into the equation
g(2/3) = 2
y = 2
The point is (2/3,2)
Plz HELP!!!!!!!!!!!!!!!!!!!!!
Answers
They are Parallel, Intersecting, and perpendicular, if it's helpful let me know
Which of the following have 3 significant figures? Check all that apply
Answers
Answer:
B.
D.
Step-by-step explanation:
PLEASE ASAP FOR BRAINLIEST
Answers
Answer:
27°
Step-by-step explanation:
Angle ABC is 90°
ACB is 63 because it is vertically opposite angle GCJ
Angle CAB is 27° (90-63)
angle x is 27° (vertically opposite CAB)
Which statement is true?
Answers
Answer:B
Step-by-step explanation:
Answer:
The real correct answer is C
Step-by-step explanation:
if x4x2/3=x^awhat is the value of a?
(Number 7)
Answers
Answer:
4 2/3
Step-by-step explanation:
[tex]x^4x^{2/3}= \\\\x^{4+2/3}= \\\\x^{4 \ 2/3}[/tex]
Therefore, a= 4 2/3.
Hope this helps!
find the solution of pair of equation y=0 and y= -6
Answers
Answer:
Step-by-step explanation:
there is no soltion because it is not intersects
Answer:
No solution as it will not intersect.