Answer:
The union of these sets is:
A U B = {2, 3, 5, 7, 8}Step-by-step explanation:
Given the sets
K = {2, 3, 5, 8}L = {3, 5, 7}The union of two sets K and L is the collection of elements that are in K or in L or in both K and L
The 'union' of two sets is denoted by the symbol 'U'.
Therefore, the union of these sets is:
A U B = {2, 3, 5, 7, 8}Important Note: The duplicate or repeated elements of the sets are written only once.
Here are graphs of two functions f and g the function h is defined by h(x)=f(x)-g(x)
1.for which values of x is h(x)=0? explain how you know
2.For which values of x is h(x) 0
3.sketch a graph of h
I am not good at math and don't feel like taking it again pleas help ;-;
i did this last year lol ;-;
The function h(x) is h(x)=5/4 x² - 5/2 x.
What is quadratic equation of graph?A quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola.
The vertex form of a quadratic function is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola. The coefficient a determines whether the graph of a quadratic function will open upwards or downwards.
Here, vertex is (h, k)=(0, 0) and coordinate point is (x, y)=(-2, 5)
So, 5=a(-2-0)²+0
5=4a
a=5/4
Substitute, a=5/4 and (h, k)=(0, 0) in vertex form we get
f(x)= 5/4 x²
Equation of straight line with coordinates (-2, 5) and (0, 0) is
Slope m=5/2
Substitute, m=5/2 and (x, y)=(0, 0) in y=mx+c we get
0=5/2(0)+c
c=0
Substitute, m=5/2 and c=0 in y=mx+c we get
y=5/2 x
So, g(x)=5/2 x
Now, h(x)=f(x)-g(x)
h(x)=5/4 x² - 5/2 x
h(x)=5/2 x(1/2 x-1)
1) h(x)=0
5/2 x(1/2 x-1) =0
1/2 x-1=0
1/2 x=1
x=2
2) For x=2, h(x) is 0
3) Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Therefore, the function h(x) is h(x)=5/4 x² - 5/2 x.
To learn more about the quadratic function visit:
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What is the value of g?
−5+7g=3g+9
A.) g=−1
B.) g = 1
C.) g=125
D.) g=312
Answer:
The answer is D
Step-by-step explanation:
Give the other person brainlest
Answer:
d
Step-by-step explanation:
i took the quiz
Write the equation of the line with the given point and slope: (−5, −3) slope=−35
Answer:
Slope-intercept form: y = -35x - 178
Point slope form: y + 3 = -35 x (x + 5)
Step-by-step explanation:
How many packages of gum can you buy with $18 if one package cost $2?
Which equation best represents this word problem?
Group of answer choices
18 x 2 = p
p - 18 = 2
p + 2 = 18
2p = 18
Answer:
2p = 18
Step-by-step explanation:
Is the relationship a function yes or no?
Answer:
no because 3x nothing equals 14 and 4x nothing equals 18
hope this helps plz mark brainliest
Step-by-step explanation:
Complete the missing value in the solution to the equation:
6x + ==y + 2x
(3,
Answer:
(3, - 2)
given y = - 2, then
- 2x + 4 = - 2 ( solve for x )
subtract 4 from both sides
- 2x = - 6 ( divide both sides by - 2 )
x = -6/-2 = 3
have a wonderful day :)
-Ary
a que altura de cada molde quedara el litro de cera liquida?
Answer:
litros. TODO Cm. Calcula el volumen de cada figura compuesta. Redondea al ... Encuentra la altura h del recipiente a la décima más cercana. ... cubierto, haciendo que el nivel del agua suba 2 pulg.
1/4 of 36 bottles of water =
Answer:
9
Step-by-step explanation:
1/4x36=36/4=9
SOMEONE PLEASE HELP ME WITH THIS I NEED IT!!!
Answer:
to be entirely honest i do not know
Step-by-step explanation:
What are some real world examples of like terms?
Answer:
One twin and One twin have like terms, they're both twins.
A(x) = 2 (3x - 2)(x - 5)
Answer:
Quadratic polynomial can be factored using the transformation ax
2
+bx+c=a(x−x
1
)(x−x
2
), where x
1
and x
2
are the solutions of the quadratic equation ax
2
+bx+c=0.
−x
2
−3x+5=0
All equations of the form ax
2
+bx+c=0 can be solved using the quadratic formula:
2a
−b±
b
2
−4ac
. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.
x=
2(−1)
−(−3)±
(−3)
2
−4(−1)×5
Square −3.
x=
2(−1)
−(−3)±
9−4(−1)×5
Multiply −4 times −1.
x=
2(−1)
−(−3)±
9+4×5
Multiply 4 times 5.
x=
2(−1)
−(−3)±
9+20
Add 9 to 20.
x=
2(−1)
−(−3)±
29
The opposite of −3 is 3.
x=
2(−1)
3±
29
Multiply 2 times −1.
x=
−2
3±
29
Now solve the equation x=
−2
3±
29
when ± is plus. Add 3 to
29
.
x=
−2
29
+3
Divide 3+
29
by −2.
x=
2
−
29
−3
Now solve the equation x=
−2
3±
29
when ± is minus. Subtract
29
from 3.
x=
−2
3−
29
Divide 3−
29
by −2.
x=
2
29
−3
Factor the original expression using ax
2
+bx+c=a(x−x
1
)(x−x
2
). Substitute
2
−3−
29
for x
1
and
2
−3+
29
for x
2
.
−x
2
−3x+5=−(x−
2
−
29
−3
)(x−
2
29
−3
)
EVALUATE
5−3x−x
2Quadratic polynomial can be factored using the transformation ax
2
+bx+c=a(x−x
1
)(x−x
2
), where x
1
and x
2
are the solutions of the quadratic equation ax
2
+bx+c=0.
−x
2
−3x+5=0
All equations of the form ax
2
+bx+c=0 can be solved using the quadratic formula:
2a
−b±
b
2
−4ac
. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.
x=
2(−1)
−(−3)±
(−3)
2
−4(−1)×5
Square −3.
x=
2(−1)
−(−3)±
9−4(−1)×5
Multiply −4 times −1.
x=
2(−1)
−(−3)±
9+4×5
Multiply 4 times 5.
x=
2(−1)
−(−3)±
9+20
Add 9 to 20.
x=
2(−1)
−(−3)±
29
The opposite of −3 is 3.
x=
2(−1)
3±
29
Multiply 2 times −1.
x=
−2
3±
29
Now solve the equation x=
−2
3±
29
when ± is plus. Add 3 to
29
.
x=
−2
29
+3
Divide 3+
29
by −2.
x=
2
−
29
−3
Now solve the equation x=
−2
3±
29
when ± is minus. Subtract
29
from 3.
x=
−2
3−
29
Divide 3−
29
by −2.
x=
2
29
−3
Factor the original expression using ax
2
+bx+c=a(x−x
1
)(x−x
2
). Substitute
2
−3−
29
for x
1
and
2
−3+
29
for x
2
.
−x
2
−3x+5=−(x−
2
−
29
−3
)(x−
2
29
−3
)
EVALUATE
5−3x−x
2
Step-by-step explanation:
Identify the points after a 90 degrees clockwise rotation: A (5, -9) B (3, 1) C(-10, -10)
A (-5, -9)
B (3, -1)
C (10, 10)
helppp
algebraaaaa what is sum of polynomials
Answer:
3x^2+6x+4
Step-by-step explanation:
6x+7+x^2+2x^2-3
3x^2+(7-3)+6x
3x^2+6x+4
solving systems equations: substitution
y=6x+5
y=4x+5
Answer:
y=6x+5 →equation 1
y=4x+5 → equation 2
you can either substitute equation 1 in 2 or equation 2 in 1
substituting equation 1 in 2,
y = 4x + 5
6x + 5 = 4x + 5
6x - 4x = 5 - 5
2x = 0
x = 0/2
x = 0
substituting x = 0 in equation 1, (to get y)
y = 6x + 5
y = 6(0) + 5
y = 0 + 5
y = 5
hope it helps you!!
In a painting, The Great Pyramid of Giza is 45 centimeters tall.
If the pyramid is actually 146.5 meters tall, find the scale.
Answer:
The scale is: 1 cm = 3.26 meter
Step-by-step explanation:
Given
Height of Pyramid in Painting = [tex]H_p = 45 cm[/tex]
Actual Height of Pyramid = [tex]H_a = 146.5m[/tex]
In order to find the scale, we can find the ratio between actual height and height in painting.
The ratio can be found by dividing the actual height by height in painting
[tex]Scale = \frac{H_a}{H_p}\\= \frac{146.5}{45}\\=3.25555 m/cm[/tex]
Rounding off to nearest hundredth
= 3.26
This means that the scale is:
1 cm = 3.26 meter
PLS HELP ME 5.7 + (3z + 0.3)
Answer:
3z + 6
Step-by-step explanation:
5.7 + (3z + 0.3) =
= 5.7 + 3z + 0.3
= 3z + 6
Consider vectors u and v, where u = (1, -1) and v = (1, 1). What is the measure of the angle between the vectors?
Answer:
I believe the answer is C. 90 degrees
Step-by-step explanation:
First you find the lengths of the two vectors, which are both [tex]\sqrt{2}[/tex]. Then you find the angle given the cos using: cos(∅)=[tex]\frac{u*v}{|u|*|v|}[/tex] = [tex]\frac{0}{\sqrt{2}*\sqrt{2} }[/tex] = 0. Then using ∅=acos(0)=[tex]\frac{\pi }{2}[/tex] = 90°
Answer:
c
Step-by-step explanation:
edge
Brainliest!!!!!!!
12(7y+4)
[tex]{\huge{\boxed{\mathcal{\green{ANSWER}}}}} \\ \\ 12(7y + 4) = 0 \\ \\ 84y + 48 = 0 \\ \\ 84y = - 48 \\ \\ y = - 48 \div 84 \\ \\ y = - 0.571 \\ \\ {\huge{\boxed{\mathfrak{\pink{hope \: it \: helps}}}}}[/tex]
Triangle JKL is fromed by plotting three points. What is the leanth of sides JK?
j(1 , 5) k(1, 9)
answers > 6 3 5 2
[tex]\LARGE\leadsto\sf JK=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\LARGE\leadsto\sf \sqrt {(1-1)^2+(9-5)^2}[/tex]
[tex]\LARGE\leadsto\sf \sqrt {(0)^2+(4)^2}[/tex]
[tex]\LARGE\leadsto\sf \sqrt {0+16}[/tex]
[tex]\LARGE\leadsto\sf \sqrt {16}[/tex]
[tex]\LARGE\leadsto\sf JK=4units [/tex]
MS. Candos has 90 invitations to hand out. she will hand out 42 of them the rest will be handed out by 6 students how many got handed out an equal number if invitations
please show work
8) 3n+1 +8n2 – 8n – 7
9. given the function: f(x) =3x-7, find f(-2)
Answer:
D and A
Step-by-step explanation:
8. 1+8n^2-5n-7
8n^2-5n-6
9. -6-7
-13
PLZZZ HELP DUE IN 5mins
Answer:
y=-6x+360
Step-by-step explanation:
The y intercept, b, is easy; its already listed as 360.
The slope we find by using some points:
300-360
10-0
=
-60
10
=
m=-6
y=mx+b
y=-6x+360
Help i will give brainliest to the first one to have a REAL answer
Answer:
y = -32
Step-by-step explanation:
-6 (y+15) = -3y + 6
-6y - 90 = -3y + 6
-3y - 90 = 6 + 90
= -3 = 96
y = -32
Answer:
Y=28
Step-by-step explanation:
Distribute-6(y+15) > -6y-90
-6y-90=-3y+6 add the -3y to the -6y and the -90 to the 6
-3y=-84
Then just divide -84 by -3
can some one help me on this and thank u
Answer:
2<x<3
Step-by-step explanation:
the first one
Please help me, i can't get this question wrong, please and thank you.
Dillon pays x dollars to get a haircut. He gives the stylist a
25% tip. The expression representing his total cost is
x + 0.25x
Which expression is equivalent and why?
A. 1.025x because adding 25% to the cost of the haircut is the same
as multiplying the cost by 1.025.
B. 1.25x because adding 25% to the cost of the haircut is the same
as multiplying the cost by 1.25.
C. 1.25x because adding $25 to the haircut is the same as
multiplying the cost by 1.25.
D. x(0.25) because the cost of the haircut can be factored out.
Answer:
B
Step-by-step explanation:
the percentage of money to be paid is 125% which is equivalent to 1.25 in fraction
The equivalent expression is" 1.25x because adding 25% to the cost of the haircut is the same as multiplying the cost by 1.25. Option B is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that, Dillon pays x dollars to get a haircut. He gives the stylist a 25% tip. The expression representing his total cost is,x + 0.25x
Expressions that function identically while having distinct appearances are called equivalent expressions. If two algebraic expressions are equivalent, then they both have the same result when the same value of the variable is entered.
=x + 0.25x
=1.25x
Thus, the equivalent expression is" 1.25x because adding 25% to the cost of the haircut is the same as multiplying the cost by 1.25. Option B is correct.
Learn more about the expression here:
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Simplify 36*3.
O A. 35
B. 36
O C. 37
O D. 96
HELP ME
Answer:
12/1
Step-by-step explanation:
hope this helped if not sorry
is 9.22222 a irrational number
Answer:
No
Step-by-step explanation:
9.222222 is not a irrational number.
Hope this helps plz hit the crown :D
Answer:
yes it is
Step-by-step explanation:
If y by itself what does that means?
[tex]here \: y \: by \: itself \: means \\ \: y \: stands \: alone \: with \: \\ nothing \: nearby \: it .\\ \\ hope \: it \: helps..[/tex]
Please help me on number (15) Will mark brainliest
Answer:
that will be 12
Step-by-step explanation: