[tex]\text{Hi there! :D}[/tex]
[tex]\boxed{\text{There is a horizontal shift of 1 unit left and 5 units down.}}[/tex]
[tex]\text{Recall that the transformations form of a quadratic function is:}\\\\y = \pm a(b(x-h))+k \text{ where:}\\\\a = \text{ vertical stretch/compression}\\\\b = \text{ horizontal stretch/compression}\\\\h = \text{ shift left/right}\\\\k = \text{ shift up/down}\\\\\text{Therefore, in this instance:}\\\\h = -1\\\\k = -5, \text{ so:}\\\\\text{There is a horizontal shift of 1 unit left and 5 units down.}[/tex]
2x+8 + 3x+6 = 7x i need help fast
Answer:
x=7 Hope this helps :)
Step-by-step explanation:
Let's solve your equation step-by-step.
2x+8+3x+6=7x
Step 1: Simplify both sides of the equation.
2x+8+3x+6=7x
(2x+3x)+(8+6)=7x(Combine Like Terms)
5x+14=7x
5x+14=7x
Step 2: Subtract 7x from both sides.
5x+14−7x=7x−7x
−2x+14=0
Step 3: Subtract 14 from both sides.
−2x+14−14=0−14
−2x=−14
Step 4: Divide both sides by -2.
−2x
−2
=
−14
−2
x=7
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 7}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{2x + 8 + 3x + 6 = 7x}[/tex]
Add the like terms : 2x and 6
[tex] \dashrightarrow{ \sf{5x + 8 + 6 = 7x}}[/tex]
Add the numbers : 8 and 6
[tex] \dashrightarrow{ \sf{5x + 14 = 7x}}[/tex]
Move 7x to left hand side and change it's sign
Similarly, move 14 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{5x - 7x = -14}}[/tex]
Subtract 7x from 5x
[tex] \dashrightarrow{ \sf{ - 2x = - 14}}[/tex]
Divide both sides by -2
[tex] \dashrightarrow{ \sf{ \frac{ - 2x}{ - 2} = \frac{-14}{ - 2}}} [/tex]
Calculate
[tex] \dashrightarrow{ \boxed{ \sf{x = 7}}}[/tex]
Hope I helped!
Best regards! :D
Simplify the expression:
(2f - 6)(-3)
Answer:
Simplify the expression.
−
6f+18
Step-by-step explanation:
Calculate the sum and enter it, as a fraction in lowest terms, using the
slash (/) for the fraction bar. 4/15 + 7/9
Answer:
47/45 or 1 and 2/45
Step-by-step explanation:
47/45 or 1 2/45
4/15 +7/9
× 3/3. × 5/5
12/45 + 35/45
47/45
If SLDG is an isosceles trapezoid, what is the value of x?
SD-x5
LG - 5x+21
O A. 26
O B. 23
O C. 13
O D. 18
O E. 24,5
O E Cannot be determined
Answer:
13
Step-by-step explanation:
Applying the definition of the diagonals of an isosceles trapezoid, the value of x is: C. 13.
What is an Isosceles Trapezoid?An isosceles trapezoid has two congruent legs and two diagonals that are congruent.
Given:
SD = 8x - 5LG = 6x + 21Thus:
SD = LG
Substitute
8x - 5 = 6x + 21
Combine like terms and find x
8x - 6x = 5 + 21
2x = 26
x = 26/2
x = 13
Thus, applying the definition of the diagonals of an isosceles trapezoid, the value of x is: C. 13.
Learn more about isosceles trapezoid on:
https://brainly.com/question/10187910
NO is an angle bisector. Solve for x.
A. x = -10
B. Not enough information
C. x = 10
D. x = 4
4. Compare/contrast the data sets below. Which data set has a range of 9, a mean of
15, a median of 14, and a mode of 11? How do you know (show work)? Why do the
other choices fail to meet the criteria? State one reason why each of the other
choices fail.
A. 11, 11, 13, 15, 20
B. 5, 11, 14, 14, 31
C. 11, 11, 14, 19, 20
D. 6, 10, 14, 15, 15
Let's first find the mode of each data set.
Mode = the largest value - the smallest value.
A. 20 - 11 = 9
B. 31 - 5 = 26
C. 20 - 11 = 9
D. 15 - 6 = 9
B fails because its mode does not equal 9.
Let's find the mean of A, C, and D
The mean = the sum of all data values divided by the number of data values.
A. (11 + 11 + 13 + 15 + 20) / 5 = 14.2
C. (11 + 11 + 14 + 19 + 20) / 5 = 15
D. (6 + 10 + 14 + 15 + 15) / 5 = 12
Options A and D fail because their mean does not equal 15.
Let's find the median and mode of option C
Median = the value which falls into the middle of our data set
11, 11, 14, 19, 20 = 14
Mode = the value which appears most often
In option C, 11 appears twice and every other number appears once, therefore, 11 is the mode.
AC
B is between the points A and C on
Write an equation using the information in
terms of x. Find x, AB, and BC.
AB = 8x + 5
BC = 5x - 9
AC = 74
The equation is given as: 13x - 4 - 74 = 0
The value of x is 6
AB = 53
BC = 21
Given,
B is between points A and C on AC.
AB = 8x + 5
BC = 5x - 9
AC = 74
We need to write an equation using the information in terms of x
We also need to find x, AB, and BC.
If there is a point between two points of a line, the sum of the two lines separated by the point is equal to the line given.
Example:
M______N____________O
Then,
MN + NC = MO
Find the equation that represents AC with point B between A and C.
We have,
A______B___________C
AB = 8x + 5
BC = 5x - 9
AC = 74
Now,
AC = AB + BC
74 = 8x + 5 + 5x - 9
74 = 13x - 4
13x - 4 - 74 = 0
Find x.
74 + 4 = 13x
78 = 13x
x = 78 / 13
x = 6
Find AB
AB = 8x + 5
= 8x6 + 5
= 48 + 5
= 53
Find BC
BC = 5x - 9
= 5x6 - 9
= 30 - 9
= 21
Thus,
The equation is given as: 13x - 4 - 74 = 0
The value of x is 6
AB = 53
BC = 21
Learn more about finding the length of the segments made by a point between two points here:
https://brainly.com/question/24710432
#SPJ2
Which is a y-intercept of the continuous function in the table? (0, –6) (–2, 0) (–6, 0) (0, –2)
Answer:
(0, - 6)
Step-by-step explanation:
The y- intercept is where the function crosses the y- axis.
This occurs when x = 0 , thus
From the table when x = 0, f(x) = - 6
The y- intercept is therefore (0, - 6 )
Answer:
(0, - 6)
Step-by-step explanation:
how to solve the following quadratic equations; 2L, m, o, 3a and g
Answer:
Please see the attached pictures for full solution.
The box-and-whisker plot below
shows the test scores for the last
quiz. What is the interquartile range?
IS
40
50
60
70
80
90
100
Answer:
Interquartile range = 40
Step-by-step explanation:
interquartile range = Q3-Q1
It has 7 numbers, in order to make it even we remove the middle number (70) to make two sets of quartiles
Q1 = 50 (middle of the lower quartile)
Q3= 90 (middle of the higher quartile)
If you studied “the world in spatial terms” as a geographer, what would you most likely focus on?
A.what natural environment are in an area
B.which culture and traditions are common
C.what to plan for the future
D.where things are located in relation to one another
Answer:
A.) What natural environments are in an area
Step-by-step explanation:
ahh sorry! i need help again! question 25! if you can, please include steps! thanks!
Answer:
2
Step-by-step explanation:
2x^2 -3xy^3
Let x=-2 and y =-1
2 ( -2)^2 -3 (-2) (-1)^3
Using PEMDAS, we do exponents first
2 ( 4) - 3(-2) (-1)
Multiply nexy
8 - 6
2
In this question, we are required to find
[tex]2 {x}^{2} - 3x {y}^{3} [/tex]
When, x = -2 and y = -1
We just need to plug the values of x and y in the given polynomial to get our required answer.
Given, Polynomial in variable x and y,
[tex]2 {x}^{2} - 3x {y}^{3} [/tex]
Plugging values of x and y,
[tex]2 {( - 2)}^{2} - 3( - 2)( - 1) {}^{3} [/tex]
According to PEMDAS, we need to do the exponents first, So let's simplify the exponents,
[tex]2(4) - 3( - 2)( - 1)[/tex]
Opening the parantheses and finding the answer,
[tex]2 \times 4 - 3 \times - 2 \times - 1[/tex]
[tex]8 -6[/tex]
[tex] \boxed{ \red{2}}[/tex]
This is our required answer !!
#CarryOnLearning
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how do I simplify the expression
-(10)-2
Answer:
First distribute the negative -(10)
it becomes a -10
them add the -10 and -2
and the answer in - 12 because a negative plus a negative equals a negative
4. Error Analysis Jacinta says that the product of a rational number and an irrational number is always irrational. Explain her error.
Answer:
She did not consider the multiplicative inverse property of a real number
Step-by-step explanation:
Jacinta in her conclusion did not consider the Multiplicative Inverse property of real numbers.
Let x be an irrational number.
So, [tex]$ x.\frac{1}{x}= 1$[/tex]
If x is an irrational number, then its reverse is also an irrational number. So by the Multiplicative Inverse property their product is 1 and 1 is a rational number. Thus, Jacinta was incorrect.
17. A man can row at 8 km/hr in still water. If the
river is running at 2 km/hr, it takes him 48
minutes to row to a place and coming back. How
far is the place ?
(a) 1 km
(b) 2 km en
(c) 3 km
(d) 4 km
Answer:
(c) 3 km
Step-by-step explanation:
Speed in still water: 8 km/h
Speed of river: 2 km/h
Speed downstream: 8 km/h + 2 km/y = 10 km/h
Speed upstream: 8 km/h - 2 km/h = 6 km/h
total time both ways: 48 minutes = 48/60 hour = 0.8 hour
time to go upstream: t
time to go downstream: 0.8 - t
speed = distance/time
s = d/t
d = st
Upstream:
d = st
d = 6t
Downstream:
d = st
d = 10(0.8 - t)
The distance upstream and downstream is the same.
6t = 10(0.8 - t)
6t = 8 - 10t
16t = 8
t = 0.5
d = 6t = 6(0.5)
d = 3
Answer: (c) 3 km
Your cell phone plan costs $29.99 per month plus $0.17 for each text message you send or receive. You have at most $34 to spend on your cell phone bill. What is the maximum number of text messages that you can send or receive next month? (with step by step solution).
Answer:34.00-29.99=4.01. 4.01÷0.17=
Step-by-step explanation:
What is the greatest common
factor of the following three
numbers?
12, 18,32
Answer:
2
Step-by-step explanation:
12:1,2,3,4,6,12
18:1,2,3,6,9,18
32:1,2,4,8,16,32
h.c.f = 2
I don’t understand this please help
Answer:
3rd option
Step-by-step explanation:
-8 ≥ -5x + 2 > -38 subtract 2 from all three expressions
-10 ≥ -5x > -40 divide by 5
-2 ≥ -x > -8 now multiply by -1
2 ≤ x < 8
YALL. I NEED HELP FOR SCIENCE
Answer:
i got dis the answer is 13
Step-by-step explanation:
so its going 31 to the right minus 8 so 23 to the right. for it to get to be 10 it would be 13
Using this system of linear equations: show all of the steps to solve using substitution.
Answer:
(1,5)
Step-by-step explanation:
y=3x+2
x+2y = 11
Substitute the whole value of y to the second equation:
x+ 2 (3x +2)=11
Distribute 2
x+6x+4=11
Combine like terms:
7x=7
x=1
Plug in the x value to any equation:
y=3(1)+2
y=3+2
y=5
determine the domain of each of the real functions
f (x) =
[tex] \sqrt{x2 - 16} [/tex]
f(x) =
[tex] \sqrt{4 - x2} [/tex]
f(x) =
[tex] \frac{5}{ \sqrt{9 - x2} } [/tex]
What is the length of side AB of the triangle
the length of sides AB of the triangle is sum of all sides..
Find the product of (x + 5)(x − 5).
Answer:
x² - 30 + 5x
Step-by-step explanation:
(x + 5)(x − 5)
=x(x − 5)+5(x − 5)
=x² - 5 + 5x - 25
=x² - 30 + 5x
Which of the quadratic functions listed is written in standard form?
O A. Y= 2x² + 3x - 5
O B. Y-4 = - 3(x - 5)
OC. Y - 7 = -2(x + 3)?
O D. Y= (x+1)(x – 5)
Answer: A
Step-by-step explanation:
f(x)=ax²+bx+c is the standard form for quadratic functions. Looking at the answer choices, we can eliminate B, C, D. They are not the same as the given standard form. B and C are point-slope formulas, which are not standard form. D is in intercept form, therefore it is not standard form. This leaves us with A as the correct answer.
4= -2(x-2) +4 please help I’ll give you points!
4 = -2(x-2) + 4
or, 4 = -2x + 4 + 4
or, 4 = -2x + 8
or, 4 - 8 = -2x
or, -4 = -2x
or, -4/-2 = x
or, 2 = x
Answer:The value of x is 2.
Answer:
x = 1
Step-by-step explanation:
4 = -2( x - 2) + 4
4 = -2x - (-2) +4
4 = -2x + 2 + 4
4 = -2x + 6
4 - 6 = -2
6 - 6 = 0
-2 = -2x
x = 1
hopefully this helps you get it right and if it does pls mark as brainlest ( it really helps if you do). :)
What is the sum for the expression below? 234+114+312
Answer:
660
Step-by-step explanation:
Which point represents the vertex of the marked angle?
Α. Α
B. E
C.C
D.B
Answer:
B. E
Step-by-step explanation:
The vertex is the middle of the angle.
I hope this helped!
Please help, question is in photo below, about finding angles.AWARDING MORE POINTS
Step-by-step explanation:
[tex](2x + 23) + (9x - 5) = 11x + 18 \\ 11x + 18 = 95 \: \: \: \: 11x = 77 \\ x = 7 \\ abd = (2 \times 7) + 23 = 37 \\ dbc = (2 \times 9) - 5 = 13[/tex]
Answer:
x=7
m<ABD=37°
m<DBC=58°
Step-by-step explanation:
Add the two equations. They need to equal 95. Solve for x.
(2x+23)+(9x-5)=95
11x+18=95
11x=95-18
11x=77
x=7
Substitute 7 in for x to both equations to solve for the angle degrees.
m<ABD=2x+23 = 2(7)+23 = 14+23 = 37
m<DBC=9x-5 = 9(7)-5 = 63-5 = 58
CHECK: 37+58=95
At the aquarium there are 840 sharks and 630 lion fish, for a total of 1470 fish all together. What is the ratio of fish to sharks?
(Reduce your ratio to lowest terms, for example reduce 15:6 to 5:2
Answer:
7:4
Step-by-step explanation:
The number of sharks at the aquarium is 840
The number of lion fish is 630
The total number of fish is 1470
Therefore the ratio of fish to sharks can be calculated as follows
= 1470/840
= 7:4
Hence the ratio of fish to sharks is 7:4
Gaston claims to eat 6 dozen eggs every morning. If the hens in his town lay 2 eggs per day, what is equation that represents the relationship between the total number of eggs Gaston eats each morning and the number of hens (h) needed to support his diet?
Answer:
72=2h
Step-by-step explanation:
6x12=72