Answer:
C
Step-by-step explanation:
Given f(x) then the graph of f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the right of a units
Thus y = (x + 7)²
represents a shift to the left of 7 units → C
The graph y = x² will slide the graph 7 units left by replacing x with (x+7) thus, the correct option is (C).
How to plot a graph?
In order to plot a graph, we have to substitute all the x's values into a function.
Find out the y's value corresponding to the x's and plot the graph in the coordinate geometry.
By the replacing x by (x + a) in the function y = f(x), the function is going to shift either left or right horizontaly.
1. If a is positive then the graph will slide left of the units.
2. If a is negative then the graph will slide right of the units.
Given that, y = x² is need to replace with y = (x+7)²
Since 7 is positive so the graph will slide 7 units left.
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Which equation can be solved using the expression StartFraction negative 3 plus-or-minus StartRoot (3) squared + 4 (10) (2) EndRoot Over 2 (10) EndFraction for x?
Answer:
A quadratic equation
Step-by-step explanation:
Given
[tex]\frac{-3 +- \sqrt{3^2 + 4(10)(2)}}{2(10)}[/tex]
Required
Which equation can be solved using the above expression
Using the above expression, the equation that can be solved is the roots of a quadratic equation
The general format of the roots of a quadratic equation is given as
[tex]x= \frac{-b +- \sqrt{b^2- 4ac}}{2a}[/tex]
When [tex]x= \frac{-b +- \sqrt{b^2- 4ac}}{2a}[/tex] is compared to [tex]\frac{-3 +- \sqrt{3^2 + 4(10)(2)}}{2(10)}[/tex], one would observe that they have the same format;
Solving [tex]\frac{-3 +- \sqrt{3^2 + 4(10)(2)}}{2(10)}[/tex] further to get the values of x
[tex]x = \frac{-3 +- \sqrt{3^2 + 4(10)(2)}}{2(10)}[/tex]
[tex]x = \frac{-3 +- \sqrt{9 + 4*10*2}}{2*10}[/tex]
[tex]x = \frac{-3 +- \sqrt{9 + 80}}{20}[/tex]
[tex]x = \frac{-3 +- \sqrt{89}}{20}[/tex]
So;
[tex]x = \frac{-3 + \sqrt{89}}{20} \ or \ x = \frac{-3 - \sqrt{89}}{20}[/tex]
Answer:
B) 2 = 3x + 10[tex]x^{2}[/tex]
Step-by-step explanation:
took the test
Please do quickly Thank you
Answer:
21x+4
Step-by-step explanation:
To find the perimeter you have to add up all the sides
Solve for x in the equation 3 x squared minus 18 x + 5 = 47.
(I need this to be an answer like X=3+\_ square root 23)
Answer:
(4+√142)/(3) or x=(4-√142) /3
Step-by-step explanation:
(4+√142)/(3) or x=4-√142 /3
make r the subject of the formula t=r/r-3
Answer:
r = t(r-3)
Step-by-step explanation:
t = r/r-3
r/r-3 = t
r = t x (r-3)
What is X...……………………….
Answer:
x=6
Step-by-step explanation:
You can reach this answer by doing the equation
4+(x-3) = 2x-5
doing the math you will get that 6 is your x.
Hope this helps :)
point A (-3,-5) and point M is at (-1,-7) what are the coordinates point of be
point M is the midpoint off point A and point B
Answer: B = (1,-9)
Step-by-step explanation:
[tex]x_M=\frac{x_A+x_B}{2} \\\\y_M=\frac{y_A+y_B}{2} \\\\\\x_B = 2x_M-x_A=2(-1)-(-3)=1\\\\y_B = 2y_M-y_A=2(-7)-(-5)=-9\\[/tex]
Answer:
the answer is b
Step-by-step explanation:
Kerry read 2/3 of her chemistry book containing 420 pages. David read 3/4 of the same. Who read more pages and by how many pages?
Answer:
Kerry = 2/3 * 420 = 280
David = 3/4 * 420 = 315
David read more pages compared to Kerry.
David read 35 more pages than Kerry.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Chemistry book contains 420 pages.
Kerry read 2/3 of her chemistry book,
= 2/3 x 420
= 280 pages.
David read 3/4 of her chemistry book,
= 3/4 x 420
= 315 pages.
315 - 280 = 35 pages.
Therefore, David read more pages.
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=ñ
= 80° and m
= 40°, then m
<1 =
VU
ST
60
20
40
Answer:
Option (2).
Step-by-step explanation:
In the figure attached,
PB is a tangent and m(arc VU)= 80°, m(arc ST) = 40°
By theorem of angle between intersecting secants,
"If two secants have been drawn to a circle from a point outside the circle, then the angle between the secants will measure the half of the difference of the intercepted arcs."
[tex](m\angle 1)=\frac{1}{2}(m\widehat{VU}-m\widehat{ST})[/tex]
[tex]=\frac{1}{2}(80-40)[/tex]
= 20°
Therefore, Option (2) will be the answer.
Share 35 sweets in the ratio 4:3
number sweet is 35
we divided ratio =4x:3x
total = 4x+3x
7x= 35
= 35/7
x= 5
1 st part will be 4x = 4*5= 20 sweets.
2 nd part will be 3x = 3*5= 15sweets
WILL GIVE BRIANLIEST FOR THE FIRST ANSWER! The solution to an equation is [tex]n=-5[/tex]. The equation has parentheses on at least one side of the equation and has variables on both sides of the equation. What could the equation be?
Answer:
1*2(3-2n) = 2(n-2)
Thanks for giving question. I am working my way up to brainliest and Master Answerer
someone help plz :(((( !!!
Answer: 9/4a^2|b^3|c^4
Step-by-step explanation:
81/16
Square root(81) = 9
Square root(16) = 4
9/4
Since 4 is the index of the radical, all of the exponents divide by 4
(index 4)a^8 = a^2
(index 4)b^12 = b^3
(index 4)c^16 = c^4
Now put the variables together to get the answer:
9/4a^2|b^3|c^4
Pls help with this (im not trying to be annoying)
Two of the opposite vertices of a square have the coordinates (4, - 4) and ( - 3, 3) respectively as shown on the grid below. Which of the following are the coordinates of the OTHER two vertices of the square?
Answer:
(4 , 3 ) and (-3 , -4)
Step-by-step explanation:
Other two vertices will be in 1st quadrant and 3 rd quadrant
Answer: (4 , 3 ) and (-3 , -4)
Step-by-step explanation: Other two vertices will be in 1st quadrant and 3 rd quadrant
Please help with this question
Answer:
the SSS similarity theorem
Step-by-step explanation:
The triangles are not indicated as being right triangles (even though we know they are), so we cannot use the HL theorem.
The ratios of corresponding sides are the same, so the applicable theorem is ...
the SSS similarity theorem
__
3/(3+6) = 4/(4+8) = 5/15 = 1/3 . . . the ratio of shorter sides to corresponding longer sides.
_____
Additional comment
You recognize the smaller triangle as a 3-4-5 right triangle, and notice that the larger triangle is 3 times that size. If angle C were marked as the right angle it is, then the HL similarity theorem could also be used.
City Middle School held its annual musical production last weekend. Of the 700 tickets sold, 55% were for the Saturday performance. How many tickets were sold for the Saturday show?City Middle School held its annual musical production last weekend. Of the 700 tickets sold, 55% were for the Saturday performance. How many tickets were sold for the Saturday show?
Answer: 385 tickets
Step-by-step explanation:
From the question, City Middle School held its annual musical production last weekend and of the 700 tickets that were sold, 55% were for the Saturday performance. The number of tickets that were sold for the Saturday show will be 55% of 700. This can be expressed mathematically as:
= 55% of 700
= 55/100 × 700
= 55 × 7
= 385 tickets
385 tickets were sold for the Saturday show.
Answer:
ITS IS A= 385
Step-by-step explanation:
The length of a rectangle is 11 less than 9 times the width. The
perimeter of the rectangle is 18 inches.
Answer:
Length = 7 Width = 2
Step-by-step explanation:
L = Length
W = Width
L=9w-11
2L+2W=18
2(9W-11) + 2W = 18
18W - 22 +2W = 18
20W -22 = 18
20W = 40
W = 2
L = 9(2)-11
L=18-11
L=7
The length and width of the rectangle is equals to 7inches and 2inches respectively.
What is rectangle?" Rectangle is defined as the quadrilateral whose opposite sides are congruent and parallel to each other , one of the interior angle is of measure 90°."
Formula used
Perimeter of the rectangle = 2 (length + width)
According to the question,
Given,
Perimeter of the rectangle = 18inches
'x' represents the width of the rectangle
As per the condition given,
Length of the rectangle = [tex]9x -11[/tex]
Substitute the value in the formula we get,
[tex]2(9x -11 +x)=18[/tex]
⇒[tex](10x-11)=\frac{18}{2}[/tex]
⇒[tex]10x= 9+11[/tex]
⇒[tex]x= 2inches[/tex]
Length of the rectangle = [tex]9(2)-11[/tex]
= [tex]18-11[/tex]
= [tex]7inches[/tex]
Hence, length and width of the rectangle is equals to 7inches and 2inches respectively.
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Can someone explain me how to find square root by prime factorization ?
Answer:
STEPS Step I: Obtain the given number. Step II: Resolve the given number into prime factors by successive division. Step III: Make pairs of prime factors such that both the factors in each pair are equal. Since the number is a perfect square, you will be able to make an exact number of pairs of prime factors. Step IV: Take one factor from each pair. Step V: Find the product of factors obtained in step IV. Step VI: The product obtained in step V is the required square root.ExampleFind the square root of 324
324 = 2 x 162 = 2 x 2 x 81 = 2 x 2 x 3 x 27 = 2 x 2 x 3 x 3 x 9 = 2 x 2 x 3 x 3 x 3 x 3 ∴ √324 = √( 2 x 2 x 3 x 3 x 3 x 3 ) √324 = 2 x 3 x 3 √324 = 18Krista was assigned a homework problem that stated there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents. To solve this problem, she wrote the system of equations that is shown below. 0.40 x + y = 45. x + 0.55 y = 18.75. Which explains the error that Krista made? Krista put 0.40 in the first equation meant for the number of stamps. Krista put 0.55 in the second equation meant for the value of stamps. Krista did not use the correct decimal to represent the total cost of the stamps. Krista mistakenly put 45 in the first equation when it should have been in the second equation.
PLEASE HURRY I REALLY NEED HELP WILL GIVE BRAINLIEST
Answer: Krista put 0.40 in the first equation meant for the number of stamps
Step-by-step explanation: From the information available to Krista, she can determine the number of stamps that cost 40 cents and those that cost 55 cents. What she needs is a system of simultaneous equations both of which would use the total number of stamps and the total cost of stamps to determine the how many stamps cost 40 cents and how many costs 55 cents.
The system of equations should have been,
x + y = 45 ----------(1)
0.40x + 0.55y = 18.75 ----------(2)
From equation (1), let x be the subject of the equation and hence x = 45 - y
Substitute for the value of x into equation (2)
0.40(45 - y) + 0.55y = 18.75
18 - 0.40y + 0.55y = 18.75
Collect like terms and you now have
0.55y - 0.40y = 18.75 - 18
0.15y = 0.75
Divide both sides of the equation by 0.15
y = 5
When y has been calculated as 5, substitute for the value of y into equation (1)
x + y = 45
x + 5 = 45
x = 45 - 5
x = 40
The results show that the stamps that cost 0.40 cents (x) were 40 in number while those that cost 0.55 cents (y) were 5 in number.
This answer could not have been derived due to the mistake Krista committed when writing the equations.
Answer:
a
Step-by-step explanation:
can you please help me with functions
Option D is the right answer
(-1,4),(1,7),(2,10)
It is a function because input X values have its unique output y values.
hope it helps
Good luck on your assignment
which number is one less than a cube number?
20
22
24
26
The number less than a cube is 26.
What is cube of a number?The cube of a number is obtained by multiplying the number three times.
Determine the cube of 3.
3·3·3=27
So, the cube of 3 is 27.
From the given options it can be observed that the number 26 is 1 less than 27.
Thus, the number one less than cube is 26.
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Solve the system of equations. –6x + y = –21 2x − 1 3 y = 7 What is the solution to the system of equations? (3, 3) (2, –9) infinitely many solutions no solutions
Answer:
[tex]y = - 15 \\ x = - 94[/tex]
Step-by-step explanation:
it's not both of dem
The solution to the system of equations is x= −133/ 40 and y= −21/ 20
What is a system of equations?A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one.
6x+ y= -21 is equation (1)
2x - 13y= 7 is equation (2)
Solve 6x+y=−21 for y:
6x+y=−21
6x+y+−6x=−21+−6x
y=−6x−21
Substitute −6x−21 for y in 2x−13y=7:
2x−13y=7
2x−13(−6x−21)=7
80x+273=7
Now Simplify both sides of the equation;
80x+273+−273=7+−273
Add -273 to both sides
80x=−266
x= −133/ 40
y=−6x−21
y=−6( −133 /40 )−21
y= −21/ 20
Hence x= −133/ 40 and y= −21/ 20
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Find the sum of ( 1- 1/n) + (1 - 2/n) + ( 1 - 3/n)...upto n terms
Answer:
(n-1) / 2
Step-by-step explanation:
We have that the sum has the form of:
Sn = n / 2 [2 * a + (n-1) * d]
we compute the terms of a and d
a = 1 - 1 / n
a = (n - 1) / n
, that is, the first term, in the case d is the subtraction between the second and the first term, thus:
d = 1 - 2 / n - (1 - 1 / n)
d = 1 - 2 / n - 1 + 1 / n
d = - 1 / n
now if replacing these values:
Sn = n / 2 * [2 * (n - 1) / n + (n-1) * (- 1 / n)
Sn = n / 2 * [2 * (n-1) - (n-1)] / n
Sn = 1/2 * (n-1)
Therefore, the value of that sum is (n-1) / 2
acute angle of rhombus whose side is a mean proportional between the diagonal is mean proportional of a and b is root ab
Answer:
Step-by-step explanation:
If 153 = 2 (z +z)n, then what is the value of 4nz + 20
Answer:
The value of 4 n z + 20 = 173
Step-by-step explanation:
Explanation:-
Given 153 = 2 (z +z )n
2 ( z + z) n = 153
2 ( 2 z ) n = 153
4 z n = 153
Adding '20' on both sides , we get
4 z n + 20 = 153 + 20
4 z n + 20 = 173
Final answer:-
The value of 4 n z + 20 = 173
PLZ HLP MEEEEEEEEEEEEEE
Answer:
D
Step-by-step explanation:
The total number of students is 15+12= 27
The ratio of girls to total students is 12/27 = 4/9
Karla empleo 6kg de manzanas para elaborar 90 bocadillos mas ¿Cuantos Kilogramos de manzanas necesitara? ¿ cuantos bocadillos podria hacer con 12kg de manzanas?
Answer:
12kg apple will make 189 more sandwiches
Step-by-step explanation:
Here, we are told that 6kg of apple was used to make 90 more sandwiches and we need to know the number of sandwiches that can be made from 12kg of apples.
Now;
6kg made 90 sandwiches
12kg will make x sandwiches
To get x, we simply cross multiply
6 * x = 12 * 90
x = (12 * 90)/6
x = 2 * 90
x = 180 sandwiches
UN RECOLECTOR COMPLETA CUATRO CAJAS DE CAFE CADA CAJA LE CAVE 25/2 DE KILOGRAMOS DE CAFE SI SE RECOJE DIARIAMENTE CUATRO CAJAS¿CUANTOS KILOGRAMOS DE CAFE RECOJE EN TOTAL?
Answer:
El recolector recoge un total diario de 50 kilogramos.
Step-by-step explanation:
(The following problem is written in Spanish and for such reason explanation will be held in the same language)
La masa total diaria recogida es igual al número de cajas recogidas por día y la capacidad de la caja. Entonces:
[tex]m = n \cdot m_{unit}[/tex]
[tex]m = (4\,cajas)\cdot \left(\frac{25}{2}\,\frac{kg}{caja} \right)[/tex]
[tex]m = 50\,kg[/tex]
El recolector recoge un total diario de 50 kilogramos.
How would you go on dividing 7/893
Answer:
0.00783874
Step-by-step explanation:
7/893= 0.00783874
I just put it in the calculator
write 47 and 1000 as a decimal
Answer:
47=4.7
1000= 100.0
The points (-3, 5) and (3,5) are two verticles of a square. list all other order pairs that could be the other two verticles of the square.
Answer:
((-3,-1),(3,-1)),((-3,11),(3,11))
Step-by-step explanation:
The distance between the two vertices is 6
So, add 6 and minus 6 to the y coordinates.
Answer:
( - 3, - 1 ), ( 3, - 1 ) / ( - 3, 11 ), ( 3, 11 )
Step-by-step explanation:
Let us first consider the distance between points ( - 3, 5 ) and ( 3, 5 );
[tex]( - 3, 5 ), ( 3, 5 )\\Distance = 3 + 3 = 6 units[/tex]
If these are points that are vertices of the square, it should be that the other 2 points are 6 units farther from these points;
[tex]Distance = 6 units,\\( - 3, 5 ) - ( - 3, - 1 )\\( 3, 5 ) - ( 3, - 1 )[/tex]
[tex]Distance = 6 units,\\( -3, 5 ) - ( - 3, 11 )\\( 3, 5 ) - ( 3, 11 )[/tex]
Let us confirm ( -3, - 1 ) and ( 3, - 1 ) are 6 units apart, respectively ( -3, 11 ) and ( 3, 11 ) to say they are the other two vertices;
[tex]( - 3, - 1 ), ( 3, - 1 )\\Distance = 3 + 3 = 6 units[/tex]
[tex]( -3, 11 ), ( 3, 11 )\\Distance = 3 + 3 = 6 units[/tex]
Thus, the possible vertices are ( - 3, - 1 ) and ( 3, - 1 ) or ( - 3, 11 ) and ( 3, 11 )
