Answer: 7(n + 4)
Step-by-step explanation:
I'm not sure how to explain this one, but I'll try:
Seven times the sum of a number, n, and four
7 times n + 4 (sum means addition)
Solve.
Sy= 2x - 6
4x – 2y = 14
Use the substitution method
Answer:
14.4 i hope it helped you
The function f(x) = x2 has been translated 9 units up and 4 units to the right to form the function g(x). Which represents g(x)?
g(x) = (x + 9)2 + 4
g(x) = (x + 9)2 − 4
g(x) = (x − 4)2 + 9
g(x) = (x + 4)2 + 9
Answer:
The function that represents g(x) is the third choice: g(x) = (x − 4)^2 + 9
Step-by-step explanation:
The original function has been shifted 9 units up (a vertical transformation). To show a vertical transformation, all we have to do is either add or subtract at the end of the function.
To show a shift upwards, we add the value of change.
To show a shift downwards, we subtract the value of change.
In this case, the original function f(x) = [tex]x^{2}[/tex] was translated 9 units up. Since we shifted up, we simply add 9 to the end of the function: g(x) = [tex]x^{2}[/tex] + 9
The original function has also been shifted 4 units to the right. This is a horizontal transformation. To show a horizontal transformation, we need to either add or subtract within the function (within the parenthesis).
To show a shift to the left, we add the value of change.
To show a shift to the right, we subtract the value of change.
*Notice: Moving left does NOT mean to subtract while moving right does NOT mean to add. The rules above are counterintuitive so pay attention when doing horizontal transformations.
In this case, the original function f(x) = [tex]x^{2}[/tex] was translated 4 units to the right. Since we shifted right, we must subtract 4 units within the function/parenthesis: g(x) = [tex](x-4)^{2}[/tex]
When we combine both vertical and horizontal changes, the only equation that follows these rules is the third choice: g(x) = (x − 4)^2 + 9
Answer: C
Step-by-step explanation:
kim is 10 years older than laura. laura is twice as old as melissa. if melissa will be 1o years old in 5 years, how old is kim now
Answer:
Kim is 20 years old
Step-by-step explanation:
We have to make equations;
Kim= laura+10 so L+10
Laura is twice as old as Melissa so Laura will be
2 X M = 2M
Melissa is 5 years old nowInput values in to the equation
2M = 2X5= 10 years old (Laura)As Kim is 10 years older than Laura it will be 10+10
which will give the answer of 20The age of Kim is 20 years.
What is Equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).
Parts of an EquationThere are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables. As opposed to this, an equation with variables is an algebraic equation.
Kim's age = laura' age +10 years
= x +10
As, Laura is twice as old as Melissa
Laura's age = 2*y
Now, Melissa is 5 years old now
So,
2y = 2X5= 10 years old
So, the Kim's age= 10+ 10 = 20 years old
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ2
a bag contains 10 playing cards . 7 of which are Black and 3 Red . Two cards are drawn one after the other from the bag without replacement. A. Find the probability that a Red and a Black cards were drawn.
Number of red balls =3
Number of black balls =7
Total number of balls =10
Let ,P(A)= Probability that first is red
P(B)= Probability that second is red
If second is red, there are 2 possible ways
Either first is red and second is red.
Or first is black and second is red.
So,
P(B)=
10
3
C
1
×
9
2
C
1
+
10
7
C
1
×
9
3
C
1
=
90
6
+
90
21
=
90
27
=
10
3
Probability that first is red, given second is red
P(A/B)=
P(B)
P(A∩B)
=
10
3
10
3
C
1
×
9
2
C
1
=
10
3
90
6
=
90
6
×
3
10
=
27
6
=
9
2
.
8. Tianna and Liam charge for tutoring.
Tianna's charges a base fee of $40, and $10 per hour of tutoring.
Liam charges $20 per hour of tutoring.
a. State an algebraic model for each tutor to represent the relationship between the total charge and
time. Use C to represent total charge ($) and t for time (hours).
.
John walked from town A to Town B at a uniform speed of 4km/hr.When he reached town B ,he was turned back immediately and he walked back to town A along the same road at a uniform speed of 6km/hr.What is his average speed for the whole trip?
Answer:
His average speed for the whole trip is 5km/hr
Step-by-step explanation:
Answer:
4.8 km/hr
Step-by-step explanation:
Assume that the distance is 24 km (evenly divisible by 4 & 6)
then the A-B time would be 24/4 or 6 hrs.
on the return the time would be 24/6 or 4 hrs.
total time 10 hrs total distance 48 km....
48/10 = 4.8 km/hr
Find the measure of a.
Answer:
a is 44 degree
Step-by-step explanation:
Find an equation in slope-intercept form of the line that has slope –7 and passes through point A(8,-4)
a.) y = 52x + 7
b.) y = 7x + 52
c.) y = -7x - 52
d.) y = -7x + 52
Answer:
y = -7x + 52
Step-by-step explanation:
y = -7x - b
-4 = -7(8) + b
-4 = -56 + b
52
Two linear functions are described below.
Function f(x) has the equation f(x)=3x−4.
Function g(x) has the table of values shown below.
x g(x)
0 4
3 5
6 6
9 7
Which statement is true regarding the functions f(x) and g(x)?
A
The slopes of the two functions are the same.
B
The slopes of the two functions are opposites.
C
The y-intercepts of the two functions are the same.
D
The y-intercepts of the two functions are opposites.
Answer:
D
The y-intercepts of the two functions are opposites.
Step-by-step explanation:
f(x) = 3x-4 which has a slope of 3 and a y intercept of -4
g(x)
m = (5-4)/(3-0) = 1/3
g(x) = 1/3 x +4
g(x) has a slope of 1/3 and a y intercept of 4
. She lets numbers from 1 to __ represent defective batteries, and __ to __ represent working batteries. She generates this list: 120, 413, 472,564, 38, 266, 344, 476, 486, 177, 26, 331,358,131,352, 227, 31, 253, 31, 277
Answer:
Since 50 out of the 600 batteries are defective, She lets numbers from 1 to 50 represent defective batteries, and 51 to 600 represent working batteries
~OAmalOHopeO~
Giải các bất phương trình và biểu diễn tập nghiệm trên trục số
(X-1)(x+2)>(x-1)(x-1) +3
What is the factor of
[tex] {x}^{4} - x[/tex]
Plz
Butter kruse made 522 glaze donuts and 323 chocolate covered donuts. They put the donuts in boxes. Each box holds 12 donuts. How many boxes do they need?
Answer:
71 boxes
Step-by-step explanation:
1. Add 522 (# of glaze donuts) and 323(# of chocolate covered donuts).....845(# of total donuts)
2. Divide 845 by 12(the # of donuts each box could hold)....70.41666(repeating)
3. As you can't have a 0.41666 of a box, you round up 70.4166666 to 71.
71*12=852 70*12=840
Even though 71 boxes is more than enough to hold 845 donuts, there is simply no other choice, as there is no smaller box that holds less than 12 donuts.
For the given functions f and g , find the indicated composition. F(x) = -5x + 4, g(x) = 4x + 6 (g∘f)(x)
Answer:
(g∘f)(x) = -20x + 22
Step-by-step explanation:
(g∘f)(x) simply means g(f(x))
We are given;
f(x) = -5x + 4
g(x) = 4x + 6
Thus;
(g∘f)(x) = 4(-5x + 4) + 6
(g∘f)(x) = -20x + 16 + 6
(g∘f)(x) = -20x + 22
Which of the following numbers has exactly two significant digits? OA) 3.40 OB) 2.125 OC) 1.0475 OD) 0.00050
Answer:
Here, option (d) has significant digits. hence , option (d) ✓ is correct.Solve the simultaneous equation, will give out brainliest answer
a=bcd
a+b=cd
a+b+c=d
a+b+c+d=1
Answer:
a = 1/42, b = 1/7, c = 1/3 and d = 1/2
Step-by-step explanation:
a = bcd (1)
a + b = cd (2)
a + b + c = d (3)
a + b + c + d = 1 (4)
Substituting equation (3) into equation (4), we have
a + b + c = d (3)
a + b + c + d = 1 (4)
(a + b + c) + d = 1 (4)
d + d = 1 (5)
2d = 1
dividing through by 2, we have
d = 1/2
Taking equation (2) and equation (3), we have
a + b = cd (2)
a + b + c = d (3)
substituting equation (2) into equation (3), we have
a + b = cd (2)
(a + b) + c = d (3)
cd + c = d
Factorizing, we have
c(d + 1) = d
dividing through by d + 1, we have
c = d/(d + 1)
substituting d = 1/2 into the equation, we have
c = d/(d + 1)
c = 1/2 ÷ (1/2 + 1)
c = 1/2 ÷ 3/2
c = 1/2 × 2/3
c = 1/3
Taking equations (1) and (2), we have
a = bcd (1)
a + b = cd (2)
Substituting equation (1) into (2), we have
a = bcd (1)
a + b = cd (2)
bcd + b = cd (2)
Factorizing, we have
b(cd + 1) = cd
dividing through by (cd + 1), we have
b = cd/(cd + 1)
substituting the values of c and d into the equation,, we have
b = cd/(cd + 1)
b = 1/3 × 1/2/(1/3 × 1/2 + 1)
b = 1/6/(1/6 + 1)
b = 1/6 ÷ 7/6
b = 1/6 × 6/7
b = 1/7
Since a = bcd, substituting the values of b,c and d into the equation, we have
a = bcd
a = 1/7 × 1/3 × 1/2
a = 1/42
So, a = 1/42, b = 1/7, c = 1/3 and d = 1/2
y+1=3/4(x+3) in general form pls??
Answer:
Step-by-step explanation:
y+1 =(3/4)x+9/4
y=(3/4)x+1/4
Answer:
3x - 4y + 5 = 0
Step-by-step explanation:
The equation of a line in general form is
Ax + By + C = 0 ( A, B, and C are integers )
Given
y + 1 = [tex]\frac{3}{4}[/tex] (x + 3) ← multiply through by 4 to clear the fraction
4y + 4 = 3(x + 3)
4y + 4 = 3x + 9 ( subtract 4y + 4 from both sides )
0 = 3x - 4y + 5 , that is
3x - 4y + 5 = 0 ← in general form
Help me please, asap
Answer:
k = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
X| 1 2 5 10 30
Y| 3 6 15 30 90
Decide whether the graphs of the two equations are parallel. y=3x+8 and y/3-3=x
Answer:
Equation #1:
[tex]y = 3x + 8[/tex]
Equation #2:
[tex]\frac{y}{3} -3=x\\\\\frac{y}{3}=x+3\\\\y=3(x+3)\\\\y=3x+9[/tex]
Parallel equations have the same slope. Since both share the same slope of 3, they're parallel.
Ariana is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Ariana will earn $40 every time one of her songs is played in a commercial and she will earn $110 every time one of her songs is played in a movie. Ariana earned a total of $500 in royalties on 9 commercials and movies. Write a system of equations that could be used to determine the number of commercials and the number of movies on which Ariana's songs were played. Define the variables that you use to write the system.
Answer:
Commercials x = 7
Movies y = 2
Step-by-step explanation:
Let commercials = x
Let's movies = y
$40 is for commercials
$110 is for movies.
Commercials plus movies for the Year = 9
She earned total of $500
X+ y = 9..... equation 1
40x + 110y = 500.... Equation 2
Multipling equation one by 40
40x + 40y = 360
Subtracting equation one from equation 2
70y = 140
Y = 2
If y = 2
X + y = 9
X + 2 = 9
X = 9-2
X = 7
Translate the following phrase into an algebraic expression. use the variable n to represent the number. 4 less than triple a number
Work Shown:
n = a number, aka a placeholder for a number
3n = triple a number
3n-4 = four less than triple a number
So whatever n is, we multiply by 3 and then subtract off 4.
As an example, if n = 12, then 3n-4 = 3*12-4 = 36-4 = 32.
whats the area in square inches
Answer:
Area of triangle =1/2b×h
1/2×10×8.7
=44 square inches
Answer:
44
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
where b is the base and h is the height
A = 1/2 (10) (8.7)
A= 43.5
Rounding to the nearest whole number
A = 44
applications of rational numbers
Step-by-step explanation:
Rational numbers are real numbers which can be written in the form of p/q where p,q are integers and q ≠ 0. We use taxes in the form of fractions. When you share a pizza or anything. Interest rates on loans and mortgages.
Hope it helps you
Mark my answer as brainlist
have a nice day
How would you display a set of data graphically?
Answer:
with a graph or stem chart. there are various possibilities search it up!!
Step-by-step explanation:
A flag has a perimeter of 5 metres. The length of the flag is 600 mm more than the
width of the flag. The length is represented by L and the width is represented by W.
Which of the linear systems in the choices represents the description?
O2L + 2W = 5
L - 600 = W
O2L + 2W = 5000
L - 600 = W
OL+W = 5000
W + 600 = L
O L x W = 5000
L + 600 = W
Answer:
The first two.
Step-by-step explanation:
See that L is 600mm MORE than W.
From there, you can note that L = W+600
or rearrange the formula and get W= L-600
Then, see that the perimeter of a flag is 2L + 2W
(Because there are two four sides to a rectangle, 2 width, 2 length)
It must total to be 5 meters, or 5000mm
Thus,
2L + 2W = 5000
x^3 -2mx^2 +16
(x+2)
PLS ANSWER FAST
I WILL MARK YOU THE BRANLIEST
find the surface area of each figure. Round to the nearest tenth if necessary.
Area of Rectangular prism = 2(wl+hl+hw)
Height = 9ft
Width = 11ft
Length = 12ft
Area = 2(11(12) + 9(12) + 9(11))
Area = 678ft²
Must click thanks and mark brainliest
Answer:
678 ft^2.
Step-by-step explanation:
The surface area consists of 3 pairs of congruent rectangle.
= 2(9*12 + 11*12 + 9*11)
= 2 * 339
= 678.
Problem Solve for t.
2(t+1) = 10
t=4
explanation
2(t+1)=10
2t+2=10
2t=8
t=4
Find the sum of the infinite geometric series.
2- 2/3+ 2/9 -2/27+...
Answer:
3/2
Step-by-step explanation:
[tex]2-\frac{2}{3} +\frac{2}{9} -\frac{2}{27} +...\\r=\frac{-\frac{2}{3} }{2} =-\frac{1}{3} ,|r|<1\\s_{\infty}=\frac{a}{1-r} \\=\frac{2}{1+\frac{1}{3} } \\=\frac{2}{\frac{4}{3} }\\ =\frac{3}{2}[/tex]
Find the indicated side of the
right triangle.
45°
y
6
45°
Answer:
6
Step-by-step explanation:
tan 45 = 6 / x
1 = 6 / x
x = 6
Note :
Tan 45 value = 1
Answer:
x=6
Step-by-step explanation:
Since this is an isosceles triangle, the sides must be equal next to the base angles that are equal
x=6
