If g is a vertical translation of f, the number of units and in the direction f translated to form g is, 7 units and downward direction
What are functions?Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).
Vertical line test:-
Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.
If we get more images then it will not be a function.
For example, let us take, y² = 4ax
y = ±√4ax
For single value of x we get two values of y
Hence, it will not be a function.
Given that,
Two functions,
f(x) = x + 4
g(x) = x – 3
the difference in values of function f(x) & g(x)
f(x) - g(x) = x + 4 - ( x – 3 )
= x + 4 - x +3
= 7
So, if we subtract 7 from the function f(x)
⇒ f(x) - 7
⇒ x + 4 - 7
⇒ x - 3
So, vertical translation required is value 7 and in downward direction
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Solve simultaneously please
Answer:
x = 1; y = 5/4
Step-by-step explanation:
7/x - 5/y = 3
2/x + 25/(2y) = 12
The LCD of first equation is xy. Multiply both sides of the first equation by xy.
xy(7/x) - xy(5/y) = 3xy
7y - 5x = 3xy
The LCD of second equation is 2xy. Multiply both sides of the second equation by 2xy.
2xy(2/x) + 2xy(25/2y) = 24xy
4y + 25x = 24xy
7y - 5x = 3xy
4y + 25x = 24xy
Multiply the top equation by -8 and add to bottom equation.
-56y + 40x = -24xy
(+) 4y + 25x = 24xy
---------------------------------
-52y + 65x = 0
65x = 52y
x = 52y/65
7y - 5x = 3xy
7y - 5(52y/65) = 3(52y/65)y
455y - 260y = 156y²
156y² - 195y = 0
4y² - 5y = 0
y(4y - 5) = 0
y = 0 or 4y = 5
y = 0 or y = 5/4
7/x - 5/y = 3
y cannot equal zero.
7/x - 5/y = 3
7/x - 5/(5/4) = 3
7/x - 4 = 3
7/x = 7
x = 1
Solution: x = 1; y = 5/4
Sonia sells stuffed animals, She sells a stuffed dog for $25.10, and the sales tax is 4% of the sale price. About
how much is the sales tax on the dog?
A. $0.10
B. $1.80
C. $2.25
D. $1.00
Answer:
$1.004 so rounded it would be Answer D ($1.00)
Step-by-step explanation:
You multiply $25.10 by the decimal form of 4 percent, which gives you the tax.
25.10(.04)=1.004
1.004 is the tax, but with the way currency work, cents do not go to the thousandths place , so you round it to $1.00.
Incase you woudl also like to know, if you add that 1 dollar to the original price you get teh total price. which woudl be $26.10.
Solve for x in the diagram below.
Answer:
x = 12
Step-by-step explanation:
(6x-2) + 20 = 90
6x-2 = 70
6x = 72
72 / 6 = 12
x = 12
2 2/3 x 3 3/8=?
Please help me
Answer:
Step-by-step explanation:
2 2/3 = 8/3
3 3/8 = 27/8
8/3 * 27/8 = 216/24
= 9
There are 30 students in Mrs. Bristow‘s class. 20% of the students receive a gold ticket on the last quiz. How many students receive a golden ticket?
Answer:
6
Step-by-step explanation:
20% of 30 is 6. You can figure this out because 100 divided by 20 is 5, so you do 30 divided by 5, which is 6
Use the point-slope formula to write an equation of the line that passes through (-4, 4) and has a slope of m=0. Write the answer in slope-intercept form (if
possible)
Answer:
y = 4
Step-by-step explanation:
When given a point and a slope, we use slope-intercept formula:
y - y1 = m (x - x1)
m = slope point: (-4,4)
y - y1 = m (x - x1)
y - 4 = 0 (x - 1)
y - 4 = 0x + 0
+ 4 + 4
y = 4
The answer can't be written in slope-intercept form, as the 0"s cancel out.
Hope this helps!
Factor out a -5 of 2x-5
Answer:
2
a
x
−
5
a
−
10
x
+
25
Step-by-step explanation:
Find the volume of a prism whose area of base is 15 cm2 and hight is 10 cm
Answer:
Step-by-step explanation:
V = Bh
V = 15(10)
V = 150 cm3
Group like term’s please hurry.
Answer:
Step-by-step [tex]5x-4x =x \\4x^{2} -x^{2}=3x^{2} \\-24+11=-13\\3x^{2} +x-13[/tex]
Answer:
x^5 + 151x -264
Step-by-step explanation:
See the attached page.
what are the values of x and y in the figure shown? show your work
Answer:
x = 5 , y = 2
Step-by-step explanation:
3y + 4y + 2x = 24
(3y)² + (4y)² = (2x)²
2x + 7y = 24 .............. (1)
25y² = 4x² ................ (2)
x = [tex]\frac{5}{2}[/tex] y ------> (1)
2 ( [tex]\frac{5}{2}[/tex] y ) + 7y = 24
12y = 24
y = 2 ----------> (1)
x = 5
Write the expression using exponents 5.2 • y • y • y =
Answer:
5.2y^3
Step-by-step explanation:
There are 3 y's which can be presented as y^3
5.2 times y^3 = 5.2y^3
( By the way, " ^ " is a square root sign )
Solve equation by using the quadratic formula.
9 x squared + 7 x = 0
a.
x = StartFraction 7 Over 9 EndFraction, 0
c.
x = 0
b.
x = negative StartFraction 7 Over 9 EndFraction, 0
d.
x = plus-or-minus StartFraction 7 Over 9 EndFraction
Answer: 1: x=3, x=1
2: x= -5
3: There are 2 real solutions.
4: There are 2 real solutions.
5: There are no real solutions.
6. There is 1 real solution.
7.
8. x= -6, x = -2
9. x = -1/6, x=1
10.
Explanation:
1. The quadratic formula is
Substituting our known information we have:
2. Rewriting the quadratic in standard form we have x²+10x-25=0. Substituting this into the quadratic formula gives us:
3. The discriminant is b²-4ac. For this problem, that is 20²-4(-4)(25)=400--400=800. Since this is greater than 0, there are 2 real solutions.
4. The discriminant in this problem is 7²-4(2)(-15)=49--120=49+120=169. This is greater than 0, so there are 2 real solutions.
5. The discriminant in this problem is 1²-4(-2)(-28)=1-224=-223. Since this is less than 0, there are no real solutions.
6. If the discriminant of a quadratic is 0, then by definition there is 1 real solution.
7. Rewriting the quadratic we have 3x²-4x-2=0. Using the quadratic formula we have:
8. Factoring this trinomial we want factors of 12 that sum to 8. 6*2 = 12 and 6+2=8, so those are our factors. This gives us:
(x+6)(x+2)=0
Using the zero product property we know that either x+6=0 or x+2=0. Solving these equations we get x= -6 or x= -2.
9. Factoring this trinomial we want factors of 6(-1)=-6 that sum to -5. (-6)(1)=-6 and -6+1=-5, so this is how we "split up" the x term:
6x²-6x+1x-1=0
We group together the first two and the last two terms:
(6x²-6x)+(1x-1)=0
Factor the GCF out of each group. In the first group, that is 6x:
6x(x-1)+(1x-1)=0
In the second group, the GCF is 1:
6x(x-1)+1(x-1)=0
Both terms have a factor of (x-1), so we can factor it out:
(x-1)(6x+1)=0
Using the zero product property, we know either x-1=0 or 6x+1=0. Solving these equations we get x=1 or x=-1/6.
10. Substituting our information into the quadratic formula we get:
Step-by-step explanation:
45. You deposit $6000 into an account that earns 3.8% interest compounded annually.
Find the balance of the account after 7 years.
Answer: 7596
Step-by-step explanation:
3.8%x7=26.6%
6000x26.6%=1596
6000+1596=7596
One equation in a system of equations with no solution is y=-20 +5.
Which equation could be the second equation in the system?
Answer:
the answerr is i9 dont know haha bum
Step-by-step explanation:
hahay
Answer:
B. 2x + y = 8
Step-by-step explanation:
y = -2x + 5 matches with 2x + y = 8, as they have same slope of "-2".
There you go, it is the second equation with y = -2x + 5.
the definite integral is how obtain and the symbol of integral
Answer:
Symbol for definite integralThe ∫ symbol is called an integral sign; it's an elongated letter S, standing for sum. (The ∫ is actually the Σ from the Riemann sum, written in Roman letters instead of Greek letters.) The dx on the end must be included; you can think of∫ and dx as left and right parentheses.
Please, help me. Thanks.
Subject: Hypothesis testing and margin of errors
Answer:
See below
Step-by-step explanation:
Problem 4
[tex]H_0:\mu=145\\H_a:\mu>145[/tex]
The null hypothesis, [tex]H_0[/tex], comes from the fact that the nurse initially thinks that the average height of 7th graders is equal to 145 cm.
The alternative hypothesis, [tex]H_a[/tex], comes from the fact that the average height may be greater than 145 cm since the nurse measured the average height to be 147 cm from the random sample.
Problem 5
[tex]H_0:\mu\geq273\\H_a:\mu<273[/tex]
The null hypothesis, [tex]H_0[/tex], comes from the fact that the manufacturer initially thinks that the mean lifetime of a certain type of batteries is at least 273 hours.
The alternate hypothesis, [tex]H_a[/tex], comes from the fact that the sample taken may show that it's actually less given a sample mean of 270.5 hours.
Problem 6
The mass population data set would be most suitable because the average score of a test comes from all those who have taken the test while the sample is the class with 25 students. That sample represents the population of all those that have taken the test.
Problem 7
Because it would take a lot of time and money to check every single child in Africa, it would make the most sense to use the sample data set where your samples come from each village and those samples have the children from each village.
Problem 8
This is a population characteristic because the sample that Sarah took for the average number of children per family represents the entire population.
Problem 9
This is a sample characteristic because the size of the sample was clearly large, this was a study, and other claims made.
During a clothing store’s Bargain Days, the regular price for T-shirts is discounted by $4. There is a state sales tax of 3.5%, and the $4 discount is applied before the sales tax is calculated.
A. Write an expression that shows the regular price r of a T-shirt minus the $4 discount.
B. Write a rule for the function p(r) that expresses the final price p of a T-shirt with the discount applied and sales tax added.
C. How much would you pay during Bargain Days for a shirt regularly priced at $15.50?
I will mark the first correct answer Brainliest!
Answer:
$4.00+0.035+$4.00=8.035=$8.35
Step-by-step explanation:
I do not understand this can y’all help me
n=3
Step-by-step explanation:
24=3n-15
9=3n
3=n
Answer:
n = 13
Step-by-step explanation:
24 = 3(n - 5)
divide each side by 3
8 = n - 5
add 5 to each side
13 = n
check your work
24 = 3(13 - 5)
24 = 3(8)
24 = 24
Find the missing dimension of the triangle. Area is 5cm squared and the base is 4cm. what is the height.
Answer:
2.5 cm
Step-by-step explanation:
Put the given values into the area formula, and solve for height.
A = 1/2bh
5 cm² = 1/2(4 cm)h . . . . . . . . . . . . . fill in the values
(5 cm²)/(2 cm) = h = 2.5 cm . . . . . divide by the coefficient of h
The height is 2.5 cm.
HELPPPPPPPPPP!!!!!!!
60 POINTS PLEASEEEEEEEEEEE
Answer:
It is B. (0,1)
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
a
find the triangular number in the nth position if n is. a)22 (b)11 (c)31 (d)40
Answer:
Shown below.Explanation:
use the formula: n(n+1)/2
where n is the number of nth position
(a)
n(n+1)/2
22(22+1)/2
253
(b)
11(11+1)/2
66
(c)
n(n+1)/2
31(31+1)/2
496
(d)
n(n+1)/2
40(40+1)/2
820
Answer:
a) 253
b) 66
c) 496
d) 820
Step-by-step explanation:
Triangular numbers : pattern of numbers that form equilateral triangles. Each subsequent number in the sequence adds a new row of dots to the triangle.
nth triangular number formula: [tex]T_n=\dfrac{n(n+1)}{2}[/tex]
a) if n = 22
[tex]T_{22}=\dfrac{22(22+1)}{2}=253[/tex]
b) if n = 11
[tex]T_{11}=\dfrac{11(11+1)}{2}=66[/tex]
c) if n = 31
[tex]T_{31}=\dfrac{31(31+1)}{2}=496[/tex]
d) if n = 40
[tex]T_{40}=\dfrac{40(40+1)}{2}=820[/tex]
Guys help I literally don’t know how to do this
Answer:
Ok, so to find the volume of a sphere, the volume is 4/3 (3.14 which is pie) times the radius cubed so r^3
so the radius of this sphere is 2 because 4-2=2
Step-by-step explanation:
so now we do 4/3 times 3.14 times 2^3 power=
now first we multiply 4/3 times 2 to the 3rd power bc we dont need to multiply pie (3.14) your answer would be 10.66667 so its 10.66667 pie (3.14) so round 10.66667 it would just be 10.7 because the 7 round up the 6 to a 7. Hope this helps!
9. Rewrite in order from least to greatest. 13%, 16/100 01/5, 0.15, 1/10
Answer:
1/10, 13%, 0.15, 16/100, 1/5
Step-by-step explanation:
Given the following question:
13%, 16/100, 1/5, 0.15, and 1/10
In order to find the answer to this question we can rewrite all the following fractions/percent into decimals and then compare.
[tex]\frac{16}{100} =16\div100=0.16[/tex]
[tex]\frac{1}{5} =1\div5=0.2[/tex]
[tex]\frac{1}{10} =1\div10=0.1[/tex]
[tex]13=0.13[/tex]
0.13, 0.16, 0.15, 0.2, and 0.1
0.1, 0.13, 0.15, 0.16, 0.2
1/10, 13%, 0.15, 16/100, 1/5
Hope this helps.
Select the sequences that are geometric. 18, 36, 54, 72, … 4. 1, 8. 2, 16. 4, 32. 8, … –7, 14, –28, 56, … 980, 784, 627. 2, 501. 76, … 5, 2, –1, –4, ….
Answer:
18, 36, 54, 72
Step-by-step explanation:
As that sequence is common in the table of 18.
A.T.Q
18 x 1 = 18
18 x 2 = 36
18 x 3 = 54
18 x 4 = 72
Correct me, if I am wrong :)
Have a great day!
Thanks!
WILL MARK BRAINLIST
Find 24% of 450.
Answer:
108
Step-by-step explanation:
450*0.24
If anyone can answer all these thanks
1. 4x+3=23
2. 24x - 18=30
3.160+10n=220
4.51=30+3n
5.6y+85=157
1) x = 5
2) x = 2
3) n = 6
4) n = 7
5) y = 12
Step-by-step explanation:-1)[tex]4x+3=23[/tex]
→[tex]4x = 23 - 3[/tex]
→[tex]4x = 20[/tex]
→[tex]x = \frac{20}{4} [/tex]
→[tex]x = 5[/tex]
Hence, value of x is 5
2)[tex]24x - 18=30[/tex]
=>[tex]24x = 30 + 18[/tex]
=>[tex]24x = 48[/tex]
=>[tex]x = \frac{48}{24} [/tex]
=>[tex]x = 2[/tex]
Hence, value of x is 2
3)[tex]160+10n=220[/tex]
[tex]→10n = 220 - 160[/tex]
[tex]→10n =60[/tex]
[tex]→n = \frac{60}{10} [/tex]
[tex]→n = 6[/tex]
Hence, value of n is 6
4)[tex]51=30+3n[/tex]
[tex]→51 - 30 = 3n[/tex]
[tex]→21 = 3n[/tex]
[tex]→\frac{21}{3} = n[/tex]
[tex]→n = 7[/tex]
Hence, the value of n is 7
5)[tex]6y + 85=157[/tex]
[tex]→6y = 157 - 85[/tex]
[tex]→6y = 72[/tex]
[tex]→y = \frac{72}{6} [/tex]
[tex]→y = 12[/tex]
Hence, value of y is 12
You started the trail with 550lbs. of food.
You now have 232lbs. of food.
What percentage of your starting
amount do you have left?
Answer:
42%
Step-by-step explanation:
232 divided by 550= 0.42
0.42=42%
Identify the initial amount a and the growth factor b in the exponential function.
g(x)=14 x 2^x
a=14, b=x
a=14, b=2
a=28, b=1
a=28, b=x
Answer:
a = 14, b = 2
Step-by-step explanation:
the initial amount was 14
the growth factor is 2
Please Help quick This is Algebra Thank you!