Answer:
f(x) = 6√7
Step-by-step explanation:
f{g(x)}=h(x)
f(7x+2)=6√7x+2
let y = 7x+2
x= (y-2)/7
f(x)= 6 √7(y-2)/7+2
Thus, f(x) =6√7
Steven is 42 inches tall. On average he grows at a rate of 5.5% each year. How tall will
Steven be in 3 years?
Answer:
about 49.3 inches
Step-by-step explanation:
[tex]42 \times {1.055}^{3} = 49.318[/tex]
What is 9C7 ?
A. 66
B. 55
C. 45
D. 36
Answer:
D. 36
Step-by-step explanation:
The formula for a combination :
ⁿCₓ = n! / (n - x)! x!Here we have ⁹C₇.
⁹C₇ = 9! / (9 - 7)! 7! = 9! / 2! x 7!9 x 8 x 7! / 2! x 7!9 x 8 / 236There are 36 different ways to arrange ⁹C₇. Therefore, the correct answer is option D.
Given that, ⁹C₇.
The number of combinations of n different things taken r at a time, denoted by nCr and it is given by, nCr=n!/r!(n−r)!,where 0 ≤ r ≤ n.
⁹C₇ = 9!/7!(9-7)!
= 9×8×7!/7!×2!
= 9×8/2×1
= 9×4
= 36
Therefore, the correct answer is option D.
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Define a rational number and show that no rational number x belongs to Q satisfies x² = 2
Answer:
A rational number is a number that can be expressed as a fraction of two integers.
if x²=2 then x=√2, but √2 is an irrational number (not rational), so there is no rational number x that satisfies x² = 2.
Step-by-step explanation:
help pleaseeee this harddd
Answer:
Step-by-step explanation:
Step-by-step explanation:
#1 1.6
#2 1:2
#3 $160.00
#4 1,800
#5 $360
#6 2
#7 250
I hope I helped you
I'm sorry for late
Write an equation of the line that passes through (1,2) and is parallel to the line y=-5x+4
The equation of the line that passes through (1,2) and is parallel to the line y=-5x+4, is y=-5x+7.
What is the equation of line?The equation of the line is the way of representation of a line in the equation form.
The equation of the lines represents the line by the set of points on which the line lies or passes through in the coordinate system.
[tex]y=mx+c[/tex]
Here, (m) is the slope of the line and (c) is the y intercept.
This line is parallel to the line which has to be find out is,
[tex]y=-5x+4[/tex]
As the parallel lines have same slope. Thus, the line which is required to find has a slope of -5.
Compare with standard equation of line, we get the slope of the line,
[tex]m=-5[/tex]
Thus, the equation of line become,
[tex]y=-5x+c[/tex]
The line passes through (1,2). Put these values in the above equation as,
[tex]2=-5(1)+c\\2=-5+c\\c=2+5\\c=7[/tex]
Thus, the equation become,
[tex]y=-5x+7[/tex]
Hence, the equation of the line that passes through (1,2) and is parallel to the line y=-5x+4, is y=-5x+7.
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Find the solution of the system of equations. x-3y= -13
2x+15y=16
Answer: [tex]x=-7, y=2[/tex]
Step-by-step explanation:
Multiplying the first equation by 2 gives [tex]2x-6y=-26[/tex]
Subtracting this from the second equation yields [tex]21y=42 \longrightarrow y=2[/tex]
Substituting this back into the first equation gives that [tex]x=-7[/tex]
[tex]\therefore x=-7, y=2[/tex]
un classeur contient des feuilles de couleurs différents les deux tiers des feuilles sont blanches le un sixieme des feuilles sont bleues et 12 feuilles restantes sont jaunes determiner le nombre des feuilles dans le classeur
Answer:
Step-by-step explanation:
bonjour :
soit x le nombre des feuilles dans le classeur
les deux tiers des feuilles sont blanches veut dire : (2/ 3)x
un sixieme des feuilles sont bleues veut dire : (1/6)x
on compose cette équation : (2/ 3)x + (1/6)x +12 = x
rsolvont cette équation : multiplions les deux membres par : 6
4x+x+72 =6x
4x-6x+x+72=6x-6x
-x+72=0
x=72
verification :(2/3)(72)+(1/6)(72)+12=144/3 +72/6 +12 =48+12+12=72
At Gumdrops Galore candy store, Gina and her sister each fill a bag with gumdrops. Gina's bag of black gumdrops weighs 1 4 of a pound. Gina pays for both her gumdrops and her sister's red gumdrops. In all, Gina buys 3 8 of a pound of gumdrops. She wants to know how much her sister's red gumdrops weigh. Use an equation to find the weight of her sister's red gumdrops.
Answer:
1/8 of a pound
Step-by-step explanation:
Gina's bag of gumdrops : 1/4 of a pound
Gina's + sister's bag of gumdrops : 3/8 of a pound
To find how much her sister's gumdrops weighed, you will have to subtract fractions.
Equation : 3/8 - 1/4 or 3/8 - 2/8
To subtract, you need to make sure the denominators are the same.
1 × 2
------- = 2/8
4 × 2
Now, you can subtract. Subtract the numerators.
3/8 - 2/8 = 1/8
So, Gina's sister's red gumdrops weigh 1/8 of a pound.
Hope this helped !
Gina's sister's red gumdrops weigh 1/8 of a pound.
How to determine the weight of Gina's sister's red gumdropsLet's use an equation to find the weight of Gina's sister's red gumdrops.
Let x be the weight of Gina's sister's red gumdrops in pounds.
According to the information given:
Gina's bag of black gumdrops weighs 1/4 pound.
Gina pays for both her gumdrops and her sister's red gumdrops, totaling 3/8 pound of gumdrops.
Weight of Gina's gumdrops (black gumdrops) + Weight of sister's gumdrops (red gumdrops) = Total weight of gumdrops purchased
1/4 + x = 3/8
Solve for x
x = 3/8 - 1/4
To subtract fractions, we need a common denominator, which is 8:
x = (3/8) - (2/8)
x = 1/8
Therefore, Gina's sister's red gumdrops weigh 1/8 of a pound.
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Use the graph of the rational function to complete the following statement.
Using the graph of the function, it is found that the lateral limits of the function are as follows:
As [tex]x \rightarrow 1^{+}[/tex], [tex]f(x) \rightarrow -\infty[/tex].As [tex]x \rightarrow 1^{-}[/tex], [tex]f(x) \rightarrow \infty[/tex].What are the lateral limits of the function at x = 1?For [tex]x \rightarrow 1^{+}[/tex], we look at the values slightly greater than 1, that is, to the right of x = 1, for which the function goes to negative infinity, hence [tex]f(x) \rightarrow -\infty[/tex].
For [tex]x \rightarrow 1^{-}[/tex], we look at the values slightly less than 1, that is, to the left of x = 1, for which the function goes to infinity, hence [tex]f(x) \rightarrow \infty[/tex].
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a picture on the walls jeremy's classroom has 4 right angles,4 sides of equal length,and 2 pairs of opposite sides that are parallel. what quadrilateral best describes the picture
Answer:
square
Step-by-step explanation:
A quadrilateral with four right angles will be a rectangle. A rectangle with sides of equal length is a square.
Jeremy's picture is a square.
Find the circumference of a circle whose area is equal to 64π^2
Answer:
14 6/7 is the circumference
Step-by-step explanation:
you first of all look for the radius using the formulae multiply both sides by the reciprocal of 22/7
7/22 ×22/7r=64×7/22=224/11{2 4/11)
2 4/11 is the radius
cir =2×22/7×2 4/11
2×22/7× 26/11=104/7
==== =14 6/7
all i can do but am not sure sorry
A rectangle is 7 times longer than it is wide. It its perimeter is 144cm, what is it area?
Answer:
9
Step-by-step explanation:
→ Write an expression for the rectangles width
x
→ Write an expression for the rectangles length
7x
→ Now write an equation for the perimeter
x + 7x + x + 7x = 144
→ Simplify
16x = 144
→ Solve
x = 9
Rewrite the expression ^3 square root of x^8 using rational exponents.
Answer:
X^8/3
Step-by-step explanation:
When transforming radical expressions to rational exponents, the radicand (8) becomes the numerator of the rational exponent. And the index, or root (3) of the radical becomes the denominator of the rational exponent.
What’s the answer????
Answer:
the last one I think. number 4
Answer: The last one
Step-by-step explanation:
It's not required by law
You have to pay $2000 on your own
It can definitely be over $500
It's a yearly amount
x + y = 2
y - z = 2
x + y - z = 3
.
OA (1,1,-1)
OB. (-1,1,1)
oc. (-1,-1,1)
OD. (-1,1,-1)
Answer:
it would be B because of the lang it and work
the point inside a circle that is the same distance from all the points on the circle
Answer:
the center
Step-by-step explanation:
The only point in the circle that is equidistant from the border is the center, and the lines that connect the center to the points on the circle is called the radius. All radii in a circle are congruent.
The numbers represented by points w, x and y on the number line are integers.
Under which of the following conditions could the expression, x > 2, be true? Select all that apply.
Answer:
Option A) when y=6 and w= 2, Option B) when y=4 and w=-1 are the TWO correct choices.
Step-by-step explanation:
Step-by-step explanation:
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Geometry N.6 Properties of parallelograms LLK If AB = 2v - 3 and AD = 6v - 55, find the value of v in parallelogram BCDE. E B А D с V
Answer:
v = 13
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, so AB ≅ AD. This relation gives rise to an equation we can solve for v.
2v -3 = 6v -55
52 = 4v . . . . . . . . . add 55-2v to both sides
13 = v . . . . . . . divide by 4
The value of v is 13 in this parallelogram.
The box-and-wishker plots bellow
Answer:
H: Plots 1 & 2
Step-by-step explanation:
angle 1- what degree
Answer:
22 degrees
Step-by-step explanation:
The two bottom sides have the same angle which is 79 and all the angles must add up to 180, so 79 plus 79 is 158 and 180 minus 158 is 22.
Hope this helps.
BTW it's my birthday
Answer:
25°
Step-by-step explanation:
Exterior angle property of triangle:
Exterior angle of a triangle equals the sum of oppositer interior angles.
∠1 + 79 = 104
Subtract 79 from both sides
∠1 = 104 - 79
∠1 = 25°
PLEASE HELP ME WILL FOLLOW AND GIVE BRAINLIST!!! ASAP
Answer:
1/10 of the members
Step-by-step explanation:
first, see how much is between [tex]2\frac{1}{4}[/tex] and [tex]3[/tex]. you can only see one. then count the number of x's, that's the number of members, and your denominator.
Find the distance between the two points.
(-3,2)
(0,0)
✓ [?]
Enter the number that
goes beneath the
radical symbol.
Answer:
√13
Step-by-step explanation:
Plug into Distance formula --> √(0-(-3))^2 + (0-2)^2
---> √13
x+y+z=-6
x-y+3z=-18
2x+2y+2z=-8
Answer:
Step-by-step explanation:
hello :
the system is : x+y+z=-6.....(1)
x-y+3z=-18.....(2)
2x+2y+2z=-8.....(3)
use (3): 2(x+y+z) = - 8 so : x+y+z = -4
use (1) : x+y +z = -6 -6=-4 false
no solutions
I NEED HELP LOOK AT THE PICTURE PLEASE
anyone help pls??
Find the perimeter and the area of the regular polygon with the given apothem a and side length s.
Step-by-step explanation:
apothem : distance from the center of the object to the side(s).
area : 1/2 × perimeter × apothem
perimeter : 9 x side
perimeter = 9×15 in = 135 in
area = 1/2 × 135 × 20.6 = 1,390.5 in²
The perimeter and area of a nonagon with apothem of 20.6 inches and side of 15 inches are 135 inches and 1390.5 inches² respectively.
What is a nonagon?A nonagon is a polygon with 9 sides. The perimeter and area can be found as follows;
Perimeter = length of the whole sides
side length = 15 inches
P = 9 × 15
p = 135 inches
Area of a nonagon = 1 / 2 pa
where
a = apothemp = perimeterTherefore,
apothem = a = 20.6 inches
area of the nonagon = 1 / 2 × 135 × 20.6
area of the nonagon = 2781 / 2
area of the nonagon = 1390.5 inches²
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Help Me On This!!
I already know the answer but i need a short explanation.
Answer:
option BExplanation:
With every increase in side, there is an increase in dots
1 side = 1 dot2 side = 2 dot3 side = 3 dot4 side = 4 dot=============
Option B has 4 sides and 4 dots.
Suppose the sales tax in your town is 4%. What are the interpretations of this ratio?
Select all that apply.
DA. You will pay $40 in sales tax for every $1,000 purchase.
B. You will pay $4 in sales tax for every $10 purchase.
c. You will pay 40 cents in sales tax for every $1 purchase.
D. You will pay $4 in sales tax for every $1,000 purchase.
E. You will pay 4 cents in sales tax for every $1 purchase.
F. You will pay $40 in sales tax for every $100 purchase.
G. You will pay 4 cents in sales tax for every $10 purchase.
H. You will pay 40 cents in sales tax for every $10 purchase.
Answer:
A) {DA???} 0.04x1000=40. Yes
B) 0.4x10 is 4, NOT 0.04. No
C)0.4x1 is 0.4, NOT 0.04. No
D) No
E) Yes
F) No
G) Yes
H) No
if you will solve this math 50 point + brainlists=
5+6+6+83+15×53____84
Answer:
5+6+6+83+15×53=895
I hope it helps ty if yes pls make me brainliest take care
6 + 6 = 12
5+15 = 20
53x83= 4399
4399+32=4431
4431- 84 =4,347
please make me brainalist and keep smiling dude I hope you will be satisfied with my answer is updated
and you have asked me to help please tell me
16. A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain. (2 points)
Answer:
yes
Step-by-step explanation:
A right triangle means that
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {6}^{2} + {8}^{2} = {10}^{2} [/tex]
, which means that it follows the rules of the formula, making it a right triangle.
If this answer helped you I would appreciate it if you gave me brainliest :D
giving out 93 points for this question!!! need this ASAP!!
Answer: D
Step-by-step explanation:
The function is continuous. There are no discontinuities, or sharp bends in the curve where the slope is undefined. It extends to negative infinity and goes on to positive infinity. A matter of fact, it looks like a graph of x^2 shifted by a few coordinates. The function therefore is constantly increasing from negative infinity to positive infinity. The function never decreases
