Answer:
y = 8; x = 6 [tex]\frac{7}{8}[/tex] ; n = 1 [tex]\frac{2}{23}[/tex] ; p = 55
Step-by-step explanation:
First proportion
// How to solve it
// firstly, multiply both sides by y, so that y would be in numerator
[tex]\frac{16}{16} * y[/tex] = [tex]\frac{8}{y} * y[/tex]
// now we get
[tex]\frac{16y}{16}[/tex] = 8
// secondly, divide both sides by [tex]\frac{16}{16}[/tex], so that we'd have y on one side and the expression on the other side
y = [tex]\frac{16}{16}*8[/tex]
// since [tex]\frac{16}{16}[/tex] = 1
y = 8
Second proportion
// divide both sides by 22, so that there'd be unknown variable x on one side and the expression on the other side
x = [tex]\frac{10*22}{(y*4)}[/tex]
Is this y from the first proportion?
If so, then x = [tex]\frac{10*22}{(8*4)}[/tex] = [tex]\frac{220}{32}[/tex] = [tex]\frac{55}{8}[/tex] = 6 [tex]\frac{7}{8}[/tex]
Third proportion
// divide both sides by 5
n = [tex]\frac{5}{23} * 5[/tex] = [tex]\frac{25}{23}[/tex] = 1 [tex]\frac{2}{23}[/tex]
Fourth proportion
// divide both sides by 10
p = [tex]\frac{22}{4} *10[/tex] = 55
Given f(x) = -5(x - 2) + 21, what is the value of f(8)?
Answer:
Step-by-step explanation:
f(8) = -5(8 - 2) + 21
= -30 + 21
= -9
Find the 40th term in the arithmetic sequence: 4,2,0,-2........
Answer:
-74
Step-by-step explanation:
The quadratic function f(x) has a vertex at (5,-5) and opens downward.
If g(x) = (x + 5)2 + 5, which statement is true?
A. The axis of symmetry of f(x) is x = 5, and the axis of symmetry of g(x) is x = -5.
B. The axis of symmetry of f(x) is x = -5, and the axis of symmetry of g(x) is x = -5.
C. The axis of symmetry of f(x) is x = 5, and the axis of symmetry of g(x) is x = 5.
D. The axis of symmetry of f(x) is x = -5, and the axis of symmetry of g(x) is x = 5.
Answer:
The correct answer is A.
Step-by-step explanation:
We're told that f(x) has its vertex at 5, -5 and opens downward. This tells us that it's axis of symmetry is x = 5.
The format of the function g(x) shows us that its axis of symmetry is x = -5. We're shown this because of the (x + 5)² component.
So the correct answer is A.
Using the properties of the quadratic function we can review the different answers, the correct one is
D. The axis of symmetry of f(x) is x = -5,
the axis of symmetry of g(x) is g(x) = 5.
The quadratic function is a quadratic polynomial that has a parabolic form and a general equation
g (x) = a x² + bx + c
where a, b, c are the coefficients, x is the independent variable and g the dependent
If the function has real roots it can be written in vertex form
g (x) = a (x-h) ² + k
where (h, k) are the coordinates of the vertex
The quadratic function has several properties:
The graph of this function opens up if the coefficient "a" is positive and down if it is negative, The axis of symmetry is parallel to the y axis, passing through the vertex of the function The vertex of the parabola corresponds to the maximum or minimum of the curveThe function can be written as a vertex value that cancels the binomial is where the symmetry axis passes
in this case, for the parabola to open downwards, the curve must be:
g (x) = - (x + 5) ² + 5
this is the expression in vertex form, let's find the value that cancels the binomial,
x + 5 = 0
x = -5
at this point where the axis of symmetry passes
The value of the function for this point is
x = -5
g (x0 = - (-5 + 5) ² + 5
g (x) = 5
Using the properties of the quadratic function we can review the different answers, the correct one is
D. The axis of symmetry of f(x) is x = -5, and the axis of symmetry of g(x) is
g(x) = 5
Learn more about quadratic function here:
https://brainly.com/question/21214550
Mike compared the y-intercept of the graph of the function
f(x) = 5x + 12 to the y-intercept of the graph of the ilnear function that
includes the points from the table below. What is the difference when the y-
intercept of f (x) is subtracted from the y-intercept of g (x)?
Х
1 3 5 6
g(x) 10 14 18 20
Answer:
-4Step-by-step explanation:
Given function
f(x) = 5x + 12From the table we get the function g(x), use pairs (1, 10) and (3, 14)
The slope:
m = (14 - 10)/(3 - 1) = 4/2 = 2The y-intercept:
10 = 2(1) + bb = 10 - 2b = 8The function g(x) is found as:
g(x) = 2x + 8The y- intercept of f (x) is subtracted from the y-intercept of g (x):
8 - 12 = -4Answer:
(the answer is • -4)
...
Offering Brainleast if you explain your answer
Answer:
1
Step-by-step explanation:
(2x - 5)
- The zoom feature on a camera lens allows you dilate what appears on the display. When you change from
100% to 700%, the new image on your screen is an enlargement of the previous image with a scale factor of
7. If the new image is 70 millimeters wide, what was the width of the previous image?
a. 245 millimeters
35 millimeters
b. 490 millimeters
d. 10 millimeters
c.
Answer:
d. 10 milimeters
Step-by-step explanation:
Answer:
10 milimeters
Step-by-step explanation:
100/700 = x/70
x = 10
Dont need awnser just explain
Answer:
i am just standing here
Step-by-step explanation:
Which of Polygons B, C, D, E, and F are similar to Polygon A?
Answer:there is no picture
Step-by-step explanation:
Answer:
theres no picture brainliest
Step-by-step explanation:
jayfeather friend me
The function g is defined by g(x)= 3x2 - 3.
Find g(3z).
3x+4=9x-8= ????????????
Question: c > 2.5; c = 3
Answer:
(1+x)
n
=
n
C
0
+
n
C
1
x+
n
C
2
x
2
+
n
C
3
x
3
+.....
n(1+x)
n−1
=
n
C
1
+2
n
C
2
x+3
n
C
3
x
2
+....
Put x=5
n(1+5)
n−1
=C
1
+2.5C
2
+3.5
2
C
3
+....
=n6
n−1
.
HELPPPP
Write a function that represents the balance after t years.
$2000 deposit that eams 5% annual interest compounded quarterly
Not sure if this is correct but:
Step-by-step explanation: P = 2000
R = 5% = 0.05
n = 4
y = 2000 ( 1 + [tex]\frac{0.05}{4}[/tex]) [tex]^{4t}[/tex] = 2000 ( 1.0125 )
Substitute values in the compound interest formula:
y = P ( 1 + [tex]\frac{r}{n}[/tex])[tex]^{nt}[/tex] .
Hope this helps..
can someone please help me with this fast
Answer: y intercept: -5/8
slope: -2x/5
Step-by-step explanation:
"If two polygons are similar, then their corresponding angles are equal in measure." True or false?
O True
O False
Answer:
true hope it helps thanks
Answer:
true
Step-by-step explanation:
if two polygons are congruent(equal) then their corresponding parts are equal
PLEASE HELP WILL MARK BRAINLIEST PLZ PLZ PLZ!!
Answer:
7. C 8. E 9. is x=12
Step-by-step explanation:
180 divided by3 equals 60
60-12 =48
48/4 =12
Each day,Faye earns $137 for driving a bus. How much will she earn if she works for 26 days?
Answer:
$3,562
Step-by-step explanation:
Assuming that Faye is paid $137 daily then she would earn $3,562.
$137x26= $ 3,562
i love u too. but u lied. i cant forgive u.
Answer:
..........................................
Answer:
understandable
Step-by-step explanation:
To solve for x in the equation x - 4 = 19, which inverse operation would you
apply? *
O add 4 to both sides
subtract 4 from both sides
add 19 to both sides
O subtract 19 from both sides
Cantos segundos tiene el año
The location of three fish relative to the water's surface are -10 feet -3 feet, and -12 feet. Which number has the least absolute value?
HELP ME ASAP PLEASE ?!?
Find the length of the missing side. Simplify all radicals.
Answer:
b = 9√5 (see below)
Step-by-step explanation:
Using the Pythagorean Theorem, you can find the missing side. The two sides connect to the right angle are the legs, and the sloping side across from the right angle is the hypotenuse.
We know that:
a² + b² = c²
—where a and b are legs and c is the hypotenuse.
Plug in the known values:
a² + b² = c²
18² + b² = 27²
324 + b² = 729
b² = 405
√b² = √405
b = √81 √5
b = 9√5
Answer:
20
Step-by-step explanation:
A^2+B^2=C^2
18^2+B^2= 27^2
324+B^2= 729
-324 -324
B^2 = 405
B= [tex]\sqrt{405)\\[/tex]
B=20
The graph of the line goes through the points (7.38, 2) and (11.07,3).
Answer:
BGHUYVGF
Step-by-step explanation:
TRUGT
help me with this problem please!!!! :)
Answer:
this should do it
12 + (-4) + 5j + -2j + 5
I NEED HELP WITH THIS AND IT NEEDS TO BE IN STEP BY STEP CAN SOME ONE HELP ME SOLVE THIS!!!!!!!!!!!!!
Answer:
12+(-4)+5j+(-2j)+5
=12-4+5j-2j+5
=8+3j+5
=13+3j
Which situation CANNOT be represented by this equation?
- 1x + 15 = 9
Explanation:
The term "rising" will indicate that we should use positive 1/3 instead of negative 1/3.
Choices A and C use "decreasing" which is why they involve -1/3. This is why we can rule out these two choices.
earth's equator has a diamter of 7926.4 miles. which equation can be used to find the circumference of earth at the equator?
Answer:
To find the circumference you need to use C= 2πr but since you started with the diameter you need to divide it by 2 and you will get 3963.2. After you get the radius use the formula C= 2πr and you will get 24901.52
The equation would be written as 2 x π x 3963.2 = 24901.52
In triangle GHJ, mH = 85° and mG = 60°.
Choose the correct symbol to put in the blank.
HJ ___ JG
<
=
>
Answer: The correct symbol is '<'.
Step-by-step explanation:
Given: In triangle GHJ
[tex]m\angle H=85^{\circ}[/tex] and [tex]m\angle G=60^{\circ}[/tex]
Here angle H is opposite to side JG and angle G is opposite to side HJ
We know that,
The side opposite to the greater angle of a triangle is greater.
Since [tex]m\angle H> m\angle G[/tex]
Then, JG > HJ
Hence, HJ < JG
Plzzz tell me someone kno how to do this!!
I'll mark brainliest
Answer:
21.6
Step-by-step explanation:
If x=14.4
And BC= 36
36-14.4= y
21.6= y= DC
i need help on this i have an important test due rn
Nick is buying one DVD player and some DVDs. At Electronics-R-Us, the DVD player is $60 and the DVDs are $12 each. At Movies-n-More, the DVD player is $80 and movies are $10 each. If the cost at the two stores is equal, how many DVDs did Nick purchase?