Answer:
Approximately 3.8 seconds
Step-by-step explanation:
H(x)=-16x^2+60x+4
We want to find when the ball hits the ground, or where the zeros are
0 =-16x^2+60x+4
Using the quadratic formula
-b ±sqrt(b^2 -4ac)
---------------------------
2a
-60 ±sqrt(60^2 -4*-16*4)
---------------------------
2(-16)
-60 ±sqrt(3600+256)
---------------------------
-32
-60 ±sqrt(3856)
---------------------------
-32
We want the positive value for time
-60-62.09669879
---------------------------
-32
3.815521837
Approximately 3.8 seconds
Please HELP!! will mark brainiest
Which correlation coefficient could represent the relationship in the scatterplot? A) 0.34 B) -.098 C) -1.43 D) 0.99
Answer:
B) -0.98
Step-by-step explanation:
Correlation coefficient is usually denoted with numbers ranging from 1 to -1. Automatically, this eliminates option C) as our possible answer, since -1.43 is outside the range.
The trend shown in the scatter plot describes a negative relationship because, as the values in the Y-axis decreases, the values at the X-axis increases. The possible correlation coefficient we are likely to get is one that is negative. This eliminates option A and option and option D is our possible correlation coefficient for the scatter plot given since both values are positive.
Option B) -0.98, best represents the correlation coefficient of the given scatter plot. Since the points on the scatter plot seem closely aligned on a straight line, a negative value if -0.98 is mostly the possible one to get.
Answer:
-0.98
Step-by-step explanation:
lindsey completed a 30 point assignment. she eared 21 points what percent did she earn?
Answer:
Lindsey got 70% on this assignment.
Step-by-step explanation:
21 divided by 30 equals 0.7 which is 70% in percent form.
Answer:
She earned a seventy percent.
Step-by-step explanation:
You set the problem up like 21/30 = x/100.
Then, you cross multiply and you get 30x=2100.
From there, you divide each side by thirty and then you get x = 70.
And that brings you to 70 percent. Hope this helps!
what is the y-intercept, maximum point and the x intercepts of f(x)= -x^2÷1 +4
Answer:
maximum point: (0, 4)
x-intercepts: (2, 0), (-2, 0)
y-intercepts: (0, 4)
Find the slope of the line that passes through the pair of points (10/17,2/17) and (9/17,13/18) a.-18/185 b. -185/18
Answer:
b) -185/18
Slope of the line [tex]m = \frac{-185}{18}[/tex]
Step-by-step explanation:
Explanation:-
Given two co-ordinates are
[tex](\frac{10}{17} , \frac{2}{17} ),(\frac{9}{17} , \frac{13}{18} )[/tex]
Slope of the line
[tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
[tex]m = \frac{13/18 - 2/17 }{9/17 - 10/17 }[/tex]
[tex]m = \frac{\frac{221-36}{18 X 17} }{\frac{-1}{17} }[/tex]
On simplification, we get
[tex]m = \frac{-185}{18}[/tex]
If h(x) = x-7 and g(x) = x2, which expression is equivalent to (gº h)(5)?
Answer: [tex]g(5) *h(5) = (5-7)(5^2)= (25)(-2) = -50[/tex] Im assuming that g(x) is x^2, since you were incapable of writing the exponent sign
Step-by-step explanation:
[tex](g*h)(x)=g(x)*h(x)[/tex]
So this means the functions should be multipled and both evaluated at x = 5
The value of the composition of functions ( g o f ) ( 5 ) = 4
What is Composition of functions?Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.
Given data ,
Let the first function be represented as h ( x )
Now , the value of h ( x ) is
h ( x ) = x - 7
Let the second function be represented as g ( x )
Now , the value of g ( x ) is
g ( x ) = x²
Now , the composition of function ( g o f ) ( 5 ) is given by
The value of f ( 5 ) = 5 - 7 = -2
Now , the value of g ( -2 ) is
g ( -2 ) = ( -2 )²
g ( -2 ) = 4
Hence , the composition of function is solved and the value is given by A = ( g o f ) ( 5 ) = 4
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The perimeter of the scalene triangle is 54.6 cm.
A scalene triangle where all sides are different lengths. The base of the triangle, labeled 3 a, is three times that of the shortest side, a. The other side is labeled b.
Which equation can be used to find the value of b if side a measures 8.7 cm?
8.7 plus b equals 54.6
17.4 plus b equals 54.6
26.1 plus b equals 54.6
34.8 plus b equals 54.6
Answer:
8.7 plus b equals 54.6
Step-by-step explanation:
4(8.7) + b = 54.6.
b = 19.8 cm.
The sum of the sides = the perimeter = 3a + a + b = 54.6.
Now a = 8.7, so:
3(8.7) + 8.7 + b = 54.6
4(8.7) + b = 54.6.
b = 54.6 - 4(8.7)
b = 19.8.
Answer: D.) 34.8 + b = 54.6
Step-by-step explanation: i hope this helps :)
(QUICK RESPONSE!!!) Which graph shows the solution set for 2 x + 3 greater-than negative 9?
Answer:
It's the last answer choice
Step-by-step explanation:
2x+3> -9
2x+3-3> -9-3
2x> -12
2x/2> -12/2
x> -6
Answer:
d
Step-by-step explanation:
Find the measurement of y
A-129°
B-130°
C-145°
D-134°
Answer: C
Step-by-step explanation: Since the angle measures of a heptagon measure up to 900, add all known angle measures. they equal to 755. 900 - 755 is 145.
rewrite the expression with a rational exponent as a radical expression.
Third option is the correct answer.
Answer:
[tex] \sqrt{5} [/tex]
Step-by-step explanation:
[tex] \huge \bigg( {5}^{ \frac{3}{4} } \bigg) ^{ \frac{2}{3} } \\ \\ \huge = {5}^{ \frac{3}{4} \times \frac{2}{3} } \\ \\ \huge = {5}^{ \frac{6}{12} } \\ \\ \huge = {5}^{ \frac{1}{2} } \\ \\ \huge = \sqrt{5} [/tex]
How do I find the value of x to the nearest degree?
Answer:
I don't know if it's too advanced for you but you could use the arctangent function.
[tex]tan (x)=\frac{15}{8}\\ x=tan^{-1}(\frac{15}{8} )\\x= 61.9275[/tex]
The measure of Angle 1 is 95 degrees. Which of the following is NOT a true
statement about the angles shown below?*
Answer:
The second choice. m < 4 = 85 degrees.
Step-by-step explanation:
m < 4 = 180 - m < 1
= 180 - 95
= 85 degrees.
The measure of angle 4 is 85 degrees.
How does an angle form?An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints.
The point of their joint is called vertex of that angle.
Those two line segments forming it are called arms of that angle.
The angle is the degree of rotation that it will take for the moving side to go from initial side to the position it is currently on.
We are given that measure of Angle 1 is 95 degrees.
Therefore, we can see that angle 4 and Angle 1 makes linear pair so.
Angle 4 = 180 - Angle 1
= 180 - 95
= 85 degrees.
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How does the graph of f(x) = (x - 1)2 relate to the basic function f(x) = x??
a.
shift 1 unit to the left
shift 1 unit to the right
C.
d.
shift 1 unit up
shift 1 unit down
b.
Please select the best answer from the choices provided
Answer:
Shift 1 unit to the right, i.,e. option (c).
Step-by-step explanation:
Note: Both functions can not be represented by f(x) and square is missing in basic function.
The given basic function is
[tex]f(x)=x^2[/tex]
The given function is
[tex]g(x)=(x-1)^2[/tex]
So, the given function can be written in the form of basic form as
[tex]g(x)=f(x-1)[/tex] ...(1)
The translation is defined as
[tex]g(x)=f(x+a)2+b[/tex] .... (2)
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2), we get
[tex]a=-1,b=0[/tex]
Therefore, graph of f(x) shift 1 unit to the right to get graph of g(x).
Answer:
It C
Step-by-step explanation:
Phone’s Plus charges a connection fee of 35 cents and 3 cents per minute. Fabulous Phones charges a connection fee of 45 cents and 2 cents per minute. Which equation could be used to determine the number of minutes, x, when a phone call would cost the same at both companies?
0.35+0.3x=0.45+0.2x
0.35+0.03x=0.45+0.02x
35+0.03x=45+0.2x
35+0.03x=45+0.02x
Which of the following points is the greatest distance from the origin?
(1,6)
(2,6)
(4,5)
(5,1)
The point which is farthest from the origin is required.
The point which is the greatest distance from the origin is [tex](4,5)[/tex]
Distance from originThe distance of a point from origin is given by
[tex]d=\sqrt{x^2+y^2}[/tex]
[tex](1,6)[/tex]
[tex]d=\sqrt{1^2+6^2}\\\Rightarrow d=\sqrt{37}\ \text{units}[/tex]
[tex](2,6)[/tex]
[tex]d=\sqrt{2^2+6^2}\\\Rightarrow d=\sqrt{40}\ \text{units}[/tex]
[tex](4,5)[/tex]
[tex]d=\sqrt{4^2+5^2}\\\Rightarrow d=\sqrt{41}\ \text{units}[/tex]
[tex](5,1)[/tex]
[tex]d=\sqrt{5^2+1^2}\\\Rightarrow d=\sqrt{26}\ \text{units}[/tex]
The largest number is [tex]\sqrt{41}[/tex]
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I need help asap pls help me
Answer:
36 ft
Step-by-step explanation:
The first step is to find the length of the hypotenuse of the newly formed right triangle. Using the Pythagorean theorem:
[tex]x=\sqrt{10^2+24^2}=\sqrt{100+576}=\sqrt{676}=26[/tex]
Adding this to the 10 foot tall part of the tree that remains standing, you get an initial height of 26+10=36 feet. Hope this helps!
WHY CAN'T ANYONE HELP ME? 1. In Michigan, the sales tax rate is 6%. Suppose that an item costs $50.88 including tax. How can we use algebra to find the price of the item before tax was added? What is the price before tax? Note: Using x = the price before tax, write an equation, and show solving steps to find x. (SOLVE AND CHECK) ($47.83 WON'T BE THE CORRECT ANSWER)
Answer: $48
Step-by-step explanation:
From the question, we are told that in Michigan, the sales tax rate is 6% and that an item costs $50.88 including tax.
Let the cost of the item before tax be x. This means that x plus 6% of x equals to $50.88. This can be mathematically expressed as:
x + (6% of x) = $50.88
x + (6/100 × x) = $50.88
x + (0.06 × x) = $50.88
x + 0.06x = $50.88
1.06x = $50.88
When then divide by the coefficient of x
1.06x/1.06 = #50.88/1.06
x = $48
The price before the tax is $48
Vector donated 1/5 of yesterday's sales plus an additional $125. He gave Azul $2,225 total. How much money did the store make in sales yesterday?
PLEASE HELP ME THIS IS URGENT I AM BEING TIMED!!
A game has 150 cards, and five of them are bonus cards. If all the cards are on the table, what is the probability of getting a bonus card when choosing a card at random? Write your answer as a fraction.
Answer:
1/30
Step-by-step explanation:
well if there are 150 cards on the table and 5 are bonus, this can be turned into a simple fraction 5/150. just simplify and you are good to go!
Every summer Kendra plants a vegetable garden in her yard last year she planted six rows of tomatoes eight rows of peppers Kendra wants to keep the same ratio this year but she only plants to plant three roasted tomatoes how many rows of peppers well Kendra plant this year
Answer: Ratio's 3:5
Step-by-step explanation:
Ratio of last year 6:8 Now this year since she wants to only plant 3 rows of tomatoes there would be five rows of tomatoes cuz ur taking away three rows form each typa veggie so the new ratio is now 3:5
((Hope it Helps))
QUESTION 1 (3 points)
Solve the following equation. Show all work.
4x² - 5 = 76
Answer:
[tex]x_{1} =-\frac{9}{2} \\x_{2} = \frac{9}{2}[/tex]
Step-by-step explanation:
[tex]4x^2 = 76 + 5\\4x^2 = 81\\x^2 = \frac{81}{4}\\ x = |\frac{9}{2}|[/tex]
Answer:
X = 9/2
Step-by-step explanation:
4x² - 5 = 76
4x² = 76 + 5
4x² = 81
4x² = 9²
(2x)² = 9²
2x = 9
X = 9/2
What’s the vertex of y=1/3(x+2)^2-5
Answer:
vertex is (2,-5)
Step-by-step explanation:
y = a(x – h)^2 + k
the vertex is (h,k) in the equation h =2 and k = -5
Choose the product. -6 p3 (3 p2 + 5 p - 1)
Answer:
-18p^5 - 30p^4 + 6p^3
Which expression is equivalent to
15a8b4/5a4b?
Answer:
[tex]3a^4b^3[/tex]
Step-by-step explanation:
[tex]\frac{15a^8b^4}{5a^4b}\\\mathrm{Divide\:the\:numbers:}\:\frac{15}{5}=3\\=\frac{3a^8b^4}{a^4b}\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\frac{a^8}{a^4}=a^{8-4}\\=\frac{3b^4a^{8-4}}{b}\\\mathrm{Subtract\:the\:numbers:}\:8-4=4\\=\frac{3a^4b^4}{b}\\\mathrm{Cancel\:the\:common\:factor:}\:b\\3a^4b^3[/tex]
y = 6x - 11
- 2x – Зу = -7
Solve the systems of equations by substitution
The systems of equations y = 6x - 11 and - 2x – Зу = -7 has solution (2, 1).
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given system of equations are y = 6x - 11 and
- 2x – Зу = -7
substitute y value in second equation.
-2x-3(6x-11)=-7
Apply distributive property
-2x-18x+33=-7
Combine the like terms
-20x+33=-7
Subtract 33 from both sides
-20x=-7-33
-20x=-40
Divide both sides by 20
x=2
Now subtract x=2 in equation 1
y=12-11=1
Hence, the systems of equations y = 6x - 11 and - 2x – Зу = -7 has solution (2, 1).
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Exponent of x?
Exponent of y?
Answer:
[tex] x^{33} [/tex]
Step-by-step explanation:
[tex] \dfrac{x^8y^{-26}}{x^{14}y^{-5} \times x^{-39}y^{-21}} = [/tex]
A negative exponent in the numerator is a positive exponent in the denominator.
A negative exponent in the denominator is a positive exponent in the numerator.
[tex] = \dfrac{x^8y^{5}x^{39}y^{21}}{x^{14}y^{26}} [/tex]
[tex] = \dfrac{x^{8 + 39} y^{5 + 21}}{x^{14}y^{26}} [/tex]
[tex] = \dfrac{x^{47} y^{26}}{x^{14}y^{26}} [/tex]
[tex] = x^{47 - 14} y^{26 - 26} [/tex]
[tex] = x^{33} y^{1} [/tex]
[tex] = x^{33} [/tex]
Please help! I don’t understand
the correct answer is B
The answer is definitely B
What is the inverse of the function f(x) = 4x - 12
Answer:
y=x+12/4
Step-by-step explanation:
y=4x-12
x=4y-12 (then make y the subject)
x+12=4y(divide both sides by 4)
y=x+12/4
Which is the graph of y?
Replace x with a number and solve for y. Plot the points out on a graph.
See the attached picture.
Rotate the image.
f(n)=93+4(n-1)f(n)=93+4(n−1)f, left parenthesis, n, right parenthesis, equals, 93, plus, 4, left parenthesis, n, minus, 1, right parenthesis Complete the recursive formula of f(n)f(n)f, left parenthesis, n, right parenthesis.
Answer: f(n) = 4n + 97 (or 97 + 4n)
Step-by-step explanation:
Distribute 4 and (n-1)
f(n) = 93 + 4n - 4
Add 93 and 4
f(n) = 97 + 4n
Answer:
The answer is 93 & 4
Step-by-step explanation:
I got it right on khan. Btw I don't know if someone said this already bc I am sooo tired bc it's 1 am :(
Need answers to both large and small cups plez
Answer:
4 large and 5 small
Step-by-step explanation:
$1.50×4= $6.00
$0.90×5= $4.50
$6.00+$4.50= $10.50
