Answers
Answer:
A=-3
Step-by-step explanation:
To begin, a parabola of form a(x-h)² +k opens upward when a is positive. Similarly, when a is negative, the parabola opens downward. Therefore, a must be negative here, as our expression for the parabola is a(x-0)²+0 = ax², with (0,0) being (h,k) and the vertex.
To determine whether a should be -3 or -0.6, we can think about the values on the graph that correspond to these values. A narrower graph would have a steeper slope. A narrower graph would have a large change in y with little change in x. Therefore, as ax² = y is our equation, and when a=-3, y changes more rapidly relative to when a = -0.6, A=-3 is our answer
Related Questions
If a ball is thrown straight up with an initial velocity of 29.4 m/s, the
equation for the height "h" is given by h = -4.9t2 + 29.4t. When does the
ball return to the ground?
Answers
Answer:
6 sec
Step-by-step explanation:
when ball return to the ground, h is 0
0=at^2 +bt
0 = -4.9t^2+29.4t
factor: -4.9 times -6 is 29.4
0 = -4.9t(t-6)
set each equation to 0
-4.9t = 0 or t-6=0
t = 0 or t= 6
it's 6 seconds
Answer:
after 6 seconds in the air
Step-by-step explanation:
setting 'h' equal to zero will yield when the ball returns to the ground
you can factor out -4.9t to get:
-4.9t(t - 6) = 0
t = 0 (prior to ball being thrown)
t = 6 (this means, after 6 seconds, the height of the ball is back to zero)
The present oge of a :b are in ratio 5: 6 three year ago , thier age were in the ratio 4:5 find there present age .
Answers
Answer:
Their present age are 15 and 18
Step-by-step explanation:
a : b = 5 : 6
[tex]\frac{a}{b} = \frac{5}{6} \\\\6a = 5b\\\\a = \frac{5b}{6} \\\\\frac{a-3}{b-3} = \frac{4}{5} \\\\5(a-3) = 4(b-3)\\\\5a - 15= 4b - 12\\\\5a - 4b = 15 - 12\\\\5a - 4b = 3\\\\substitute \ the \ value \ of \ a \ into \ the \ above \ equation;\\\\5(\frac{5b}{6} ) - 4b = 3\\\\25b - 24b = 18\\\\b = 18\\\\now, \ solve \ for \ a;\\\\a = \frac{5}{6} \times 18\\\\a = 15[/tex]
pls help me..... the question is in the attachment.... thank you
Answers
Answer:
I added some attachments as well, I hoped I helped.
Compare the graph h(x)=1/4x^2 to the graph of f(x) = x2.
Answers
Answer:
h(x) is the image after f(x) is horizontally stretched by a scale factor of 4
Step-by-step explanation:
Given
[tex]h(x) = \frac{1}{4}x^2[/tex]
[tex]f(x) = x^2[/tex]
Required
Compare h(x) to f(x)
We have:
[tex]h(x) = \frac{1}{4}x^2[/tex]
Substitute [tex]f(x) = x^2[/tex]
[tex]h(x) = \frac{1}{4}f(x)[/tex]
This means that f(x) is stretched horizontally by a scale factor of 4 to get h(x)
Consider the graph of the function f(x) =
= 10^x
What is the y-intercept of function gif g(x)
=4f(x) + 12
Answers
Answer:
(0,8)
Step-by-step explanation:
Let X be 0 and solve for Y to get the intercept
y= - 4([tex]10^{x}[/tex]) + 12
y= - 4 * [tex]10x^{0}[/tex] + 12
y= - 4 * 1 + 12
y= - 4 + 12
y=8
when x=0, y=8
(0,8) is y intercept
The y-intercept of the given function is (0,8).
We have given that,
The graph of the function f(x) = 10^x
The y-intercept of function gif g(x)=4f(x) + 12
What is the intercept?
The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.
Let X be 0 and solve for Y to get the intercept
[tex]y= - 4(10^x) + 12[/tex]
[tex]y= - 4 (10^0) + 12[/tex]
[tex]y= - 4 * 1 + 12[/tex]
[tex]y= - 4 + 12[/tex]
[tex]y=8[/tex]
when x=0, y=8
The y-intercept of the given function is (0,8).
To learn more about the intercept visit:
https://brainly.com/question/1884491
#SPJ5
Jamal works at a sporting goods store on the weekends. Suppose last weekend he worked 12.5 hours and earned $110. How much money does Jamal earn per hour? Step I: Write an equation you can use to solve the problem. Be sure to define the variable you use. NOTE: If you are paid hourly, you must multiply your hourly rate by the number of hours worked in a week to find the amount of money made. (4
Answers
Answer:
$8
Step-by-step explanation:
12.5 hours earned him $110
then an hour will earn him less
12.5=$110
1=x then you cross multiply
12.5x=110
12.5x/12.5=110/12.5
x=8
therefore an hour will earn him $8
Triangle ABC, where Angle C is the Right Angle in the lower left. Side CB is a leg of the triangle and is horizontal--going left and right. Side CA is another leg of the triangle and is vertical--going up and down. Angle A is up on top and is 41 degrees. Angle B (the other acute angle) is unknown. The hypotenuse AB is 30 feet in length. What is the height of the triangle (Side CA)? Round your answer to the nearest tenth of a foot.
help
Answers
Answer:
CA = 22.6 ft
Step-by-step explanation:
For the known angle A, leg CA is the adjacent leg.
Side AB is the hypotenuse.
The trigonometric ratio that relates the adjacent leg tot eh hypotenuse is the cosine.
cos A = adj/hyp
cos 41° = CA/(30 ft)
CA = 30 ft * cos 41°
CA = 22.6 ft
Please hurry up PLEASE ILL GIVE YOU ALL MY POINTS
Answers
Step-by-step explanation:
vvhigvgivgivgvyiviyviiyi5ivtvtviv58yvyvt vttúfi6yifiyvh8gucufxhfxxxxxyrdyrd6ytdxdyccgi h
A penny-farthing is a bicycle with a very large front wheel and a much smaller back wheel. Penny-farthings were popular in the 1800s and were available in different sizes. Suppose the diameter of one particular penny-farthing's front wheel is inches and the ratio of the diameter of the front wheel to the diameter of the back wheel is :1. What is the circumference of the back wheel? Use 3.14 for. The circumference of the back wheel is nothing inches.
Answers
Answer:
The circumference of the back wheel is 2.62 inches
Step-by-step explanation:
Given
[tex]d_1 = 5in[/tex] --- diameter of front wheel
[tex]d_1 : d_2 = 3:1[/tex] --- ratio of the diameters
Required
The circumference of the back wheel
First, we calculate the diameter of the back wheel.
We have:
[tex]d_1 : d_2 = 3:1[/tex]
Substitute: [tex]d_1 = 5in[/tex]
[tex]5in: d_2 = 3 : 1[/tex]
Express as fraction
[tex]\frac{d_2}{5in} = \frac{1}{3}[/tex]
Make [tex]d_2[/tex] the subject
[tex]d_2 =5in * \frac{1}{3}[/tex]
[tex]d_2 = \frac{5}{3}\ in[/tex]
So, the circumference (C) of the back wheel is:
[tex]C =\pi d[/tex]
[tex]C = 3.14 * \frac{5}{6}\ in[/tex]
[tex]C = \frac{3.14 * 5}{6}\ in[/tex]
[tex]C = \frac{15.7}{6}\ in[/tex]
[tex]C = 2.62\ in[/tex]
What is the area is square feet?
Answers
Answer:
A = 24
Step-by-step explanation:
Figure shown is a trapezoid
Area of a trapezoid = [tex]\frac{a+b}{2} h[/tex]
where a and b = base lengths and h = height
The trapezoid shown has the following dimensions
Shorter base length (a) = 6
Longer base length (b) = 10
Height (h) = 3
Using these dimensions , plug in the values into the area formula
A = [tex]\frac{6+10}{2} 3[/tex]
add 6 + 10 = 16
[tex]A=\frac{16}{2} 3[/tex]
divide 16/2 = 8
[tex]A = (8)(3)[/tex]
multiply 8 times 3
A = 24
Expected value is: Group of answer choices the average probability of all possible outcomes of a future event occurring, weighted by each possible outcome individually the sum of all probabilities of all possible outcomes of a future event occurring the sum of all possible outcomes of a future event, weighted by its probability of occurring
Answers
Answer:
the average probability of all possible outcomes of a future event occurring, weighted by each possible outcome individually
Step-by-step explanation:
An experiment can be defined as an investigation which typically involves the process of manipulating an independent variable (the cause) in order to be able to determine or measure the dependent variable (the effect).
This ultimately implies that, an experiment can be used by scientists to show or demonstrate how a condition causes or gives rise to another i.e cause and effect, influence, behavior, etc in a sample.
In Statistics, an expected value can be defined as the average probability of all possible outcomes of a future event occurring in an experiment, weighted by each possible outcome individually. Thus, an expected value in theory refers to the outcome an individual expect to obtain from an experiment in the long-run.
Mathematically, an expected value can be calculated by summing the products of each distinct outcome and their probability respectively.
I need help I don’t get it and it’s hard can someone help me
Answers
Answer:
choice 4
Step-by-step explanation:
It's not that hard if you understand once you get past the fancy words
degree= largest exponent
so if something has a degree of 3 we know that the highest exponent is 3
Coeficcent= thing multipllying x
in this case it's 4 which means the number we are looking for is 4x³
Onlyanswer choice 4 meets these criteria
Answer:
The answer is (4) [tex]2x+x^{2} +4x^{3}[/tex].
Step-by-step explanation:
A leading coefficient is the coefficient of the term of highest degree in a given polynomial.
A degree of a polynomial is the largest exponent on one of its variables (for a single variable), or the largest sum of exponents on variables in a single term (for multiple variables).
The answer can be found when the polynomial is rearranged into standard form, and the standard form of the polynomial will look like [tex]4x^{3}+x^{2} +2x[/tex]. A polynomial is in standard form when the term with the highest degree is placed first, followed by the term which has the next highest degree, and so on.
Once the polynomial is in standard form, the leading coefficient is 4 and has a degree of 3. Thus, causing (4) [tex]2x+x^{2} +4x^{3}[/tex] to be the answer.
factorise fully the following expression (am-an+bm-bn)
Answers
Step-by-step explanation:
am-an+bm-bn
m(a+b)-n(a+b)
(m-n)(a-b)
Answer:
[tex] \small \sf \: ( m - n ) ( a + b )[/tex]
Step-by-step explanation:
( am - an + bm - bn)
Do the grouping= ( am - an ) + ( bm - bn )
Factor out a in the first and b in the second group= a ( m - n ) + b ( m - n )
factor out common term m - n by using distributive property= ( m - n ) ( a + b )
Which of the following is NOT true about mathematical induction?
A.The first possible case is always n = 1.
B.Mathematical induction depends on a recursive process.
C.It can be used to prove that 1 + 2 + 3+...+n =
n(n+2)
2
D. Since Sn is valid for n = 1, it is valid for n = 2. Since it is valid for n = 2, it is valid for n = 3, and so on, indefinitely.
Answers
Answer:
A. the first possible case is always n = 1
Step-by-step explanation:
Mathematical induction is a technique used to provide proof for a statement such that the statement holds for all natural numbers which are the non-negative integers
Therefore, given that the natural numbers are 0, 1, 2..., we have that mathematical induction can start from n = 0
Therefore, the statement which is not true is that the first possible case is always n = 1
I don't understand help plz
Answers
Which multiplication equation is false?
A) (-a)*(-1)=(-a)
B) (-a)*0=0
C) (-a)*1=(-a)
D) (-a)*b=b*(-a)
Answers
Answer:
A is wrong
Step-by-step explanation:
Answer:
A(-a)*(-1)=(-a)
Step-by-step explanation:
Anything multiplied by 0 is 0. Therefore, option B is correct.
Option A is wrong because when multiplying two negatives you should get a positive not a negative.
Anything multiplied by 0 is 0. Therefore, option B is correct
Option C is correct because a negative times a positive gives a positive.
Option D is correct because you can't solve for different times being multiplied you can only combine like terms therefore your answer will equal the same result here.
i need help...... ..
Answers
Problem 27)
Refer to the diagram that says "problem 27".
This is the graph of y = 5x where x is the time in years, and y is the amount of simple interest in the account.
This equation comes from the simple interest formula below
i = P*r*t
i = 100*0.05*x
i = 5x
y = 5x
Note: The graph is a straight line through (0,0) and (1,5)
=====================================================
Problem 28)
The abscissa is the x coordinate. For a point like (-3, -7), the abscissa is -3.
The ordinate is the y coordinate. For that point mentioned earlier, the ordinate is -7.
The graph of points is shown below in the figure labeled "problem 28".
When graphing any point, we always start at the origin (0,0) where the x and y axis meet up. Then for a point like (-3,-7) we move 3 units to the left on the x axis and 7 units down on the y axis to arrive at point A. The other points are plotted in a similar fashion. The labels A,B,C,D are optional. They were added to help keep track of the points.
A fitness club offers two membership plans.
Plan A: $30 per month
Plan B: $18 per month plus $2 for visit for each visit to the club
a) graph the linear system. When would the cost of the two membership plans be the same
B) describe a situation under which you would
Choose each plan
Help please
Answers
Questions in the image.
Answers
Answer:
Step-by-step explanation:
1). 3x + 10
3(2) + 10
= 16
2). 14 - 2y
14 - 2(-3)
= 20
3). 7x - 5y
7(2) - 5(-3)
= 29
4). 5x + 7
5(2) + 7
= 17
5). 2x + 3y
2(2) + 3(-3)
= -5
6). 6y - 5x
6(-3) - 5(2)
= -28
Use the following to write and solve a proportion to find the values of X, Y and Z.
Answers
Answer:
x = 48-32 = 16
y = 32/16 × 10 = 20
z = 48/32 × 26 = 39
2. A company manufactures fuses. The percentage of non-defective fuses is 95.4%. A sample of 9 fuse was selected. Calculate the probability of selecting at least 3 defective fuses.
Answers
Answer:
0.0067 = 0.67% probability of selecting at least 3 defective fuses.
Step-by-step explanation:
For each fuse, there are only two possible outcomes. Either it is defective, or it is not. The probability of a fuse being defective is independent of any other fuse, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A company manufactures fuses. The percentage of non-defective fuses is 95.4%.
This means that 100 - 95.4 = 4.6% = 0.046 are defective, which means that [tex]p = 0.046[/tex]
A sample of 9 fuse was selected.
This means that [tex]n = 9[/tex]
Calculate the probability of selecting at least 3 defective fuses.
This is:
[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]
In which
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{9,0}.(0.046)^{0}.(0.954)^{9} = 0.6545[/tex]
[tex]P(X = 1) = C_{9,1}.(0.046)^{1}.(0.954)^{8} = 0.2840[/tex]
[tex]P(X = 2) = C_{9,2}.(0.046)^{2}.(0.954)^{7} = 0.0548[/tex]
Then
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.6545 + 0.2840 + 0.0548 = 0.9933[/tex]
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.9933 = 0.0067[/tex]
0.0067 = 0.67% probability of selecting at least 3 defective fuses.
Apply the distributive property to create an equivalent expression.
\dfrac12(2a - 6b+ 8) =
2
1
(2a−6b+8)=start fraction, 1, divided by, 2, end fraction, left parenthesis, 2, a, minus, 6, b, plus, 8, right parenthesis, equals
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]a-3b+4[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Simplifying the Equation...}}\\\\\frac{1}{2}(2a-6b+8)\\----------------\\\rightarrow\frac{1}{2}* 2a = a\\\\ \rightarrow\frac{1}{2}*-6b = -3b\\\\\rightarrow\frac{1}{2}*8 = 4\\\\\text{\underline{Therefore:}}\\\\\frac{1}{2}(2a-6b+8)\rightarrow \boxed{a-3b+4}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer: a-3b+4
Step-by-step explanation:
Credits to guy up there
Name the marked angle in 2 different ways.
Answers
1) angle RQP
2) angle PQR
Slopes of parallel lines
Answers
Answer:
2
Step-by-step explanation:
Parallel lines have the same slopes
If the slope of line a is 2, the slope of line b is 2
Answer:
slope of line b = 2
Step-by-step explanation:
The slopes of parallel lines are equal
Given slope of line a = 2 and parallel to line b , then
slope of line b = 2
I understand the problem
Answers
Answer:
c.100
Step-by-step explanation:
first draw a figure of rhombus EFGH to avoid confusions
given
angle E= 3x+5
angle H= 4x
here,
E=G and H=F ( opposite angles of rhombus are equal)
now,
E+G+H+F= 360 ( sum of interior angles in a rhombus)
3x+5+3x+5+4x+4x= 360
x= 25°
we know that,
F= H
F= 4x
F= 4 × 25
F= 100
Hyunjin has $26 and wants to buy 7 americanos for his group. Each americano costs $2.25.
How much money would he have left?
Answers
Answer:
10.25
Step-by-step explanation:
26-7(2.25)=10.25
Answer:
$10.25 would be left over
Step-by-step explanation:
Hyunjin spends 7($2.25), or $15.75, for those 7 americanos.
To find out how much money he'd have left, we subtract this $15.75 from his $26, obtaining $10.25.
For the angle 0 = 150° moving counter-clockwise in standard position, determine which
primary trigonometric ratio is positive.
Answers
Answer: Start at the positive
x
-axis, then rotate left by the desired angle.
Explanation-
Standard position means the first arm of the angle is the positive
x
-axis, and the other arm is placed by rotating counter-clockwise from there, by the amount of the angle.
As a basic example, the symbol
∠
is about a 45° angle in standard position.
To get a feel for where the second arm (called the "terminal arm") will go, remind yourself that the axes themselves meet each other at 90°.
If our angle was 90°, the terminal arm would be on the positive
y
-axis.
If our angle was 180°, it would be on the negative
x
-axis.
Wait! 180° is more than 150°, so our angle is somewhere in quadrant 2. In fact, 150° is 2/3 of the way between 90° and 180°, so our terminal arm will be 2/3 of the way into quadrant 2.
graph{(y+tan(pi/6)x)(y^2-.00001x)=0 [-10, 10, -5, 5]}
(ignore the part of the line in quadrant 4)
a square garden has an area of 6400 square find its perimeter
Answers
Answer:
80
Step-by-step explanation:
Area of a square is LxL where L is the length of the side
so 6400 = LxL
L = 80
Evaluate: 5 + 2 • 42?
Answers
5 + ( 2 × 42 ) =
5 + 84 =
89
.....
.....
Answer:
89
Step-by-step explanation:
So we will follow PEMDAS in this exact order:
P- Parentheses
E- Exponents
M- Multiplication
D- Division
A- Addition
S- Subtraction
5 + 2 • 42 Equation
5 + (2 • 42) We have no parentheses or exponents so we move on to multiplication
5 + 84 We have no division so we move on to addition
= 89 We have no subtraction so this is our final answer
4.2 To buy a new car is not a very good investment. In the first year the car will
decrease in value by 25%.
4.2.1
If the car costs R200 000, what will it be worth after 1 year?
Answers
Given:
In the first year, the car will decrease in value by 25%.
The cost of a car is Rs. 200,000.
To find:
The worth of the car after 1 year.
Solution:
The cost of a car is Rs. 200,000 and in the first year the car will decrease in value by 25%. So, the worth of the car after 1 year is:
[tex]Worth=200000-\dfrac{25}{100}\times 200000[/tex]
[tex]Worth=200000-\dfrac{1}{4}\times 200000[/tex]
[tex]Worth=200000-50000[/tex]
[tex]Worth=150000[/tex]
Therefore, the worth of the car after 1 year is Rs. 150,000.
