Answer:
X= 3/2
Step-by-step explanation:
hope this helps
Find all real numbers x such that 3x - 4 < 5 and -8x - 19 < 21
Answer:
the numbers are -5 and 3
Step-by-step explanation:
First of all, the question is asking you to find the values of x from the given inequalities.
-8x -19<21 and 3x - 4 < 5
group all liked terms, in other words, make x and its coefficient stand alone.
-8x < 21 + 19 and 3x < 5 + 4
-19 became +19 because it crossed the sign <, also -4 became +4 because it crossed the sign <.
so we get
-8x < 40 and 3x < 9
we divide each "x" by its coefficient
[tex] \frac{ - 8x}{ - 8} < \frac{40}{ - 8} \: and \: \frac{3x}{3} < \frac{9}{3} [/tex]
then we get
x < -5 and x < 3
but x is positive so it's greater than -5 so we get
x > -5 and x < 3
Question 16 of 25
What is the inverse of the function below?
fx) = x - 4
O A. f-1(x) = x- 4
O B. f- (x) =-X+4
O c. f-1(x) = x+4
O D. f-1(x) = -x- 4
The inverse of the function is f ( x )⁻¹ = x + 4
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = x - 4 be equation (1)
On simplifying , we get
The inverse of the function is given by replacing x with y
So , the value of the function is
y = x - 4
x = y + 4
On interchanging , we get
f ( x )⁻¹ = x + 4
Hence , the inverse is f ( x )⁻¹ = x + 4
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Change the subject of the equation v = u + at to a.
In order to make a the subject of this equation , we need to get a by itself .
The current equation is :
v = u + at
Subtract u on both sides :
v-u=at
Now, divide by t on both sides :
v-u/t=a
So the formula looks like ↓[tex]\boxed{\\\begin{minipage}{3cm}Equation \\ a=$\displaystyle\frac{v-u}{t} $ \\ \end{minipage}}[/tex]
hope helpful ~
Anthony is planning a trip, using
a map with a scale of 1 cm to
15 miles. If the destination is
15 cm away on the map, how far
away, in miles, is the destination?
[?] miles
Answer:
225 miles
Step-by-step explanation:
(15)(15)=225
Hope this helps
Write an equation of the line with the given slope and y-intercept:
m = negative 5, b = 4
a.
y = negative 5 x + 4
b.
y = 5 x + 4
c.
y = negative 5 x minus 4
d.
y = 5 x minus 4
Answer:
y = negative 5 x + 4
Step-by-step explanation:
Hope it helps you in your learning process
There is a circle inscribed in an equilateral triangle, and there is another equilateral triangle inscribed in the circle. The ratio of the area of the larger triangle to the smaller triangle is:
Answer:
Assuming that the circle bissects the triangles equal sides at their midpoints, the ratio of the larger to smaller triangle should be close to 1/3
The tax rate is 6.8% what is the tax on $9.95
Answer:
$10.60
Step-by-step explanation:
6.8% = .068
.068 x 9.95
0.64675
since this is money
$.65
$9.95 + $.65
$10.60
Complete the table
Original Price: [ ? ]
Percent of Discount: 25%
Sale Price: $40
What is the original price?
State translation,reflection or rotation
(x, y) ——-> (x + 9, y + 2)
Answer:
Translation
Step-by-step explanation:
Translation as the x and y are both being moved over the plane.
give it a line segment containing the points AB and C in order if AB is four and BC is 16 then what is the length of AC
a jewelry maker uses 4/5 yards of wire to make 3 necklaces. She uses the same length of wire for each necklace. What length of wire will she use to make 5 of the same necklaces.
Answer:
[tex]\frac{4}{3} \text \ yards\ of\ wire[/tex]
Step-by-step explanation:
She uses 4/5 yards of wire to make 3 necklaces
Then
In Oder to make 1 necklace she use :
[tex]\frac{\left( \frac{4}{5} \right) }{3} =\frac{\frac{4}{5} }{\frac{3}{1} } =\frac{4}{5} \times \frac{1}{3} = \frac{4}{15}\ \ \small\text yards\ of \ wire[/tex]
Now to make to make 5 of the same necklaces she needs :
[tex]\frac{4}{15} \times 5=\frac{4}{15} \times \frac{5}{1} =\frac{20}{15}= \frac{4}{3} \ \ \ \text \ yards\ of\ wire[/tex]
16. How much did your classmates typically spend on music downloads last year? statistical or not statistical
Answer:
This would be a statistical question.
Step-by-step explanation:
What is the distance between the points (-1 , -11) and (-1 , 23) in a coordinate plane?
Answer:
they're are just both different numbers on the coordinate plane. Simple.
Step-by-step explanation:
help me please
help me please
Answer:
1 second
Step-by-step explanation:
[tex]s=-5\\u=0\\v=\\a=-10\\t=t[/tex]
[tex]\begin{aligned}\textsf{Using} \quad s & =ut+\dfrac12at^2\\ \implies -5 & =(0)t+\dfrac12(-10)t^2\\ -5 & = -5t^2\\ t^2& = 1\\ t & = \pm\sqrt{1}\\ t & = 1\: \sf s\end{aligned}[/tex]
What is the area of the figure?
A figure can be broken into a rectangle and triangle. The rectangle has a base of 5 feet and height of one-third feet. The triangle has a base of 3 and two-thirds feet and height of 2 feet.
5One-third ft2
6 and two-thirds ft2
7 ft2
9 ft2
Answer:
Given a figure that is broken into a rectangle and triangle.
The dimensions of the rectangle are:
Base : 5 ft
Height : 1/3 ft
The dimensions of the triangle are :
Base : 3 upon 2/3 ft
Height : 2 ft
The area of the figure calculated below :-
Area of rectangle + Area of triangle
Area of rectangle + Area of triangleLB + 1/2BH
(5×1/3) + (1/3+3upon2/3×2)
The result is simplified below :-
5/3+11/3
5+11/3
16/3 ft
51/3 ft square.
The area of the figure is 5 and one third square feet.
Answer:
5 1/3
Step-by-step explanation:
Natasha and Rodrigo are in a class of 30 students that selects 4 leaders. How many ways are there to select the 4 leaders so that either Natasha and Rodrigo are both selected or Natasha and Rodrigo are both not selected
There are 20853 ways are there to select the 4 leaders so that either Natasha and Rodrigo are both selected or Natasha and Rodrigo are both not selected.
What is combination?A combination is a mathematical technique that determines the number of possible arrangements in a collection of items.
The number of the possible ways will be calculated by:
[tex]=2 ^{28}C_2+^{28}C_4[/tex]
[tex]=\dfrac{28\times 27}{2}+\dfrac{28\times 27\times 26\times 25}{4\times 3\times 2}[/tex]
[tex]=756+28853[/tex]
[tex]=21231[/tex]
Hence there are 20853 ways are there to select the 4 leaders so that either Natasha and Rodrigo are both selected or Natasha and Rodrigo are both not selected.
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after jill received her paycheck, she put $150.00 into a saving account. she spent $12.49 on a CD, $29.89 on a pair of jeans and $12.95 on dinner. She had $44.67 left. How much was Jill’s paycheck
Answer:
Jill had $250 in her paycheck
Step-by-step explanation:
150+12.49+28.89+12.95
+44.67=249 technically not 250 but its the closest answer.
7. Claire has a $60 gift card. She uses the
whole value of the card to buy 4 copies
of the same book to give as gifts. How
much does each book cost?
Answer:
$15
Step-by-step explanation:
60/4 = 15
help brainless if right
Answer:
The boat is 26 mi far from dock .
Step-by-step explanation:
By using PGT
P²+B² = H²
=> 10² + 24² = c²
=> 100 + 576 = c²
=> 676 = c²
=> √676 = c
=> 26 = c
Answer:
26 miles
Step-by-step explanation:
We can use Pythagorean's Theorem for right triangles which states that:
[tex]a^2+b^2=c^2[/tex]
The values 'a' and 'b' are the shorter sides of the triangle, while the value 'c' is the longest side of the triangle. We are given the two shorter sides 'a' and 'b', so let's now find 'c':
[tex](24mi)^2+(10mi)^2=c^2[/tex]
[tex]576mi^2+100mi^2=c^2[/tex]
[tex]c^2=676mi^2[/tex]
[tex]c=\sqrt{676mi^2}[/tex]
[tex]c=26mi[/tex]
When Ryan runs the 400 meter dash, his finishing times are normally distributed with a mean of 75 seconds and a standard deviation of 0.5 seconds. Using the empirical rule, determine the interval of times that represents the middle 68% of his finishing times in the 400 meter race.
The interval of times which represents the middle 68% of Ryan's finishing times in the 400 meter race, using the empirical rule, is 74.5 seconds to 75.5 seconds.
What is empirical rule?According to the empirical rule, also known as 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95% and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.
[tex]P(\mu - \sigma < X < \mu + \sigma) = 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) = 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) = 99.7\%[/tex]
Here we had where mean of distribution of X is [tex]\mu[/tex] and standard deviation from mean of distribution of X is [tex]\sigma[/tex].
When Ryan runs the 400 meter dash, his finishing times are normally distributed with a mean of 75 seconds and a standard deviation of 0.5 seconds.
The interval of times that represents the middle 68% of his finishing times in the 400 meter race is,
[tex]P(75 - 0.5 < X < 75 + 0.5) = 68\%\\P(74.5 < X < 75.5) = 68\%[/tex]
Thus. the interval of times which represents the middle 68% of Ryan's finishing times in the 400 meter race, using the empirical rule, is 74.5 seconds to 75.5 seconds.
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in a linear equation, how many times will a line cross the x-axis and y-axis?
(a) 4
(b) 2
(c) 1
(d) 3
Answer:
1 time they will only cross 1 time
Answer:
one, in a linear equation a line will only cross the x-axis and y-axis once.
if the point (-1,-5) is reflected across the x - axis, what is the new location of the point
Answer: ( -1, 5 )
Step-by-step explanation: Reflection across the x axis only flips the sign of the y axis
A 30% discount is given on the cost of a $420 laptop. How much is the discount
Answer: $126
Step-by-step explanation: 30/100 × 420/1
What is the to this Question please let me now
4^4=
Answer:
4^4=4*4*4*16*16=256
Step-by-step explanation:
Answer:
4^4 =16
Step-by-step explanation:
4^4 = 4 · 4
they are both the same thing
4 + 4+4+4 = 16
Which is the smallest number that when rounded off to the nearest hundred thousand equals 500
million?
help me add the location for each point of a b and c
A = -4
B = -1
C = 3
hope this helped!
jefferson elementary school has 47 classrooms. There are approximately 28 students in each classroom. about how many students attend jefferson elementary school
Answer:
1316 students
Step-by-step explanation:
to find the answer to this question you simply multiply the number of students in each classroom 28 people by the number of classrooms 47.
28 (students) X 47 (classrooms) = 1316
Im so confused… PLEASE HELP.. also sorry its so dark but its 6,6
Answer:
what is it asking?
Step-by-step explanation:
if its how many cubes it needs for it to fill up its 9
PleASE HELP FAST
no links
Answer:
y=40/183x
Step-by-step explanation:
y = Rise/Run multiplied plus y intercept by x or Y= mx + b
There is no b
m = 40/183
Y = 40/183x
24 There are 4 students running for president in the school election. The likelihood of
each student winning has been estimated by surveying a random sample of
students. The results of the survey are shown below.
Jocelyn
1
5
Melvin 1596
Sharon
3
10
Jayden 0.35
Which student is most likely to win?
A Jocelyn
B Melvin
C Sharon
D Jayden
Answer:
D
Step-by-step explanation:
1/5 = 20%
3/10 = 30%
15%<35%
30%<35%
20%<35%