Answer:
all of them
Step-by-step explanation:
What system of linear inequalities is shown in the graph?
Enter your answers in the boxes.
Answer:
y ≤ (-2)x+2
y < (1/3)x + 2
Step-by-step explanation:
First, we'll want to figure out the lines that are intersecting.
To find the equation of a line given two points (of form y=mx+b), we can first find the slope (m). This is equal to (y₂-y₁)/(x₂-x₁) for points (x₁,y₁) and (x₂,y₂). Then, we can plug a point in and solve for b.
For the line that has points at (1,0) and (2, -2), our slope is
(y₂-y₁)/(x₂-x₁) = (-2-0)/(2-1)
= (-2)/1
= -2
Our equation is therefore y= (-3/2)x+b. Plugging a point like (2,-2) in, we get
-2 = (-2)(2) + b
-2 = -4 + b
add 4 to both sides to isolate b
b =2
Our equation is thus y = (-2)x+2
For the other line, with points at (-3,1) and (0,2), our slope is (2-1)/(0-(-3)) = 1/3
Then, our equation is y=(1/3)x+b
plug (-3,1) in
1 = (1/3)(-3) + b
1 = -1 + b
add 1 to both sides to isolate the b
b =2
Our equation is thus y=(1/3)x + 2
Our equations are y=(1/3)x + 2 and y = (-2)x+2. In the graph shown, the shaded area is under both the lines (it is also to the left of them, not to the right or on top). Therefore, we can say that the shaded area is less than the line.
For y = (-2)x+2, the line is not dotted, so the line is included in the region. This means that our inequality is y ≤ (-2)x+2 (note the ≤ rather than simply the < sign)
For y=(1/3)x + 2, the line is dotted, so it is not included in the region. This means that our inequality is y < (1/3)x + 2
Please help! Geometry 9th grade
Answer:
69.3
Step-by-step explanation:
if you put it into 2D, you get a right triangle with leg lengths 62 (vertical height) and 31 (1/2 the base's length). Using Pythagorean's Theorem you get sqrt((62^2)+(31^2))= 69.318. Rounding to the nearest tenth you get 69.3
– 18q+10q+16q–3= – 19
Answer:
q = -2
Step-by-step explanation:
-18q + 10q + 16q - 3 = -19
~Combine like terms
8q - 3 = -19
~Add 3 to both sides
8q = -16
~Divide 8 to both sides
q = -2
Best of Luck!
Triangle ABC is reflected across the line y = x. What are the coordinates of the vertex B' of the resulting triangle A'B'C?
Answer:
B' (2, - 5 )
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y ) → (y, x ) , then
B (- 5, 2 ) → B' (2, - 5 )
Hi~! can someone help me with this~?
It costs 3 bowls and a jug 13.70, the jug costs $4.10 more that the bowl, how much does the jug cost-?
Thank u~!
Answer:
$6.50
Step-by-step explanation:
Let the cost of a bowl and a jug be $b and $j respectively.
3b +j= 13.70 -----(1)
j= b +4.10 -----(2)
Substitute (2) into (1):
3b +b +4.10= 13.70
4b +4.10= 13.70 (simplify)
4b= 13.70 -4.10 (-4.10 on both sides)
4b= 9.60
b= 9.60 ÷4 (÷4 on both sides)
b= 2.40
Substitute b= 2.40 into (2):
j= 2.40 +4.10
j= 6.50
Thus, the jug costs $6.50.
What is the range of the function y = x² + 1?
Answer
[ 1 by 2, -1 by 2 ]
Step-by-step explanation:
https://haygot.s3.amazonaws.com/questions/1118559_1200733_ans_2ec06a240d2240e49dc1c9fda7b41ef5.jpeg
Answer:
range { 1, ∞ }
Step-by-step explanation:
y = x² + 1
is a parabola with its vertex at (0, 1)
The range is { 1, ∞ }
WILL BE MARKED BRAINLIEST!!!!!HHHHHeeeelllllllppppppp!!!!!!!!!!!!!!!!!!! URGENT!!!!!!!
Jake tossed a paper cup 50 times and recorded how it landed. The table shows the results:
Position Open Side Up Closed Side Up Landing on Side
Number of Times Landed in Position 1 5 44
Based on the table, determine the experimental probability of each outcome (landing open side up, landing closed side up, and landing on its side). Show your work.
Answer:
Closed side up : 5/50
1/50 = open side up
44/50 = landing side
experimental probablity Formula:
no. of times event was conducted/ Total no. of times experiment was conducted.
Let's first start with open side up.
No. times it was conducted was 1.
Total no times experiment conducted: 50 times
1/50 = open side up
Closed side up
No. times it was conducted was 5
Total no times experiment conducted: 50 times
5/50
The same for landing on side :
44/50
Have a wonderful day!!
The experimental probability of each outcome (landing open side up, landing closed side up, and landing on its side) is given as:
[tex]P_e(A) = \dfrac{1}{50} = 0.02\\\\P_e(B) = \dfrac{4}{50} = 0.08\\\\P_e(C) = \dfrac{44}{50} = 0.88\\\\[/tex]
What is experimental probability?Experimental probability calculates the probability of some event from the results of experiments.
For an event E, we get the experimental probability of that event
[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]
where, [tex]P_e(E)[/tex] is denoting experimental probability of occurrence of E.
For the given case, if we name the events for results of tossing of paper cup as:
A = Event of getting open side upB = Event of getting close side upC = Event of that cup landing on sidesThen, as it is given that:
Number of times paper cup was tossed = 50
Number of times A occurred = 1Number of times B occurred = 5Number of times C occurred = 44Thus, their experimental probabilities are obtained as:
[tex]P_e(A) = \dfrac{1}{50} = 0.02\\\\P_e(B) = \dfrac{4}{50} = 0.08\\\\P_e(C) = \dfrac{44}{50} = 0.88\\\\[/tex]
Learn more about experimental probability here:
https://brainly.com/question/2547434
solve the equation
[tex]log10 \: ( {x}^{2} - 4x + 7) = 2[/tex]
Answer:
x = 2 ±sqrt( 97)
Step-by-step explanation:
log10(x^2 -4x+7) =2
Raise each side to the base 10
10 ^ log10(x^2 -4x+7) =10^2
x^2 -4x +7 = 100
Subtract 7 from each side
x^2 -4x+7-7 = 100-7
x^2 -4x = 93
Complete the square
-4/2 = -2 (-2)^2 = 4
Add 4 to each side
x^2 -4x+4 = 93+4
(x-2)^2 = 97
Take the square root of each side
sqrt((x-2)^2 )=±sqrt( 97)
x-2 = ±sqrt( 97)
Add 2 to each side
x = 2 ±sqrt( 97)
please help! will give brainliest if the answer is correct:) need the answers in order to move on in the lesson!
Answer:
Just use a calculator and wite the square root value in it
Step-by-step explanation:
Atempt this method with all options at last u will have ur answer
Estimate the correlation coefficient that would best describe the data below.
0.4
-0.4
0.9
-0.9
Answer:
Step-by-step explanation:
Draw a line through the data points with about half of the points on one side of the line and the other half on the other side. You'll see that there is a slight positive rise in the graph as we move from left to right, but the correlation is weak. Thus, 0.4 is the correct correlation coefficient in this case.
The correlation coefficient that would best describe the data give in the table is 0.4 which is a weak positive correlation.
CorrelationWhat is correlation?The statistical concept of correlation describes how closely two variables move in tandem with one another.
Types of correlation:(1) Positive correlation:The two variables are considered to have a positive correlation if they move in the same direction.When there is a complete positive correlation, the correlation coefficient is 1.(2) Negative correlation:We say there is a negative correlation between the variables when the 'y' variable tends to decrease as the 'x' variable increases.(3) No correlation:We claim there is no correlation between the two variables when there is no obvious connection between them.Description for the graph:As the graph is scattered in such a way that,if we draw a line from the centre, we can observe that as 'x' increases 'y' also increases so the relation is positive correlation.
But it is seen in the graph that these points are scattered, so this relation is weak. For positive weak correlation the value should be less than 0.5.
Therefore, the given graph shows positive weak correlation with value 0.4.
To know more about statistics, here
https://brainly.com/question/23724696
#SPJ2
What is the domain of the function shown below?
[tex]y = log_{3}(x + 2) [/tex]
A. All real numbers greater than -2
B. All real numbers less than 2
C. All real numbers
D. All real numbers greater than 0
Answer:
A
Step-by-step explanation:
A logarithmic function, log(x) has a domain x>0. For this logarithmic equation x+2>0, x>-2.
please look at the following attachment
Answer:
6 blocks have red faced
Step-by-step explanation:
54 blocks have 1 red face
describe the rule that describes the relationship between the numbers in the top row (x) and the bottom row (y) in the following table
Answer:
y(x) = 2x+3
Step-by-step explanation:
the rule is y(x) = 2x+3
What is the solution of the system of equations?
y = –3x + 7
y = 2x – 8
Answer:
(3,-2)
Step-by-step explanation:
The easiest way to solve this is to realize that in both equations, the ys must have the same value. So the right side of each equation can be equal.
-3x + 7 = 2x - 8 Add 8 to both sides
-3x + 7 + 8 = 2x Combine
-3x + 15 = 2x Add 3x to both sides
15 = 2x + 3x Combine and exchange sides
5x = 15 Divide by 5
x = 15/5
x = 3
Use y = 2x - 8 to solve for y
y = 2(3) = 8
y = 6 - 8
y = - 2
A line with slope 3 intersects a line with slope 5 at the point (10, 15). What is the distance between the x-intercepts of these two lines?
The distance between the intercepts of both lines is 2 units
The equation of a line in slope intercept form is:
[tex]y = mx + b[/tex]
Where:
[tex]m \to[/tex] slope
[tex]b \to[/tex] y intercept
For the first line, we have:
[tex]m_1 = 3[/tex] ---- the slope
So, the equation of the first line is:
[tex]y = 3x + b_1[/tex]
For the second line, we have:
[tex]m_2 = 5[/tex] --- the slope
So, the equation of the second line is:
[tex]y = 5x + b_2[/tex]
Both lines intersect at (10,15) means that (10,15) is a common solution to the equation of both lines
i.e.
[tex](x,y) = (10,15)[/tex]
Substitute these values in the first equation and solve for b
[tex]y = 3x + b_1[/tex]
[tex]15 = 3*10 + b_1[/tex]
[tex]15 = 30 + b_1[/tex]
[tex]b_1 = 15 - 30[/tex]
[tex]b_1 = -15[/tex]
So, the equation of the first line is
[tex]y = 3x - 15[/tex]
Repeat the same process for the second line
[tex]y = 5x + b_2[/tex]
[tex]15 = 5*10 + b_2[/tex]
[tex]15 = 50 + b_2[/tex]
[tex]b_2 = 15 - 50[/tex]
[tex]b_2 = -35[/tex]
So, the equation of the second line is
[tex]y =5x - 35[/tex]
The x intercept is when [tex]y =0[/tex]
So, we substitute 0 for y and solve for x in the equations of both lines
For line 1
[tex]y = 3x - 15[/tex]
[tex]0 = 3x - 15[/tex]
[tex]3x= 15[/tex] ---- Collect like terms
[tex]x = 5[/tex] --- Divide both sides by 3
The x intercept of line 1 is 5
For line 2
[tex]y =5x - 35[/tex]
[tex]0 = 5x - 35[/tex]
[tex]5x = 35[/tex] --- Collect like terms
[tex]x = 7[/tex] -- Divide both sides by 5
The x intercept of line 2 is 7
The distance (d) between both is the difference in the intercepts:
[tex]d = 7 - 5[/tex]
[tex]d = 2[/tex]
Read more about intercepts at:
https://brainly.com/question/12791065
find the measure of y.
options:
86°
102°
130°
122°
Answer:
B
Step-by-step explanation:
It's a 4 sided polygon, so it's sum of interior angle will be 360. 120+y+85+53=360. y=102
if a car covers 82.5 km in 5.5L of gas, how much distance will it cover in 13.2L of gas?
Answer:
198 KM
Step-by-step explanation:
82.5KM/5.5L= 15KM per liter
13.2 x 15 = 198 KM
help me with this pleaseeee
Answer:
it's 64..............
Marcia, Maureen, and Mario want to buy a $132 present for Sarah. Maureen is paying one half of Marcia's quantity, and Mario, one third of Marcia's quantity. Luckily for them the item has an 18% discount
How much is Mario paying?
Answer:
$19.68
Step-by-step explanation:
this is not really clearly defined.
I assume it means that they are buying the item, no matter how much it costs, and that the split ratio between them also remains the same no matter the actual cost.
x = what Marcia is paying
and 132 - 18% = 132 × (100 - 18) / 100 = 132×0.82 = 108.24
so,
x + x/2 + x/3 = 108.24
6x + 3x + 2x = 649.44
11x = 649.44
x = $59.04
Mario's part is x/3 = 59.04/3 = $19.68
Zoe walks at a speed of 10 miles/h and jogs at a speed of 20 miles/h. She goes to the park to walk 2 miles on a Monday. How long will she take to walk 2 miles?
Answer:
12 minutes
Step-by-step explanation:
Given
[tex]s_1 = 10mi/h[/tex] --- walk speed
[tex]s_2 = 20mi/h[/tex] --- jog speed
[tex]d = 2\ miles[/tex] --- distance
Required
The time to walk the given distance
Time is calculated as:
[tex]Time = \frac{distance}{speed}[/tex]
In this case, the speed is the speed at which she walks.
So, we have:
[tex]Time = \frac{d}{s_1}[/tex]
Substitute known values
[tex]Time = \frac{2mi}{10mi/h}[/tex]
[tex]Time = 0.2hr[/tex]
Convert to minutes
[tex]Time = 0.2 * 60mins[/tex]
[tex]Time =12mins[/tex]
Hai giá sách có 450 cuốn sách .Nếu chuyển 50 quyển từ giá thứ nhất sang giá thứ hai thì số sách ở giá số hai sẽ bằng 4/5 số sách ở giá thứ nhất ?Tính số sách ở mỗi giá.
Step-by-step explanation:
hơi khó hiểu thông cảm UwU
please help i’ll mark brainliest
Answer:
x=0
x=6
x=-1
Step-by-step explanation:
x(x^2-5x-6)
x(x-6)(x+1)
x=0
x=6
x=-1
Alex has collected apples. It has 40 boxes of 8.5 kg each and 6 sacks of 90kg each. Pack the apples in bags of 2.5 kg each. how many bags do you get?
Answer:
40*8.5=340
6*90=540
total=880/2.5=352bags
8w + 19 - 4w = -5? What is the value of w?
Answer:
4w = -5-19
4w=-24
w=-6
hope that answers your question
good luck
A rectangle has a length 3 times as long as its breadth, and it has a perimeter of 152cm. What is it's length?
Answer:
Maybe length iss= 27 cm.
What is the range of the given function?
{(-2, 0), (-4, -3), (2, -9), (0,5), (-5, 7)}
O {x | x = -5, 4, -2, 0, 2}
{yly = -9, -3, 0, 5, 7}
{x | x = -9, -5, 4, -3, -2,0, 2, 5, 7}
{yl y = -9, -5, 4, -3, -2, 0, 2, 5, 7}
9514 1404 393
Answer:
(b) {yly = -9, -3, 0, 5, 7}
Step-by-step explanation:
The range is the set of y-values in the ordered pairs. It is usually convenient to list a set in alphanumeric order.
The second values of the ordered pairs are 0, -3, -9, 5, 7. So, the range is ...
y ∈ {-9, -3, 0, 5, 7} . . . . . matches the second choice
(81/16)1/4 +(81/16)0
Answer:
should be 0.28125
Step-by-step explanation:
How do I solve this problem?
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Short answer: to solve this problem, follow directions.
a. Write the inequalitiesLet c and p represent numbers of cakes and pies produced daily. Then the constraints are ...
2c +3p ≤ 108 . . . . . . . . available hours of preparation time
1c +0.5p ≤ 20 . . . . . . . available hours of decoration time
p ≥ 0, c ≥ 0 . . . . . . . . . negative numbers of cakes or pies cannot be produced
__
b. Sketch the feasible regionIt works well to let a graphing calculator do this.
The feasible region is the doubly-shaded area with vertices ...
(0, 0), (0, 36), (3, 34), (20, 0)
__
c. Write the profit functionProfit is $25 per cake and $12 per pie, so is ...
p = 25c +12p
__
d. Determine maximum profitThe attached table shows the profit for the various mixes of cakes and pies in the feasible region. The most profit is had by production of cakes only.
The maximum profit is $500 per day for production of 20 cakes.
_____
Additional comment
We have used x for cakes and y for pies in the attachment, because those are variables that the Desmos calculator prefers.
As is sometimes the case, the production point giving maximum profit leaves one of the resources (preparation time) only partially utilized.
A construction crew is completing about 40 yards of a new highway each day. At this rate, how long will it take them to complete a stretch of 1.6 miles? Round your answer to the nearest tenth if necessary
Answer:
70 days
Step-by-step explanation:
that is the procedure above
Jeremy has $120 in his saving account. Katie had $180 in her account. Each week Jeremy adds $14.00 to his account and Katie adds $10 to her. How many weeks before Jeremy and Katie have the same amount of money saved up
Answer:
15 weeks
Step-by-step explanation:
Let the number of weeks = x.
At the end of x weeks,
Jeremy has 120 + 14x,
and Katie has 180 + 10x
We want to know when their amounts are equal.
120 + 14x = 180 + 10x
4x = 60
x = 15
Answer: 15 weeks
Answer:
15 weeks
Step-by-step explanation:
One is given the following information:
Jeremy
Starts with $120Adds $14 every week to his accountKatie
Stars with $180Adds $10 every week to her accountLet the parameter (x) represent the number of weeks passed. Parameter (y) is the amount in the account, (S) represents the amount in the account to start with and (A) represents the amount added to the account every week. One can use the following general equation to represent the situation:
y = S + Ax
Substitute the given information into the equation for each person:
Jeremy: y = 120 + 14x
Katie: y = 180 + 10x
One is asked to find the point in time when the two account have the same amount of money. Therefore, set the two equations equal to each other and solve:
y = 120 + 14x = 180 + 10x
Inverse operations,
120 + 14x = 180 + 10x
4x = 60
x = 15
15 weeks will pass before Katie and Jeremy have the same amount of money in their accounts.
