Answer:
y=x+4
Step-by-step explanation:
x-y=-5
y=x-(-5)
y=x+5
-----------
y-y1=m(x-x1)
y-1=1(x-(-3))
y-1=x+3
y=x+3+1
y=x+4
Four soccer teams compete in a tournament. Each team faced each other exactly once with no ties allowed. A team received 1 point for each win.
The results
Team 1 had 1 point
Team 2 had 3 points
Team 3 had 1 point
How many points did team 4 have?
Answer:
1 point
Step-by-step explanation:
The number of games in the tournament is:
₄C₂ = 6
Another way to look at it: Team 1 plays 3 games against Team 2, 3, and 4. Then, Team 2 plays 2 games against Team 3 and 4 (Team 2 already played Team 1). Finally, Team 3 plays a game against Team 4. So the total is 3 + 2 + 1 = 6.
If there's a total of 6 games, then there's a total of 6 points. So if x is the number of points Team 4 has:
x + 1 + 3 + 1 = 6
x + 5 = 6
x = 1
Team 4 has 1 point.
Question 1) DoorDash charges a fee of $4.25 to deliver food from a local restaurant and $1.35 per mile. Your meal costs $10.47 before
delivery
Which of the following inequalities can be used to find the maximum number of miles, m, the delivery driver can travel so
that you spend no more than $30?
be
A
m
(10.47 +4.25 +1.35) > 30
arbel
B
10.47 +4.25m + 1.35m<30
°C 10.47 +4.25 + 1.35m 2 30
OD 10.47 +4.25 +1.35m 530
Answer:C
Step-by-step explanation: fixed cost = 10.47+4.25
Variable cost =1.35m
Total cost= 10.47+4.25+1.35m<=30
Answer:
Option C 10.47 +4.25 + 1.35m 2 30
Step-by-step explanation:
Data:
DoorDash charges a fee of = $4.25
Fee per mile = $ 1.35
Cost of a meal = $ 10.47
The maximum number of miles is given by:
10.47 + 4.25 + 4.25 < 30
Therefore, option C is correct.
Which set(s) of points show x in DIRECT PROPORTION to y?
A) {E, C, B} only
B) {G, C, A} only
C) {F, E, D} and {E, C, B} only
D) {F, G, H} and {G, C, A} only
Answer: OPTION D.
Step-by-step explanation:
For this exercise it is important to remember that:
1. Direct proportion equations have the following form:
[tex]y=kx[/tex]
Where "k" is the constant of proportionality.
2. The graph of Direct proportions is an straight line that passes through the origin.
Observe the picture attached.
If you join the points G, C and A, you get a straight line that passes through the origin,
If you join the points F, G and H, you also get a straight line that passes through the origin,
Therefore, the sets of points show "x" in Direct proportion to "y", are:
[tex]\{F, G, H\}[/tex] and [tex]\{{G, C, A}\}[/tex]
Answer:D){F, G, H} and {G, C, A} only
Step-by-step explanation:
6. Solve the equation. Then check your solution. -5d + 10 = 2d - 25
Answer:
d=5
Step-by-step explanation:
-5d+10=2d-25
-5d-2d=-25-10
-7d=-35
7d=35
d=35/7
d=5
in the following figure DE||BC AD=4cm DB=6cm AE=5cm then the value of EC is
Answer:
[tex]ec = \frac{6 \times 5}{4} = 7.5 [/tex]
Sue makes 60 tuna sandwiches for a class outing. She makes 4 sandwiches from each can of tuna. She uses 15 cans of tuna.
How many cans of tuna would Sue need if she made 3 sandwiches from each can?
She would need _____ cans.
Answer:
20 cans of tuna.
Step-by-step explanation:
4 x 15 = 60
3 x ? = 60
3 x 20 = 60
Which has a positive value in Quadrant III?
A) Cosine only
B) Sine only
C) Tangent only
D) Cosine, Sine, and Tangent
Answer: THE ANSWER IS B (Sine ONLY)
Step-by-step explanation:i just did it on USAtestprep
What’s the answer?? Please
What is the domain of the function f(x)=2/5 sqrt x
The domain of the function f(x) = (2/5) * sqrt(x) is all real numbers x ≥ 0, or in interval notation, [0, ∞). This is because square roots are only defined for non-negative real numbers.
Explanation:The domain of a function refers to all possible values that can be input into the function, usually represented by 'x'. For the given function f(x) = \frac{2}{5} \sqrt{x}, we need to determine the set of x-values for which the function is defined. Since we cannot take the square root of a negative number in the set of real numbers, the smallest value for 'x' must be 0. Thus, the domain of the function f(x) = \frac{2}{5} \sqrt{x} includes all real numbers greater than or equal to 0.
This is written mathematically as “x ≥ 0” or in interval notation as [0, ∞). It's important to note that, for real numbers, square roots are only defined for non-negative values, which is why the domain starts at 0 and continues to positive infinity.
Consider the formula W=Fd, where
• W represents work
• F represents force and has units of Newtonsand
•D represents distance and has units of meters (m),
Select an appropriate measurement unit for work.
Plz look at pic
Answer:
Option B [tex]\frac{Kg*m^2}{s^2}[/tex]
Step-by-step explanation:
we know that
The formula to calculate the work is equal to
[tex]W=Fd[/tex]
where
W represents work
F represents force
d represents distance
The units are
[tex]F=(\frac{Kg*m}{s^2})[/tex] ---> Newtons
[tex]d=m[/tex] ---> meters
substitute the units in the formula
Remember that when multiply exponents with the same base, adds the exponents and maintain the same base
[tex](m)(m)=m^{1+1}=m^2[/tex]
so
[tex]W=(\frac{Kg*m}{s^2})(m)=(\frac{Kg*m^2}{s^2})[/tex]
Answer:
B
Step-by-step explanation:
chris bought a cup of hot chocolate does his cup probably hold 400 liters or 400 milliliters of hot chocolate
Answer:
Millileters
Step-by-step explanation:
If it held 400 liters, it would be a pretty gigantic cup
Answer:
400 millieters
Step-by-step explanation:
because a cup is measured in milliters
Evaluate (24 + 2y) + (7y), if y=4
(24 + 2y) + (7y)
(24 + 8) + 28
32 + 28
60
Answer:
60
Step-by-step explanation:
(24 + 2y) + (7y)
(24 + 2 x 4) + (7 x 4)
(24 + 8) + (28)
32 + 28 = 60
Help me please and explain
Check the picture below.
Zoey is 362 meters below sea level while visiting a part of Israel. She descends 71 meters to visit the Dead Sea. Which integer represents the elevation, in meters, of the Dead Sea?
In the beginning, 362 meters below sea level, or -362 meters (if we consider sea level as 0).
Because the Dead Sea is 71 meters below where she was, the equation to solve this would be
-362 - 71 = -433
The answer is -433.
Hope this helps!
Since Zoey is 362 meters below sea level while visiting a part of Israel and she descends 71 meters to visit the Dead Sea, the integer that represents the elevation, in meters, of the Dead Sea is a) -433.
How the elevation is computed:We can use the mathematical operation of subtraction to determine the elevation of the Dead Sea as follows:
The present elevation of Zoey = -362 meters
The descent that she makes to visit the Dead Sea = -71 meters
The elevation of the Dead Sea = -433 (-362 - 71).
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Complete Question:
Zoey is 362 meters below sea level while visiting a part of Israel. She descends 71 meters to visit the Dead Sea. Which integer represents the elevation, in meters, of the Dead Sea?
a) -433
b) -391
c) -311
d) -291
plz answer which is it from the 4 choices
Answer:
Option 3
Step-by-step explanation:
we know that
The solution show in the graph represent the interval [4,∞)
All real numbers greater than or equal to 4
In a number line the solution is the shaded area at right of x=4 (closed circle)
The number 4 is included in the solution set
therefore
Option 3
Cassidy has saved $8,000 this year in an account that earns 9% interest annually. Based on the rule of 72, it will take about years for her savings to double.
Answer:
The number of years in which saving gets double is 8 years .
Step-by-step explanation:
Given as :
The principal amount saved into the account = p = $8,000
The rate of interest applied = r = 9%
The Amount gets double in n years = $A
Or, $A = 2 × p = $8,000 × 2 = $16,000
Let the number of years in which saving gets double = n years
Now, From Compound Interest method
Amount = Principal × [tex](1+\dfrac{\textrm rate}{100})^{\textrm time}[/tex]
Or, 2 × p = p × [tex](1+\dfrac{\textrm r}{100})^{\textrm n}[/tex]
Or, $16,000 = $8,000 × [tex](1+\dfrac{\textrm 9}{100})^{\textrm n}[/tex]
Or, [tex]\dfrac{16,000}{8,000}[/tex] = [tex](1.09)^{n}[/tex]
Or, 2 = [tex](1.09)^{n}[/tex]
Now, Taking Log both side
[tex]Log_{10}[/tex]2 = [tex]Log_{10}[/tex] [tex](1.09)^{n}[/tex]
Or, 0.3010 = n × [tex]Log_{10}[/tex]1.09
Or, 0.3010 = n × 0.0374
∴ n = [tex]\dfrac{0.3010}{0.0374}[/tex]
I.e n = 8.04 ≈ 8
So, The number of years = n = 8
Hence, The number of years in which saving gets double is 8 years . Answer
Solve (-7/3)x - 3 = -52
Answer: x = 21
Step-by-step explanation:
look at the picture
when the function p(x) is divided by x - 1 the quotient is x^2 + 7 + 5/x - 1. State P(x) in standard form.
Answer:
We know that
P(X) = Dividor × Quotient
So dividor = x-1
Quotient = x2 + 7 + 5/x-1
So,
P(x) = x3 - x2 + 7x -2
Step-by-step explanation:
Taking LCM of quotient we will get
(x3 - x2 + 7x - 2)/(x-1)
Now by multiplying the above equation with x-1,
Only thing remaining will be
x3 - x2 + 7x - 2
This is P(x).
The polynomial p(x) in standard form, when given the quotient formed from dividing p(x) by (x - 1), is x^3 - x^2 + 7x - 2.
Explanation:The function p(x) can be expressed in standard form by multiplying divisor (x - 1) by the quotient, (x^2 + 7 + 5/(x - 1)) according to polynomial division rules. To get p(x), you multiply the quotient by the divisor and add the remainder. However, since there is no remainder mentioned, we assume it's zero and ignore it.
Therefore, p(x) is (x - 1)(x^2 + 7 + 5/(x - 1)). To simplify further, distribute (x - 1) across each term in the parenthesis:
Multiplying (x - 1) by x^2 yields x^3 - x^2. Multiplying (x - 1) by 7 results in 7x - 7. Multiplying (x - 1) by 5/(x - 1), the (x - 1) factors cancel, leaving 5.So, the polynomial p(x) is x^3 - x^2 + 7x - 7 + 5 or, simplified further, x^3 - x^2 + 7x - 2.
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How do you write the subtraction problem -8-5 as an addition problem?
Answer - 8+(-5)= -13
Step-by-step explanation:
The owner of a chain of 12 restaurants wants to conduct a survey to determine whether his employees are properly informed by the location manager about safety procedures. Complete the statements below to identify the samples as random or non-random. If the owner surveys employees only at the most popular location and it’s likely all employees at each location were given the same safety information, the sample is . If the owner surveys the same number of employees at each of his restaurants, the sample is .
1. non-random and biased.
2. random and unbiased.
p ={all even numbers that are less than or equal to 20}
Answer:
[tex]p =\{\text{all even numbers that are less than or equal to 20}\}\\\\p=\{n|n=2k\ \wedge\ n\leq20\ \wedge\ k\in\mathbb{N}\}=\{0,\ 2,\ 4,\ 6,\ 8,\ 10,\ 12,\ 14,\ 16,\ 18,\ 20\}[/tex]
What is the remainder when 4x^3+2x^2-18+38/x-3
Answer:
110
Step-by-step explanation:
You want the remainder from the division ...
[tex]\dfrac{4x^3+2x^2-18x+38}{x-3}[/tex]
RemainderThe remainder theorem tells you the remainder of ...
f(x)/(x -a)
is f(a).
We can compute f(a) directly, or we can do it using synthetic division. The attachment shows the synthetic division approach.
If we want to evaluate f(x), it is convenient to write it in Horner Form:
f(x) = 4x³ +2x² -18x +38 = ((4x +2)x -18)x +38
Then, for x = 3, this is ...
((4·3 +2)·3 -18)·3 +38 = (14·3 -18)·3 +38 = 24·3 +38 = 110
The remainder from the division is 110.
16x^4 - 144x^2
How to factorise this question and which identity should we use
The factored form of given expression is:
[tex]16x^2(x-3)(x+3)[/tex]
Step-by-step explanation:
The identity that can be used to factorize the given expression is:
[tex]a^2-b^2 = (a+b)(a-b)[/tex]
Given
[tex]16x^4-144x^2[/tex]
As 16 is a factor of both terms
[tex]=16x^2(x^2-9)[/tex]
Using the identity
[tex]=16x^2[(x)^2-(3)^2]\\=16x^2[(x-3)(x+3)][/tex]
Hence,
The factored form of given expression is:
[tex]16x^2(x-3)(x+3)[/tex]
Keywords: Factorization, polynomials
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The perimeter of a square depends on the length of its sides. Answer the questions below regarding the relationship between the perimeter of the square and the length of one side of the square.
The perimeter of a square is calculated by multiplying the length of one side by 4.
The perimeter of a square is the sum of all four sides. Since a square has equal sides, you can find the perimeter by multiplying the length of one side by 4. The formula for the perimeter of a square is P=4s, where P is the perimeter and s is the length of one side.
For example, if the length of one side is 5 units, the perimeter would be 4 * 5 = 20 units. If the length of one side is 8 centimeters, the perimeter would be 4 * 8 = 32 centimeters.
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Can someone help me!!!!!!
Answer:
The value of x is 4, 3rd point.
Step-by-step explanation:
Move all the variables to one side & move unknown value to the other side :
4x - 3 = 2x + 5
4x - 2x = 5 + 3
2x = 8
Then solve it :
2x = 8
x = 8/2
x= 4
Answer:
C. x = 4
Step-by-step explanation:
4x - 3 = 2x + 5
4x - 2x - 3 = 2x - 2x + 5
2x - 3 = 5
2x - 3 + 3 = 5 + 3
2x = 8
(1/2) 2x = 8 (1/2)
x = 4
What is an equation of the line that passes through the point (-2, 1) and is parallel to the line whose equation is 4x-2y=8?
The equation of the line is y = 2x+ 5.
1. Identify the slope:
Lines are considered parallel if they have the same slope.
To find the slope of the given line, we can rearrange the equation 4x-2y=8 to slope-intercept form (y = mx + b) by isolating y: y = 2x - 4.
Therefore, the slope of both the given line and the parallel line we want to find is 2.
2. Use the point-slope form:
We can use the point-slope form of the equation to create the equation of the new line: y - y₁ = m(x - x₁)
Substituting the known point (-2, 1) and the slope (2): y - 1 = 2(x - (-2))
Simplifying the equation: y - 1 = 2x - 4
Combining like terms: y = 2x + 5
Therefore, the equation of the line that passes through (-2, 1) and is parallel to the line 4x-2y=8 is y = 2x + 5.
To find a parallel line to 4x-2y=8 that passes through (-2, 1), we determine the slope of the given line (which is 2) and use point-slope form to write the equation of the new line, resulting in y = 2x + 5.
Explanation:The student is asking for the equation of a line that passes through a specified point and is parallel to a given line. The equation of the existing line is 4x-2y=8. To find a parallel line, we must have the same slope. First, let's find the slope of the given line by rewriting its equation in slope-intercept form (y=mx+b), where m is the slope and b is the y-intercept. The original equation is 4x - 2y = 8, which can be rewritten as y=2x-4. Thus, the slope is 2.
Since the new line must be parallel, it will also have a slope of 2. Using the point-slope form of a line, which is y - y1 = m(x - x1), where (x1,y1) is the point the line passes through, we substitute the point (-2,1) and the slope of 2 to get the equation y - 1 = 2(x + 2). Simplifying this, we get y = 2x + 5 as the equation for the line that is parallel to 4x-2y=8 and passes through the point (-2, 1).
S4) The data can be modeled by the regression line y = 1.2x + 3.5. What is the residual at
=5?
The residual is 1.5
Step-by-step explanation:
Given the regression line equation as : y=1.2x +3.5
The formula for residual = Observed y-value - Predicted y-value
This gives the vertical distance from the actual plotted point to the point on the regression line. You should find how far the data fall from the regression line.
In this case, at y=5, from the graph, to get the vertical distance, perform subtraction as;
5.0 - 3.5 = 1.5
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Keywords : residual, regression line, modeled, data
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Law of cosines.Anyone good in Trigonometry?
Answer:
[tex]c=11.8\ units[/tex]
Step-by-step explanation:
we know that
The formula of law of cosines is equal to
[tex]c^2=a^2+b^2-2(a)(b)cos(C)[/tex]
where
a, b and c are sides. C is the angle opposite side c
In this problem we have
[tex]a=3\ units\\b=10\ units[/tex]
[tex]C=120^o[/tex]
substitute the given values
[tex]c^2=3^2+10^2-2(3)(10)cos(120^o)[/tex]
[tex]c^2=109-(60)cos(120^o)[/tex]
[tex]c^2=109-(60)(-0.5))[/tex]
[tex]c^2=109+30[/tex]
[tex]c^2=139[/tex]
[tex]c=11.8\ units[/tex]
solve each proportion using cross product property
Using the cross product property on this proportion gives us the following equation:
6 (3x + 3) = 7 (x + 16)
Use the distributive property
18x + 18 = 7x + 112
Subtract both sides by 7x
11x + 18 = 112
Subtract both sides by 18
11x = 94
Divide both sides by 11
x = 94/11
This fraction is already fully simplified and cannot be simplified further. This should be your answer.
Let me know if you need any clarifications, thanks!
Answer:
Step-by-step explanation:
6(3x+3) = 7(x+16)
18x+18=7x+112
-7 on both sides
11x+18=112
-18 on both sides
11x/11 = 94/11
x=8.5
There are (42)3 ⋅ 40 horses on a stud farm. What is the total number of horses on the farm?
Answer:
5040
Step-by-step explanation:
When a number is in the Parenthesis that means you multiply. First you do 42*3 The answer would be 126. Since there is another Multiplication sign you just plug in your quotient (answer) into the problem. Now the equation is 126*40. 126*40=5040
Answer:
4^6
Step-by-step explanation: