The standard form for the linear equation is y=6a+38.
Linear FunctionAn equation can be represented by a linear function. The standard form for the linear equation is: y= ax+b , for example, y=5x+3. Where:
a= the slope.
b= the constant term that represents the y-intercept.
For the given example: a=5 and b=3.
The question gives:
- the value of the slope (a) = 6
- the coordinates of a point = (-3,20)
Thus, you can write from the question information :
y=ax+b
20=6*(-3)+b
20=-18+b
b=20+18=38
Therefore, the standard form for the linear equation is:
y=6a+38
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What is the quotient of (−192) ÷ (−16) ÷ (−4)?
The 15 members of a team are getting new uniforms. Shirts cost $25
each, shorts cost $30 each, and shoes cost $75 a pair. What is the TOTAL
cost of the new uniforms for ALL of the members?
Answer:
$1,950.00
Step-by-step explanation:
Total cost of shirts = $25 x 15 = $375
Total cost of shorts = $30 x 15 = $450
Total cost of shoes = $75 x 15 = $1,125
Total cost = $375 + $450 + $1,125
= $1,950.00
What are the coordinates of the midpoint of,
PQ for P(-12, 6) and Q(1,-8)?
Write each expression as a single logarithm.
log 5-k log 2
The expression log 5-k log 2 can be expressed as log (5/[tex]2^{k}[/tex]) in the form of single logarithm.
Given that the expression is log 5-k log 2.
We are required to find the expression as a single logarithm.
Division of logarithm says that log (m/n)=log m-log n.
The expression is log 5-k log 2.
log 5-k log 2=log 5-log [tex]2^{k}[/tex]
(We have to write the power of 2 which is k because it is in front of 2)
=log (5/[tex]2^{k}[/tex])
Hence the expression log 5-k log 2 can be expressed as log (5/[tex]2^{k}[/tex]) in the form of single logarithm.
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6b + 3x = 12
2b - 2x = 4 pls help i need this answer asap
I need help understanding the question is x+1=-5
Answer:so you have to get x by itself so minus 1 to both sides that would equals x=-6 thats your answer but if it was 2x=-6 then you wound divide until you get x by itself hope this helps but the answer is
x=-6
Step-by-step explanation:
Answer:
I got you!
So x is basically a placeholder for a number. We don't know what that number is, so we just put the letter x so we can make an equation. x can also be shown as a ? or any symbol as long as it consitant throughout the whole equation. for x+1=-5, we are trying to find what number when added to 1 equals -5. Or.... 1+?=-5. We can subtract 1 from each side of the equation to get ?=-6. Or in this case, X=-6!
Hayley and Phoebe have a lemonade stand where they sell cups of lemonade for $0.75 a piece. The function p(c)=0.75c represents the profit p(c) that the girls
earn if they sell c cups of lemonade. The girls have 150 cups.
Find the domain and range. Write your answers as compound inequalities.
The domain of the function is given by: 0 ≤ c ≤ 150
The range of the function is given by : 0 ≤ p(c) ≤ 112.5
The range of values that we are permitted to enter into our function is known as the domain of a function.
The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of domain values.In order to identify the values of the independent variable x and acquire the domain, we simply solve the equation y = f(x). Simply put, x=g(y) will calculate the function's range after we identify g's domain (y).The given statement states that the profit from selling 150 cups of lemonade is denoted by p(c) such that p(c) = 0.75c
Now the girls can sell a maximum of 150 lemonades.
Hence the domain of the values are : 0 ≤ c ≤ 150
at x=0 , p(c) = 0.75 × 0 = 0
at x= 150 , p(c) = 0.75 × 150 = 112.50
Therefore the range of the function is : 0 ≤ p(c) ≤ 112.5
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What is the expression and value of "six less than the quotient of a number and two, increased by ten" when n = 20? startfraction n over 2 endfraction minus 6 10; when n = 20, the value is 14. 6 minus startfraction n over 2 endfraction 10; when n = 20, the value is 6. startfraction n over 2 endfraction minus 6 10; when n = 20, the value is 17. 6 minus startfraction n over 2 endfraction 10; when n = 20, the value is 3.
The algebraic expression that represents the expression "six less than the quotient of a number and two, increased by ten" is [(n/2) - 6] + 10 and its value is 14 when n is 20.
An algebraic expression is a number, variable, or the combination of both and operational symbols.
The expression "six less than the quotient of a number and two, increased by ten" can be written as:
[(n/2) - 6] + 10
where n is the number
Evaluate the expression by substituting the value of n.
[(n/2) - 6] + 10
= [(20/2) - 6] + 10
= (10 - 6) + 10
= 4 + 10
= 14
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FINE THEN 90 POINT TO WHO ANSWERS
Answer:
Lucia is using 7000 calories per minute
Step-by-step explanation:
1 kcal per hour = 1000 cal per hour = 1000/60 cal per minute
420 kilocalories = 420000 calories
Lucia is using 420000 calories per hour
Lucia is using 420000/60 calories per minute
Lucia is using 7000 calories per minute
Answer:
7000 cal per minute
Step-by-step explanation:
Express the product (5/2x+1) and (1/2x+1/4) as a trinomial in simplest form
The product of the given expressions is expressed as a trinomial as: 5/4x² + 9/8x + 1/4.
How to Solve Trinomials?Given the expressions, (5/2x +1) and (1/2x + 1/4), find the product by multiplying both together as shown below:
(5/2x + 1)(1/2x + 1/4)
Distribute
5/2x(1/2x + 1/4) + 1(1/2x + 1/4)
5/4x² + 5/8x + 1/2x + 1/4
Combine like terms
5/4x² + 9/8x + 1/4
Therefore, the product of the given expressions is expressed as a trinomial as: 5/4x² + 9/8x + 1/4.
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What is the constant of 2x+3y+4z+5a+6b
Constants values in the expression 2x+3y+4z+5a+6b are 2,3,4 ,5 and 6.
A constant is a value or number that is consistently the same regardless of how it is expressed. For instance, in the aforementioned figure, where its face value is 36 and 82 respectively, 36 and 82 remain constant. Its worth remains constant.
To broaden our definition, we can say that a constant is something that never changes. Either a single digit or a symbol that denotes a specific number is used. You could substitute a letter like a, b, or c for a constant.
An illustration of a constant term is the mathematical symbol Pi. The word "Pi" refers to a well-known number that can be used alone.
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1/4x-2=2x-9
find value for x
Answer:
Add 2 to both sides.
1/4x=2x-7
Multiply both sides by 4
x=8x-28
-8x from each side.
-7x=-28
divide both sides by -7
X=4
Answer: x=4
1. Multiply both sides by 4 to get rid of the denominator, which gives you x-8 = 8x-36
2. Subtract 8x from both sides, which gives you x - 8 - 8x= -36
3. Add 8 to both sides, which gives you x - 8x = -36 + 8
4. Simplify, -7x = -28
5. Divide both sides by -7, x = -28/-7
6. the negative signs cancel and you just get 4
a contractor buys 8.2 square feet of sheet metal. she used 2.1 square feet so far and has $183 worth of sheet metal remaining. write and solve an equation to find out how much sheet metal costs per foot
1) The equation that shows the cost of sheet metal per foot, s/ft² = $183 ÷ 6.1 ft².
2) The solution of the equation shows that sheet metal costs $30 per foot.
What is an equation?An equation is a mathematical expression that states that two variables are equal.
Equations are stated using the equation symbol (=).
Data and Calculations:The total quantity of sheet metal bought = 8.2 ft²
The total quantity of sheet metal used = 2.1 ft²
The remaining quantity of sheet metal = 6.1 ft² (8.2 ft² - 2.1 ft²)
The value of the remaining quantity of sheet metal = $183
The cost of sheet metal per foot = $30 ($183/6.1 ft²) or ($183 ÷ 6.1 ft²)
Thus, the cost of sheet metal is $30 per foot.
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How do I solve 3/4m - 1/12m = 7/8?? (This is a linear equation problem btw if you didn’t know).
Jalen is computing the slope of a line on the graph below. Which statement describes Jalens error?
Jalen computed the raitio in e to change in y
Jalen use the ordered pairs in the wrong order
Jalen made a computational error
Jalen used an ordered pair that is not on the line
The statement which describes Jalen's error is that: A. Jalen computed the ratio of change in x to change in y.
What is a graph?A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
How to calculate the slope of a line?Mathematically, the slope of any straight line can be calculated by using this formula;
[tex]Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]
Slope, m = Δy/Δx
In this context, we can reasonably infer and logically deduce that the statement which describes Jalen's error is that Jalen computed the ratio of change in x to change in y i.e Δx/Δy, instead of Δy/Δx = (0 - 3)/(-4 - 2).
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3. What is the GCF of 12a³ and 24a5?
A. 3a³
B. 3a5
C. 12a³
D. 12a5
Answer:
C
Step-by-step explanation:
12a³ and 24[tex]a^{5}[/tex]
the GCF of 12 and 24 is 12
the GCF of a³ and [tex]a^{5}[/tex] is a³
the GCF of both is 12a³
A figure has two pairs of parallel sides and four right angles. The figure is translated 4 units down. How many parallel sides does the imagine have?
The number of parallel sides that the translated figure will have is 2 pairs of parallel sides.
What is the result of translation of an Object?
We are given the properties of the figure as;
Number of Parallel sides = Two Pairs
Number of Right Angles = 4
Now, a rectangle is the figure that has two pairs of opposite sides parallel, and four right angles. A square could also have this same properties.
Now, if the figure is translated by 4 units down, according to transformation, that does not change the dimension of the figure and as such it retains same number of parallel sides.
Thus, the number of parallel sides that the translated figure will have is 2 pairs of parallel sides.
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Solve. Check for extraneous solutions. -∛x+3=0
No Extraneous solution in the equation.
The equation is
-∛x + 3 = 0
To find whether the solution has the extraneous solution or not we need to find the value of x.
∛x = 3
x = 27
Now we have to put the value of x = 27 in the equation
∛27 = 3
3 = 3
Therefore we get to know that there is no extraneous solution to the equation.
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Can someone help me with this? Acelllus
On a slow weekend, you spend at least two hours on homework. on a busy weekend, you spend as much as five hours on homework. write an absolute value inequality that represents the number of hours you spend doing homework on a typical weekday.
Absolute value inequality that represents the number of hours you spend doing homework on a typical weekday is 2 ≤ x ≤ 5.
Let us assume that one spends x hours doing homework on a typical weekday. Then we can write
The inequality expression for a slow weekend is given as;
X ≥ 2
In the same vein, the inequality expression for a busy weekend is given as;
X ≤ 5
Putting the two inequalities we have together in the same expression;
2 ≤ x ≤ 5
Two inequality expression could be written simultaneously if they can be expressed individually. They are commonly referred to as a “double” inequality. Writing an absolute value for this expression is represented as:
|x - h|≤ k
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Which of the following is an equivalent representation of 5-4 ?
A drawing has a scale of 1:30 On the drawing, a kitchen is a rectangle measuring 12 cm by 27 cm A bedroom has an actual area of 300 000 cm² Which has the bigger actual area, the kitchen or the bedroom? You must show your working.
The actual area of the bedroom is bigger than the actual area of the kitchen.
The area a rectangle occupies is the space it takes up inside the limitations of its four sides. The area of a rectangle is determined by its dimensions. A rectangle's area is essentially equal to the product of its length and breadth.
In the drawing, the kitchen is in the shape of a rectangle with dimensions of 12 cm × 27 cm.
Therefore, the area of the rectangle will be:
Area = Length × Breadth
Area = 12 cm × 27 cm
Area = 324 cm²
Now, the actual area of the bedroom is 300,000 cm².
Then the difference between the area,
difference = bedroom - kitchen
difference = 300,000 - 324 cm²
difference = 299676 cm²
Therefore, the area of the bedroom is bigger than the area of the kitchen.
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Montserrat can make 4 bracelets in 2 1/4 hours. How many bracelets can she make per hour
Answer: Montserrat bracelets can she make per hour = 0.5625 hours
Step-by-step explanation:
Given data,
Montserrat can make 4 bracelets in 2 1/4 hours.
Let assume Montserrat can make 1 bracelets in x hours.
So,
we can write,
4 ⇒ 2 1/4
1 ⇒ x
Then,
4x = 1 * 2 1/4
4x =1* 9/4
4x = 9/4
x = (9/4)/4
x = 9/16
x = 0.5625 hours.
Therefore,
Montserrat bracelets can she make per hour = 0.5625 hours
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Mary deposits her paycheck into her checking account every month, pays all her bills, and then puts $200 into her
money market account. She has done this for two years and now has $4,000 in a money market account that she has
not needed for expenses. Her bank requires a $250 [ninimum for regular savings accounts, $1,000 for CDs, and $1,250
for money market accounts. What would be the best option for her?
O She should do nothing; she never knows when a big expense might come up.
She should open a one-year CD with $1,000 from her money market account.
She should open a two-year CD with $2,000 from her money market account.
O She should open a regular account at another bank to keep her money safer.
Answer:
she should open a regular account to keep her money safer
Step-by-step explanation:
Which number is ninetythree and six hundredths
Answer: 93/600 or 93.06
Step-by-step explanation:
Evaluate 32+ (6-2) 4-3. (1 point)
The simplified form of the given expression is 45.
The given expression is 32+(6-2)4-3.
An expression in math is a sentence that contains at least two numbers/variables and at least one math operation. The mathematics operators will be addition, subtraction, multiplication and division.
The expression is 32+(6-2)4-3.
Firstly, we will simplify the subtraction which is in the bracket, we get
32+(6-2)4-3=32+(4)4-3
Now, we will simplify the multiplication, we get
32+(6-2)4-3=32+16-3
Further, we will simplify the addition, we get
32+(6-2)4-3=48-3
Furthermore, we will simplify the subtraction, we get
32+(6-2)4-3=45
Hence, the simplified form of the given expression 32+(6-2)4-3 is 45.
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Help please let me know if you get it
The line passing through point [tex]F[/tex] that is skew to [tex]\overleftrightarrow{EH}[/tex] is [tex]\overleftrightarrow{CF}[/tex] .
Skew lines are two parallel but non-intersecting lines. The two lines that pass through the opposing edges of a normal tetrahedron are a straightforward illustration of a pair of skew lines.
To check if two lines are skew we need to check by following the steps mentioned below:
Step 1: Find lines that do not cross one another.
Step 2: Verify that these line pairs are not also parallel to one another.
Step 3: Check whether these non-intersecting, non-parallel lines are non-coplanar. If the answer is affirmative, the selected pair of lines are skew.
Therefore, the line [tex]\overleftrightarrow{CF}[/tex] passes through point F, the line is not parallel to the line [tex]\overleftrightarrow{EH}[/tex] and is also non-coplanar. Both the lines do not intersect each other.
Hence, [tex]\overleftrightarrow{CF}[/tex] and [tex]\overleftrightarrow{EH}[/tex] are skew lines.
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What is −11 + |−5| − |−15|?
HELP NOW PLS!!!
I WILL MARK YOU BRAINLIEST
$10 off $50
Buy-1-Get-1 Half Off
Customers
Spending
More than $30
Customers
Spending
$30 or Less
Which statement best describes how the manager can check if there is an association between the two variables?
The manager must check relative frequencies by row because there are more than two different promotions.
The manager must check relative frequencies by column because there are more than two different promotions
The manager cannot use relative frequencies to look for an association because there are more than two differes
s by now and by column to look for an association.
There are more than two distinct promotions, thus the manager must verify the relative frequencies per column.
The management must examine the relative frequencies by column since there are more than two different promotions, according to the statement that best sums up the relationship between the two variables.
Relative frequency is defined.The ratio of the number of times an event happened to the overall number of events is known as the relative frequency. In essence, it is the frequency ratio between the subgroups and the entire population.
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If AABC AFDE, which of the following statements is true? O ZA ZE O
If ∆ABC and ∆FDE are congruent, then the correct statement among options is ∠C ≅ ∠E.
Congruent figures refers to the figures that can be superimposed on each other. This states that the angles and sides are similar for both the figures being compared. We are given that two triangles are congruent. Same will be true for their sides as well.
Thus, we can interpret that similar angles in the mentioned two triangles will be -
∠A ≅ ∠F
∠B ≅ ∠D
∠C ≅ ∠E
Similarly, the similar sides for both triangles will be -
AB ≅ FD
BC ≅ DE
AC ≅ FE
Therefore, in the congruent triangles ABC and FDE, ∠C and ∠E are congruent.
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