Answer:
(0, -12)
Step-by-step explanation:
The y-intercept of a line can be found when taking x = 0.
Therefore,
y = 0 - 12y = -12The y-intercept of the line is (0, -12)
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[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
◈ What is the y-intercept of the line, [tex]\bold{y=\dfrac{x}{5} -12}\textit{?}[/tex]
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond[/tex]
◈ Here's a shortcut to find the y-intercept.
Here's the equation:-
[tex]\large\textbf{y=x/5-12}[/tex]
[tex]\square\!\!\!\!\!\!\triangle[/tex] The y-intercept is a negative or positive constant that's added to or subtracted from the slope.
Constant:- A number with no variables next to it (for example, in the expression d-12, -12 is the constant)
So we conclude that
[tex]\Huge\textit{The y-intercept is -12}[/tex].
The y-intercept is usually written as (0, -12).
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convert 32 table spoons to cup
Answer:
2 cups
Step-by-step explanation:
Formula: divide the volume value by 16
so its 32 divided by 16
8. (09.04 LC)
A circle is centered at (-3, 2) and has a radius of 2. Which of the following is the equation for this circle? (6 points)
O (x + 3)2 + (y - 2)2 = 2
O (x - 3)2 + (y + 2)2 = 4
O (x + 3)2 + (y - 2)2 = 4
O (x - 3)2 + (y + 2)2 = 2
Answer:
(x + 3)² + (y -2)² = 4
Explanation:
Circle Formula: (x -h)² + (y -k)² = r²
"r" is radius, "h" is x coordinates of center, "k" is y coordinate of center.
Here given:
h = -3, k = 2, r = 2Insert values:
(x -(-3))² + (y -2)² = 2²
(x + 3)² + (y -2)² = 4
What is 2/8 in its simplest form
Answer:
14
Step-by-step explanation: because you find a common number that both the numerator and the denominator can be divided by. In this case, it is 2 . You can't divide 14 anymore so that is the final answer.
Help please!!!!! FIRST CORRECT GETS BRAILIEST
Answer:
I think it is D, if I am wrong I am sooooo sorry
Which doubles fact helps help you solve 5+6=11
We have to double 5 and add 1 to get the same result.
5 + 5 + 1 = 11
We can also double 6 and subtract 1 to get the same result.
6 + 6 - 1 = 11
Hope this will helpful.
Answer:
They can use counters or their fingers, but they can also use doubles facts. If they know 5 + 5 = 10, they know that the sum of 5 + 6 will be one more. Thus, 5 + 6 = 11. Practice solving other doubles-plus-one facts together, such as 3 + 4, 7 + 8, and 9 + 8.
Enter the coordinates of the point on the unit circle at the given angle. 120°
The coordinate is (-1/2, √3/2) and the missing values will be 2 and 3 if the angle is 120 degree.
What is the polar equation?A polar coordinate system is a two-dimensional coordinate system in which a distance from a reference point and an angle from a reference direction identify each point on a plane.
We have an angle of 120 degree
θ = 120 degree
r = 1 unit
As we know, the coordinate in the polar form from the rectangular form is:
x = rcosθ = cos120 = -1/2
y = rsinθ = sin120 = √3/2
Thus, the coordinate is (-1/2, √3/2) and the missing values will be 2 and 3 if the angle is 120 degree.
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Need help with this question and also need to know how to put this on a calculator. It's in the picture.
Answer:
f(-3) = 36g(5) = -21Step-by-step explanation:
f(x) = 3x² - 3x
g(x) = -5x + 4
Find the value of the function when x = -3:
f(x) = 3x² - 3x
f(-3) = 3(-3)² - 3(-3)
f(-3) = 3(9) + 9
f(-3) = 27 + 9
f(-3) = 36
Find the value of the function when x = 5:
g(x) = -5x + 4
g(5) = -5(5) + 4
g(5) = -25 + 4
g(5) = -21
Hope this helps!
i need help with 7th grade math please 30 points need help ASAP + brainleist
Answer:
See below ~
Step-by-step explanation:
Circle 1
Circumference = 2πr = 2 x 3.14 x 2.5 = 5 x 3.14 = 15.7 mArea = πr² = 3.14 x (2.5)² = 3.14 x 6.25 = 19.625 m²Circle 2
Area = πr² = 3.14 x 1² = 3.14 mm²Circumference = 2πr = 2 x 3.14 x 1 = 6.28 mmAnswer:
circumference with diameter 5=15.7m
area with diameter 5=19.625m²
Select the expression that represents the following statement: multiply the difference of 5 and 2 by 7, and then add 6. 7 x (5 − 2) + 6
5 + 2 x 7 + 6
7 x (5 + 2) − 6
6 − 2 + (7 x 5)
Answer:
7(5-2)+6
Step-by-step explanation:
difference - subtraction
putting the 7 next to it means that it will multiply times that first
Graph the equations to find the solution(s) to the system. y=x+3y=13(x+5)(x−1) Use the Line tool to graph the line. Use the Parabola tool to graph the parabola. Choose maximum or minimum point first and then a point on the parabola.
The solutions to the equations are (1.702,4.7) and (-4.7,-1.7).
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The two given equations ( x + 3 ) and ( 13 ( x+5)(x-1) intersects at the ponits (1.702,4.7) and (-4.7,-1.7).
The graph of the above equations is attached with an answer.
Therefore the solutions to the equations are (1.702,4.7) and (-4.7,-1.7).
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Matthew had to make a bridge for his math class. It had to be at least 1 1/2 feet long. Harold made a bridge that was 2 1/3 times as long as Matthew’s. What equation would you use to find out how long Harold’s bridge is?
The equation used for finding the length of Harold's bridge will be 3H-7M=0 Length will be H = 1/√2
What is an equation?
The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Here we have the following data:-
Matthew's bridge length is
1(1/2)=3/2
Now we have that Harold made a bridge that was 2 1/3 times as long as Matthew’s. From this data the equation will be:-
[tex]H=2\dfrac{1}{3}M\\\\\\H-\dfrac{7}{3}M=0\\\\\\3H-\dfrac{7\times 3}{2}=0\\\\\\H=\dfrac{1}{\sqrt{2}}[/tex]
The equation used for finding the length of Harold's bridge will be 3G-7M=0 Length will be H = 1/√2
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Can someone explain this step by step for me? its from a review so ignore my wrong answer. Thank you!
Answer:
[tex]P(\text{Male}|\text{Divorced})\approx0.092[/tex]
Step-by-step explanation:
[tex]\displaystyle P(\text{Male}|\text{Divorced})=\frac{P(\text{Male and Divorced})}{P(\text{Male})}=\frac{\frac{9.6}{214.7}}{\frac{104.5}{214.7}}\approx0.092[/tex]
We can even break this down further by simply only looking at the total amount of males, and finding the proportion of males that are divorced, which is [tex]\frac{9.6}{104.5}\approx0.092[/tex], the same value.
Note that P(Male | Divorced) means the probability of choosing a male, given (|) that person is divorced.
What is the value of y = (x – r1)(x – r2) at r1 and r2
Answer:
0
Step-by-step explanation:
To find the value of an expression for specific values of the variable, substitute those values for the variable and do the arithmetic.
__
at x=r1y = (r1 -r1)(r1 -r2) = 0×(r1 -r2)
y = 0
at x=r2y = (r2 -r1)(r2 -r2) = (r2 -r1)×0
y = 0
The value of y at x=r1 and x=r2 is 0.
_____
Additional comment
The values r1 and r2 are called the "zeros" of the function y, because the value of the function is zero there. These values can be seen to be the opposites of the constants in the factors of y. (r1 is the opposite of -r1 in the first factor, for example.)
A quadratic function has 2 distinct roots. Always never sometimes
Answer:
Always
Step-by-step explanation:
[tex]ax^{2} + bx + c = 0[/tex]
What is the quotient?
-3/8 divided -1/4
Answer:
3/2 or 1.5
Step-by-step explanation:
(-3/8) ÷ (-1/4)
Copy dot flip
=(-3/8)* (-4/1)
=12/8
=3/2 or 1.5
Which is an equation of the line passing through (-2,3) and perpendicular to the line
5x-y=12?
Answer:
y = -1/5x + 2.6
Step-by-step explanation:
Put the equation into slope intercept form:
5x - y = 12
-y = -5x + 12
y = 5x - 12
The slope of a perpendicular line will be the opposite reciprocal.
So, the slope of the new line will be -1/5
Then, plug this slope and the given point into the equation y = mx + b to find b
y = mx + b
3 = -1/5(-2) + b
3 = 0.4 + b
2.6 = b
So, the equation will be y = -1/5x + 2.6
Help! Is my working correct/wrong? If my working is wrong, sorry to trouble you but can you pls correct it?
THANKS IN ADVANCE!!
NONSENSE = REPORT
NO ALGEBRA! PLEASE! THANKS!!!!!
Answer:
∠ e = 20°
Step-by-step explanation:
you should have also subtracted 2e from the 360
since UV is a straight line, the angles lying on it sum to 180° , that is
90° + e + 70° = 180°
e + 160° = 180° ( subtract 160° from both sides )
e = 20°
PLEASE HELP PLEASE HELP
Answer: 20:21
Step-by-step explanation: The Greatest Common Factor is 4, 80 divided by 4 is 20 and 84 divided by 4 is 21
Hope this helps
Answer:
20:21
Step-by-step explanation:
Expressing a number or more in their simplest form simply means expressing them to their lowest terms. You can divide 80:84 with 2 or 4. To make it faster, just divide both by 4 and you'll get 20:21 which is the final answer, no other number can divide 20:21.
I hope this helps.
Solve for xxx.
Enter the solutions from least to greatest.
(-5x +4)(x -3)=0(−5x+4)(x−3)=0left parenthesis, minus, 5, x, plus, 4, right parenthesis, left parenthesis, x, minus, 3, right parenthesis, equals, 0
\text{lesser }x =lesser x=start text, l, e, s, s, e, r, space, end text, x, equals
\text{greater } x =greater x=start text, g, r, e, a, t, e, r, space, end text, x, equals
Then the two solutions of the quadratic equation are 4/5 and 3.
How to solve the equation?
Here we want to solve the quadratic equation:
(-5x + 4)*(x - 3) = 0
The two solutions are the values of x for which each parenthesis becomes equal to zero, so the two solutions are given by:
-5x + 4 = 0
x - 3 = 0
If we solve these two equations we get:
x = -4/-5 = 4/5
x = 3
Then the two solutions are 4/5 and 3.
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14 numbers are written in a row so that the sum of any three consecutive numbers is 19, and that the sum of all the numbers is 77. Find the 9th number.
Step-by-step explanation:
The series of numbers that meets the
requirements is 5+6+8+9+4+6+7+3+9+2+8+9+1.
How to check that the series meets the requirements?
To verify that the series meets the requirements, we must establish what the requirements are:
●Every 3 consecutive numbers must add up to 19.
●In total there must be 14 numbers.
●The total sum of all the numbers must be 77
To verify that every 3 consecutive numbers add up to 19, we separate them into 4 groups of 3 and one number is left over.
5 + 6 + 8 = 19
9 + 4 + 6 = 19
7 + 3 + 9 = 19
2 + 8 + 9 = 19
In total there must be 14 numbers and they must add up to 77.
5+6+8+9+4+6+7+3+9+2+8+9+1 = 77
In an arithmetic sequence, the sum of the second and eighth terms is $5$, and the product of the fourth and fifth terms is also $5$. What is the $20$th term of this sequence?
Answer:
10
Step-by-step explanation:
Let $a_n$ be the $n$th term of this sequence. We know $a_2 + a_8 = 5$, and that forces $a_5 = \dfrac 5 2$, the average of these terms.
Then $a_4a_5 = 5$ gives us $a_4 = 2$.
The common difference is $\dfrac 1 2$, and in general, $a_n = \dfrac n 2$.
Therefore the $20$th term is $\dfrac{20}{2} = \boxed{10}$.
The 20th term of the arithmetic sequence will be equal to [tex]T_{20}=10[/tex]
What is arthematic sequence?Arthematic sequence is the type of the number series in which the difference between the first and the second term is always constant in the whole series.
Let [tex]$a_n$[/tex] be the nth term of this sequence.
We know
[tex]$a_2 + a_8 = 5$[/tex], and that forces [tex]$a_5 = \dfrac 5 2$[/tex], the average of these terms.
Then [tex]$a_4a_5 = 5$[/tex] gives us [tex]a_4 = 2$.[/tex]
The common difference is [tex]\dfrac 1 2$,[/tex]and in general, [tex]$a_n = \dfrac n 2$[/tex].
Therefore the 20th term is
[tex]T_{20}=$\dfrac{20}{2} = \boxed{10}$.[/tex]
Hence the 20th term of the arithmetic sequence will be equal to [tex]T_{20}=10[/tex]
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Complete the table above. Also, find the number students that can be chaperoned by 9 teachers.
A circular ring has a diameter of 20 meters, find its circumference.
Answer:
62.8 meters
Step-by-step explanation:
Use the formula for circumference.
[tex]C = d\pi \\C = 20(3.14)\\C = 62.8[/tex]
Find the median, first quartile, third quartile, and interquartile range of the data.
14,25,97,55,66,28,92,38,94
Find the median, first quartile, third quartile, and interquartile range of the data.
14,25,97,55,66,28,92,38,94
Answer:
BELOW IN BOLD.
Step-by-step explanation:
14,25,97,55,66,28,92,38,94
Arrange these in ascending order:
= 14 25 28 38 55 66 92 94 97
The median = middle number = 55.
First quartile = (25+28)/2 = 26.5.
Third quartile = (92 + 94)/2 = 93.
Interquartile range = 93 - 26.5 = 66.5.
. Bri replaced the window blinds on 42 of the 60 windows in the library. Which percent
is equivalent to
Answer:
70%
Step-by-step explanation:
42/60 x 100 = 70%
need help due in 10 mins
Answer:
A) The amount of money deposited monthly
Step-by-step explanation:
y = 35x (slope) (amount deposited each month)+ 250 (y-intercept) (starting amount)
Given the information marked on the figures below, classify each quadrilateral as a "Parallelogram" or "Not necessarily a parallelogram."
Note that each figure is drawn like a parallelogram, but you should not rely on how the figure is drawn in determining your answers.
If necessary, you may learn
The quadrilateral which can be considered as a "Parallelogram" or "Not necessarily a parallelogram. are second and fourth figure.
"The correct figures are (b) and (d)
What is a parallelogram?A parallelogram is a quadrilateral with opposite sides parallel (and therefore opposite angles equal).
The first one is a parallelogram because, the angle are shown are alternate interior angles which defined between two parallel lines.The second one is not a parallelogram because, the angle are shown are alternate interior angles which should defined between two parallel lines. But there are no parallel lines.The third one is not a parallelogram because, the parallelogram have opposite angles are equals not the adjacent angle.Here the adjacent angle are given equal.
The fourth one is a parallelogram because, the opposite side of parallelogram are equal and parallel to each other.Learn more about parallelogram here:
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Holly scored an 88, 91, 89, 84, and a 98 on the last five math tests. What is her mean test score?
Answer:the mean is 90
Step-by-step
you find the sum of the values then divide them by the amount of numbers in the set
During Year 1, Hardy Merchandising Company purchased $40,000 of inventory on account. Hardy sold inventory on account that cost $24,500 for $38,000. Cash payments on accounts payable were $22,000. There was $26,000 cash collected from accounts receivable. Hardy also paid $5,100 cash for operating expenses. Assume that Hardy started the accounting period with $20,000 in both cash and common stock.
Answer:
Step-by-step explanation:
-40,000
+24500
+38000
+22000
+26000
-5,100
total gain =65000
Please help! I forgot to study..
Answer:
mean: $13.50
median: $11
mode: $10
range: $26
hope this helps:)
Answer:
The mean is 13.5, median is 11, mode is 10, and for the range, it's 26
Step-by-step explanation:
For the mean, you add all the numbers up 4+30+10+12+10+20+12+10 = 108. Then you divide by how many terms there are which is 8 and then you get 13.5.
The median is the middle value in a list ordered from smallest to largest. So that is why you get 11.
The mode is the most frequently occurring value on the list and we can tell that 10 is the most occuring in this list.
Finally we have the range. To find the range you subtract the highest amount to the lowest amount. 30 - 4 = 26.
