Part A (4 points): Tonya selected a pair of shoes for the regular price of $80. How much money will she save by using the 20% off coupon? Justify your answer using equations, models, and/or words to explain your mathematical reasoning.
Find the equation of a line parallel to y - 5x = 10 that passes through the point (3, 10). (answer in slope-intercept form)
The midpoint of ab is =m, −3−2 . one endpoint is =a, 2−8 . find the coordinates of the other endpoint,
b.
Write y = 3x^2-12x+11 in vertex form. I know the answer, just dont know how to show the work.
The equation in vertex form is given as:
y = a (x - h) ² + k where a, h, and k are constant.
The equation y = 3x² - 12x + 11 in vertex form is y = 3(x - 2)² + 7.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The equation in vertex form is given as:
y = a (x - h) ² + k where a, h, and k are constant.
We have,
y = 3x² - 12x + 11
3x² - 12x can be written as:
Taking out common value.
3(x² - 4x).
Now,
y = 3(x² - 4x) + 11 _____(A)
x² - 4x can be written as:
Squaring we get,
= x² - 2.2x + 2² - 2²
= (x² - 2.2x + 4) - 4
[ (a - b)² = a² - 2ab + b ]
= (x - 2)² - 4 ________(B)
Now,
From (A) and (B) we get,
y = 3 (x - 2)² - 4 + 11
y = 3(x - 2)² + 7
Thus,
The equation y = 3x² - 12x + 11 in vertex form is y = 3(x - 2)² + 7.
Learn more about equations here:
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Frank’s bookshelf is 1 1/2 meters high. Each row in the bookshelf is 3/16 meters high. How many rows are there in Frank’s bookshelf?
will give brainliest to a reasonable answer :P
a)3
b)6
c)8
d)12
Answer:
8 rows
Step-by-step explanation:
Find the sum of the first 17 terms of the arithmetic sequence 10, 14, 18, 22, 26...
How do I find the value of b
Quick Question. After dividing 30 by 2, do I multiply 15 by 3 or add 3 it to? (for question d) And thanks!
Answer:
6
Step-by-step explanation:
If a square has side length s, then the perimeter is less than the area.
s = 3
s = 5
s = 7
s = 9
write an algebraic expression for the word phrase 40% of x
The algebraic expression for the word phrase 40% of x is 0.40x.
Explanation:The algebraic expression for the word phrase 40% of x is 0.40x. To find 40% of x, you multiply x by 0.40. This means that 40% of x is equal to 0.40 times x.
Final answer:
To write an algebraic expression for the phrase '40% of x', multiply x by 0.40, resulting in the expression 0.40x.
Explanation:
The student is asking to write an algebraic expression for the phrase 40% of x. To convert this phrase into an algebraic expression, we take into account that "of" typically means multiplication in mathematics, and we know that 40% can be written as 0.40. Therefore, the algebraic expression for 40% of x is 0.40 * x or 0.40x.
Emelina wrote the equation of a line in point-slope form as shown below.
(y+4)=3(x+2)
What is Emelina’s equation in slope-intercept form?
y = 3x + 2
y = 3x +10
y = 3x – 4
y = 3x – 10
Answer: [tex]y=3x+2[/tex]
Step-by-step explanation:
Given: Emelina wrote the equation of a line in point-slope form as shown below.
[tex](y+4)=3(x+2)[/tex]
To write the equation in intercept form, first we multiply 3 inside the bracket values in the right side , we get
[tex]y+4=3x+6[/tex]
Now, subtract 4 from both sides , we get
[tex]y=3x+2[/tex]
Hence, Emelina’s equation in slope-intercept form : [tex]y=3x+2[/tex]
Answer: A. y = 3x + 2
Step-by-step explanation:Because it matches up the most to the problem. Its A. Have a great day and stay safe <3
james conducted an eperent with 4 possible outcomes he determine that the eperimental probability
A square scarf is folded in half to form a rectangle. if the resulting rectangle has a perimeter of 15 inches, what are the area and perimeter of the square scarf?
A landscaper builds a square garden behind a house.if the outside border of the garden consist of 36 feet of bricks then what is the area of the garden in square feet?
What is the value of x?
enter your answer in the box
x = [ ]
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
We have been given an image of two right triangles and we asked to find the value of x.
First of all , we will find the length of segment RT using sine.
[tex]\text{Sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}[/tex]
Upon substituting our given values in above formula we will get,
[tex]\text{Sin}(60^{\circ})=\frac{2\sqrt{3}}{RT}[/tex]
[tex]RT=\frac{2\sqrt{3}}{\text{Sin}(60^{\circ})}[/tex]
[tex]RT=\frac{2\sqrt{3}}{\frac{\sqrt{3}}{2}}[/tex]
[tex]RT=\frac{2\sqrt{3}}{\sqrt{3}}\times 2[/tex]
[tex]RT=2\times 2[/tex]
[tex]RT=4[/tex]
Now we know that length of segment RT and angle QRT of triangle QRT, so we will use tangent to find the length of segment QR (x) as:
[tex]\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]
[tex]\text{tan}(45^{\circ})=\frac{x}{4}[/tex]
Multiplying both sides of our equation by 4 we will get,
[tex]\text{tan}(45^{\circ})*4=\frac{x}{4}*4[/tex]
[tex]\text{tan}(45^{\circ})*4=x[/tex]
Substituting [tex]\text{tan}(45^{\circ})=1[/tex] we will get,
[tex]1*4=x[/tex]
[tex]4=x[/tex]
Therefore, the value of x is 4 units.
if two angles of one polygon are equal to two angles of a second polygon then the two polygons are similar
A. always
B. sometimes
c. never
Final answer:
The statement is B. sometimes true. Two polygons are similar if their corresponding angles are equal and their corresponding sides are in proportion. However, it is possible for two polygons to have equal angles and not be similar if their sides are not in proportion.
Explanation:
The statement that if two angles of one polygon are equal to two angles of a second polygon then the two polygons are similar is sometimes true.
Two polygons are similar if their corresponding angles are equal and their corresponding sides are in proportion. Therefore, if two angles of one polygon are equal to two angles of a second polygon, it is possible that the polygons are similar, but it is not always the case.
For example, consider two rectangles. Both rectangles have two pairs of equal angles, but they may not be similar if their sides are not in proportion.
If the ratio of raisins to bran flakes in a box of raisin bran flakes cereal is 3:27, how many raisins are there in a box that contains 3,000 raisins and bran flakes
Answer:
320?
Step-by-step explanation:
sorry if its wrong edg 2020
Jack invests $500 at a certain annual interest rate, and he invests another $2000 at an annual rate that is one-half percent higher. if he receives a total of $85 interest in 1 year, at what rate is the $500 invested?
Final answer:
The $500 was invested at an annual interest rate of 3%.
Explanation:
Let's assume the interest rate for the $500 investment is x %. Therefore, the interest rate for the $2000 investment would be (x + 0.5) %, since it is one-half percent higher.
The total interest received is $85. So, we can set up the equation:
$500(x/100) + $2000((x + 0.5)/100) = $85
Simplifying and solving the equation, we get:
5x + 20(x + 0.5) = 85
5x + 20x + 10 = 85
25x = 75
x = 3
The $500 was invested at an annual interest rate of 3%.
The number of transistors per square inch on an integrated chip doubles every 18 months. this observation is known asâ ________ law.
It takes a groundskeeper 40 minutes to prepare a little league baseball field for a game. it takes his assistant 50 minutes to prepare the same field. how long will it take if they work together to prepare the field
There are two positive numbers. four times the small number plus 3 times the big number is 41. two times the small number plus the big number is 15. what is 10 times the big number minus 6 times the small number;
Final answer:
To find the value of 10 times the big number minus 6 times the small number, we need to solve a system of equations. The solution to the system is x = 2 and y = 11, so the value of 10y - 6x is 98.
Explanation:
To find the value of 10 times the big number minus 6 times the small number, we need to solve the system of equations:
4x + 3y = 41 (equation 1)
2x + y = 15 (equation 2)
We can first solve equation 2 for y by subtracting 2x from both sides: y = 15 - 2x. Now we can substitute this value of y into equation 1:
4x + 3(15 - 2x) = 41
Simplifying, we get: 4x + 45 - 6x = 41
Combining like terms, we have: -2x + 45 = 41
Subtracting 45 from both sides, we get: -2x = -4
Dividing both sides by -2, we get: x = 2
Now we can substitute this value of x back into equation 2 to solve for y:
2(2) + y = 15
Simplifying, we get: 4 + y = 15
Subtracting 4 from both sides, we get: y = 11
Finally, we can calculate 10 times the big number minus 6 times the small number:
10y - 6x = 10(11) - 6(2) = 110 - 12 = 98
what is the slope of the line
The concession stand at a sports arena sells large 3-pints sodas. on an average night four sodas are sold each minute. how many gallons of soda are sold per hour?
One linear function, t(x), can be modeled by the values in the table below. A second linear function can be modeled by the equation 4x − y + 4 = 0. When comparing the x-intercepts of these lines, which function has the largest x-intercept and what is this value?
x t(x)
−3 0
0 −4
3 −8
6 −12
9 −16
t(x) has the largest x-intercept: −4.
4x − y + 4 = 0 has the largest x-intercept: −1.
t(x) has the largest x-intercept: −3.
4x − y + 4 = 0 has the largest x-intercept: 4.
Answer:
a
Step-by-step explanation:
Help!!!!!!!!!!!!!!!!!!!!!!!!!
solve the equation 12+ 0.35×=20.05
1.Solve for y.
(first picture
y =
2.What is the value of y?
(second picture
y =
Now that you have selected the correct unit above, what is the value of x?
Eight times the reciprocal of a number equals 4 times the reciprocal of 8. find the number
How do you factor trinomials with a common monomial factor?