Answer:
Net change in money: decrease of $5
Step-by-step explanation:
supposing Jacob started with x dollars:
He gained $80 from babysitting: x+80
Lost 85: x + 80 - 85
--> x - 5
Therefore, at the end of the week, Jacob lost 5 dollars
What is the range of function represented by the graph below?
Answer:
y ≥ 0
Step-by-step explanation:
The range of the function is the output values.
The y value goes from 0 to infinity
y ≥ 0
Which sequence of transformations produces R’S’T’ from RST?
On a coordinate plane, triangle R S T has points (0, 0), (negative 2, 3), (negative 3, 1). Triangle R prime S prime T prime has points (2, 0), (0, negative 3), (negative 1, negative 1).
a 90degree clockwise rotation about the origin and then a translation 2 units left
a 90degree counterclockwise rotation about the origin and then a translation 2 units right
a translation 2 units left and then a reflection over the y-axis
a translation 2 units right and then a reflection over the x-axis
Answer:
A translation 2 units right and then a reflection over the x-axis
Step-by-step explanation:
The given vertices of ΔRST are R(0, 0), S(-2, 3), and T(-3, 1)
The vertices of triangle ΔR'S'T' are (2, 0), (0, -3), (-1, -1)
The points are plotted with the aid of MS Excel, and by observation, we have that the image of ΔRST is located on the other side of the x-axis with each coordinate on ΔR'S'T' shifted 2 units to the right of ΔRST
A translation of ΔRST 2 units right gives;
(0 + 2, 0) = (2, 0), (-2 + 2, 3) = (0, 3), and (-3 + 2, 1) = (-1, 1), to give;
(2, 0), (0, 3), and (-1, 1)
A reflection of the point (x, y) across the x-axis gives (x, -y)
A reflection of the above points across the x-axis gives;
(2, 0) reflected about x-axis → (2, 0) reflected about x-axis → (0, -3), and (-1, 1) reflected about x-axis → (-1, -1), which are the points of ΔR'S'T'
Therefore, the sequence of transformations that produces R'S'T' from RST are;
A translation 2 units right and then a reflection over the x-axis
Answer:
D
Step-by-step explanation:
Took quiz
graph the solution of this inequality: 4/9 x- 10 > x/3-12
Answer:
7
Step-by-step explanation:
find the slope of a line perpendicular to y=-2/3x+4/5
List the first five multiples of 6.
a )
List the first five multiples of 9.
b )
What is the Lowest Common Multiple of 6 and 9?
c)
a]. The first 5 multiples of 6 are 6, 12, 18, 24, and 30.
b]. The first 5 multiples of 9 are 9, 18, 27, 36, 45.
c]. Least common multiple (LCM) of 6 and 9 is 18.
a=6= 1,2,3,6,12
9=1,3,9,18,27
l.c.m is 1 and 3
02:Posttest 2: Fractions
6.
Order the numbers from least to greatest.
63
11
3
3
80 5 20
35
Can you help with this please and also explain?
Answer:
avocado=4
Step-by-step explanation:
Hi there!
We are given the following equations:
snail + snail - cellphone=avocado
maple leaf * cellphone=10
0+maple leaf=5
snail = cellphone + 1
avocado=?
This may seem confusing at first, but let's try to find the value of one of the items to help us to solve for the others
For example, we have the equation 0 + maple leaf= 5
Which means if we subtract 0 from both sides, we should get the value of the maple leaf
Which means that the maple leaf= 5
Now we know that maple leaf * cellphone = 10
So that means 5*cellphone=10
Divide by 5 on both sides
cellphone= 2
We know that snail = cellphone + 1
As we learned from above, cellphone= 2
Which means that snail = 2+1=3
We know that snail + snail - cellphone = avocado
And as calculated from above, snail = 3 and cellphone = 2
Which means:
3 + 3 - 2= avocado
Add
6-2=avocado
Subtract
4=avocado
Hope this helps!
How do I solve this problem: 6c - 8 - 2c = -16
Answer:
c = -2
Step-by-step explanation:
6c-8-2c = -16
4c -8 =-16
4c = -16 +8
4c = -8
4c/4 = -8/4
c = -2
Answred by Gauthmath
The solution of the equation 6c - 8 - 2c = -16 is -2 calculated by combining like terms and isolating the variable then dividing the equation by coefficient of the c variable.
To solve the equation 6c - 8 - 2c = -16, isolate the variable c on one side of the equation.
Combine like terms on the left side of the equation:
6c - 2c = 4c
The equation now becomes:
4c - 8 = -16
Take constant term on the right side of the equation by adding 8 to both sides:
4c - 8 + 8 = -16 + 8
The equation simplifies to:
4c = -8
To find the value of c, divide both sides of the equation by 4:
4c / 4 = -8 / 4
c = -2
Hence, the value of c is -2 in the equation 6c - 8 - 2c = -16.
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HELP its not 64 I keep getting it wrong for some reason :(
instructions find the perimeter of the polygon
Answer:
Step-by-step explanation:
Starting on the left side
5 + 7 = 12
7 + 6 = 13
6 + 11 = 17
11 + 5 = 16
Total = 58
PLEASE HELP!
Simplify.
x^2-3x-10/x+3/2x^2-7x-15/x^2-9
Answer:
3rd option, x^2-x-6/2x+3
The expression in the simplified form will be (x² - x - 6) / (2x + 3). Then the correct option is C.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ [(x² - 3x - 10) / (x + 3)] / [(2x² - 7x - 15) / (x² - 9)]
Simplify the expression, then we have
⇒ [(x² - 3x - 10) / (x + 3)] / [(2x² - 7x - 15) / (x² - 9)]
⇒ [(x² - 3x - 10) (x² - 3²)] / [(2x² - 7x - 15) (x + 3)]
⇒ [(x² - 5x + 2x - 10) (x - 3)(x + 3)] / [(2x² - 10x + 3x - 15) (x + 3)]
⇒ [(x - 5)(x + 2)(x - 3)] / [(2x + 3)(x - 5)]
⇒ [(x + 2)(x - 3)] / (2x + 3)
⇒ (x² - x - 6) / (2x + 3)
The expression in the simplified form will be (x² - x - 6) / (2x + 3). Then the correct option is C.
More about the Algebra link is given below.
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tìm x biết
x/7=6/-21
Answer:
x = - 2
Step-by-step explanation:
Given
[tex]\frac{x}{7}[/tex] = [tex]\frac{6}{-21}[/tex] ( cross- multiply )
- 21x = 42 ( divide both sides by - 21 )
x = - 2
Elproducto de dos numeros es 880 si el multiplicando aumenta en 20 elproducto lo hace en 260 de como respuetsa la suma de ambos numeros
Answer:
[tex]\text {La} \, \text { suma }\, \text {de} \ \text {ambos} \, \text { numeros} \, \text { es }\ 80\dfrac{9}{13}[/tex]
Step-by-step explanation:
Los parámetros dados son;
El producto de los dos números = 880
El producto del multiplicando aumentó por 20 y el otro número = 260 + el producto inicial, 880
Dejemos que x represente el multiplicando, y que y represente el otro número, tenemos;
x × y = 880
(x + 20) × y = 880 + 260
Tenemos;
(x + 20) × y = x × y + 20 × y = 880 + 260
∴ 20 × y = 260
y = 260/20 = 13
y = 13
x = 880 / y
∴ x = 880/13
La suma de ambos números = x + y = 13 + 880/13 = 1049/13 = [tex]80\dfrac{9}{13}[/tex]
Which angles are adjacent to each other?
Angle 8 and Angle 5
Angle 4 and Angle 6
Angle 5 and Angle 3
Angle 11 and Angle 8
Answer:
Angle 8 and angle 5 are the adjacent to each other
Use factoring to determine the x-intercepts and vertex of the quadratic function
y = 2x2 + 5x - 3 (pls answer)
consindering the equation ""yvariable m is the intercept ,,c constant
therefore from the equation by comparing...=mx+c where y
two similar buckets hold 13/1/2 and 4 litres respectively..find the ratio of their bucket and the height of the larger bucket is 36cm find the height of the smaller bucket
Answer:
[tex](a)\ Ratio = 13.5 : 4[/tex]
(b) The height of the smaller bucket is 10.7
Step-by-step explanation:
Given
[tex]V_L = 13\frac{1}{2}[/tex]
[tex]V_S = 4[/tex]
[tex]H_L = 36cm[/tex]
Solving (a): The ratios
This is represented as:
[tex]Ratio = V_L : V_S[/tex]
So, we have:
[tex]Ratio = 13\frac{1}{2} : 4[/tex]
Express as decimal
[tex]Ratio = 13.5 : 4[/tex]
Solving (b): The height of the smaller bucket
The ratio of the heights is:
[tex]Ratio = H_L : H_S[/tex]
So, we have:
[tex]13.5 : 4 = H_L : H_S[/tex]
Substitute known value
[tex]13.5 : 4 = 36 : H_S[/tex]
Express as fraction
[tex]4/13.5 = H_S/36[/tex]
Multiply by 36
[tex]36 * 4/13.5 = H_S[/tex]
[tex]10.7 = H_S[/tex]
[tex]H_S = 10.7[/tex]
Given the preimage and image, find the dilation scale factor
Answer:
2
Step-by-step explanation:
The image got bigger in size by a factor of 2
Answer:
should be 1/2 for sure. great day
In a survey, 60 people were asked:
Here are the results.
Complete the table below with the view of drawing a pie chart.
Type of newspaper Angle (in )
Morning newspaper
Evening newspaper
No newspaper
A map in a particular city shows that a city block to be a rectangle that is 264 feet wide and 900 feet long. If a person was to walk from the top left corner to the lower right corner along the diagonal of the block, they would walk approximately _____. Round your answer to the nearest whole foot. Enter only the number.
Answer:
1164
Step-by-step explanation:
The person would walk approximately 938 feet from the top left corner to the lower right corner of the city block.
What is Pythagoras's theorem?Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.
As per the given figure, the length of the hypotenuse is the distance the person would walk, and the lengths of the other two sides are 264 feet and 900 feet.
Using the formula for the Pythagorean theorem, we can set up the following equation:
c² = a² + b²
where c is the length of the hypotenuse, a is the length of one of the other sides, and b is the length of the remaining side.
In this case, we can substitute the known values for a, b, and c to get:
c² = 264² + 900²
c² = 69696 + 810000
c² = 879696
c = √879696
c = 937.92110
Rounded to the nearest whole foot.
c = 938 feet
Thus, the person would walk approximately 938 feet from the top left corner to the lower right corner of the city block.
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THIS IS SO HARD HELP PLEASE
Answer:
second one: EFG NML
THIRD: 82°
Find the area of a regular
polygon with 7 sides that has a
perimeter of 63 inches and an
apothem of 8 inches.
Answer:
The area of a regular polygon is A = (1/2)ap, where a is the apothem and p is the perimeter of the polygon.
The apothem is 8 inches and the perimeter is 6(7) = 42 since there are 7 sides of 6 inches.
Then the area is
A = (1/2)(8)(42) = 336/2 = 168 in2
I hope this helped!
Find the perimeter of the sector of a circle of radius 14cm with an angle of 72 degree
Answer:
the area sector is 123.2
Find the area of the shaded region. Round your answer to the nearest hundredth.
Answer:
Step-by-step explanation:
The formula for finding the area of a pentagon(regular) given 1 side is
A = [tex]\frac{1}{4}\sqrt{5(5+2\sqrt{5})}s^{2}\)[/tex]
s (the side) = 12
Area = [tex]\frac{1}{4}\sqrt{5(5+2\sqrt{5})}12^{2}\)[/tex]
Area = [tex]\frac{1}{4}\sqrt{5(5+2\sqrt{5})}144\)[/tex]
Area = sqrt(5(5 + 2*2.2361) * 36
Area = sqrt(5( 5 + 4.4721)) * 36
Area = sqrt(5*9.4721) * 36
Area = sqrt(47.3606) * 36
Area = 6.882 * 36
Area = 247.7485
The area of the circle = pi r*2 but we don't have r.
If you know any trig, the formula for the radius of the circle is
R = s/(2*sin(180)/n) n = 5 because you are using a 5 sided figure.
R = 12/(2*sin(180/5)
R = 12/2* sin(36)
R = 6 / sin(36)
R = 10.207
So the area of the circle is pi * R^2
Area = 3.14 * 10.2078^2
Area = 327.1854
The area of the shaded part is the difference between the 2 areas we found
Answer: 327.1854 - 247.7485
Answer: 79.44
Write 9cm to 1m as a ratio
Answer:
1m=100cm
9:100
hope this helps
Answer:
9/100
Step-by-step explanation:
how many cm in a meter ?
100
so, 9 cm are 9 of 100 or 9/100
Given point (-6, -3) and a slope of 4, write an equation in point-slope form.
Answer:
C
Step-by-step explanation:
6-
С
5
B
B
4-
3-
D
2-
A
А
1-
0
-7
-5
0
-6
.4
-3
-2
-1
2
3
4
5
6
-10
-2-
-3-
-4-
Which of the following sequences of transformations is used to obtain figure A'B'C'D' from ABCD?
Answer: -1
Step-by-step explanation:
Look at the patter it has
Find the interior angle sum for the following polygon
Answer:
360/ 5 is the answer
Step-by-step explanation:
follow me and please follow me
Find the equations of line in y = mx + b form...
a) Passes through the points (7, 9) and (2, -2)
Answer:
y = 11/5x - 32/5
Step-by-step explanation:
y2 - y1 / x2 - x1
-2 - 9 / 2 - 7
-11 / -5
= 11/5
y = 11/5x + b
-2 = 11/5(2) + b
-2 = 22/5 + b
-32/5 = b
What is the length of BD?
Answer:
BD = 10 √3
Step-by-step explanation:
ABC ∆ ,
BD ÷ 20 = sin 60
BD = 20 sin 60
BD = (20 √3) / 2
= 10 √3
What is the equation of the graph
Answer:
y=6^x-2
Step-by-step explanation:
Start with the parent function, a^x. The graph looks like it has been translated b units down, so our function is a^x+b. Now at x=0, y=-2. So b=-2. Next at x=1, y=3. 3=a^(1)-2, a=6. y=6^x-2 is the equation
Consider the piecewise function shown on the graph. Over which interval of the domain does the graph represent an exponential function?
I think the answer is c in which graph shown in the above
Answer:
see attached, x>=1
Step-by-step explanation: