We can see that the y-intercept of the line is [tex]-2[/tex] and its slope is [tex]-\frac{2}{3}\\[/tex] since to get from [tex](-3,0)[/tex] to [tex](0,-2)[/tex] we have to run by [tex]3[/tex] units to the right and rise by [tex]2[/tex] units down. The the equation of your line in slope-intercept form is [tex]y = -\frac{2}{3}x -2\\[/tex]. All we have to do now is to rewrite it in standard form.
[tex]y = -\frac{2}{3}x -2\\ 3(y) = (-\frac{2}{3}x -2)3 \\ 3y = -2x -6 \\ 2x +3y = -2x -6 +2x \\ 2x +3y = -6 [/tex]
Answer:[tex]2x +3y = -6[/tex]
Kristy rides 6 miles on her bicycle in 40 minutes. Jax rides 4 miles on his bicycle in 30 minutes. Who is faster? Remember to support your answer with a mathematical statement!
Answer: Kristy
Step-by-step explanation: 6x=40 4x=30, 40/6 is 6.6 repeating which means she travels a mile in 6.6 minutes and 30/4 is 7.5. 6.6 repeating is lower than 7.5 which means it is faster.
Help me on this please
Answer:
D. y = 5
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Any parallel line to the x-axis will be a horizontal line.
Horizontal lines have a slope of 0.
In that case:
y = 0x + b
y = b
The only answer that fits in the y = b format is D.
Read the power and then check all that apply. 34 = 3 × 3 × 3 × 3 A power is a shorter way to write repeated multiplication. The base is 3. The base is 4. The exponent is 3. The exponent is 4. The exponent tells you to multiply the 3 together 4 times. The exponent tells you to multiply the 4 together 3 times.
Answer:
the right one's are
1,2,5,6
Step-by-step explanation : I hope this helps everyone
Answer:
The Answers our:
Step-by-step explanation:
A: A power is a shorter way to write repeated multiplication.
B: The base is 3
E: The Exponent is 4
F: The exponent tells you to multiply the 3 together 4 times.
Solve the equation 4(x – 2) = 3x + 1. Question 15 options: A) 3 B) 8 C) 9 D) 2
Answer:
x = 9
Step-by-step explanation:
Step 1: Write equation
4(x - 2) = 3x + 1
Step 2: Solve for x
Distribute 4: 4x - 8 = 3x + 1Subtract 3x on both sides: x - 8 = 1Add 8 to both sides: x = 9Step 3: Check
Plug in x to verify it's a solution.
Substitute: 4(9 - 2) = 3(9) + 1Parenthesis (add): 4(7) = 3(9) + 1Multiply: 28 = 27 + 1Add: 28 = 28Jose paid 47.00 for 4 movie tickets. Each ticket costs the same amount.what was the cost of each movie ticket in dollars and cents
Answer:
$11.75
Step-by-step explanation:
In order to solve this problem, you divide $47.00/4. When you do that, you get $11.75
Mrs. Greene wants to plant a vegetable garden in her yard. She purchased a package containing 30 sections of fencing, each 1-foot long If she uses all 30 sections to create rectangular space, how many different arrangements are possible? What is the largest area she can enclose for her garden with this fencing?
Answer:
The largest area she can enclose for her garden with this fencing is [tex]56 ft^2[/tex]
Step-by-step explanation:
Suppose the rectangular space Mrs. Greene wants to plant has dimensions x feet and y feet.
Since each section of fencing is 1-foot long, both x and y must be integer numbers.
The perimeter of the rectangular space is calculated as:
P = 2x + 2y
And we know she uses all 30 sections of fencing, thus:
2x + 2y = 30, where x, y are integers and positive.
Simplifying by 2:
x + y = 15
Solve for x:
x = 15 - y
This equation doesn't have infinitely many solutions, since both numbers must be integers and positive. Suppose we start by setting y=1, then x=14. That is a possible arrangement for the garden.
Another valid option is for y=2, x=13
Continuing with these patterns, we find the maximum value for y is 7, x=8, because if we set y=8, x=7, this is the same condition as y=7, x=8.
Thus, from y=1 to y=7, there are 8 possible combinations for the arrangement of the garden.
The area of a rectangle is
[tex]A=x\cdot y[/tex]
Testing some possible arrangements:
y=1, x=14
[tex]A=1\cdot 14= 14 ft^2[/tex]
y=2, x=13
[tex]A=2\cdot 13= 26 ft^2[/tex]
y=3, x=12
[tex]A=3\cdot 12= 36 ft^2[/tex]
We can notice the combination y=7, x=8 has an area of:
[tex]A=7\cdot 8= 56 ft^2[/tex]
This is the largest possible area of all combinations, thus:
The largest area she can enclose for her garden with this fencing is [tex]56 ft^2[/tex]
i will give u brainliest
Answer:
X = 125 degress
Step-by-step explanation:
Because this is in a straight line, and we know that a straight line is 180 degress..
So 55 + X should equal 180 degress.
Which means we subtract 180 and 55 = 125 degress.
To check add 125 + 55, it should give you the answer 180 degress :)
Hope this helped :)
write the equation of the graph
2/5(10x+25)
Simplify
Brainly
Answer:
4x+10
Step-by-step explanation:
77 is left over when a number x is decreased by 109.
Find x
What is happening here?
What is the opposite operation?
Check by substituting
Answer:
186
Step-by-step explanation:
77+109=186
186-109=77
x=186
Hope this helps!
Nedd help for this one
Answer:
20, -7, -14, 10, -5, 8
20 + 10 + 8 + (-5) + (-7) + (-14) - organize all values (makes it easier to add)
38 + (-26) - add like terms
12
12/6 -divide sum by number of values
2 - answer
hopes this helps
Step-by-step explanation:
Given m//n, find the value of x
Answer:
117 is the value of you Question
Step-by-step explanation:
The length of a iPhone is 15 cm and the width of the iPhone is 7.4 cm. What is the maximum area?
Answer:
111 cm squared
Step-by-step explanation:
15x 7.4
What is the growth of the rule y=3x+5 ?
Need a number answer
4. Evaluate the following expression for r= 5.
2(r2 - 8)
Answer:
The expression is equal to 4
Step-by-step explanation:
Given the expression 2(r2-8) and the equality for the variable r = 5. It is best to substitute this equality into the expression to solve for its corresponding value:
2(r2-8) =
2(2(r)-8),
2(2(5)-8),
2(10-8),
2(2),
4
Jose had the following division problem for homework. What is the quotient?
$0.56
$5.60
$56.00
$560.00
Answer: it’s C
Step-by-step explanation: I took the test :)
Answer:
C
Step-by-step explanation:
mark the other guy
:)
What is the graph for y=3(x-1)^2
Answer:
I attached it
Step-by-step explanation:
anya bought 1.3 pounds of apples. She used 0.28 pound in a pie. How much is left? Use the bar diagram to help you
Answer:
1.02 pounds left
Step-by-step explanation:
Skip the bar graph, just subtract .28 from .30 and voila!
A box contains 10 tags, numbered 1 through 10, with different numbers on each tag. A second box contains 8 tags, numbered 20 through 27 with a different number on each tag. One tag is drawn at random from each box. What is the expected value of the sum of the numbers on the two selected tags?
Answer:
29
Step-by-step explanation:
Given that:
Bag 1 : Bag contains 10 tags numbered 1 - 10 with different numbers on each
Bag 2: Another bag with 8 tags numbered from 20 - 27
Two Tags are drawn at random, one from each bag; Expected value of the sum of numbers on the two selected tags :
Expected value = mean of numbers in bag 1 + mean if numbers in bag 2
E(X) = (bag 1 minimum + maximum) / 2 + (bag 2 minimum + maximum) / 2
E(X) = [(1 + 10) / 2] + [(20 + 27) / 2]
E(x) = (11/ 2) + (47/2)
E(x) = 5.5 + 23.5
E(x) = 29
Hence, expected value of sum if numbers from each draw = 29
Which statement describes the behavior of the graph of the function shown at the vertical asymptotes?
As x approaches -7 from the left, y approaches ∞.
As x approaches -7 from the right, y approaches -∞.
As x approaches 7 from the left, y approaches –∞.
As x approaches 7 from the right, y approaches –∞.
Answer:
its D
Step-by-step explanation:
if you look at the graph I shared, the end behaviors are
As x approaches -7 from the left, y approaches -∞.
As x approaches -7 from the right, y approaches ∞.
As x approaches 7 from the left, y approaches ∞.
As x approaches 7 from the right, y approaches –∞.
The only one that maches this description is D
Answer:d
Step-by-step explanation:
just d
Solve for x and y in the diagram below
Answer:
x= 39
y= 123
Step-by-step explanation:
Please see the attached picture for the full solution.
I start at 5,6 and move 4 units down what will i end up with
Answer:
5,2
Step-by-step explanation:
since you're moving down the y-axis you will subtract 4 from 6 because 6 is on the y-axis
5 stays the same since you're not moving on the x-axis
(5,2)
How does the Electoral College work?
A
It guarantees that the winner of the popular vote wins the presidency.
B
The Electoral College casts its votes on the first Tuesday in November.
The Electoral College casts its votes on January 20.
D
Each state casts a number of electoral votes equal to their members of Congress.
Answer:
D
Step-by-step explanation:
the number of pounds of dog food that a pet store has is represented by the equation
How many pounds of dog food will the pet store have after 21 days?
Answer:
what is the equation?
Step-by-step explanation:
write an equation in slope-intercept form of the line that passes through the points (-2,3) and (2,7)
Answer:
y = x+5
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
= ( 7-3)/(2 - -2)
( 7-3)/(2+2)
4/4
1
Then slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = 1*x+b
y = x+b
Substitute a point into the equation
7 = 2+b
7-2 =b
5=b
y = x+5
Answer:
M=1
Step-by-step explanation:
find the slope (M)
the slope is 1
Hope this helps Bodhi,
what is the average rate of change for the line graphed in the figure above
Answer:
5/8
Step-by-step explanation:
I used the slope formula of y2-y1/x2-x1
Th e NCAA recommends that a competition diving pool intended for use with two 1-m springboards and two 3-m springboards, in addition to diving platforms set at 5 m, 7.5 m, and 10 m above the water, have a width of 75 ft 1 in., a length of 60 ft, and a minimum water depth of 14 ft 10 in. What is the minimum volume of water such a pool would hold in cubic yards, to the nearest whole number?
Answer:
The volume of the swimming pool is approximately 2475 yd³ to the nearest whole number
Step-by-step explanation:
The given information are;
The width of the swimming pool = 75 ft. 1 in.
The length of swimming pool = 60 ft.
The depth of the swimming pool = 14 ft. 10 in.
Therefore;
The volume of the swimming pool = Width × Length × Depth
The volume of the swimming pool = 75 ft. 1 in. × 60 ft. × 14 ft. 10 in.
The volume of the swimming pool = 901 in. × 720 in. × 178 in. = 115472160 in.³
1 in.³ = 2.14335 × 10⁻⁵ yd³
∴ 115472160 in.³ = 115472160 in.³ × 2.14335 × 10⁻⁵ yd³/in³ ≈ 2474.969 yd³
Which gives;
The volume of the swimming pool ≈ 2475 yd³ to the nearest whole number.
A doctor estimates that a particular patient is losing bone density at a rate of 3% annually. The patient currently has a bone density of 1,500 kg/mg3. The doctor writes an exponential function to represent the situation. Which values should the doctor use for a and b in a function written in the form f(x) = abx, where f(x) represents the bone density after x years?
Answer:
Step-by-step explanation:
gud question
In the diagram below
Answer:
m∠A = 39°
Step-by-step explanation:
From the figure attached,
BE ≅ BC
m∠C = 32°
m∠BFD = 103°
In ΔBCE,
m∠E = m∠C = 32° [Since, BE ≅ BC]
m∠E + ∠C + m∠EBC = 180°
32° + 32° + m∠EBC = 180°
m∠EBC = 116°
m∠EBC + m∠EBA = 180° [Linear pair of angles]
116° + m∠EBA = 180°
m∠EBA = 64°
Similarly, m∠AFB + m∠DFB = 180° [Linear pair of angles]
m∠AFB + 103° = 180°
m∠AFB = 77°
Now in ΔAFB,
m∠A + m∠AFB + m∠FBA = 180° [Sum of internal angles of a triangle = 180°]
m∠A + 77° + 64° = 180°
m∠A = 39°
Find the sum of 3 - a - 5a2