Step-by-step explanation:
To find the x-intercept, substitute in
0
for
y
and solve for
x
. To find the y-intercept, substitute in
0
for
x
and solve for
y
.
x-intercept(s):
(
2
,
0
)
y-intercept(s):
(
0
,
−
8
)
Type the correct answer in each box.
Bridget went fishing with her dad. Bridget caught the first fish of the day, and it weighed f ounces. That day, she caught four more fish. One was
2
times the weight of the first fish, another was
2
more than
3
times the weight of the first fish, the next was
1
2
the weight of the first fish, and the last was
3
5
the weight of the first fish.
Bridget’s dad caught four fish. The first fish he caught weighed
2
more than
3
times the weight of the first fish caught that day.
One fish weighed
4
5
the weight of the first fish caught that day, one weighed
4
more than
2
times the weight of the first fish caught that day, and the last weighed
1
2
the weight of the first fish caught that day.
Answer:
PLZZ MARK ME BRAINLIEST..!
Step-by-step explanation:
Bridgets fish: f , 2f, 3f+2 , 1/2f, 3/5f
Add for total weight: 7 1/10 f +2
Dads fish: 3f+2, 4/5f, 2f+4, 1/2f
Add for total weight: 6 3/10f +6
set the 2 total weights equal:
6 3/10f +6 = 7 1/10f +2
Subtract 6 3/10f from each side:
6 = 8/10f + 2
Subtract 2 from each side:
4 = 8/10f
Divide both sides by 8/10:
f = 5
Bridget's first fish weighed 5 ounces.
Dads first fish weighed: 2 more than 3 times :3(5) + 2 = 15 +2 = 17 ounces.
In a group of 26 pupils, 3 play the flute only.
5 play the piano only.
7 play neither instrument.
How many pupils play both instruments?
Here is a Venn diagram:
What is the radius of the circle: x^2+y^2=4
1. -2
2. -4
3. 4
4. 2
Answer:
2
Step-by-step explanation:
→ The radius of a circle is square root the 4
2
Please help me!
The Farmer's Ranch House
9. The farmer's house is shown in the diagram below. He wants to build a screened-in patio on the back of his house.
Use the figure to answer the questions. (6 points)
a The area of the patio is planned to be (x + 10x - 200) square feet. What will the length be?
Patio
Patio
**10) - 0-10)
Original
House
b.
What is the area of the original house in simplest form?
Terigth
c
The farmer decides to extend the width of the patio. The area of the patio with the extension is now (x2 + 12x-160) square feet. By how
many feet will the patio be extended from what you found in part a?
Answer:
The answer is below
Step-by-step explanation:
a) The patio is in the form of a rectangle. The patio has a width of (x - 10) ft. Therefore given that the area of the patio is x² + 10x - 200, hence:
[tex]Area=length*breadth\\\\x^2+10x-200=length*(x -10)\\\\x^2+20x-10x-200=length*(x -10)\\\\x(x+20)-10(x+20)=length*(x -10)\\\\(x-10)(x+20)=length*(x -10)\\\\length=x +20[/tex]
b) Area of original house = length of house * breadth of house
The length of house = length of patio = x + 20; breadth of house = x + 10; therefore:
Area of original house = (x + 20)(x + 10) = x² + 10x + 20x + 200
Area of original house = x² + 30x + 200
c) If the width is extended, hence:
[tex]Area=length*breadth\\\\x^2+12x-160=(x+20)*width\\\\x^2+20x-8x-160=(x+20)*width\\\\x(x+20)-8(x+20)=(x+20)*width\\\\(x-8)(x+20)=(x+20)*width\\\\width=x-8\\\\Extended \ width=(x-8)-(x-10)\\\\Extended \ width=2\ feet[/tex]
A group of four golfers paid $210 to play a round of golf. Of the golfers, one is a member of the club and three are nonmembers. Another group of golfers consists of two members and one nonmember. They paid a total of $120. What is the cost for a member to play a round of golf, and what is the cost for a nonmember?
Question 14
The coordinates of triangle ABC are A(2,3), B(2,-1), C(-1,-1). Describe the ordered pairs after the tranformation D3.
The ordered pairs of the transformation are A'(1,2), B'(1,-2), C'(-2,2) of the coordinates of the triangle ABC are A(2,3),B(2,-1),C(-1,-1).
What is meant by coordinates?
They are the points which together when jointed form a triangle.
How to do transformation of a triangle?
The transformation of triangle whose coordinates are as A(2,3), B(2,-1), C(-1,-1) is done as follows:
A'=(2-1,3-1)=(1,2)
B'=(2-1,-1-1)=(1,-2)
C'=(-1-1,-1-1)=(-2,-2)
Hence the ordered pairs are (1,2)(1,-2)(-2,-2).
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How to solve ,step by step
Answer:
gradient = slope = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] = [tex]\frac{rise}{run}[/tex]
Slope intercept Form equation : y = mx + b
m = slope or gradient
b = y - intercept ( where the line crosses the y = axis)
x and y = are place holders for a coordinate pair that makes the equation true
c) y = -6x + 8
The -6 is the m. It's the slope or gradient.
the + 8 is the b. It's the y- intercept.
d) y = 4
This is a horizontal line. It intercepts the y-axis at 4.
That means the 4 is the y-intercept.
There is no x. That means the slope is 0. The line rises 0 as it runs left to right.
e) y -4x= 0
equation needs to be is standard form y = mx + b.
add 4x to both sides in order to isolate the y variable.
y = 4x + 0.
The slope or gradient is 4. The y - intercept is 0. The line crosses through the origin.
f) y -x = -8
Add x to both sides.
y = x - 8
There is one x. That means the gradient is 1. The y-intercept is the -8
g) y + 3x = 7
Subtract 3x from both sides.
y = -3x + 7
-3 = gradient. 7 = y-intercept.
h) y + [tex]\frac{1}{2}[/tex]x = -4
Subtract [tex]\frac{1}{2}[/tex]x from each side.
y = -[tex]\frac{1}{2}[/tex]x - 4
One last thing. If you are presented with an equation without a y, the gradient is 'undefined'.
example : x = 4
This a vertical line passing through 4 on the x-axis. There is no 'b' because its not crossing the y-axis.
Why is it 'undefined' ?
As the line rises it, it does not 'run' left or right. [tex]\frac{rise}{0}[/tex] . Zero can never, ever be in the denominator. Denominators can't be zero. That is why we say it's 'undefined'.
Hope this helps.
Which of the following is an arithmetic sequence?
Sierra's ice cream shop made $45 before she had to close early when the power went out. She realized she lost 3 of
a dollar each hour when the shop was closed. The expression that models this situation is 45-n. What was Sierra's
profit if the shop was closed for 8 hours?
$24
$36 $41
$49 hurry I'm being timed!
Answer:
We know that the expression that models the situation is:
45 - n
Where n is the amount that she lost.
We know that she lost $3 for each hour closed.
And the shop was 8 hours closed, so the total loss is:
8*$3 = $24
The profit is the difference between the revenue (we know that it is $45) and the loss (we know that it is $24)
Then the profit is:
$45 - $24 = $21
y = 2x + 3
y=2x-1
The system has how many solutions?
one solution
two solutions
no solution
an infinite number of solutions
help please i need help help
Answer: here is a picture of all of them I hope this helps :). This picture will clearly show the answers for 1 and 2
Step-by-step explanation:
the 3 three questions
Answer:
Step-by-step explanation:
#2 Should be many to one; the reason for this is when doing functions a proper one will have one input to one output.
#3 Should be D; same reasoning as above.
And sorry I am at a loss for #1.
PLEASE HELP!!! Find the equation of the line passing through the point that (4,-1)that is parallel to the line 2x-3y=9
Answer:
y=2/3x-11/3
Step-by-step explanation:
line is parallel so the gradient will be the same ( m=2/3)
using the point (4,-1)
y=2/3x+c
-1=2/3*4+c
-1=8/3+c
c= -11/3
equation ---> y=2/3x-11/3
stackrel(harr)(AB) is perpendicular to 'stackrel(harr)(CD)'. How many
90° angles are formed by the intersection?
Answer:
4.
Step-by-step explanation:
A line AB is perpendicular to the line CD.
As shown in the diagram, there are four angles which measures 90°.
PLEASE HELPP ILL GIVE 20 POINTS
Answer:
C=20
Step-by-step explanation:
Help quick pls
The product of three different positive integers is equal to 7^3. What is the sum of the three integers?'
Answer:
it must be 21
Step-by-step explanation:
I have very fast I think giving test just thank the answer after test mark me brainliest
The perimeter of a rectangular plot is 36 metres. The length is 6 metres more than the width. What is the area of the rectangular plot?
Answer:
72 m^2
Step-by-step explanation:
Perimeter = 36
Length + width = 18
w + w + 6 = 18
2w + 6 = 18
2w = 12
w = 6
Length + 6 = 18
Length = 12
Area = 6 * 12 = 72 m^2
If a set of scores for a variable is displayed in a frequency distribution polygon, which scale of measurement was used to measure the variable
Given: The set of scores for a variable is displayed in a frequency distribution polygon.
To find: We need to find which scale of measurement was used to measure the variable
Solution: A frequency distribution table is always either in interval or in ration scale.
Need help ASAP.
Consider the given functions.
Which graph represents the given function?
For what value of k will (k – 5)x²+ 2ky²-5x + 6y – 3 = 0 represents a circle? (
Answer:
This isn't going to be a circle even if we choose k to be -5.
I think there has to be an error in the question.
Step-by-step explanation:
We want the coefficient of x^2 and y^2 to be the same so we will want to solve:
k-5=2k
Subtract k on both sides:
-5=k
You should verify it will give a circle.
(k – 5)x²+ 2ky²-5x + 6y – 3 = 0 with k=-5:
(-5– 5)x²+ 2*-5y²-5x + 6y – 3 = 0
-10x²+ -10y²-5x + 6y – 3 = 0
Add 3 on both sides:
-10x²+ -10y²-5x + 6y = 3
Divide both sides by -10:
x²+ y²+5/10x -6/10y = -3/10
Gather the x's together and gather the y's together:
x²+5/10x+y²-6/10y = -3/10
We will begin to take steps to complete square for each the x part and the y part.
For each v^2+kv, add (k/2)^2 with goal to write as (x+k/2)^2. Remember whatever you do to one side you must do to the other.
x²+5/10x+(5/[2×10])^2+y²-6/10y+(-6/[2×10])^2 = -3/10+(5/[2×10])^2+(-6/[2×10])^2
Since radius square is not positive we can stop here. The radius has to be a real number after all. If you aren't convinced you can continue to write in center-radius form.
(x+1/4)²+(y-3/10)² = -3/10+1/16+9/100
(x+1/4)²+(y-3/10)² = -3/10+1/16+9/100
(x+1/4)²+(y-3/10)² = -59/400
8,X,20 are in arithmetic progression,find the value of "x".
Answer:
x = 14
Step-by-step explanation:
Since the terns form an arithmetic progression then they have a common difference d , that is
a₂ - a₁ = a₃ - a₂
x - 8 = 20 - x ( add x to both sides )
2x - 8 = 20 ( add 8 to both sides )
2x = 28 ( divide both sides by 2 )
x = 14
Part 1- Make sure to show all work. Write both the (i) recursive formula and the (ii) explicit formula for the sequences
A) {-23,-15,-7,1,...}.
B) {5, 5.25, 5.50, 5.75,...}
Part 2- Calculate the 15th term in each of the above sequences, Use the Recursive method for one sequence and the Explicit formula for the other sequence. (make sure to label your work & show each step).
Answer:
A) The sequence is {-23, -15, -7, 1,...}
The common difference of the sequence above, d = 8
The first term, a = -23
The number of terms, n = 15
The recursive formula is, aₙ = aₙ₋₁ + d
Using the recursive method gives;
a₅ = a₍₅₋₁₎ + d
Where;
a₍₅₋₁₎ = 1
Therefore, a₅ = 1 + 8 = 9, a₆ = 9 + 8 = 17, a₇ = 17 + 8 = 25, a₈ = 25 + 8 = 33, a₉ = 33 + 8 = 41, a₁₀ = 41 + 8 = 49, a₁₁ = 49 + 8 = 57, a₁₂ = 57 + 8 = 65 a₁₃ = 65 + 8 = 73, a₁₄ = 73 + 8 = 81, a₁₅ = 81 + 8 = 89
The 15th term of the sequence, {-23, -15, -7, 1,...}, a₁₅ = 89
We check by using explicit formula to get, aₙ = a + (n - 1)·d
Therefore
a₁₅ = -23 + (15 - 1)×8 = 89
B) The given sequence is B) {5 5.25, 5.50, 5.75,...}
The common difference, d = 0.25
The first term, a = 5
The required number of terms, n = 15
Using the recursive method gives;
a₅ = a₍₅₋₁₎ + d
Where;
a₍₅₋₁₎ = a₄ = 5.75
Therefore, a₅ = 5.75 + 0.25 = 6
a₆ = 6 + 0.25 = 6.25, a₇ = 6.25 + 0.25 = 6.5, a₈ = 6.5 + 0.25 = 6.75, a₉ = 6.75 + 0.25 = 7, a₁₀ = 7 + 0.25 = 7.25, a₁₁ = 7.25 + 0.25 = 7.5, a₁₂ = 7.5 + 0.25 = 7.75, a₁₃ = 7.75 + 0.25 = 8, a₁₄ = 8 + 0.25 = 8.25, a₁₅ = 8.25 + 0.25 = 8.5
The 15th term, of the sequence, {5 5.25, 5.50, 5.75,...}, a₁₅ = 8.5
We check by explicit formula to get, aₙ = a + (n - 1)·d
Therefore
a₁₅ = 5 + (15 - 1)×0.25 = 8.5
Step-by-step explanation:
Someone help me?????
Answer:
A. y = | x - 6 | - 3
Step-by-step explanation:
Hope this is helpful
Answer:
D
Step-by-step explanation:
when you look at the graph you can notice a kind of a curve at that point x is -6 and Y is -3 so what u have to do is replace -6 in position of x in the 4 answers and the one who's Y = -3 is your answer
1. What is the perimeter of the figure below. Simplify.
4x^3-5x 2x^3+6x 6x^3+x
Answer:
[tex]12x^3+2x[/tex]
Step-by-step explanation:
The perimeter of a polygon is equal to the sum of its sides.
The sides in the triangle shown have lengths [tex]2x^3+6x[/tex], [tex]4x^3-5x[/tex], and [tex]6x^3+x[/tex] in no specific order.
Since its perimeter is given by the sum of its sides, the perimeter is equal to:
[tex]2x^3+6x+4x^3-5x+6x^3+x[/tex]
Combine like terms:
[tex]\boxed{12x^3+2x}[/tex]
Is -3y = 5x + 4 perpendicular
Answer:
no it is not perpedicular
Step-by-step explanation:
I plugged the equation into a graphing calculator and the line does not appear to be perpendicular
Answer:
3y = 5x+4
3y=9x
yx=9/3
yx=3
help please!!! :)
2x + 6 = 4x - 2
Answer:
[tex]2x + 6 = 4x + -2[/tex]
[tex]\Longrightarrow2x+6-6=4x-2-6[/tex]
[tex]\Longrightarrow 2x=4x-8[/tex]
[tex]\Longrightarrow 2x-4x=4x-8-4x[/tex]
[tex]\Longrightarrow -2x=-8[/tex]
[tex]\Longrightarrow \frac{-2x}{-2}=\frac{-8}{-2}[/tex]
[tex]\hookrightarrow \underline{ANSWER: x=4}[/tex]
-------------------------
hope it helps...
have a great day!!
Which of the following are possible
side lengths for a triangle?
A. 4, 9,4
B. 3, 8, 12
C. 8,8,9
As we know,
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
A. 4, 9, 4
[tex]4 + 9 > 4[/tex]
[tex]9 + 4 > 4[/tex]
[tex]4 + 4 < 9[/tex]
B. 3, 8, 12
[tex]3 + 8 < 12[/tex]
[tex]8 + 12 > 3[/tex]
[tex]12 + 3 > 8[/tex]
C. 8, 8, 9
[tex]8 + 8 > 9[/tex]
[tex]8 + 9 > 8[/tex]
[tex]9 + 8 > 8[/tex]
By observing the above,
the possible side lengths of a triangle are C. 8, 8, 9.
If < W and < Y are supplementary, and < W = 121 °, then what would < Y measure?
Select one:
a. 121 °
b. 69 °
c. 59 °
d. 13 °
Answer:
Option c. 59°
Step-by-step explanation:
<W+<Y=180
121+<Y=180
<Y=180-121
<Y=59
Answered by GAUTHMATH
Which of the following best describes the line of symmetry?
A. The line that is perpendicular to the design
B. The line that is parallel to the design
C. The line that divides the design into two similar parts
D. The line that divides the design into two congruent parts
Answer:
C the line that divides the design into two similar parts
The line of symmetry divides the design into two similar parts.
What is a line of symmetry?"The line of symmetry can be defined as the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves. "
A line divides a design into two parts.
If the line is described as the line of symmetry, then the two parts that are divided by this line are similar parts.
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The nth term for the question
Answer:
Step-by-step explanation:
1) nth therm = dn + (a - d)
-10n + (11+10)
-10n + 21
t11 = -110 + 21 = -89
2) nth therm = 3n + (-66 - 3)
3n - 69
t16 = 48 - 69 = -21