Answers
Answer:
1
Step-by-step explanation:
Solutions to a systems of equations are when the (x, y) of two equations are equal with both equations remaining true or in other words when both equations intersect. So by looking at the graph, both equations seem to be linear so there should only be 0, 1, or infinitely many solutions. Since they do have one intersection there is only 1.
Answer:
The system of equations only has 1 solution.
Explanation:
This can be seen by looking at the graph and seeing where the lines were to intersect. For example, if the lines were parallel and never intersected, then there would be 0 solutions. On the other hand, if the lines were essentially the same and overlapped at every point, then there would be infinitely many solutions.
Related Questions
explain this please thanks.
Answers
Answer:
Step-by-step explanation:
Two possible patters of sitting:
⇒ [tex]I) M W M W M W[/tex]
⇒ [tex]II) W M W M W M[/tex]
⇒ Three ways can be used to seat each set of three people, for a total of six.
⇒ There are two groups
2 × 3 = 6 (ways in six groups.)
*The two options can be distributed in two groups.
⇒ Total methods are equal to 6 * 6 * 2 = 72 ways.
A. Does the relationship of weeks passed and total number of followers represent a linear function? (0.5 points) B. What is the independent variable in the situation(0.5 points) C. What is the dependent variable in the situation? (0.5 points ) D. What is the slope of the line ? What does the slope represent in this scenario ? (0.5 points) E. What is the y-intercept of the line? What does the y intercept represent in this scenario? (0.5 points) F. Write the equation in slope intercept form that represents the situation (points ) G. What is the domain ? (Inequality notation ) (0.5 points) H. What is the range ? ( Inequality notation ) (0.5 points) How many weeks would it take Jorge to get 100 followers ? (points ) J. How many followers will Jorge have after 12 weeks ? (0.5 points)
Answers
The terms "linear function" in mathematics apply to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.
a) Yes it does, because the graph of their relationship is a Straight line
b) Independent variables are variables whose variation does not depend on another. Number of works does not depend on followers. Therefore, it is independent
C)number of followers depend on the number of locks passing. It is dependent.
D) Slope = (Y₂- Y₁)/(x₂-x₁) = (100-82)/ (3-0) = 18/3 = 6
It represents the increase in number of followers per week,
E) y-intercept is value of y when x=0
y-intercept = 82. It means his initial number of followers
F) Slope-intercept form → y = mx + c m = slope горе C = y-intercept y = no of followers x= weeks.
Y=6x+82
Learn more about linear function here:
https://brainly.com/question/4025726
#SPJ10
A recipe calls for 4 1/2 cups of flour. if you only make half of the recipe, then how many cups of flour do you need? express your answer as a mixed number. please help
Answers
Answer:
2 1/4
Step-by-step explanation:
Half of 4 is 2 and half of 1/2 is 1/4 so half of 4 1/2 is 2 1/4
775 tickets were sold for a game for a total of $1,587.50. If adult tickets sold for $2.50 and childrens tickets sold for $1.50,how many of each kind of tickets were sold?
Answers
350 tickets sold of children and 425 tickets sold for adult.
What is algebra?Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.
Let x be the number of adult tickets that were sold and y be the number of children's tickets that were sold.
Total 775 tickets were sold for the game.
So,
x + y = 775
If adults tickets sold for 2.50 and children's tickets sold for 1.50 and all the tickets were sold for a total of 1587.5, it means that
2.5x + 1.5y = 1587.5
put x = 775 - y
2.5(775 - y) + 1.5y = 1587.5
1937.5 - 2.5y + 1.5y = 1587.5
-y = 1587.5- 1937.5
y = 350
and, x = 775 - y = 775 - 350
x = 425
Learn more about this concept here:
https://brainly.com/question/15371020
#SPJ1
two number cubes are rolled. Deterimine the number of ways that you could get a sum that is less than 5. The number cube is out of 6
Answers
Answer: six ways
Step-by-step explanation: The pairs when the cube is rolled that are less than five would be; (1,1), (1,2), (1,3), (2,1), (2,2), (3,1) since each cube is out of six.
9 to the power of - half is equal to (as a fraction) 27 to the power of a quarter over 3 to the power of x-1
whats x?
9^(-1/2) = ((27^(1/4))/(3^(x-1)))
Answers
Answer:
[tex]x=\dfrac{11}{4}[/tex]
Step-by-step explanation:
Given:
[tex]9^{-\frac{1}{2}}=\dfrac{27^{\frac{1}{4}}}{3^{(x-1)}}[/tex]
Rewrite 9 as 3² and 27 as 3³:
[tex]\implies (3^2)^{-\frac{1}{2}}=\dfrac{(3^3)^{\frac{1}{4}}}{3^{(x-1)}}[/tex]
[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]
[tex]\implies 3^{-1}=\dfrac{3^{\frac{3}{4}}}{3^{(x-1)}}[/tex]
Multiply both sides by [tex]3^{(x-1)}[/tex] :
[tex]\implies 3^{-1} \cdot 3^{(x-1)}=3^{\frac{3}{4}}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]
[tex]\implies 3^{(-1+x-1)}=3^{\frac{3}{4}}[/tex]
[tex]\implies 3^{(x-2)}=3^{\frac{3}{4}}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{f(x)}=a^{g(x)} \implies f(x)=g(x):[/tex]
[tex]\implies x-2=\dfrac{3}{4}[/tex]
[tex]\implies 4(x-2)=3[/tex]
[tex]\implies 4x-8=3[/tex]
[tex]\implies 4x=11[/tex]
[tex]\implies x=\dfrac{11}{4}[/tex]
Find the nature of the graph of the function y = -9x3 + 5x2 - 2x using end behavior.
Answers
The graph goes upwards on the left side and downwards on the right side, so the correct option is the first one.
How is the end behavior of the function?
We have the function:
[tex]y = -9*x^3 + 5*x^2 -2x[/tex]
This is a cubic polynomial with a negative leading coefficient.
So, when x takes large negative values, because the leading coefficient is negative, y will take large positive values.
And when x takes large positive values, because the leading coefficient is negative, y will take large negative values.
So the nature is:
The graph goes upwards on the left side and downwards on the right side. The correct option is the first one.
If you want to learn more about end behavior:
https://brainly.com/question/1365136
#SPJ1
Quick
Check
Match each power of a power expression with its simplified expression.
Answers
At a track meet, the height of John's high jump was within 6 inches of the track record of 76 inches. What is
the range of heights for John's jump?
Answers
The range:
[tex]{x|70\leq x\leq 82[/tex]
P(x)⋅Q(x)=R(x); if P(x)=x+1 and R(x)=2x3+2x2+3x+3, what is Q(x)?
A. 2x2+2
B. 2x2+3
C. 2x2−3
D. 2x2−2
Answers
Answer: B
Step-by-step explanation:
[tex]P(x) Q(x)=R(x) \implies Q(x)=\frac{R(x)}{P(x)}\\\\Q(x)=\frac{2x^{3}+2x^{2}+3x+3}{x+1}={2x^{2}(x+1)+3(x+1)}{x+1}=\boxed{2x^{2}+3}[/tex]
Is the following statement a good definition? Why? An integer is divisible by 100 if and only if its last two digits are zeros. No, it is not. When the definition is separated into two conditional statements, one of the statements is false. Yes, it is. When the definition is separated into two conditional statements, one of the statements is true. Yes, it is. When the definition is separated into two conditional statements, both of the statements are true. No, it is not. When the definition is separated into two conditional statements, both of the statements are false.
Answers
The given statement is An integer is divisible by 100 if and only if its last two digits are zeros.
The two conditional statements that can be made are:
1) If an integer is divisible by 100 its last two digits are zeros.
This is a true statement. If a number is divisible by 100, it means 100 must be a factor of that number. When 100 will be multiplied by the remaining factors, the number will have the last two digits zeros.
What happen when last two digit of the number are 0?
2) If the last two digits of an integer are zeros, it is divisible by 100.
This is also true. If the last two digits are zeros, this means 100 is a factor of the integer. So the number will be divisible by 100.
Therefore, the two conditional statements that are formed are both true.
So, option A is the correct answer.
Yes, it is. When the definition is separated into two conditional statements, both of the statements are true.
To learn more about the integer visit:
https://brainly.com/question/17695139
#SPJ1
The given statement is An integer is divisible by 100 if and only if its last two digits are zeros.
What is Integers?An integer is a number with no decimal or fractional part, from the set of negative and positive numbers, including zero.
The two conditional statements that can be made are:
1) If an integer is divisible by 100 its last two digits are zeros.
This is a true statement. If a number is divisible by 100, it means 100 must be a factor of that number. When 100 will be multiplied by the remaining factors, the number will have the last two digits zeros.
2) If the last two digits of an integer are zeros, it is divisible by 100.
This is also true. If the last two digits are zeros, this means 100 is a factor of the integer. So the number will be divisible by 100.
Therefore, the two conditional statements that are formed are both true.
So, option A is the correct answer.
Yes, it is. When the definition is separated into two conditional statements, both of the statements are true.
Learn more about integer from:
brainly.com/question/17695139
#SPJ1
This week, Marie trimmed 61% of the bushes in her yard. Katie trimmed 7/20 of the bushes in her yard. Who has trimmed a greater percentage of her bushes?
Answers
7/20 = 0.35 = 35%
61% > 35%
A bakery has a sale on cookies. If a customer buys a dozen cookies for $15, each additional single cookie is $0.75. What is an equation that shows how the total cost depends on the number of single cookies purchased? (Assume that the order starts with a dozen cookies.) How much would a dozen cookies plus six single cookies cost?
Answers
Answer:
T = 15 + 0.75c
T = $19.5
Step-by-step explanation:
Assume that T stands for total cost and c stands for number of single cookies purchased, the equation would be:
T = 15 + 0.75c
Therefore, a dozen cookies plus six single cookies would cost:
T = 15 + 0.75(6)
T = 15 + 4.5
T = $19.5
Currently,nova is 3 times as old as Damon. in 8 years, she will be as only 2 times as old as Damon. How old will Damon be in 8 years?
Answers
Answer:
16
Step-by-step explanation:
consider X = Damon's age
3x + 8 = 2x
x = 8
so Damon will be 16 in 8 years ( 8+8)
Answer:
16
Step-by-step explanation:
24/3 8
24+8=32
8+8=16
16/32=1/2
WILL MARK BRAINLEST
Fill in the missing work and justification for step 5 when solving 4(x + 1) = 8.
Step Work Justification
1 4(x + 1) = 8 Given
2 4x + 4 = 8 Distributive Property
3 4x + 4 − 4 = 8 − 4 Subtraction Property of Equality
4 4x = 4 Simplify
5
6 x = 1 Simplify
A 4x − 4 = 4 − 4; Subtraction Property of Equality
B 4x + 4 = 4 + 4; Addition Property of Equality
c Four times x over four equals four over four; Division Property of Equality
d 4x(4) = 4(4); Multiplication Property of Equality
Answers
Answer:
c) Four times x over four equals four over four; Division Property of Equality===========================
Given equation and steps to solve it:
4(x + 1) = 84x + 4 = 84x + 4 - 4 = 8 - 44x = 44x/4 = 4/4 This is the missing stepx = 1All steps given above including the missing one. As we can see, we divided both sides by 4, so the justification for this step is Division Property of Equality.
Hence, the correct choice is C.
Answer:
Four times x over four equals four over four; Division Property of Equality
Option CStep-by-step explanation:
See on antepenultimate step
4x=4Now for getting x we have to divide each side by 4
We get.
4x)4=4/4x=1Solve for the value of x:-
4x+3(x-1)=67
Answers
Answer:
x = 10
Step-by-step explanation:
4x + 3(x - 1) = 67 ← distribute parenthesis and simplify left side
4x + 3x - 3 = 67
7x - 3 = 67 ( add 3 to both sides )
7x = 70 ( divide both sides by 7 )
x = 10
Hi. . .
✦•···················•✦•···················•✦
A n s w e r : -[tex]\boxed{\fbox{\huge{x = 10}}}[/tex]
E x p l a n a t i o n :Let's solve your equation step-by-step ~
➳ Step 1: Simplify both sides of the equation.
[tex]\sf{4x \: + \: 3(x \: - \: 1) = 67}[/tex]
[tex]\sf{4x \: + \: (3)(x) \: + \: (3)(-1) = 67} \: (Distribute)[/tex]
[tex]\sf{4x \: + \: 3x \: + \: -3 = 67}[/tex]
[tex]\sf{(4x \: + \: 3x) \: + \: (-3) = 67} \: (Combine \: like \: terms)[/tex]
[tex]\sf{7x \: + \: 7 \: -3 = 67}[/tex]
[tex]\sf{7x \: - \: 3 = 67}[/tex]
➺ Step 2: Add 3 to both sides.[tex]\sf{7x \: - \: 3 \: + \: 3 = 67 \: + 3}[/tex]
[tex]\sf{7x = 70}[/tex]
➽ Step 3: Divide both sides by 7.[tex]\sf{\frac{7x}{7} = \frac{70}{7}[/tex]
[tex]\boxed{\fbox{\huge{x = 10}}}[/tex]
Hope It Helps...
What is the factored form for the quadratic function below?
y = x² + 9x + 8
Oy=(x-9)(x - 1)
Oy=(x-8)(x - 1)
Oy= (x + 9) (x + 1)
Oy= (x + 8) (x + 1)
Answers
Answer:
D. y = (x + 8) (x + 1)
Explanation:
[tex]\sf y = x^2 + 9x + 8[/tex]
[tex]\rightarrow \sf y = x^2 + 9x + 8[/tex]
middle term split
[tex]\rightarrow \sf y = x^2 + 8x +x + 8[/tex]
factor the common terms
[tex]\rightarrow \sf y = x(x + 8) + 1(x + 8)[/tex]
collect into groups
[tex]\rightarrow \sf y = (x + 1)(x + 8)[/tex]
Option D
In order to create a system of equations that has the same solution as the system
x+y=4
2x+y = 7
complete three steps.
1
Step 1: Multiply the equation x + y = 4 by _[blank A]__.
Step 2: Add the equations 2x + y = 7 and _[blank B]_.
Step 3: Write the new system of equations as _[blank C]__.
Match each blank with the system or statement that correctly fills in that blank.
Answers
#Step1
Multiply by -2It will result -2x-2y=-8
#2
-2x-2y=-8#3
add
-y=-1y=1Find x
x+1=4x=3Examine the equation.
-2(-x + 9) = 2(x - 9)
2x 18 = 2x - 18
This equation has
Infinite solutions
One solution
No solution
Answers
Answer:
No solution
Step-by-step explanation:
Work out (6 × 10²) ÷ (3 × 105)
Give your answer in standard form.
Answers
Answer: 40/21
Step-by-step explanation:
[tex]3 \times 105=315\\\\6 \times 10^{2}=600\\\\\implies \frac{6 \times 10^{2}}{3 \times 105}=\frac{600}{305}=\boxed{\frac{40}{21}}[/tex]
Write the number in standard notation: 5.32 x 106?
Answers
Answer:
5.32⋅10−6
Step-by-step explanation:
Answer:
5320000
Step-by-step explanation:
standard notation form : 5320000
(6 + 7) + 8 = 21
Choose an equivalent addition sentence that shows the associative property of addition.
Answers
Answer:
6 + (7 + 8) = 21
Step-by-step explanation:
the associative property of addition is: (a + b) + c = a + (b + c)
So the equivalent addition sentence would be:
(6 + 7) + 8 = 6 + (7 + 8) as they both equal 21
The radius of a circle is 7 metres. What is the length of a 135° arc?
Answers
Answer:
16.5 meters
Step-by-step explanation:
The length of an arc of a circle = 2πr(C/360°) ;where:
C is the central angle of the arc,
R is the radius of the arc
Length of the arc = 2π(7)(135/360)
= 16.493
= 16.5 metres (approx.)
Answer:
Arc Length: 5.25π or [tex]\frac{21}{4} \pi[/tex]
Explanation:
An arc is the part of the circumference of a circle.
Formula:
[tex]\sf Arc \ Length = \dfrac{\theta}{360} \ \times \ 2\pi \ \times radius[/tex]
If applied:
[tex]\sf Arc \ Length = \dfrac{135}{360} \ \times \ 2\pi \ \times 7[/tex]
[tex]\sf Arc \ Length = \dfrac{3}{8} \ \times \ 14\pi[/tex]
[tex]\sf Arc \ Length = \dfrac{21}{4} \pi[/tex]
[tex]\sf Arc \ Length = 5.25 \pi[/tex]
What is the speed of a wave with a wavelength of 10 meters
Answers
Any wave's speed is equal to its frequency times wavelength. Now, the question doesn't specifically state what kind of wave it is. Thus, there might be two distinct scenarios: If the wave is elastic (sound is an example), you can't calculate its speed unless you also know its frequency and wavelength. However, the speed in vacuum is constant (3*108 m/s) if the wave is electromagnetic (for instance, light). In order to maintain constant velocity, frequency must shift in response to variations in wavelength. The frequency of light rays is constant in all other optical media (apart from vacuum and air), although their velocity and wavelength change correspondingly. However, that is not the case here since if it must be an EM wave with a wavelength of 10 m, then it must be a radio wave that travels uniformly through all medium at a speed of 3*108 m/s.
can someone please help mee (20 points and i will give brainliest!!!)
Answers
Answer:
Step-by-step explanation:
What is the length of the missing side of this triangle?
A
2
B
10
C
50
D
100
top side is 26 bottom side is 24 left side is whats missing
Answers
Answer:
B
Step-by-step explanation:
pythagorus theorem
a² + b² = c²
c² - b² = a²
26² - 24² = a²
676 - 576 = a²
a² = 100
a = 10
What is the decimal multiplier to increase by 93%?
Answers
Answer:
0.93
Step-by-step explanation:
I know it’s simple but I’ve never been good at this topic please help —— 1232÷14
Answers
Answer:
88
Step-by-step explanation:
Find the length of diagonal BC of ABCD to the nearest hundredth.
Answers
The length of BC as shown in the diagram is 6.32units
Calculating distance between two pointsThe formula for calculating the distance between two points is expressed as:
D = √(x2-x1)²+(y2-y1)²
Given the following coordinate points (3, 6) and (5, 0)
Substitute
BC = √(0-6)²+(5-3)²
BC = √(36+4)
BC = √40
BC = 6.32 units
Hence the length of BC as shown in the diagram is 6.32units
Learn more on distance formula here: https://brainly.com/question/661229
#SPJ1
find x and y. Please help me with my math
Answers
Answer: Read attachment.
Step-by-step explanation: Attached below is my work. Hope it helps!
