Answer:
Equation 1 has exactly one solution.Equation 2 has infinitely many solutions.Equation 3 has no solution.Step-by-step explanation:
We are given three equations to solve. First, let's solve the equations for x.
Equation 1
[tex]\displaystyle{6x+8=7x+13}\\\\7x + 13 = 6x + 8\\\\x + 13 = 8\\\\\bold{x = -5}[/tex]
Therefore, we determined that for the first equation, x = -5. We can check our solution by substituting it back into the original equation.
[tex]\displaystyle{6(-5)+8=7(-5)+13}\\\\-30 + 8 = -35 + 13\\\\-22 = -22 \ \checkmark[/tex]
Since we got a true statement, there are no other values of x for which we get a true statement. Let's test this with the opposite value: positive 5.
[tex]6(5)+8=7(5)+13\\\\30 + 8 = 35 + 13\\\\38 = 48 \ \text{X}[/tex]
Therefore, for Equation 1, there is exactly one solution.
Equation 2
[tex]6 x + 8 = 2 ( 3 x + 4 )\\\\6x + 8 = 6x + 8\\\\0 + 8 = 8\\\\8 = 8 \ \checkmark[/tex]
We get a true statement by solving for x (which ends up canceling out of the equation entirely). Therefore, we can check any value in place of x to see if we get a true statement. For this instance, I will use -3.
[tex]6(-3) + 8 = 2 ( 3(-3) + 4 )\\\\-18 + 8 = 2(-9+4)\\\\-18 + 8 = 2(-5)\\\\-18 + 8 = -10\\\\-18 = -18 \ \checkmark[/tex]
We still get a true statement, so Equation 2 has infinitely many solutions.
Equation 3
[tex]6 x + 8 = 6 x + 13\\\\0 + 8 = 13\\\\8 \neq 13[/tex]
We get a false statement. Therefore, Equation 3 has no solution.
Expand.
a)3(x - 2)
b)2(y + 4)
c)8(3 + x)
Answer:
[tex]a \: 3x - 6 \\ b \: 2y + 8 \\ c \: 8x + 24[/tex]
Step-by-step explanation:
All we have to do is multiply accordingly. I'll use a for an example.
So for the value before the perentheses we multiply that by all of the values in the perentheses.
[tex]3x \: and \: - 6[/tex]
So the correct answer would be
[tex]3x - 6[/tex]
You can use the same strategy for all the questions, but I'll just answer those straight away.
Also you may notice I put the variable before the constant in question c because the variable should always go before the constant in expressions and equations.
Crystal earns $5.50 per hour mowing lawns.
• Write a rule to describe how the amount of money m earned is a function of the number of hours h spent mowing lawns.
• How much does Crystal earn if she works 3 hours and 45 minutes
i need desperate help i dont care abt work
Answer:
75%
Step-by-step explanation:
add them together
Which of these equations is NOT true?
A) 2(a + b) = a +b+a+b
C) (t-4) +6=t-10
B) 3y + 4y = 7y
D) x(5 + 9) - x = 13x
Answer:
C) (t-4) + 6=t-10
Step-by-step explanation:
2(a+b)= a+b+a+b
2(a+b)= 2a+b+b
2(a+b)=2a+2b
2(a+b) = 2(a+b)✅
(t-4)+6=t-10
t+2=t-10❌
3y+4y=7y
7y=7y✅
x(5+9)-x=13x
x(14)-x=13x
14x-x=13x
13x=13x ✅
A quadratic equation that has X-intercepts of (-2,0) and (8,0), a stretch of 3, and the vertex is a minimum.
a. Factored form equation:
b. Vertex form equation:
c. Standard form equation:
Answer:
a. y = 3 × (x + 2)(x - 8)
b. y = 3·(x - 3)² - 75
c) y = 3·x² - 18·x - 48
Step-by-step explanation:
The x-intercept of the quadratic equation are (-2, 0), (8, 0)
The stretch of the quadratic equation = 3
We have;
a. The factored form y = 3 × (x + 2)(x - 8)
b. From the vertex form, we have;
y = 3 × (x + 2)(x - 8) = 3·x² - 18·x - 48
y = 3·x² - 18·x - 48
The vertex form a(x - h)² + k
Where;
h = -b/(2·a) = 18/6 = 3
h = 3
k = c - b²/(4·a) = -48 - (18²)/12 = -75
The vertex form 3·(x - 3)² - 75
c) The standard form of the quadratic equation, y = a·x² + b·x + c
The standard form of the quadratic equation is y = 3·x² - 18·x - 48.
fine the y-intercept of the line on the graph.
In a class of 50 students, 40% are girls. Find the number of girls and number of girls in the class.
Answer:
20 girls.
Step-by-step explanation:
40% * 50
= 20
Hope this helped!
There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun one time, what is the probability that the result is a multiple of 6 and a multiple of 4?
Answer:
Step-by-step explanation:
Multiplies of 6:
6,12
Multiplies of 4:
4,8,12
4\15
If the sides of a square are increased by 2 inches, the
area becomes 81 square inches. Find the length of the
sides of the original square
The length of the sides of the original square is
Ill give u brainlist help me solve this
Answer:
false
Step-by-step explanation:
Catarina is buying supplies for a party. She plans to spend at least $100 on food and at least $50 on party favors. She can spend no more than $250 total on food and party favors.
Write three inequalities, how much Catarina plans to spend on food, party favors and food.
Answer:
food [tex]\geq[/tex] 100
favors [tex]\geq[/tex] 50
total [tex]\leq[/tex] 250
PLEASE HELP!! BONUS POINTS!! WILL CHOOSE BRAINLIEST!!!
(The instructions say: Write a linear equation to represent the line shown on the graph)
THANK YOU!!
Answer:
y = - 1/2x + 5Step-by-step explanation:
We can see point on the graph:
(0, 5) and (4, 3)Slope-intercept form:
y = mx + bFirst finding the slope using slope formula:
m = (y2-y1)/(x2-x1) = (3 - 5)/(4-0) = -2/4 = -1/2y -intercept is 5 as per the first pointThe line is:
y = - 1/2x + 5Answer:
9,8
Step-by-step explanation:
x=9, y=8
Hope that helps!
Someone could help me with this which would be the answer?
74ft
24ft
b
What is the length of the missing leg?
Answer: 70
Step-by-step explanation:
a^2 + b^2 = c^2
24^2 + b^2 = 74^2
576 + b^2 = 5,476
-576 -576
b^2 =4,900
(square root)
b =70
A machine can print 300 t shirts in 10 mins. How many t shirts can the michine print in 1 min
Answer:
It can print 30 t-shirts in one minute
Step-by-step explanation:
300÷10=30
Answer:
30 in 1 minute
Step-by-step explanation:
300/10=30
can i get brainliest?
The following chart shows the number of concert tickets sold and the profit earned. What is the slope of the line through these points?
a. -1/4
b. -1/2
c. 4
d. 2
Answer:
C.) 4
Step-by-step explanation:
y2 - y1/x2 - x1
m = 160 - 80/60 - 40
m = 80/20
m = 8/2
m = 4/1
m = 4
Answer:
4
Step-by-step explanation:
Deon earns $28 washing 4 windows. At this rate, how many windows did Deon wash to earn $63?
Answer:
9windows
Step-by-step explanation:
4w=$28
$63 =4×63÷28 =4×63×1/28
9windows
Todd swam his race in 36.795 seconds while Markie swam his race in 39.09 seconds. What was the difference in their times?
Answer:
2.295 seconds
Step-by-step explanation:
39.09-36.795
=2.295 seconds
PLS GIVE BRAINLIEST
Abe is buying wrapping paper.
He is shopping for the best deal.
Drag the rolls of wrapping paper in order from the least to the greatest unit cost in dollars per square foot.
red 12.5 square feet for $1.79
blue 40 square feet for $5.29
green 50 square feet for $8.49
orange 60 square feet for $6.00
Answer:
So you need to compute all the rates to see which is the best deal.
$1.79/12.5ft^2=$0.1432 per ft^2
$5.29/40ft^2=$0.13225 per ft^2
$8.49/50ft^2=$0.1698 per ft^2
$6/60ft^2=$0.10 per ft^2
So the last option is the cheapes per square foot and thus is the best deal. Ordered from least to greatest.
Sherbert, blue, red, and green
Step-by-step explanation:
hope this helps
Answer:
The order goes Orange, Blue, Red, and Green
Step-by-step explanation:
By dividing the total cost by the amount of square feet, you get the unit value for the wrapping paper per square foot.
please help please help please help please help please help please help please help please help
Answer:
two
Step-by-step explanation:
ilxzc d cd cf trdc4rter
3 is to 14 as 12 is to what number?
O 3.5
O 2.6
O 42
O 56
Answer:
12 is to 56
Step-by-step explanation:
hope it helped have a good day :))
20 PTS! On my quiz there are 25 questions, I got a 96%. How many did I get right and how many wrong?
Answer:
Well, you missed one. (24/25) is a 96%
1 Incorrect
24 Correct
Step-by-step explanation:
What's the slope and y intercept of the graph
Answer:
A
Step-by-step explanation:
Have a great day!!!!!
Which unit price is the highest?
turnips for $1.51 per pound
peppers for $1.62 per pound
carrots for $1.26 per pound
celery for $1.48 per pound
Answer:
1.62 so peppers
Step-by-step explanation:
Answer:
peppers Hope thiss helps!
Step-by-step explanation:
Describe a sequence of rigid motions
Answer:
Step-by-step explanation:
Reflection over y-axis , then reflection over line y = 2
Which of the following pairs of terms are like terms?
A"3x and 2b
B:7 and 7y
C:3p and 4p
Answer:
C
Step-by-step explanation:
they have the same variable
Sean wants to spend (example) $100 on clothing and he wants to purchase
6 additional items for his wardrobe. Each pair of pants costs $20 and each shirt costs $15.
Show the solution graphically.
Point (2, 4)
Answer:
Step-by-step explanation:
Let x be the number of pants and y be the number of shirts
x + y = 6
20x + 15y = 100
multiply the first equation by -20
-20x -20y = -120
20x + 15y = 100
subtract the equations
-5y = -20
y = 4
replace y in equation 1
x + 4 = 6
x = 2
Where are the 4th roots of 16i located?
a) on a circle with radius 1.7
b) on a circle with radius 2
c) on a circle with radius 2.5
d) on a circle with radius 4
Answer:
B) on a circle with radius 2
Step-by-step explanation:
got it right on edge :)
The 4th roots of 16i is located b) on a circle with radius 2
How to determine the location of the fourth root?The complex number is given as:
Number = 16i
Take the fourth root
[tex]Root = \sqrt{16i[/tex]
Take the fourth root of 16
[tex]Root = 2\sqrt{i[/tex]
The number before the radicand represents the circle radius
Hence, the 4th roots of 16i is located b) on a circle with radius 2
Read more about complex numbers at:
https://brainly.com/question/10662770
#SPJ6
What operation is being done to the variable in the equation -5m = -40?
It's being multiplied by -5.
It's being divided by -5.
It's being multiplied by -40.
It's being divided by -40.
Answer:
it's being divided by -5
Step-by-step explanation:
-5m= -40
m=8
What is the equation of the line that passes through the point (-5,2) and
has a slope of