Answer:
see explanation
Step-by-step explanation:
To find the intercepts, that is where the graph of the lines cross the x and y axes.
• let x = 0, in the equation for y-intercept
• let y = 0, in the equation for x-intercept
Consider each equation separately
2x + 5y = 10
x = 0 : 5y = 10 ⇒ y = 2 ⇒ (0, 2) ← y -intercept
y = 0 : 2x = 10 ⇒ x = 5 ⇒ (5, 0) ← x- intercept
2x + 3y = 6
x = 0 : 3y = 6 ⇒ y = 2 ⇒ (0, 2) ← y- intercept
y = 0 : 2x = 6 ⇒ x = 3 ⇒ (3, 0 ) ← x- intercept
The common solution is the y-intercept in both equations (0, 2 )
-5x+7y=11
-5x+3y=19
Elimination
[tex]\left\{\begin{array}{ccc}-5x+7y=11&\text{change the signs}\\-5x+3y=19\end{array}\right\\\underline{+\left\{\begin{array}{ccc}5x-7y=-11\\-5x+3y=19\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad-4y=8\qquad\text{divide both sides by (-4)}\\.\qquad\qquad \boxed{y=-2}\\\\\text{Upt the value of y to the second equation:}\\\\-5x+3(-2)=19\\-5x-6=19\qquad\text{add 6 to both sides}\\-5x=25\qquad\text{divide both sides by (-5)}\\\boxed{x=-5}\\\\Answer:\ \boxed{x=-5\ and\ y=-2\to(-5,\ -2)}[/tex]
PLEASE HELP! 49 POINTS!
Show work and explain! I don't get it.
Answer:
B
Step-by-step explanation:
-6 10n to the 5 11n to the 3
you put the ones that are alike to gether. so -3 and -3 together and 5n to the 3rd and 6n to the third together and 3n to the fifth and 7n to the fifth together
Given : (-3 + 3n⁵ + 6n³) + (7n⁵ + 5n³ - 3)
Rearrange respective Like terms as they are a Family, They should be together.
In the Given Expression, The Like terms are :
✿ 3n⁵ and 7n⁵
✿ 6n³ and 5n³
✿ -3 and -3
After Rearranging, The Given Question looks like :
✿ (3n⁵ + 7n⁵) + (6n³ + 5n³) - 3 - 3
Now, Add the Like Terms as they belong to the same Family
⇒ 10n⁵ + 11n³ - 6
Consider this equation and the steps taken to solve it. –9(a – 5) = –18 (distribute) –9a + 45 = –18 (subtract 45) –9a = –63 (divide by –9) a = 7 What steps might you take to verify the solution? Check all that apply. Substitute 7 for a. Pick any value for a and substitute. Simplify the equation after substituting the value for a. Verify that a = 7 is correct when the result is a true statement. Verify that a = 7 is correct when the result is a false statement.
Answer:
Substitute 7 for a.
Simplify the equation after substituting the value for a.
Verify that a = 7 is correct when the result is a true statement.
Step-by-step explanation:
–9(a – 5) = –18
Distribute
-9a +45 = -18
Subtract 45 from each side
-9a +45-45 = -18-45
-9a = -63
Divide each side by -9
-9a/-9 = -63/-9
a = 7
To check the solution put a =7 back into the original equation
–9(a – 5) = –18
-9(7-5) = -18
Simplify
-9(2) = -18
-18 = 18
This is true so 7 is the solution
Answer:
Substitute 7 for a.
Simplify the equation after substituting the value for a.
Verify that a = 7 is correct when the result is a true statement.
Step-by-step explanation:
Here, the given equation is,,
[tex]-9(a-5)=-18[/tex]
And, after solving it the result is,
a = 7
We can check whether a result is the solution of an equation by substituting the result in the given equation.
If we get a true statement, then the result is the solution of the equation.
Thus, for verifying the solution, steps are as follow,
Step 1 : Substitute 7 ,
-9(7-5) = -18
Step 2 : Simplify the equation after substituting the value of a
-9(2) = -18
Step 3 : Verify that a = 7 is correct when the result is a true statement.
-18 = -18
I need help doing the math
The line segment shown is translated down 4 units, what are the new coordinates of B?
Answer:
D) (4, -1)
Step-by-step explanation:
When a point is translated down 4 units you need to subtract 4 from the y-coordinates. The x-coordinates will not change. Therefore (4, 3) will become (4, -1).
26=-8/5y what is it 30 points!!!!!
Answer:
Alright well solve for y by simplifying both sides of the equation, then isolating the variable
Exact form: y = - 65/4
Decimal form: y = - 16.25 Hope this helps Have a nice day :)
Step-by-step explanation:
n+6=38 what is the answer to this problem
Answer:
32
Step-by-step explanation:
38-6=32
Hi there! :)
Answer:
n=32
*The answer must have a positive sign.*
Step-by-step explanation:
Lesson: Addition/Subtraction/Multiplication/ and Division property of equalityFirst, you subtract by 6 from both sides of an equation.
n+6-6=38-6
Then, you subtract by the numbers from left to right.
38-6=32
Final answer is n=32
I hope this helps you!
Have a nice day! :)
Thanks!
-Charlie
:D
jan quint earns 11.00 an hour at her job and is entitled to time and a half for overtime and double time on holidays last weeks she worked 40 hours of regular time 9 hours of overtime and 12 hrs of holiday time how much did she earns last weeks
Answer:
$852.5
Step-by-step explanation:
$11 * 40 hours = $440 for reg. hours
$16.5 * 9 hours = $148.5 for overtime
$22 * 12 hours = $264 for holiday time
$440 + $148.5 + $264 = $852.5 in total
Ming has a goal to jog 4 1/2 miles each day. On Monday she jogged 5 9/16 miles. How many much if she exceed her goal for that day?
Answer:
Ming exceed [tex]1\frac{1}{16}[/tex] miles her goal for that day
Exep-by-step explanation:
[tex]5\frac{9}{16}- 4\frac{1}{2} =5\frac{9}{16} -4\frac{8}{16}=1\frac{1}{16} miles[/tex]
A school paid $45.00 for 8 toothbrushes and 4 tubes of toothpaste. If each tube of toothpaste cost $4.50, how much did each toothbrush cost? Round to the nearest cent.
Answer:
$3.38
Step-by-step explanation:
The formula is 45= 8x + 4t. Each tube of toothpaste is 4.50, so times four is 18. So they spent 18 dollars on toothpaste, and the rest on toothbrushes. There are 27 dollars left, and 8 toothbrushes, so divide and each toothbrush is $3.375, or $3.38
Answer:
$3.38 PLEASE GIVE BRAINLIEST
Step-by-step explanation:
4.50(4) + 8x = $45.00
$18 + 8x = 45.00
8x = 45 - 18
8x = 27
x = 27 ÷ 8
x = 3.375 rounded to nearest cent is $3.38
Either Table L or Table M shows a proportional relationship. (Table L) - X -1,0,1,2 and Y= -2,0,2,4. (Table M- )X= -1,0,1,2, and Y= -4,0,6,9. Plot the points from the table that shows a proportional relationship.
Answer: Table L shows a proportional relationship.
Step-by-step explanation:
in table L, the ordered pairs are: (-1,-2),(0,0),(1,2),(2,4)
in table M, the ordered pairs are: (-1,-4),(0,0),(1,6),(2,9)
Notice that in table L, the increment for x values is consistent which is adding 1 and the increment for y values is consistent too which is adding 2. That's why table L is proportional.
In table M, the increment for x values is 1 but there is no consistent increment for y values.
Round 452 to the nearest hundred
Answer:
500
Step-by-step explanation:
Find the value of x when the expression 6x+9 equals 3x+6
Answer: 1=x
Step-by-step explanation:
6x+9=3x+6 -6 -6
6x+3=3x -6x -6x 3=-3x 3 divided by 3 is one 1=x I hope this helps sorry if its incorrect i havent done this in a while
Answer:
x = -1
Step-by-step explanation:
Subtract 3x from both sides
6x + 9 - 3x = 3x + 6 - 3x
3x + 9 = 6
Subtract 9 from both sides
3x + 9 - 9 = 6 - 9
3x = -3
Divide both sides by 3
3x/3 = -3/3
x = -1
What is the equation of the line with a y-intercept of -3 and slope of 2? Write the equation in slope intercept form.
Answer:
Y=2x-3
Step-by-step explanation:
Hi there! :)
Answer:
y = 2x - 3
Step-by-step explanation:
The slope intercept equation looks like this : y = mx + b
Where "m" is the slope and "b" is the y-intercept.
Your y-intercept = -3 → SO, b = -3
Your slope = 2 → SO, m = 2
Replace the values of "b" and "m" in the equation, and you're done:
y = mx + b
y = 2x - 3
There you go! I really hope this helped, if there's anything just let me know! :)
Please help I will give brainiest :)
A relation is plotted as a linear function function on the coordinate plane starting at point E at (0,27) and ending at point F at (5, -8) what is the rate of change for the linear function and what is its initial value ? Select from the drop down menus to correctly complete the statement.
The rate of change for the linear function is choose -7, 0, 7, 27 and the initial value is, choose, -8 , -5, 0, 27
Thank You!!! :)
Answer:
see explanation
Step-by-step explanation:
the rate of change is the measure of the slope m of the line
To calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (0, 27) and (x₂, y₂ ) = (5, - 8)
m = [tex]\frac{-8-27}{5-0}[/tex] = [tex]\frac{-35}{5}[/tex] = - 7 ← rate of change
the initial value is the y-coordinate of the starting point
That is y = 27 ← starting value
The rate of change for the linear function is -7 and the initial value is 27.
someone help me plz
Ramon bought a bicycle for $478. The value of the bicycle is expected to decrease at a rate of 6.5% each year. Which function equation represents the value of the bicycle after t years? f(t)=478(0.935)^t
f(t)=478(0.065)^t
f(t)=478(6.5)^t
f(t)=478(1.065)^t
Answer:
Correct choice is A
Step-by-step explanation:
Note that 6.5% is 0.065 as decimal.
Ramon bought a bicycle for $478. The value of the bicycle is expected to decrease at a rate of 6.5% each year, then the function that represents the situation is
[tex]y=478\cdot (1-0.065)^t=478\cdot (0.935)^t,[/tex]
where t is time (in years).
Options C and D are false, because functions are increasing, option B is false, because this function represents how much will the value decrease.
Answer:
The correct answer is A
f(t)=478(0.935)^t
The graph of a system of equations with different slopes will have no solutions. Always Sometimes Never
Answer:
Never
Step-by-step explanation:
If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.
Thats what my teacher tought me
Find the slope between (1, 1) and (8, 7)
Answer:
6/7
Step-by-step explanation:
Change in y over the change in x.
7 - 1 over 8 - 1 =
6 over 7
6/7
6x-5y=17 solve the system
The grill was regularly priced at $58, but Jared had a coupon for 25% off. How much money did Jared save by using his coupon?
Answer:
He saves $14.50
Step-by-step explanation:
We can find the discount by multiplying the price by the percentage off
58* .25 = 14.50
He saves $14.50
Answer:
14.50
Step-by-step explanation:
You are not asked for the final price. You are asked for the amount saved. Don't confuse the two.
If he gets 25% off then you multiply (25/100) times 58 to get the amount saved.
(25/100) * 58 = 14.50
So his reduction is $14.50
What is the difference in temperature between February and may?
A. 61
B.13
C.3
D.4
On a coordinate grid, point T is at (2, −4) and point S is at (2, 6). The distance (in units) between points T and S is ______. (Input only whole numbers, such as 2.)
Answer:
10
Step-by-step explanation:
calculate the distance using the distance formula
d = √( x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (2, - 4) and (x₂, y₂ ) = (2, 6)
d = [tex]\sqrt{(2-2)^2+(6+4)^2}[/tex] = [tex]\sqrt{0+100}[/tex] = [tex]\sqrt{100}[/tex] = 10
A breakfast cereal is available in four different sizes. Which is the best buy ?
A. 10-ounce box for $2.80
B. 16-ounce box for $3.75
C. 24-ounce box for $4.50
D. 30-ounce box for $5.25
Answer:
D. 30-ounce box for $5.25 is the best buy
Step-by-step explanation:
To determine which is the better buy, we need to determine the unit rate for each. We will take the price and divide by the number of ounces. The best price is the smallest price per ounce.
A. 10-ounce box for $2.80
$2.80/10 = $.28 per ounce
B. 16-ounce box for $3.75
$3.75/16 = $.234375 per ounce
Rounding to the nearest cent
$.23 per ounce
C. 24-ounce box for $4.50
$4.50/24 = $.1875 per ounce
Rounding to the nearest cent
$.19 per ounce
D. 30-ounce box for $5.25
$5.25/30 =$.175 per ounce
Rounding to the nearest cent
$.18 cent per ounce
which is the shorter drive in hours? Allentown to Gettysburg at 55 mph Philadelphia to Gettysburg at 65 mph Reading to Gettysburg at 40 mph
Answer:
Philadelphia to Gettysburg.
Step-by-step explanation:
For Allentown to Gettysburg, the drive is
1hour= 55m
1m = [tex]\frac{1}{55}[/tex]hour
= 0.018 hour
For Philadelphia to Gettysburg, the drive is
1 hour = 65m
1m = [tex]\frac{1}{65}[/tex]hour
= 0.015 hour
For Reading to Gettysburg, he drive is
1 hour= 40m
1 m = [tex]\frac{1}{40}[/tex]hour
= 0.025 hour
Therefore, Philadelphia to Gettysburg has shorter drive in hours that is 1 metre is travelled in 0.015 hours
The number p and −1.2 are additive inverses. Drag and drop −1.2 and p to their correct positions on the number line. Drag and drop the label “Sum” to the sum of −1.2 and p.
Answer:
Value of p is 1.2.
Now drag and drop the values as per explanation.
Step-by-step explanation:
Additive inverse of any number means a number which can be added to the original number to get
Two numbers are said to be additive inverse of each other if sum of both numbers is 0. For example if 5 is the given number then -5 will be it's additive inverse. So to find additive inverse, we basically change the sign of number.
Given number p is additive inverse off -1.2 so p must be 1.2.
Sum will obviously be 0.
So to graph them on number line, we make a point at -1.2, 1.2 and at 0 for their sum.
How many pints are there in 33 gallons
Answer:
There are 264 pints in 33 gallons.
Step-by-step explanation:
Because there are 8 pints in 1 gallon.
Answer: 264 pints
Step-by-step explanation:
There are 8 pints in a gallon so you multiply that by 33 and you get your answer.
Determine the measure of q in sin q =0.4848 to the nearest degree.
Answer:
see explanation
Step-by-step explanation:
there are 2 possible values for q
Since sin q > 0 then q is in the first or second quadrant
sin q = 0.4848, then
q = [tex]sin^{-1}[/tex](0.4848) ≈ 29° ← first quadrant
or q = 180° - 29° = 151° ← second quadrant
Sales tax on an item is directly proportional to the cost of the item purchased. If the tax on a $600 item is $42, what is the sales tax on a $930 item?
1.2357 is a whole number or interger number?
Answer:
It is a terminating decimal.
Step-by-step explanation:
a bag contains 8 red ribbon, 7 green ribbons, and 3 yellow ribbons. if you randomly remove 3 of the ribbons from the bag without replacement, what is the probability that the first 2 are yellow?
The probability that the first 2 ribbons removed from the bag are yellow is [tex]\(\frac{1}{51}\)[/tex].
First, let's calculate the probability of drawing the first yellow ribbon. There are 3 yellow ribbons and a total of 8 red, 7 green, and 3 yellow ribbons, which sums up to 18 ribbons in total. So, the probability of drawing the first yellow ribbon is:
[tex]\[ P(\text{first yellow}) = \frac{\text{Number of yellow ribbons}}{\text{Total number of ribbons}} = \frac{3}{18} = \frac{1}{6} \][/tex]
After drawing the first yellow ribbon, there are now 17 ribbons left in the bag, with 2 yellow ribbons remaining. The probability of drawing the second yellow ribbon is:
[tex]\[ P(\text{second yellow | first yellow}) = \frac{\text{Number of remaining yellow ribbons}}{\text{Total number of remaining ribbons}} = \frac{2}{17} \][/tex]
Now, we multiply the two probabilities to find the probability that the first two ribbons drawn are yellow:
[tex]\[ P(\text{first two yellow}) = P(\text{first yellow}) \times P(\text{second yellow | first yellow}) = \frac{1}{6} \times \frac{2}{17} \]\[ P(\text{first two yellow}) = \frac{1 \times 2}{6 \times 17} = \frac{2}{102} = \frac{1}{51} \][/tex]