Answer:
In Point Form: (x,y,z)= (3,6,-1)
In Equation Form: x=3, y=6, z=-1
Step-by-step explanation:
1) Solve for x
2x+2z=4 (Subtract 2z from both sides)
-2z -2z
2x= 4-2z (Divide 2 from both sides)
/2 /2
x=2-z
2) Substitute 2-z for x in
-x-y-z=-8
-(2-z)-y-z=-8
-2+z-y-z=-8 (Combine Like Terms)
-2-y=-8 (Add 2 to both sides)
+2 +2
-y=-6 (Divide -1 from both sides)
/-1 /-1
y=6
3) Substitute 2-z for x & 6 for y in
-4x+4y+5z+=7
-4(2-z)+4(6)+5z=7 (Get rid of parentheses)
-8+4z+24+5z=7 (Combine Like Terms)
9z+16=7 (Subtract 16 from both sides)
-16 -16
9z+=-9 (Divide 9 from both sides)
/9 /9
z=-1
4) Now find x by substituting -1 for z in
x=2-z
x=2-(-1)
x=2+1
x=3
Therefore the answer is:
In Point Form: (x,y,z)= (3,6,-1)
In Equation Form: x=3, y=6, z=-1
Why is looking at cash flow an important step in a good financial plan?
Answer:
To keep knowing how much money you have i recommend credit karma to help but money is very important
Step-by-step explanation:
A sample of size n is selected at random from an infinite population. as n increases, the standard error of the sample mean increases.
a. True
b. False
If a certain number is added to both the numerator and denominator of the fraction 7 6 76, the result is 3 2 32 . find the number.
Solve log 4x + log 13 = 0. Round to the nearest thousandth if necessary. a.0.019 b. 52 c.3.25 d. 0.311 Mathematics
Li is making beaded necklaces for each necklace, she uses 27 spacers, plus 5 beads per inch of necklace length. Write an equation to find how many beads Li needs for each necklace.
A. Input variable
B. Output variable
C. Equation
The output variable B (total number of beads needs for each necklace) equals 27 (number of spacers used) plus 5 times the input variable A (length of the necklace in inches). The resulting equation is B = 27 + 5A.
Explanation:In this question, we're trying to find out the total number of beads Li needs to create each necklace.
Let's define two variables:
A is the input variable, representing the length of the necklace in inches. B is the output variable, which stands for the total number of beads Li needs for each necklace.Li uses 27 spacers for each necklace regardless of its length and there are 5 beads for every inch of necklace. Given these facts, we can create an equation as follows:
B = 27 + 5A
In this equation, 27 is the number of spacers used, while 5A indicates that 5 beads are strung for each inch of the necklace.
To use this equation, simply replace the variable 'A' with the desired length of the necklace in inches. The result will give the total number of beads Li needs for that particular length of necklace.
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is the line through points P(1,9) and Q(9,6) perpendicular to the line through points R(-6,0) and S(-9,8)? Explain?
To determine if two lines are perpendicular, we can calculate their slopes. The line through P(1,9) and Q(9,6) has a slope of -3/8, and the line through R(-6,0) and S(-9,8) has a slope of -8/3. The product of these slopes is -1, indicating that the lines are perpendicular.
Explanation:To determine whether the line through points P(1,9) and Q(9,6) is perpendicular to the line through points R(-6,0) and S(-9,8), we can calculate the slope of each line. The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula: slope = (y2 - y1) / (x2 - x1).
For the line through P(1,9) and Q(9,6), the slope is (6 - 9) / (9 - 1) = -3/8.
For the line through R(-6,0) and S(-9,8), the slope is (8 - 0) / (-9 - (-6)) = 8/-3 = -8/3.
If the two lines are perpendicular, the product of their slopes should be -1. Let's check: (-3/8) * (-8/3) = 1. Therefore, the line through points P(1,9) and Q(9,6) is perpendicular to the line through points R(-6,0) and S(-9,8).
The school baseball team wants to have each player's name imprinted on the player's jacket. the cost is $75 plus $8.50 for each name. write a function to represent the cost c(n) for n names. what is the cost to have names printed on 25 jackets
Jim bought a $576 TV with the cash in his wallet. He now has $137 in his wallet. Write and solve an equation that shows how much he originally had in his wallet.
Final answer:
Jim originally had $713 in his wallet before purchasing the TV. We found this by setting up the equation x - $576 = $137, which represents the situation before and after the purchase, and solving for x.
Explanation:
Jim bought a $576 TV with the cash in his wallet and now has $137 left. To find out how much money Jim originally had, we can write and solve a simple equation. Let's denote the amount of money Jim originally had as x. After buying the TV, he spent $576, so the money left is $137. This gives us the equation x - $576 = $137.
To solve for x, we add $576 to both sides of the equation, which gives us x = $137 + $576. Therefore, x = $713. So, Jim originally had $713 in his wallet before buying the TV.
The set of all x values that make up the function is called the
When you do a negative number minus a negative number do you get a positive?
y1=4(5x-1), y2-=5x+1 and y1 is 344 more than 2 times y2
What is the value of x? I don't know if I'm right so did i get this answer right? please help i need help ASAP
3/5 =0.6
40 *0.6 = 24
2x+10 =24
2x=14
x = 14/2 = 7
The average value of the function v(x)=6/x2 on the interval [1,c] is equal to 1. find the value of
I NEED QUICK HELP QUICK!!! PLEASE HELP ME SOMEONE!! THANK YOU!!
Which graph does NOT represent a function?
Answer:
ITS B!!!
Step-by-step explanation:
A share of stock in the Lofty Cheese Company is quoted at 251/4. Suppose you hold 30 shares of that stock, which you bought at 201/4. If you sell your stock at 251/4, how much profit do you get or lose?
To calculate the profit from buying and selling stocks, subtract the buying price per share from the selling price per share and then multiply by the number of shares. For 30 shares of the Lofty Cheese Company stock, the profit would total $150.
The question involves calculating the profit from buying and selling stocks. When selling the Lofty Cheese Company stock quoted at 251/4 per share, we need to calculate the profit based on the purchase price (201/4) and the selling price (251/4) for 30 shares.
To find the profit per share, subtract the buying price from the selling price:
Selling Price per Share = 251/4
Buying Price per Share = 201/4
Profit per Share = Selling Price - Buying Price = 251/4 - 201/4 = 5
Then, multiply the profit per share by the total number of shares:
Number of Shares = 30
Total Profit = Profit per Share times Number of Shares = 5 times 30 = 150
Therefore, you would realize a total profit of $150 by selling your 30 shares of the Lofty Cheese Company stock.
Maddie throws a baseball from third base to first base. The four 90-foot lines between the bases form a square. Which number is the best estimate of how far Maddie throws the baseball?
What is the height of the ramp, to the nearest foot?
Question 4 options
90 feet
130 feet
150 feet
180 feet
A cyclist pedals up a hill that has a 13° angle. If the cyclist pedals up the hill for 10 kilometers, what is the change in her elevation, x ?
0.22 kilometer
9.7 kilometers
2.2 kilometers
45.0 kilometers
Jared needs 2.4 micrograms of vitamin B-12 each day. Today, Jared drank a serving of milk containing 0.44 micrograms of B-12 and ate a lamb chop containing 1.224 micrograms of B-12. Which method can Jared use to find the number of micrograms of vitamin B-12 he still needs?
Answer:
the answer is d
Step-by-step explanation:
What is the equation of a line that passes through the point (4, 2) and is perpendicular to the line whose equation is y=x/3 −1 ?
alphametic FOOD+FOOD=SHOP
A student has some $1 and $5 bills in his wallet. He has a total of 14 bills that are worth $38. How many of each type of bill does he have?
Find two numbers whose difference is 168 and whose product is a minimum
The two numbers whose difference is 168 and whose product is a minimum will be -50 and 50.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, two numbers whose difference is 168 and whose product is a minimum.
Suppose the two numbers are x and Q respectively.
If x - Q = 100, then Q = 100 + x
The function of their product is minimum,
F(x) = xQ
F(x) = x (100 + x)
F(x) = x² + 100x
Find the equation's lowest point on a graph. At x, the lowest point is -50,
f(x) = -2500
If,
Q = 100 + x
Q = 100 + (-50)
Q= 50
The product of the number is,
xQ = 50 × -50
xQ = -2500
Thus, the two numbers whose difference is 168 and whose product is a minimum will be -50 and 50.
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mnmn if m=8m=8 and n=3n=3.
Answer: 8x8x8=512
Step-by-step explanation:
ASAP PLEASE ANSWER
Given △ABC≅△JKL, m∠B=55°, and m∠L=25°, what is the measure of ∠J? Enter your answer in the box. °
Answer: [tex]\angle{J}=100^{\circ}[/tex]
Step-by-step explanation:
Given: △ABC≅△JKL,
m∠B=55°, and m∠L=25°
We know that if two triangles are congruent then their corresponding angles are equal.
∴ m∠A=m∠J
m∠B=m∠K=55°
m∠C=m∠L=25°
Now, by angle sum property in triangle JKL we have
[tex]\angle{J}+\angle{K}+\angle{L}=180^{\circ}\\\\\Rightarrow\angle{J}+55^{\circ}+25^{\circ}=180^{\circ}\\\\\Rightarrow\angle{J}=180^{\circ}-55^{\circ}-25^{\circ}\\\\\Rightarrow\angle{J}=100^{\circ}[/tex]
please help me with this, thanks !!
Need help! Would greatly appreciate help
Which transformation is not isometric?
Find points on the line 3x+5y=15 that are equidistant from the coordinate axes.
Final answer:
Points on the line 3x+5y=15 which are equidistant from the coordinate axes are (15/8, 15/8) and (-15/8, -15/8).
Explanation:
To find points on the line 3x+5y=15 that are equidistant from the coordinate axes, we need a point where the x and y coordinates are equal because the distances to the x-axis and y-axis from any point (x, y) are |x| and |y|, respectively. Since the line is equidistant from both axes, we require |x| = |y|.
Substituting y for x in the equation of the line, we get 3x + 5x = 15, which leads to 8x = 15, and therefore x = 15/8. Since we are looking for points equidistant from the axes, we have to check the signs of x and y to ensure they are at equal distances from both axes. Thus, the possible points are (15/8, 15/8) and (-15/8, -15/8).
PLEASE HELP PLEASE PLEASE PLEASE!!!!!!!!!!!!!!!!!!!!!!!
Evan earns $12 an hour plus $15 an hour for every hour of overtime. Overtime hours are any hours more than 30 hours for the week. Part A: Create an equation that shows the amount of money earned, M, for working x hours in a week when there is no overtime.
Part B: Create an equation that shows the amount of wages earned, T, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 30 hours.
Part C: Evan earned $510 in 1 week. How many hours (regular plus overtime) did he work?
ms.snork brought two steaks that weighed 2.96 lb and 3.48 lb. If the meat cost $3.60 per pound, what was the total cost of the steaks ?
The total cost of the steaks that Ms. Snork brought will be $23.184.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Ms. Snork brought two steaks that weighed 2.96 lb and 3.48 lb. If the meat cost $3.60 per pound. Then the total cost of the steaks will be given as,
⇒ 2.96 x $3.60 + 3.48 x $3.60
⇒ $10.656 + $12.528
⇒ $23.184
The total cost of the steaks that Ms. Snork brought will be $23.184.
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When Seb reconciles his accounts, what is the first step he should take?
Answer:
Seb should check if all is records are accurate and he should include all the transactions.
Step-by-step explanation:
When Seb reconciles his accounts, what is the first step he should take?
We can say that reconciling an account means proving that an account balance is correct.
For this, we need all the correct and accurate transactions and figures.
So, Seb should check if all is records are accurate and he should include all the transactions.