The given values of x, the corresponding values of y are:
1. When x = -2, [tex]\(y = \frac{19}{4}\)[/tex]
2. When x = -1, [tex]\(y = \frac{13}{4}\)[/tex]
3. When x = 0, [tex]\(y = \frac{7}{4}\)[/tex]
Let's solve the equation [tex]\(6x = 7 - 4y\)[/tex] for y:
[tex]\[6x = 7 - 4y\][/tex]
First, isolate the term with y:
[tex]\[4y = 7 - 6x\][/tex]
Next, divide both sides by 4 to solve for y:
[tex]\[y = \frac{7 - 6x}{4}\][/tex]
Now, we can find the values of y for each given value of x:
1. For x = -2:
[tex]\[y = \frac{7 - 6(-2)}{4} = \frac{7 + 12}{4} = \frac{19}{4}\][/tex]
2. For x = -1:
[tex]\[y = \frac{7 - 6(-1)}{4} = \frac{7 + 6}{4} = \frac{13}{4}\][/tex]
3. For x = 0:
[tex]\[y = \frac{7 - 6(0)}{4} = \frac{7}{4}\][/tex]
Therefore, for the given values of x, the corresponding values of y are:
1. When x = -2, [tex]\(y = \frac{19}{4}\)[/tex]
2. When x = -1, [tex]\(y = \frac{13}{4}\)[/tex]
3. When x = 0, [tex]\(y = \frac{7}{4}\)[/tex]
Complete question:
Solve equation for y. Then find the value of y for each value of x.
6x = 7 - 4y; x = -2, -1, 0
Final answer:
To solve the equation 6x = 7 - 4y for y, subtract 7 from both sides and divide by -4 to isolate y.
Explanation:
To solve the equation 6x = 7 - 4y for y, we need to isolate y on one side of the equation. First, we can move the 7 to the other side by subtracting it from both sides:
6x - 7 = -4y
Next, we can divide both sides by -4 to solve for y:
y = (6x - 7) / -4
A problem states: " there are 3 more baseballs than bats in a dugout. There are 15 bats and baseballs in the dugout in all. How many bats are in the dugout?" Let b represent the number of bats. Which expression represents the situation?
Answer:
The required equation is 2b+3=15.
Number of bats = 6
Number of baseballs = 9
Step-by-step explanation:
Let b be the number of bats.
It is given that there are 3 more baseballs than bats in a dugout.
Number of baseballs = b + 3
Number of bats and baseballs in the dugout in all is
[tex]Total=b+(b+3)[/tex]
[tex]Total=(b+b)+3[/tex]
[tex]Total=2b+3[/tex]
There are 15 bats and baseballs in the dugout in all.
[tex]2b+3=15[/tex]
The required equation is 2b+3=15.
Subtract 3 from both sides.
[tex]2b=15-3[/tex]
[tex]2b=12[/tex]
Divide both sides by 2.
[tex]b=6[/tex]
The value of b is 6. So, the number of bats is 6 and number of baseballs is 6+3=9.
What is the coefficient in the expression 3x/13+4?
The coefficient is the multiplication constant with a variable thus in the expression 3x/13 + 4 the number 3/13 will be the coefficient.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
It is known that the coefficient is the constant which is in multiplication with a variable.
In general, variables are represented by x,y, and z.
The given expression is 3x/13 + 4.
Here,x is a variable therefore the term 3/13 will be a coefficient.
Hence "The coefficient is the multiplication constant with a variable thus in the expression 3x/13 + 4 the number 3/13 will be the coefficient".
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What is 4 7/8 as a improper fraction
Distributive property 3(-7-8n)
Answer:
- 21 - 24 n.
Step-by-step explanation:
Given : 3(-7-8n)
To find : Solve by Distributive property .
Solution : We have given 3(-7-8n).
Distribute 3 over -7 and - 8n .
3 * - 7+ 3 * -8n .
- 21 + ( -24 n).
- 21 - 24 n.
Therefore, - 21 - 24 n.
Jessica earns 3% commission selling computers she sold 37500 worth of computers last month how much commission did Jessica earn last month
If NO = 17 and NP = 5x -6, find the value of X. Then find NP and NO.
What is the area of the triangle in the diagram?
Answer:
Option A is the answer.
Step-by-step explanation:
The area of the triangle is given as :
[tex]A=\frac{1}{2}\times base\times height[/tex]
Base will be given by :
[tex]\sqrt{(x1-0)^{2}+(y1-0)^{2}}[/tex]
= [tex]\sqrt{x1^{2}+y1^{2}}[/tex]
Similarly the height will be given by:
[tex]\sqrt{(x2-0)^{2}+(y2-0)^{2}}[/tex]
= [tex]\sqrt{x2^{2}+y2^{2}}[/tex]
Now, putting these dimensions in the formula we get:
[tex]\frac{1}{2}\times \sqrt{(x1^{2}+y1^{2})(x2^{2}+y2^{2})}[/tex]
Therefore, option A is the answer.
Red, green, and blue light rays each enter a drop of water from the same direction. Which light ray's path through the drop will bend the most, and which will bend the least? Why?
Type the number 3.14×103 in standard notation.
explain how ray ab an ac form both a line and an angle
Answer:
Rays AB and AC both have a point in common. That is the A point or normally called the vertex. From the point both go in different directions making a distance between both. This distance has a degree in which it separated that forms the angle. This also forms a line because both rays, in theory, are lines. They just tend to continue to infinity in just one direction.
Step-by-step explanation:
What conjecture can you make about the twentieth term in the pattern A, B, A, C, A, B, A, C?
Answer:
c
Step-by-step explanation:
ABACABACABACABACABAC
The pattern A, B, A, C repeats every four terms. Dividing the term number (20) by the length of the repeating sequence (4) yields 5 with no remainder, indicating the twentieth term will be the same as the fourth term - which is 'C'.
Explanation:The given pattern A, B, A, C, A, B, A, C is a repeating sequence that occurs in sets of four (A, B, A, C). To ascertain the twentieth term in this pattern, divide the term number by the length of the repeating sequence. That would be 20 divided by 4, which equals 5 with no remainder. That suggests the twentieth term will be the same as the fourth term in the sequence, which is C.
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Need some help! Graph the equations y=3x-5 and x+3y=6 on the same xy-plane. What is significant about these two lines? (Explain your answer)
Thanks!
Factor the expression x^2-16x+63
Standard printer paper has a thickness of 0.1mm. write an equation for a function that should approximately the thickness of a sheet of paper after nn folds. f(n)=f(n)=
Can someone help me work out this problem please?
The perimeter of a rectangular garden is 290 feet. If the length of the garden is 84 feet, what is its width?
Andrea wants to deposit money into a bank account that earns 4.5% simple interest. Use the formula l=Prt to find the ammount of money that she should deposit so that she earns $2800 after 4.5 years. Show and explain your work.
True or False
The sum of two trinomials is ALWAYS a trinomial
Answer:
True.
Step-by-step explanation:
If the two trinomials are given as
x³ + 2x² + 4 = 0
and
2x³ + x² - 3 = 0
Then by adding these trinomials we get
(x³ + 2x² + 4) + (2x³ + x² - 3) = 0
3x³ + 3x² + 1 = 0
Which proves that sum of two trinomials is ALWAYS a trinomial.
So the answer is True.
14 x 2/7= please show work!!!
These fractions can be easier when we put a 1 under the 14
Lets set up our fractions like this.
[tex] \frac{14}{1} * \frac{2}{7} [/tex]
Now solve across.
14 x 2 = 28
1 x 7 = 7
Now we have this fraction.
[tex] \frac{28}{7} [/tex]
Now this also means
28 ÷ 7 = 4
So the answer to your fractions is 4.
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What is the largest decimal value that can be represented by a 16 bit number?
What is the scientific notation for 12,400,000?
Suppose point e has a coordinate of 11, and eg= 8. what are the possible coordinates of point g?
So I will be assuming that EG = 8 is the length of the line segment EG. If that's the case, therefore the coordinates of G would simple be:
G =11 ± 8
G = 11 – 8, 11 + 8
G = 3, 19
So G can have a coordinate of 3 or 19.
1. After a 12% increase the cost of a new cooker is £190.40
Work out the original price of the cooker.
[3 marks]
Answer £
2. A running club has 270 members.
There are 25% more men than women in the running club.
2. (a) How many men are in the running club?
[2 marks]
Answer
2. (b) 40% of the men and 30% of the women also belong to a cycling club.
Work out the percentage of the whole membership that belong to a cycling club.
[2 marks]
Answer %
The required cost of the cooker after a 12% increase in the cost is given as £213.248.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
1.
Let the cost of the cooker be x,
According to the question,
x = 1.12 × 190.40
x = £213.248
Thus, the required cost of the cooker after a 12% increase in the cost is given as £213.248.
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Next school year, 2 out of every 7 students plan te take an elective computer course. if there are 2464 students at the high school, how many computer students should the school plan for?
I would help founding P-15=13-6p
how many solutions does 4(z-5)+2=4z-18 have
Answer:
infinitely many solutions
If angleA and angleB are vertical angles, and angleA = 38°, find the measure of angleB. A. B = 7° B. B = 57° C. B = 38° D. B = 142°
Answer:
C. B = 38°
Step-by-step explanation:
A vertical angle is created when two lines intersect, and are a pair of two non adjacent angles that are opposite from the origin, so both angles are going to measure the same.
Since both vertical angles are the same, both measure 38º.
Vertical angles are shown in the image:In this case the angle A would be the omega, and the B is the alfa.
Angles a and b are complementary angles. if the measure of angle a is 30 more than the angle of measure b find the measures of the two ang;es
Brad had a yard that he wants to fence. The dimensions of the yard are 40 feet by 55 feet. How much fencing would he need to enclose the yard?
(-4,7),(6,-1) what is the answer