Answer:
[tex]x=5+\frac{29}{z}-\frac{y}{z}[/tex]
[tex]y=5z+29-xz[/tex]
Step-by-step explanation:
Given: [tex](4z^2+7z-8)(-z+3)=-4z^3+xz^2+yz-24[/tex]; find x and y.
Let's start with finding x first. Let's distribute the left side of the equation.
[tex]-4z^3+5z^2+29z-24=-4z^3+xz^2+yz-24[/tex]
Let's move everything we can to the left side of the equation. Some things will cancel out.
[tex]5z^2+29z=xz^2+yz[/tex]
Now, let's move the term that includes [tex]x[/tex] to the left side of the equation. Everything else should be moved to the right.
[tex]-xz^2=-5z^2-29z+yz[/tex]
Let's get rid of the negative sign in front of [tex]x[/tex] by dividing both sides by -1.
[tex]xz^2=5z^2+29z-yz[/tex]
To get [tex]x[/tex] completely isolated, divide both sides by [tex]z^2[/tex].
[tex]\frac{xz^2}{z^2}=\frac{5z^2}{z^2}+\frac{29z}{z^2}-\frac{yz}{z^2}[/tex]
Simplify.
[tex]x=5+\frac{29}{z}-\frac{y}{z}[/tex]
Let's solve for y. We will start with the distributed and simplified equation to make it easier.
[tex]5z^2+29z=xz^2+yz[/tex]
Now, let's move the term that includes [tex]y[/tex] to the left side of the equation. Everything else should be moved to the right.
[tex]-yz=-5z^2-29z+xz^2[/tex]
Again, let's get rid of the negative sign in front of the [tex]y[/tex] by dividing both sides by -1.
[tex]yz=5z^2+29z-xz^2[/tex]
To isolate y, divide both sides by z.
[tex]\frac{yz}{z}=\frac{5z^2}{z}+\frac{29z}{z}-\frac{xz^2}{z}[/tex]
Simplify.
[tex]y=5z+29-xz[/tex]
Answer:
x = 5
y = 29
Step-by-step explanation:
Edge Answer
remmi wrote the equation of the line y=1/3(x+2). He solved for x and got x=3y-2. which following is an equivalent equation for x?
Answer:
Answer you chosen in the option is correct!
Step-by-step explanation:
Here we can see that Remmi got x =3y -2
if we need to match it from given options we can take 3 as common factor from the right side ,Since we dont have 3 common in second term but using common number of property of numbers we can pull 3 from both terms because of which 3 is now in denominator of second term which is 2/3
therefore equation becomes as third option so answer chosen by you is correct
Answer:
C.
Step-by-step explanation:
Help me with this !!!!!!
Answer:
Step-by-step explanation:
what is the scale factor
Answer:
The scale factor is 1/3
sidaanth kept a chart of his savings .which point represents this relationship?
Point B in the graph represents the relationship to Sidhaanth's savings.
How do we read a graph in the Coordinate (x-y) plane?A point on the graph can be read as a point (x, y) where y is the perpendicular distance of the point from the x-axis and x is the perpendicular distance of the point from the y-axis.
How do we solve the given question?We are asked to tell the point that represents Sidhaanth's savings among the points A and B.
We analyze each point like this:
Point A:
The perpendicular distance from the y-axis (x) = 1 unit.
The perpendicular distance from the x-axis (y) = 28 units.
∴ The point is (1, 28) which says that Sidhaanth's weekly savings are $28.00. This is not true, as his weekly saving, as seen from the table is $7.00.
So, point A doesn't represent the relationship to Sidhaanth's savings.
Point B:
The perpendicular distance from the y-axis (x) = 2 units.
The perpendicular distance from the x-axis (y) = 14 units.
∴ The point is (2, 14) which says that Sidhaanth saves $14.00 every 2 weeks. This is true, as we can see from the table that his savings in the 2nd week are $14.00.
So, point B represents the relationship to Sidhaanth's savings.
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Answer:B
Step-by-step explanation:
Because the graph shows times 7 point be shows 2(weeks) and 14(dollars) and also that’s what the table shows
The diameter of your bicycle wheel is 34 inches. What is it’s radius
Answer:
17 inches
Step-by-step explanation:
1/2(diameter)=radius
1/2(34)=radius
17 inches
-2x+15y=-24
2x+9y=24
solve the system of equation
Answer:
x = 12, y = 0
Step-by-step explanation:
Use elimination.
24y = 0
y = 0
Then plug back into the second equation.
2x + 9(0) = 24
2x = 24
x = 12
Plug back into the first equation to check.
PLEASE ANSWER ASAP!!!
How do states with no personal income tax raise money money for public services?
Answer:
States with no personal income tax raise money for public services through their property tax.
Step-by-step explanation:
Answer:
States with no personal income tax raise money for public services through their property tax.
Step-by-step explanation:
Step-by-step explanation:
what series of transformation from ∆ ABC to ∆ DEF shows that ∆ ABC =~∆ DEF
Reflection? I'm not sure
It is reflection, I took a mini quiz on this
Which of the following statements is false?
Answer:
A
Step-by-step explanation:
Volume and capacity measure the same idea. They each describe how much something can hold. Volume measures it in cubic units while capacity measures it in ounces, liters, etc. It can be almost any measurement. They will not have the same measurement type or number since each measurement will give different numbers.
a factory buys the boxes it needs to form of flat nets. What advantages might the factory have in doing t his?
THE ADVANTAGE IS: They can store more containers for higher stocks and space.
The difference between 48 and 13 algebra numeral expression.
Numerical expressions contain numbers, while algebraic expressions contain variables and numbers.
Numerical Expression
"Difference" indicates that we'll be subtracting 13 from 48.
48 - 13 = 35
Algebraic Expression
Variables represent the unknown number, in this case the difference between 48 and 13. Let d represent the difference between the two.
48 - 13 = d
35 = d
Please help me answer this question!!! and explain bc im very stupid and my grades are low. 15 points
Answer:
17
Step-by-step explanation:
The top angle is 90 degrees, so I would assume that m<1 is 90 degrees. Plugging this into the equation gives us 90 = 4y + 22. Subtract 22 from both sides, and we get 68 = 4y. Divide both sides by 4, and we get 17 = y.
You move down 3 units and up 7 units. You end at (-5, 2). Where did you start?
Answer: (-5, -2) is where you started.
solve this equation for x. round your answer to the nearest 0 = ln (x+6)
Answer: [tex]x=-5[/tex]
Step-by-step explanation:
To solve this exercise you need to remember the following:
[tex]e^{lnx}=e^{lny}[/tex] → [tex]x=y[/tex]
Therefore, keeping the above on mind, you can solve for x as following:
[tex]e^0=e^{ln(x+6)}[/tex]
[tex]e^0=x+6[/tex]
Remember that, by definition: [tex]a^0=1[/tex], then you have:
[tex]1=x+6[/tex]
Subtract 6 from both sides of the equation.
Then the value of x is:
[tex]1-6=x+6-6\\x=-5[/tex]
Select all that apply
Which of the following names a ray in the drawing
Answer:
CB And A F
Step-by-step explanation:
Answer:
The answer is CB.
Step-by-step explanation:
A ray is a line that starts from a point and travels in a particular direction to infinity.
Here, CB is the ray as it is originating from a point C and travelling up to infinity in a single direction beyond B.
The ray is represented by a arrow in one direction.
The perimeter of a triangle below is 4x+3y. Find the measure of the missing side. (One side is x-y, the other is x+y)
Answer:
P = 2X + 3Y
Step-by-step explanation:
Perimeter of a triangle is the sum of its three sides, so:
P is the side to find
4x + 3y = (X-Y) + (X+Y) + P
We can to eliminate -y and y, so:
4x +3y = 2X + P
Reducing terms:
4x - 2x + 3y = P
P = 2X + 3Y
Best regards
The missing side of the triangle can be found by subtracting the known sides from the total perimeter. So, in this case, the measure of the missing side is 2x+3y.
Explanation:The subject of this question is Mathematics and it's applicable for a High School level. The question is asking to find the measure of the missing side of a triangle with a given perimeter and two sides. In this scenario, the perimeter of a triangle is given as 4x+3y, and two sides of the triangle are mentioned as x-y and x+y.
The perimeter of a triangle is the sum of the lengths of all its sides. If two sides are given as x-y and x+y, and the perimeter is 4x+3y, then the missing third side can be determined by subtracting the lengths of the known sides from the total perimeter, i.e., the missing side = perimeter - (sum of known sides) = 4x+3y - [(x-y) + (x+y)].
Simplifying this, we get: missing side = 4x+3y - 2x = 2x+3y. So, the missing side of the triangle has the measure of 2x+3y.
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Macy was asked to compare the two ratios 4:5 and 19 to 30.
Answer:
Macy did not find the correct equivalent fraction with denominator 30.
Step-by-step explanation:
We need to compare two ratios 4:5 and 19:30.
First we will write them in the form of fraction:
[tex]\displaystyle\frac{4}{5} \text{ and } \displaystyle\frac{19}{30}[/tex]
Now, in order to compare these ratios, we fave to make their denominators equal that is find equivalent fraction with denominator 30.
[tex]\displaystyle\frac{4\times 6}{5\times 6} \text{ and } \displaystyle\frac{19}{30}[/tex]
[tex]\displaystyle\frac{24}{30} \text{ and } \displaystyle\frac{19}{30}[/tex]
Now, we have to compare the two fractions on the basis of their numerators.
It is clear that:
[tex]\displaystyle\frac{24}{30} > \displaystyle\frac{19}{30}[/tex]
3(14-5x) = 72
what is x
Answer: x = -2
Step-by-step explanation:
The original problem is 3(14-5x) = 72. First, multiply 3 by the contents of the parentheses:
42 - 15 x = 72
Next, subtract 42 from each side:
-15x = 30
Now divide both sides by -15:
X = -2
Answer: -2
Step-by-step explanation:
First you begin by taking 3 and multiplying is by 14 and -5x:
(3 X 14) - (3 X -5x) = 72
42 - 15x = 72
Next, you subtract 42 from each side to isolate the variable.
-15x = 30
Next you divide each side by -15 to get the value of x.
X = -2
I hope this helps!
What are the x and y intercepts of y=x^2+3x-10 (show all steps please)
Answer:
X-int: (2,0) , (-5,0)
Y-int: (0,-10)
Step-by-step explanation:
To solve for the x-int, set y to 0.
0= x^2 + 3x - 10
0= (x-2)(x+5)
x= 2, and -5
To solve for the y-int, set x to 0.
y= (0)^2 + 3(0) - 10
y= -10
Circle A has radius 4 feet. Circle B has radius 9 feet. What is the ratio of the area of circle A to the area of circle B?
23
49
827
1681
Answer:
[tex]\large\boxed{\dfrac{16}{81}}[/tex]
Step-by-step explanation:
The formula of an area of a circle:
[tex]A=\pi r^2[/tex]
r - radius
Circle A:
radius = 4 ft. Substitute:
[tex]A_A=\pi(4^2)=16\pi\ ft^2[/tex]
Circle B:
radius = 9 ft. Substitute:
[tex]A_B=\pi(9^2)=81\pi\ ft^2[/tex]
The ratio:
[tex]\dfrac{A_A}{A_B}=\dfrac{16}{81}[/tex]
NEED HELP PLZ
Paul pays property tax in Dallas. On which of the
following might Paul pay property tax?
A clothing
B office space
C groceries
D salary
Answer:
B office space.
Step-by-step explanation:
What it says is Paul pays property tax. Property will be a building of some sort so office space is your answer.
a shop rents out bikes for $12 a day and also charges for $9 an hour for people to use.if chimmy chong rented a bike and the total bill came out to be $75, for how long did he rent the bike out for?
Answer:
7 Hours
Step-by-step explanation:
$75-$12 per day is 63
$63 divided by $9 per hours is 7
Hope this helps and have a blessed day!
What is the solution of the system of equations?
y = x - 10
y = 2x + 5
Final answer:
To solve the system of equations y = x - 10 and y = 2x + 5, we equate both expressions for y, solve for x, and find x = -15. Substituting x back into either equation gives y = -25, making the solution (x, y) = (-15, -25).
Explanation:
The question seeks the solution of the system of equations given by y = x - 10 and y = 2x + 5.
To find the solution, one can use the substitution method, where the expression for y in one equation is substituted into the other equation.
This gives us two equations stated to have the same value of y, which means they can be set equal to each other: x - 10 = 2x + 5.
Solving this equation for x involves moving x terms to one side and constants to the other, yielding x = -15. Substituting x back into either original equation (e.g., y = x - 10), we find y = -25.
Thus, the solution to the system of equations is x = -15 and y = -25.
what is -4,5 reflected across the x axis
The answer to what is -4,5 reflected across the x axis is 4,5 bwcause its like a opposite
The coordinate obtained when -4,5 reflected across the x axis is (-4,-5).
What is Transformation?The process of reflecting, dilating, rotating or translating is called Transformation.
The coordinate is (-4,5)
When a coordinate is reflected over x axis, the coordinate changes in following form:
(x,y) -------> (x,-y)
The new coordinate will be (-4,-5).
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please help
Jen slices a cone with a height of 10 centimeters and a radius of 4 centimeters using a plane that is perpendicular to the base and that passes through the vertex of the cone. What is the area of the cross-section in square centimeters?
A cone that is sliced through the vertex would make the shape of a triangle.
You are told the h eight is 10 cm and the radius is 4 cm.
The radius would be half the base, so the base would be 4 * 2 =8 cm.
The area of the triangle is found by multiplying the base by the height, then dividing by two.
Area = 8 x 10 = 80
80 / 2 = 40 square centimeters.
Answer:
A cone that is sliced through the vertex would make the shape of a triangle.
You are told the h eight is 10 cm and the radius is 4 cm.
The radius would be half the base, so the base would be 4 * 2 =8 cm.
The area of the triangle is found by multiplying the base by the height, then dividing by two.
Area = 8 x 10 = 80
80 / 2 = 40 square centimeters.
Step-by-step explanation:
What is the measure of an arc intercepted by an inscribed angle whose measure is 88 degrees
44
88
176
None of the above
Answer:
[tex]176\°[/tex]
Step-by-step explanation:
we know that
The inscribed angle is half that of the arc it comprises.
so
In this problem
Let
x-----> the measure of an arc intercepted by an inscribed angle
[tex]88\°=\frac{1}{2}(x)[/tex]
[tex]x=2(88\°)=176\°[/tex]
Option (C) The intercepted arc of an inscribed angle measuring 88 degrees has a measure of 176 degrees, which is twice the size of the inscribed angle according to the Angular Measurement of Arcs property.
The measure of an arc intercepted by an inscribed angle is twice the measure of the inscribed angle. Given that the inscribed angle measures 88 degrees, the intercepted arc would therefore measure 176 degrees. This is because according to the Angular Measurement of Arcs property, an arc's measure is twice that of its corresponding inscribed angle (Theorem 7 in the reference material).
Question 3 mathematics
Answer:
Part a) The area of the shaded region is [tex]41\ ft^{2}[/tex]
Part b) The area of the nonshaded region is [tex]87\ ft^{2}[/tex]
Step-by-step explanation:
we know that
The total area is equal to the area of the shaded region plus the area of the nonshaded region
step 1
Find the total area
The total area is equal to the area of the rectangle
[tex]A=8(16)=128\ ft^{2}[/tex]
step 2
Find the area of the shaded region
The area of the shaded region is equal to the area of the trapezoid minus the area of the smaller square
so
[tex]A=\frac{1}{2}[(8-2)+3)](8+2) -2^{2} \\ \\A=\frac{1}{2}[9](10) -4\\ \\A=41\ ft^{2}[/tex]
step 3
Find the area of the nonshaded region
The area of the nonshaded region is equal to the total area minus the area of the shaded region
so
[tex]A=128\ ft^{2}-41\ ft^{2}=87\ ft^{2}[/tex]
The ratio of the perimeters of two rectangles is 5 to 8 . the perimeter of the larger rectangle is 72 inches. What is the perimeter of the smallest triangle?
ANSWER
45 inches.
EXPLANATION
Let the perimeter of the smaller rectangle be x.
Then, the ratio of the perimeter of the smaller rectangle to the larger rectangle is
[tex]x:72=5:8[/tex]
We change the ratio to fraction to obtain,
[tex] \frac{x}{72} = \frac{5}{8} [/tex]
Multiply both sides by 72.
[tex]x = \frac{5}{8} \times 72[/tex]
[tex]x = 5 \times 9 = 45[/tex]
The perimeter of the smaller rectangle is 45 inches.
Answer:
45 inches
Step-by-step explanation:
The 72 inches is 8 parts of the ratio, hence
[tex]\frac{72}{8}[/tex] = 9 inches ← 1 part of the ratio
5 parts = 5 × 9 = 45 inches ← smaller perimeter
write a division equation to represent the repeated subtraction for 32 take away 8 is 24
Answer:
32÷8
Step-by-step explanation:
Division is like repeated subtraction
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The problem that would repeatedly take away 8 from 32 is 32÷8
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The same is true for 25÷5, it is asking how many times can 5 be taken away from 25, hence repeated subtraction
Which of the following graphs is decreasing for all values of x?
A. X
B. Y
C. Z
D. W
Answer:
y
Step-by-step explanation:
please give branleist
Graph-Y is decreasing from the beginning for all the values of 'x'.
What is the graph of an equation?The graph of an equation represents the nature of that equation by plotting the points.
Four graphs W, X, Y, and Z are given.
1. Graph-W is constant up to a certain values of 'x'. After that it is increasing for the rest of the values of 'x'.
2. Graph-X is increasing from the beginning. After that it is constant for certain values of 'x'. Then the graph is increasing.
3. Graph-Y is decreasing from the beginning for all the values of 'x'.
4. Graph-Z is increasing from the beginning. After that it is decreasing.
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