Solve the system of equations for x, y, and z. Please explain/step-by-step so I can understand. Thanks!
x + y = -7
y + z = -7
x - z = 0
Answer:
Step-by-step explanation:If we add the first and second equations, we will eliminate both the x and the y.
(2x + y + z) + (2x - y - z) = (3) + (9)
2x + y + z + 2x - y - z = 3 + 9
4x = 12
x = 3
So, x must equal 3.
Now, if we put 3 into each equation, we have the following equations:
6 + y + z = 3
6 - y - z = 9
3 + y - z = 0
Now, we can move all the numbers to the right side:
y + z = -3
-y - z = 3
y - z = -3
Now, we can try to eliminate another variable. If we add the second two equations, we can eliminate y.
(-y - z) + (y - z) = (3) + (-3)
-y -z + y - z = 0
-2z = 0
z = 0 (because, if we divide both sides by -2 to isolate z, 0/[-2] = 0)
So, now we have x = 3 & z = 0.
Now, pick any of the original equations and plug these values of x & z in, and you will get y.
2x + y + z = 3
2(3) + y + 0 = 3
6 + y + 0 = 3
6 + y = 3
y = -3
So, now we have x = 3, y = -3, & z = 0.
These are the only x, y, and z values that work for all 3 equations
who created NAACP? Please Help!!!
Answer:
NAACP Founder Charles Edward Russell
Step-by-step explanation:
from g o o g l e
Answer:
Derrick Johnson
Step-by-step explanation:
!!!!PLEASE HELP, PLATO TEST AND WILL GIVE FIRST CORRECT SERIOUS ANSWER BRAINLIEST!!!!
How many possible 3-digit area codes exist If 0 can't be the first digit, but digits can repeat?
A total of _?_ different 3-digit area codes exist.
The number of possible 3 - digit codes would be 900.
What is combination?"A combination is a way of selecting items from a collection."
For given situation,
It is a three digit code with 0 can't be the first digit.
This means the for this combination first digit can takes values from 1 - 9 and the second and third digits can take values from 0 - 9.
So, the number of possible 3 - digit codes would be,
9 × 10 × 10 = 900
Therefore, the number of possible 3 - digit codes would be 900.
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solve the equation 52y-29=10 for y.
Answer:
The answer is B
Step-by-step explanation:
please help!!!!!!!!!!!!!!!!!
Answer:
y = 2/3x + 4
Step-by-step explanation:
Slope-intercept form of a line:
y = mx + bwhere m = slope and b = y-interceptTo find the equation of a line, we need two points that the line passes through.
We can use the x-intercept and y-intercept of the line: (-6,0) and (0,4), respectively.
Find the slope of the line using these two points:
Slope formula: [tex]\displaystyle \bf \frac{y_2-y_1}{x_2-x_1}[/tex]Plug the two points into the formula.
[tex]\displaystyle \frac{4-0}{0-(-6)}[/tex]Subtract and simplify this fraction.
[tex]\displaystyle \frac{4}{6} =\frac{2}{3}[/tex]The slope of this line is m = 2/3.
Now we can look at the graph to determine the y-intercept of this line; the line intersects the y-axis at (0,4) so the constant b = 4.
We can use the slope, m, and the y-intercept, b, and substitute these values into the slope-intercept form of a line.
y = 2/3x + 4The equation of the line is y = 2/3x + 4.
Answer:
y = 2/3x + 4
Step-by-step explanation:
Slope-intercept form of a line:
y = mx + b
where m = slope and b = y-intercept
To find the equation of a line, we need two points that the line passes through.
We can use the x-intercept and y-intercept of the line: (-6,0) and (0,4), respectively.
Find the slope of the line using these two points:
Slope formula:
Plug the two points into the formula.
Subtract and simplify this fraction.
The slope of this line is m = 2/3.
Now we can look at the graph to determine the y-intercept of this line; the line intersects the y-axis at (0,4) so the constant b = 4.
We can use the slope, m, and the y-intercept, b, and substitute these values into the slope-intercept form of a line.
y = 2/3x + 4
The equation of the line is y = 2/3x + 4.
? divided by 1/3= 9/10
Answer:
3/10
Step-by-step explanation:
because if you use a calculator that answer would be 0.9 which is 9/10 as a decimal and if u did it yourself then you would do 1/3 x 9/10 and you would get 9/30 which is 3/10 if u simplify it
Can someone help me find out what’s the nth formula equation
An example is where it should look like 6•5^n-1
Or 7n-4 (that’s an example) if it’s correct I’ll mark u brainiest.
Part (a)
This sequence is arithmetic because we are adding 4 to each term to get the next term. Nice work on getting the correct answer here.
To get the nth term of an arithmetic sequence, we'll use the formula below
an = a + d(n-1)
In this case, a = 14 is the first term and d = 4 is the common difference
So we have these steps
an = a + d(n-1)
an = 14 + 4(n-1)
an = 14 + 4n - 4
an = 4n + 10
Answer: 4n + 10
============================================
Part (b)
This sequence is geometric since we multiply each term by 4
The common ratio is r = 4 and the start term is a = 2.
So the nth term is....
an = a*(r)^(n-1)
an = 2*(4)^(n-1)
Answer: 2*(4)^(n-1)
20% of the tickets sold at a school carnival were early-admission tickets. If the school sold 30 tickets in all, how many early-admission tickets did it sellz?
Answer:
6 early-admission tickets.
Step-by-step explanation:
20% / 100 = 0.2 ; Dividing a percentage by 100 will give you its actual value, instead of the percentage.
0.20 x 30 tickets = 6 early-admission tickets. ; What we're saying here is that since 0.20 and 20% are the same, we can figure out what 20% of 30 is, which is 6.
The left side of a logarithmic equation is shown.
log (3 + 2) + log (3 + 3) + log (7 - 2) = ...
When the equation is solved, the potential solutions are r = {5,3,1, 0}. Which solutions must be excluded?
A.-5, - 1,0
B.-5,8
C.-1,8
D.-5,-1
Without graphing, find the slope of the line that goes through (2, -1) and (6, 1). *
Answer:
m=1/2
Step-by-step explanation:
By counting, the y-value goes up 2 and the x-value goes up 4. This gives you 2/4, which simplifies to 1/2
how many real sixth roots does 1 have
Answer:
Im pretty sure it's 2, but Im not sure
Step-by-step explanation:
Simplify this radical expression, shown in the following image.
Answer:
ab²√b
Step-by-step explanation:
original problem can be changed to the square root of a²b²b²b
everything inside radical raised to the power of 2 can be moved outside so one ‘a’ and two ‘b’ come out giving you ab²
the b inside stays there because its exponent is one
Hello someone please help ASAP!!
Answer:
B
Step-by-step explanation:
A rational function range or possible answer cant be zero since on a rational function we dont want what we call vertical and horizontal asymptote are when y=0 or when x=0 so it can be any real number except 0.
Determine whether the graph represents a function. Explain.
Answer:
it does not represent a function
Step-by-step explanation:
it is not liner
Answer:yes
Step-by-step explanation:
each x value has one y value
If 4 units equal 36 inches, what is the value of 1 unit
Answer:
9 inches
Step-by-step explanation:
i divided 36 by 4
Answer:
9 inches
Step-by-step explanation:
You divide 36 by 4 which gives you 9 inch
Mark Brainliest Pls :(
what is 8 times 9x
15 points for the person that answers this
What are the solutions to the equation 3(X -4)(X +5) =0
solve for x and round to the nearest tenth. please help! i will mark brainliest.
Answer:
25 divided by 40=0.625 rounded is 0.6 is ur answer!
Step-by-step explanation:
the expression 2L+2w is used to find the perimeter of a rectangle with length L and width w. What is the perimeter of a rectangle with length 15cm and width 4cm?
Answer:
38cm
Step-by-step explanation:
p=2l+2w=2×15cm+2×4cm=30cm+8cm=38cm
which of the following quadratic will have a maximum value at x=3
(A) y=x^2-6x+19
(B) y=-4x^2+24x-21
(C) y=-2x^2+20x-49
(D) y=2x^2-3x+7
The x = 3 the quadratic equation D) y = 2x² -3x +7 will have maximum value.
The maximum and minimum values of a function:
The maximum and minimum values are the highest and lowest values that a function can reach over a particular domain.
For example, in a quadratic function, the maximum or minimum value is the highest or lowest point on the graph, respectively.
If a function has a maximum value, it means that the function reaches its highest point at a certain value of x.
On the other hand, if a function has a minimum value, it means that the function reaches its lowest point at a certain value of x.
Here we have
(A) y = x²-6x +19
At x = 3
y = (3)² - 6(3) + 19
= 9 - 18 + 19 = 10
(B) y = -4x²+24x -21
At x = 3
y = -4 (3)² + 24(3) - 21
= - 4(9) + 72 - 21
= 15
(C) y= -2x² +20x -49
At x = 3
y = - 2 (3)² + 20(3) - 49
= - 18 + 60 - 49
= - 7
(D) y = 2x² -3x +7
At x = 3
y = 2(3)³ - 3(3) + 7
= 18 - 9 + 7
= 16
Therefore,
The x = 3 the quadratic equation D) y = 2x² -3x +7 will have maximum value.
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triangle has vertices A( 0,0 ), B(2, 0) and C(0, 4). Angle ABC is transformed to angle A"B"C" by a rotation of 180 degrees clockwise about the origin, followed by a dilation with the origin as the center of dilation and scale factor of 3. find the coordinates of the vertices of angle A"B"C" and state whether the two triangles are similar or congruent.
Step-by-step explanation:
The pre-image points are A( 0,0 ), B(2, 0) and C(0, 4). The question is asking you to rotate the traingle 180°. Each rotation has its rules. For 180° rotation our rule is (x,y) → (-x,-y). Let's apply that to our points:
A( 0,0 ), → (0,0)
B(2, 0) → (-2,0)
and C(0, 4). → (0,-4)
Now we dilate our point ( remember the order in which you do transformation is important. Since it saids the rotation is followed that means the dilation is done second)
Our scale factor is 3. Remember when our scale factor is more than one our shape gets bigger. So our rule is (x,y) → (kx,ky). Let's apply our scale factor to all our points:
(0,0) → (0,0)
(-2,0)→( -6,0)
(0,-4) → (0,-12)
The answer is
A' (0,0) B' (-6,0) C' (0,-12)
The triangles will be similar not congruent. Remember congruent triangles have the same angles and same sizes. Similar angles have the same angles BUT different sizes. Every transformation produces congruent angles except for dilations.
simple true and false question
Answer:
true
Step-by-step explanation:
solve for b
-11b+7=40
Answer:-3
Step-by-step explanation:
40-7=33
33/-11=-3
(e) A cable customer feels that the monthly cost of cable TV increased the most. A grocery customer feels that the cost of a dozen eggs increased the most. Is it possible for both customers to be correct? Explain your response in one or two complete sentences.
Answer and explanation:
Cable tv cost changed by $67-$55= $12= 12/55×100=21.818%
Cable TV cost increased by 21.818% of original cost
Dozen of eggs cost changed by $2.19-$1.79= $0.4= 0.4/1.79×100= 22.636%
Dozen of eggs cost increased by 22.636% of original cost
Therefore both customers can't be correct, cost of a dozen of eggs increased the most.
the measure of the seven angles in a pentagon measure 87, 105, 135, and 92. what is the measurement of the last angle
Answer:
121
Step-by-step explanation:
If you add them all up, 87+105+135+92= 419
the pentagon is equal to 540 degrees so minus 540 by 419
then you get 121
Leroy borrowed $1500 at an annual simple interest rate of 12%. He paid $270 in interest. For what time period did Leroy borrow the money? Remember, your answer will be in years!
Step-by-step explanation:
well..this is the answer..using..time formula
Solve for h and explain your answer in terms of the original statement of the mountain
problem.
help will give brainliest
Answer:
18 and 32
Step-by-step explanation:
Noah and Lin are making paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 9 cubic inches of popcorn. What are two different possible values for height h and radius r for the cones?
height (h)=
radius (r)=
Answer:
So, The possible values of h and r are
1. r = 3 , h = 3
2. r = 1, h = 27
3. r = 2, h = 6.75
Step-by-step explanation:
P.S - The exact ques is -
As we know that Volume of cone , V = [tex]\frac{1}{3}\pi r^{2}h[/tex]
As given,
V = [tex]9\pi[/tex]
⇒[tex]\frac{1}{3}\pi r^{2}h = 9\pi \\ \frac{1}{3} r^{2}h = 9 \\r^{2}h = 27[/tex]
So,
The possible values of h and r are
1. r = 3 , h = 3
2. r = 1, h = 27
3. r = 2, h = 6.75
In Case I-
When r = 3, h = 3
(3)² ×3 = 9×3 = 27
Satisfied
Case II-
r = 1, h = 27
(1)²×27 = 1×27 = 27
Satisfied
Case III-
r = 2, h = 6.75
(2)²×6.75 = 4×6.75 = 27
Satisfied
If the radius of the base of the cone is 2 inches then the height of the cone should be 2.1485 inches.
What is the volume of the cone?The volume of the cone is the volume occupied by the cone. It is given by the formula,
[tex]\text{Volume of the cone}= \dfrac{1}{3} \pi r^2h[/tex]
where r is the radius of the base, and h is the height of the cone.
Now, as it is given that cones need to hold 9 cubic inches of popcorn. therefore, the volume of the cone can be written as,
[tex]\text{Volume of the cone}= \dfrac{1}{3} \pi r^2h\\\\9 \times 3 = \pi r^2h\\\\\dfrac{9 \times 3}{\pi}=r^2 h\\\\8.5943 = r^2 h[/tex]
Thus, the product of the square of the radius and the height of the cone should be such that the result is 8.5943.
Now, let the radius of the cone be 2 inches, therefore, the height of the cone is,
[tex]8.5943 = r^2 h\\\\8.5943 = (2^2) h\\\\h = 2.1485\rm\ in[/tex]
Hence, if the radius of the base of the cone is 2 inches then the height of the cone should be 2.1485 inches.
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Pls help will give Brainliest if right, Don’t guess