Answers
Answer: See below
Step-by-step explanation:
Isolate x for x-2y+2z=9
3x=9+2y
[tex]x=\frac{9+2y}{3}[/tex]....(1)
Substitute (1) into the 2nd equation
[tex]\begin{bmatrix}-\frac{9+2y}{3}+3y=-4\\ 2\cdot \frac{9+2y}{3}-5y+3z=16\end{bmatrix}[/tex]
[tex]\frac{3\left(-9+7y\right)}{3}=3\left(-4\right)[/tex]
7y=-3
y=-3/7
Substitute y=-3/7
[tex]\begin{bmatrix}3z+\frac{18-11\left(-\frac{3}{7}\right)}{3}=16\end{bmatrix}[/tex]
[tex]\begin{bmatrix}3z+\frac{53}{7}=16\end{bmatrix}[/tex]
Isolate z by substituting it
[tex]3z+\frac{53}{7}=16[/tex]
[tex]\frac{3z}{3}=\frac{\frac{59}{7}}{3}[/tex]
[tex]z=\frac{59}{21}[/tex]
For x =9+2y/3 substitute z=59/21 and y=-3/7
[tex]x=\frac{9+2\left(-\frac{3}{7}\right)}{3}[/tex]
[tex]x=\frac{19}{7}[/tex]
[tex]x=\frac{19}{7},\:z=\frac{59}{21},\:y=-\frac{3}{7}[/tex]
Answer:
(1, - 1, 3 )
Step-by-step explanation:
x - 2y + 2z = 9 → (1)
- x + 3y = - 4 → (2)
2x - 5y + 3z = 16 → (3)
Add (1) and (2) term by term to eliminate x
y + 2z = 5 → (4)
Multiply (2) by 2
- 2x + 6y = - 8 → (5)
Add (3) and (5) term by term to eliminate x
y + 3z = 8 → (6)
Subtract (6) from (4) term by term to eliminate y
- z = - 3 ( multiply both sides by - 1 )
z = 3
Substitute z = 3 into (4)
y + 2(3) = 5
y + 6 = 5 ( subtract 6 from both sides )
y = - 1
Substitute y = - 1, z = 3 into (1) and solve for x
x - 2(- 1) + 2(3) = 9
x + 2 + 6 = 9
x + 8 = 9 ( subtract 8 from both sides )
x = 1
solution is (1, - 1, 3 )
Related Questions
Sonja has a bank account balance of $1400. Each week, her balance changes by-$85.25. She wants to keep the balance above $377. How many weeks will Sonja's balance remain above $377? Select from the drop-down menu to correctly complete the statement. Sonja's balance will remain above $377 Choose... v weeks.
Answers
Answer:
12 Weeks
Step-by-step explanation:
$1400 - $377 = $1023
1023 / 85.25 = 12 Weeks
Answer:
Its will take Sonja 12 weeks
Step-by-step explanation:
II. Solve the problems involving variations. Show your complete solution. (3 points each) 1. If y varies directly as the square of x, and y = 32 when x = 2, find y when x = 5. 2. The force of attraction (F) between two opposite electrical charges varies inversely as the square of the distance (d) between them. If F = 18 when d = 10, find F when d = 15. 3. If y varies jointly as x and z, find y if x = 3, k = 6 and z = 9
Answers
Answer:
see explanation
Step-by-step explanation:
(1)
y varies directly as x² then the equation relating them is
y = kx² ← k is the constant of variation
To find k use the condition y = 32 when x = 2
32 = k × 2² = 4k ( divide both sides by 4 )
8 = k
y = 8x² ← equation of variation
When x = 5 , then
y = 8 × 5² = 8 × 25 = 200
(2)
Given F varies inversely as d² then the equation relating them is
F = [tex]\frac{k}{d^2}[/tex] ← k is the constant of variation
To find k use the condition F = 18 when d = 10
18 = [tex]\frac{k}{10^2}[/tex] = [tex]\frac{k}{100}[/tex] ( multiply both sides by 100 )
1800 = k
F = [tex]\frac{1800}{d^2}[/tex] ← equation of variation
When d = 15 , then
F = [tex]\frac{1800}{15^2}[/tex] = [tex]\frac{1800}{225}[/tex] = 8
(3)
y varies jointly as x and z then the equation relating them is
y = kxz ← k is the constant of variation
when x = 3, y = 6, z = 9 ,then
y = 6 × 3 × 9 = 162
5+2x=2x+6
do anyone know the answer
Answers
Answer:
no solutions
Step-by-step explanation:
5+2x = 2x+6
Subtract 2x from each side
5+2x-2x = 2x+6-2x
5 = 6
This is not a true statement so there are no solutions
-4x+ lly = 15
pls help me
x=2y
Answers
Answer:
y = 5
Step-by-step explanation:
-4(2y) +11y = 15
-8y + 11y = 15
3y = 15
y = 5
Select all the functions whose output is 4 when the input is 16.
A.
y = 2x
B. y=x?
2
= x
C.
y = x + 12
D.
y = x - 12
E. y = 1
x
Answers
Answer:
Please check your post. I did the best I could.
Step-by-step explanation:
A. y = 2x 4 = 2*(16)? Nope
B. y=x? I don't understand the equation: y = x? 2 = x?????
C. y = x + 12 4 = 16 + 12? Nope
D. y = x - 12 Same???
E. y = 1 x 4 = 16? Nope
Help please
Simplify the difference quotient (f(x + h) − f(x) )/h if h ≠ 0.
f(x) = x2 + 38
Answers
Answer:
2x + h
Step-by-step explanation:
[tex]\frac{f(x+h)-f(x)}{h}[/tex]
= [tex]\frac{(x+h)^2+38-(x^2+38)}{h}[/tex]
= [tex]\frac{x^2+2hx+h^2+38-x^2-38}{h}[/tex]
= [tex]\frac{2hx+h^2}{h}[/tex]
= [tex]\frac{h(2x+h)}{h}[/tex] ← cancel h on numerator/ denominator
= 2x + h
What is an
equation of the line that passes through the point (-8, -1) and is
parallel to the line x– 4y = 4?
Answers
Answer:
y=1/4x + 1
Step-by-step explanation:
first equation,,y=1/4x - 1
G1 = G2
G2 = 1/4
y+1 /x+8 =1/4
4y = X + 8 -4
4y =x + 4
y = 1/4x + 1
Two squares are congruent if and only if:
A. any two corresponding angles are
congruent
B. two pairs of corresponding angles are
congruent
C. all four pairs of corresponding angles are
congruent
D. a side of one is congruent to a side of the
other
Answers
D) a side of one is congruent to side of the other
Coz in the question it specified that both the shapes are square so obviously all angles are equal (90°)
Now we only need one side of it congruent .
Am I right? Should I've to add more info?(only about Rectangle and Square)
Answers
Answer:
Yh its right.
Step-by-step explanation:
Have a great day!
Answer:
yeah it is correct
Step-by-step explanation:
and well hruu
help me answer please
Answers
Answer:
Sorry
Step-by-step explanation:
12/15 =10/13 true or false
Answers
Answer:
False.
Step-by-step explanation:
whats the slope of the line that passes through (3,-3) with the slope of 3?
Answers
Answer:
y=3x-12
Step-by-step explanation:
Assuming that you're asking what's the equation of the line that passes through (3, -3) with the slope of 3.
y-y1=m(x-x1)
y-(-3)=3(x-3)
y+3=3(x-3)
y=3x-9-3
y=3x-12
Given the figure below, which statement correctly completes the following? ABE and HCD are what type of angles
Answers
Angles are classified based on their measures.
Classification of angles
The following are the classification of angles
Acute AnglesRight AnglesObtuse AnglesStraight linesReflex AnglesThe smallest angle is 0 degrees and the largest is 360 degrees.
When the measure of an angle is less than 90 degrees, such angle is an acute angle
When the measure of an angle is exactly 90 degrees, such angle is a right angle
Angles greater than 90 degrees, but less than 180 degree are obtuse angles, while angles that measure exactly 180 degrees are straight lines.
The last type of angle is the reflex angle, and it has a measure between 180 degrees and 360 degrees (exclusive)
The question is incomplete, so I gave a general explanation
Read more about angles at:
https://brainly.com/question/17972372
у — 3x 4
у > 4х +1
Anyone know the answe on how to solve this???
Answers
Answer:
Unbounded, infinite number of solutions
Step-by-step explanation:
1. Graph each inequality separately
2. Choose test point to determine which side of line needs to be shaded
3. The solution will be the the area where the shadings from both inequalities overlap
Since, the overlap almost covers the 2nd and 3rd quadrants there are an infintite number of solutions
A sandbox is a right rectangular prism
that is 6 ft long and 4 ft wide. The
sandbox can hold 48 ft of sand when
full. Lisa fills the sandboxfull of sand.
What is the height of the sand in the
sandbox?
Answers
In this diagram shown,
PQRS is a rectangle
Answers
Answer:
In the figure, PQRS is a rectangle. If the shaded area is 72 sq. cm,...In the figure, PQRS is a rectangle. If the shaded area is 72 sq. cm, find h
EXPLANATION
From the diagram, PQRS is a rectangle
Area of shaded part = 72sq.cm
But 72 = 3h - 4 + 6h - 4 + 4h
= 72 - 16h - 8
= 16h - 72 + 8
=16h = 80
h = 80/16
= 5cm
Cube root -125 over 216
Answers
Hope this helps
WILL GIVE YOU 50 POINT
Find M AFE.
Answers
Answer:
The answer is C
Step-by-step explanation:
25 + 57 + 34 = 116, so at least 116, not 116.
The angle is close to 90+45 = 135
assuming with this, the asnwer is C
Answer:
B. 173
Step-by-step explanation:
just add them all up! for DFE, BFC has the same sign, which i assume means it is the same thing
I need help with this question
Answers
Answer:
2√14m
Step-by-step explanation:
Hypothenus = 9m
Second side = x
third side = 5m
Using Pythagoras theorem
9² = x² + 5²
81 = x² + 25
x² = 81 - 25
x² = 56
x = √56
= √4 × √ 14
= 2√14m
X - 5V + 17 = 0 2x+ V + 1 = 0
Answers
Answer:
x= -[tex]\frac{10}{3}[/tex], v = [tex]\frac{7}{3}[/tex]
Step-by-step explanation:
x= - 10/3, v = 7/3
jus so u want to copy so u don't have to type ur self
Which inequality represents this statement?
A number is no more than 5.
n<5
n≥5
n>5
n≤5
Answers
Answer: the last one!! [tex]n\leq 5[/tex]
Step-by-step explanation:
When there is a line under it means no more than!
solve similar triangles (advanced)
Answers
Answer:
12 =x
Step-by-step explanation:
We can use proportions to solve
6 x
---- = -------
10 10+10
Using cross products
6 ( 10+10) = x*10
6*20 = 10x
120 = 10x
Divide by 10
120/10 = x
12 =x
Answer:
x = 12
Step-by-step explanation:
ABC ~ ADE
AB/AD = BC/DE
10/20 = 6/x
x = 20 x 6 ÷ 10
x = 12
can somebody plsss help me 7qt= pt pls help meeee
Answers
Answer:
8.40665 Step-by-step explanation:
The relationship between y and x is 9/3 which table represents this relationship and why?
Answers
Answer:
First one
Step-by-step explanation:
For every 1 in x the y goes up by 3
Luis has $4.00 from his allowance. He visits an arcade where soda costs $0.75 and video games cost $0.25. Which of the following expressions represents the amount of money Luis will have left if he buys one soda and plays "g" video games? *
5 points
4.00 - 0.25 - 0.75g
4.00 + 0.75 + 0.25g
4.00 - 0.75 - 0.25g
4.00 - 0.25 + 0.75g
Answers
Answer: c
Step-by-step explanation:
3 out of every 5 students in Mrs. Wilson's class have brown eyes. There are 20 students in Mrs. Wilson's class. How many of the students in Mrs. Wilson's class have brown eyes?
Answers
Answer:
12
Step-by-step explanation:
So there is 3:5 right, so 20 divided by 5 equals 4, there are four 5's in 20. Then 4 multiplied by 3 equals 12. So there are 12 students that has BROWN EYES.
Hope I Helped You :)
Can someone answer number 9 for and tell me if the others are correct i have a 64% in geometry trying to raise grade up to alteast 70%
Answers
Answer:
5, 6, 7, 8: correct
9: the Hi.nge theorem does not apply
Step-by-step explanation:
The Hi.nge theorem says that the side opposite the angle between two pairs of congruent sides is longer if the angle is larger. This theorem is applicable to problems 5-8, and your application is correct.
__
9) The Hi.nge theorem does not apply. The marked angles are not between the congruent sides. There is no necessary relation between the marked angles and the angles that are between the congruent sides, so no conclusion can be drawn regarding the relative lengths of AB and CD.
Find the measures of x and y
Answers
Answer:
x = 65°y = 25°Step-by-step explanation:
We can clearly see that 90 = x + 25. Let's solve for x.
=> 90 = x + 25=> x = 65°Since we found x, we can find y by substituting x in the equation 90 = x + y
=> 90 = x + y=> 90 = 65 + y=> y = 25°Conclusion:
Therefore, we found that:
x = 65°y = 25°Hoped this helped.
[tex]BrainiacUser1357[/tex]
completing the square: x^2+2x-7=8x
Answers
Answer: x = 7, x = -1
Step-by-step explanation: Move the term to the left side
x^2 + 2x - 7 = 8x
x^2 + 2x - 7 - 8x = 0
Combine like terms
x^2 + 2x - 7 - 8x = 0
x^2 - 6x - 7 = 0
x^2 - 6x - 7 = 0
a = 1
b = -6
c = -7
x = -(-6) + (-6)^2 - 4 x 1(-7)/ 2 x 1
Evaulate the Exponent
Multiply the numbers
Add the numbers
Evaluate the square root
Multiply the numbers x = 6 ± 8/2
To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.
x = 6 + 8/2
x = 6 - 8/2
Rearrange and isolate the variable to find each solution
x = 7
x = -1
9. Determine whether the parallelogram is a rectangle, square, or rhombus. G(-4,3), D(2,1) F(-5, 0) and E(1, -2)
Answers
Answer:
rectangle
Step-by-step explanation:
Answer:
Rectangle
Step-by-step explanation:
FG's slope is the opposite reciprocal of GD's, so they are perpendicular. The same with the other sides.
The opposite sides have the same length.