Step-by-step explanation:
rewriting the third equation
[tex]4x - y + z = - 5 \\ - x + y - z = 5 \\ 2x - y - z = 1[/tex]
add to second equation to the first
[tex]4x - y + z = - 5 \\ + (- x + y - z )= 5 \\ = 3x = 0 \\ x = 0[/tex]
[tex] - y + z = - 5 \\ y - z = 5 \\ - y - z = 1[/tex]
I add third equation to the second
[tex]y - z = 5 \\ + ( - y - z) = 1 \\ = - 2z = 6 \\ z = - 3[/tex]
substitute z = -3 into either one of the other two equations and solve for y
[tex] - y + ( - 3) = - 5 \\ - y - 3 = - 5 \\ - y = - 2 \\ y = 2[/tex]
x = 0
y = 2
z = -3
Answer:
x=0,z=-3,y=2
Step-by-step explanation:
sry for late response
If matrix A and B are inverses of each other,then A times B=I,where I is the identity matrix
We want to see if the given statement is true. (which is, by definition).
We define two inverse matrixes A and B as two matrixes that when multiplied are equal to a matrix with only ones in the diagonal.
This matrix with only ones in the diagonal (and zeros every else) is called the identity matrix.
Then the statement:
"If matrix A and B are inverses of each other, then A times B=I,where I is the identity matrix"
Is true by definition of inverse matrixes.
If you want to learn more, you can read:
https://brainly.com/question/4017205
Whats this game called
Answer:
It's Blurry
Step-by-step explanation:
sorry I don't lnow
how do you turn 2/7 into a decimal (round in the Hundreds) Please helpppp
Answer:
Step-by-step explanation:.
Someone help me with this I will make you brain
A car manufacturer is reducing the number of incidents with the transmission by issuing a voluntary recall. During 2 week of the re call, the manufacturer fixed 192 cars. In week 4, manufacturer fixed 184 cars. Assume that the reduction in the number of cars each week is linear. Write an equation function form to show the number of cars seen each week at the mechanic
Answer:
f(x)=-2x+192
Step-by-step explanation:
192-184=8
8/2=4 each week there is a reduction of 4 cars.
If you substitute the week into x you will find that the equation works.
12x - 4=4(2x+1) What is x?
Answer:
x = 2
Step-by-step explanation:
12x - 4 = 4(2x + 1)
Distribution first
12x - 4 = 4(2x) + 4(1)
12x - 4 = 8x + 4
Isolate x to one side
12x - 4 - 8x = 8x - 8x + 4
12x - 8x - 4 = 4
4x - 4 = 4
4x - 4 + 4 = 4 + 4
4x = 8
4x/4 = 8/4
x = 2
PLEASE ANWSER CORRECTLY!! I WILL MARK BRAINIEST!! LOOK AT PICURE!!
Answer:
the answer is (2,4) because of going down one unit you end up at (-2,4) and reflecting that you get (2,4)
which ordered pair is a solution of the equations y=-5/4x-2
A.(-8,8)
B.(8,-8)
C.(-8,-12)
D.(1, 15/4)
The polynomial f(x) = x³-x²+px+q, where p and q are constants, has remainder 8 when divided by (x-1). If (x+1) is factor of f(x), find the values of p and q
Answer:p=-1 and q=1
Step-by-step explanation:
Answer:
p=3, q=5
Step-by-step explanation:
f(x) = x³-x²+px+q
factor: x+1 = 0 x = -1
(-1)³ - (-1)² + p*(-1) + q = 0
-2 - p + q = 0
p = q-2
(x-1) is factor of f(x) - 8, root x = 1 : f(x) = x³-x²+(q-2)x+q-8
(1)³ - (1)² + (q-2)(1) + q - 8 = 0
q - 2 + q - 8 = 0
2q = 10 q = 5
p = q-2 = 3
check: x³-x²+3x+5 = (x+1)(x²-2x+5)
x³-x²+3x+5 = (x²+3)(x-1) + 8
pls help!! using the pythagorean theorem !!!
Answer:
≈8.66
Step-by-step explanation:
Pls mark me brainliest :))
Answer:
h= 8.7 cm
Step-by-step explanation:
5^2 + h^2 = 10^2
25 + h^2 = 100
25-25= 0 100-25=75
h^2 = 75
[tex]\sqrt{75}[/tex]= 8.7
h=8.7
hope this helps :)
please crown me brainliest!!!!!
pls help!!!!!!!!!!!!!!!!!!!!
Answer:
B
Step-by-step explanation:
it's triangle, all corners sums 180
11X+6=40+7X+2
X=9
Type the expression that results from the following series of steps:
Start with g, times by 7, then add 3.
Step-by-step explanation:
start with g and next times by 7 means multiply by 7 and add 3 to the result
7g+3
A boat traveled 17 miles in 2 hours. At this rate, how many miles will the boat
travel in 1/2
hour?
Answer:
Travels 4.25 miles in thirty minutes
Step-by-step explanation:
In order to find the answer to this question you need to first find how many miles the boat travels in a hour and then divide it once more to find how many miles it traveled in half a hour.
[tex]17\div2[/tex]
[tex]`7\div2=8.5[/tex]
[tex]2=17[/tex]
[tex]1=8.5[/tex]
[tex]8.5\div2=4.25[/tex]
[tex]=4.25[/tex]
Hope this helps.
Which is larger?
A) 52
B) 33
o
А
OB
Answer: 3 to the third power
Step-by-step explanation: 3x3x3=27
5x5=25 27 is bigger that 25
hope this helped!
A Ricardo can paint a set of kitchen cabinet in 6 hours. His father can do it in 4 hours. How long
will a take them if they work together?
PLSSS HELPP MEE
The time it will a take them for both ricardo and his father to finish the painting if they work together is;
t = 2.4 hours
Time for ricardo to paint the set of kitchen cabinets = 6 hours
Time for Ricardo's father to finish painting = 4 hours
This means that ricardo in 1 hour paints 1/6 of the cabinets
His father in 1 hour paints 1/4 of the cabinets
If they work together, in one hour, they would have painted;
1/6 + 1/4 = 5/12 of the cabinet
If 5/12 of the cabinet is done in an hour,then 12/12 will be done in; ((12/12) × 1)/(5/12)
⇒ 1 × 12/5
⇒ 2.4 hours
Read more at; https://brainly.com/question/8317268
The correct answer is: " 2 hours and 24 minutes ";
or; write as: " 2.4 hours " .
____
Step-by-step explanation:
[tex]\frac{x}{4} + \frac{x}{6} = 1[/tex] ; → { " 1 (one) whole job." }.
We want to solve for "x" ; the total time, in "hours", that will take them if they work together.
What is the LCD (least common denominator of "4" and "6" ?
→ Note that "4 * 6 = 24" ; so, "24" would work, but let's see if we can find the LCD —a number less then "24" ;
4: 2, 4, 12, 16, 20, 24,
6: 1, 2, 3, 6, 12
⇒ We see that "12" is the LCD.
_____
So, " [tex]\frac{x}{4} = \frac{?}{12}[/tex] " ; to solve for "?" ;
→ 4 * (what value?) = 12 ?
→ 12 ÷ 4 = (that value) ; ⇒ = " 3 " .
_____
So: [tex]\frac{x}{4} = \frac{(x*3)}{(4*3)} = \frac{3x}{12}[/tex] ;
_____
Now: " [tex]\frac{x}{6} = \frac{?}{12}[/tex] " ; to solve for "?" ;
→ 6 * (what value?) = 12 ?
→ 12 ÷ 6 = (that value) ; ⇒ = " 2 " .
_____
So: " [tex]\frac{x}{6} = \frac{(x*2)}{(6*2)} = \frac{2x}{12}[/tex] ;
Now: → [tex]\frac{x}{4} + \frac{x}{6} = 1[/tex] ;
Substitute our converted values:
→ [tex]\frac{3x}{12} + \frac{2x}{12}=1[/tex] ;
Then simplify the "left-hand side" of the equation:
_____
→ [tex]\frac{3x}{12} + \frac{2x}{12} = \frac{(3x+2x)}{12}[/tex] = [tex]\frac{5x}{12}[/tex] ;
Now, rewrite the simplified equation; and bring down the "1" :
_____
→ [tex]\frac{5x}{12} = 1[/tex] ;
Now, solve for "x" ; as follows:
_____
⇒ 5x = ( 1 * 12 ) ;
→ 5x = 12 ;
Now, divide Each Side of the equation by "5" ;
to isolate "x" on one side of the equation; & to solve for "x" (in hours):
_____
→ 5x / 5 = 12 / 5 ;
_____
to get: x = (12/5) hours.
_____
Now: We have (12/5) of 1 hour ; 24/10
Note the exact conversion: " 60 min. = 1 hr." :
So, 12/5 of 60 minutes;
= " [tex]\frac{12}{5}[/tex] * [tex]}\frac{60}{1}[/tex] " (minutes) ;
____
The "5" cancels to a "1" ; and the "60" cancels to a "12" :
{since: "60 ÷ 5 = 12" ; & since: "5 ÷ 5 = 1 " .}.
→ And we can rewrite as:
" [tex]\frac{12}{1} * \frac{12}{1}[/tex] " (minutes) = "12 * 12" minutes = 144 minutes.
⇒ " 144 minutes" equals: How many hours? " 144 ÷ 60 = 2.4 hours " ;
or; more specifically:
⇒ We have "2 hours and _(some) minutes".
→ that is; " 2 hours plus 0.4 hour(s) " .
⇒ [tex]\frac{(0.4) hr}{1}*\frac{(60)min}{1 hr} = [(0.4)*(60)] minutes[/tex] ;
= 24 minutes.
____
Alternate method:
____
(12/5 hours) = (12 ÷ 5) hours = " 2.4 hours " ; (and continue if desired).
____
So: The correct answer is: " 2 hours and 24 minutes ";
or; write as: " 2.4 hours " .
____
Hope this is helpful to you! Best of luck!
____
The city council is planning a long, narrow park with a playground at one end and a fountain at the other. They want the playground more than 5 blocks from the fountain and both items at least 2 blocks from the center of the park. The graph below represents the possible positions of the playground, relative to the center of the park. Which compound inequality represents the possible positions of the playground?
Answer:
1
Step-by-step explanation:
123456789098765432123456789098765432123457890987654321234567890987654321234567890987654321234567890*1*+0+1=1
Solve for x: -2|4x + 12| = -32 (5 points)
no solution
x = 1, x = -1
x = 1x = -7
x = -1, x = 7
Answer:
x = 1, x = -7
Step-by-step explanation:
Step 1: Divide both sides by -2.
[tex]\frac{-2(|4x+12|)}{-2} = \frac{-32}{-2}[/tex] [tex]|4x + 12| = 16[/tex]Step 2: Solve absolute value.
We know either 4x + 12 = 16 or 4x + 12 = -16.1st Possibility:
4x + 12 = 164x + 12 - 12 = 16 - 12 (Subtract 12 from both sides)4x = 44x/4 = 4/4 (Divide both sides by 4)x = 12nd possibility:
4x + 12 = -164x + 12 - 12 = -16 - 12 (Subtract 12 from both sides)4x = -284x/4 = -28/4 (Divide both sides by 4)x = -7Therefore, the answer is x = 1, x = -7.
PLEASE HELP ME I NEED HELP FAST PLEASEE
Answer:
20cm
Step-by-step explanation:
1. First find the area of the triangle
a = 1/2 × base × h
a = 1/2 × 10 × 11
a = 55cm²
2. Then times the area of the triangle by 8 to find the area of the rectangle
55 × 8 = 440cm²
3. Find the width of the rectangle:
The area of a rectangle is = l × w
22 × width = 440cm²
width = 440 ÷ 22
width = 20cm
Answer: Width = 20
Step-by-step explanation:
Give the area of triangle = x
So the area of rectangle = 8x
the area of triangle = (11 × 10) ÷ 2 = 55
So the area of rectangle = 8(55) = 440
The area of rectangle = W × L
So 440 = W × 22
W = 20
please give me a brainliest answer
taylor bought a fridge in a sale, where all the products were 15% of. they saved £52. what was the original price of the tv?
The U.S. population in 1910 was 92 million people. In 1990, the population was 280 million. This could model either a linear or exponential growth. You will create both and then look at the true population increase and decide which model is closer the the true growth.
Which list of number below represent the growth from 1910 to 1990 as an exponential model? (jumping every 20 years)
Question 3 options:
92 mil, 105 mil, 173 mil, 220 mil, 280 mil
92 mil, 110 mil, 175.5 mil, 220.8 mil, 280 mil
92 mil, 121.4 mil, 160.3 mil, 211.6 mil, 280 mil
92 mil, 139 mil, 186 mil, 233 mil, 280 mil
Answer:
this answer is simply exponential growth also you did not put in a graph so i have to kind of improvise here also this choice SHOULD be the answer: 92 mil, 139 mil, 186 mil, 233 mil, 280 mil
i did the math and this is what i got unless i did something wrong but either way hope this helps lol
Step-by-step explanation:
simply the following
Answer:
6x^6..........................
[tex]4 - x = 10[/tex]
what's the answer
4 - x = 10
-x = 10 - 4
-x = 6
x = -6
Answer:
x = -6
Step-by-step explanation:
[tex]4-x = 10\\\\4 = 10 + x\\\\4-10 = x\\\\x = -6[/tex]
Feel free to mark this as brainliest! :D
I need help on numbers 1 and 2, please
Answer:
2 would be a':-8,-8 b': -8,4 c': 8,10 d': 8,-6
sketch the graph of each equation y=-5x
for the down line it goes till -10
Step-by-step explanation:
After you find y when x is the following you apply points on graph to get a straight line.
What re linear angles
Answer:
In geometry, a linear pair of angles is a pair of adjacent angles formed when two lines intersect each other. The linear pair of angles are always supplementary as they form on a straight line. In other words, the sum of two angles in a linear pair is always 180 degrees.
Step-by-step explanation:
I HOPE THIS HELPS
3 ( 7+4)squared -14÷7
Answer:
43921
Step-by-step explanation:
"A number Y increased by 25"
Hello There!
The Answer to your Question is
y+25
plus also means "increased"
No matter what y is, if we add 25, we increase it by 25.
Hope this helps you! :)
[tex]GraceRosalia[/tex]
Someone help please?
Answer: x = -11
Step-by-step explanation: 85-96=-11 so -11+96 = 85 they are paralel to each other and have the same angle so yeahhhh...
Help please
3. A line passes through the points -6,-8 and -3,-7. What is the equation of the line in slope intercept form?
A. Y = 3x - 6
B. Y = 1/3x + 6
C. Y = 1/3x - 6
D. Y = 3x + 6
Answer:
the answer is C
Step-by-step explanation:
yeah-ya.... right?
Could someone answer all 3 questions?
Step-by-step explanation:
a:
-2
b:
(-12m^5 * n^3) / (6m^5 * n^3)
c:
I don't what the two methods is,so I have no idea
I ADDED A PIC
PLZZZZZZZZ HELP
Answer:
Continuous graph:
- The height of a plant as it grows
- Amount of fuel and distance traveled.
Discrete graph:
- Number of students per teacher
- Amount of chairs for each table
Step-by-step explanation:
In mathematics "discrete" means specific points that do not possess a continuous line but only the plotting of points above certain integer values. On the other hand, the word "continuous" in mathematics would be a graph that has a constant smooth line that lacks jumps between values and sometimes decimal numbers.
"The number of students per teacher" would be discrete as the amount of students per teacher would be a fixed integer value.
"The height of a plant as it grows" would be continuous as the height of the plants increases the longer it grows. This would be represented by a straight continuous line.
"Amount of fuel and distance traveled" would be continuous as the amount of fuel used correlates with the distance traveled, which can be represented with a continuous line.
"Amount of chairs for each table" would be discrete as it would be a set integer value for the amount of chairs at each table, not a continuous line.
Hope this helped! If you have any questions feel free to ask!