Step-by-step explanation:
6.)
|x - 6| = 5
x + 6 = 5
x = 5 - 6
x = - 1
7.)
|3x - 7| = 12
3x + 7 = 12
3x = 12 - 7
3x = 5
x = 5/3
8.)
|2x + 9| - 10 = 5
2x + 9 - 10 = 5
2x - 1 = 5
2x = 1 + 5
2x = 6
x = 6/2
x = 3
Solve. 3 x+2y−z=8 2x+2z=−4 x+3y=4 Enter your answer, in the form (x,y,z), in the boxes in simplest terms. ( , , )
Answer:
x = 1 , y = 1 , z = -3
Step-by-step explanation:
Solve the following system:
{3 x + 2 y - z = 8
2 x + 2 z = -4
x + 3 y = 4
Hint: | Choose an equation and a variable to solve for.
In the third equation, look to solve for x:
{3 x + 2 y - z = 8
2 x + 2 z = -4
x + 3 y = 4
Hint: | Solve for x.
Subtract 3 y from both sides:
{3 x + 2 y - z = 8
2 x + 2 z = -4
x = 4 - 3 y
Hint: | Perform a substitution.
Substitute x = 4 - 3 y into the first and second equations:
{3 (4 - 3 y) + 2 y - z = 8
2 (4 - 3 y) + 2 z = -4
x = 4 - 3 y
Hint: | Expand the left hand side of the equation 3 (4 - 3 y) + 2 y - z = 8.
3 (4 - 3 y) + 2 y - z = (12 - 9 y) + 2 y - z = 12 - 7 y - z:
{12 - 7 y - z = 8
2 (4 - 3 y) + 2 z = -4
x = 4 - 3 y
Hint: | Expand the left hand side of the equation 2 (4 - 3 y) + 2 z = -4.
2 (4 - 3 y) + 2 z = (8 - 6 y) + 2 z = 8 - 6 y + 2 z:
{12 - 7 y - z = 8
8 - 6 y + 2 z = -4
x = 4 - 3 y
Hint: | Choose an equation and a variable to solve for.
In the first equation, look to solve for y:
{12 - 7 y - z = 8
8 - 6 y + 2 z = -4
x = 4 - 3 y
Hint: | Isolate terms with y to the left hand side.
Subtract 12 - z from both sides:
{-7 y = z - 4
8 - 6 y + 2 z = -4
x = 4 - 3 y
Hint: | Solve for y.
Divide both sides by -7:
{y = 4/7 - z/7
8 - 6 y + 2 z = -4
x = 4 - 3 y
Hint: | Perform a substitution.
Substitute y = 4/7 - z/7 into the second equation:
{y = 4/7 - z/7
8 - 6 (4/7 - z/7) + 2 z = -4
x = 4 - 3 y
Hint: | Expand the left hand side of the equation 8 - 6 (4/7 - z/7) + 2 z = -4.
8 - 6 (4/7 - z/7) + 2 z = 2 z + ((6 z)/7 - 24/7) + 8 = (20 z)/7 + 32/7:
{y = 4/7 - z/7
(20 z)/7 + 32/7 = -4
x = 4 - 3 y
Hint: | Choose an equation and a variable to solve for.
In the second equation, look to solve for z:
{y = 4/7 - z/7
(20 z)/7 + 32/7 = -4
x = 4 - 3 y
Hint: | Isolate terms with z to the left hand side.
Subtract 32/7 from both sides:
{y = 4/7 - z/7
(20 z)/7 = -60/7
x = 4 - 3 y
Hint: | Solve for z.
Multiply both sides by 7/20:
{y = 4/7 - z/7
z = -3
x = 4 - 3 y
Hint: | Perform a back substitution.
Substitute z = -3 into the first equation:
{y = 1
z = -3
x = 4 - 3 y
Hint: | Perform a back substitution.
Substitute y = 1 into the third equation:
{y = 1
z = -3
x = 1
Hint: | Sort results.
Collect results in alphabetical order:
Answer: {x = 1 , y = 1 , z = -3
What are the features of the quadratic function graphed in the figure? Question 14 options: A) Vertex = (–4,3), y-intercept = (5,0), x-intercepts = (0,1) and (0,5), axis of symmetry is x = –4 B) Vertex = (3,–4), y-intercept = (0,5), x-intercepts = (1,0) and (5,0), axis of symmetry is x = 3 C) Vertex = (3,–4), y-intercepts = (1,0) and (5,0), x-intercept = (0,5), axis of symmetry is x = 3 D) Vertex = (–3,4), y-intercept = (0,5), x-intercepts = (1,0) and (5,0), axis of symmetry is x = –3
Answer:
B
Step-by-step explanation:
The vertex is the bottom-most point of the curve located at the halfway point. The x coordinate of the point is 3, and the y coordinate is -4. The places at which the quadratic hits the x axis are at (1,0) and (5,0), and it hits the y axis at (0,5).
Vertex = (3,–4), y-intercept = (0,5), x-intercepts = (1,0) and (5,0), axis of symmetry is x = 3. Therefore, option B is the correct answer.
We need to find the features of the quadratic function graphed in the figure.
What is a vertex in the graph?"Vertex" is a synonym for a node of a graph, i.e., one of the points on which the graph is defined and which may be connected by graph edges.
The features of the quadratic function are as follows:
The vertex is the bottom-most point of the curve located at the halfway point. The x -coordinate of the point is 3, and the y -coordinate is -4. The places at which the quadratic hits the x-axis are at (1,0) and (5,0), and it hits the y-axis at (0,5).
Therefore, option B is the correct answer.
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A pattern of increasing perfect squares is shown below.
25, 36, 49, 64, _, 100
What number do you need to find the square to find the missing term?
A. 6
B. 8
C. 7
D. 9
I need help this is math
Answer:
B. x+(y+z)
Step-by-step explanation:
Minus(minus) gives plus(+)
If 26.97 ÷ 6.3 is written in long division form as long division set up where 63 is on the outside of the division symbol and 26970 is on the inside so that the divisor is written as a whole number, where should the decimal point be placed in the dividend?
Between the 2 and the 6
Between the 6 and the 9
Between the 9 and the 7
Between the 7 and the 0
The decimal point should be placed between digits 9 and 7 in the dividend. i.e the dividend becomes 269.7
Step-by-step explanation:
Dividend = 26.97 [numerator]
Divisor = 6.3 [denominator]
If 26.97 ÷ 6.3 is written in long division form so that the divisor is written as a whole number, we have the following;
(i)First convert the divisor to a whole number by multiplying by 10 i.e
6.3 x 10 = 63
(ii) Since the divisor (denominator) has been multiplied by 10, to make sure the division expression stays the same, we need to multiply the dividend(numerator) too by 10. i.e
26.97 x 10 = 269.7
(iii) The division expression then becomes;
269.7 ÷ 63
Therefore, the decimal point should be placed between digits 9 and 7 in the dividend.
can you give me Brainliest
Answer:
9 and 7
Step-by-step explanation:
26.6.3 is long division set up 63 is out of the division symbol and 26970.
5) A data set with whole numbers has a low value 20 and high value of 82. Find the class width and class limits for a frequency table with 7 classes.
Answer:
Class width = 9
Class limits = 20 - 28; 20 - 28; 29 - 37; 38 - 46; 47 - 55; 56 - 64; 65 - 73; 74 - 82.
Step-by-step explanation:
We are given;
Highest value = 82
Lowest value = 20
Frequency = 7
Formula for class width is;
Class width = (Highest Value - Lowest Value)/number of classes
Class width = (82 - 20)/7
Class width = 8.8 ≈ 9
Now,since class width is 9, limits between 20 and 82 would be done at intervals of 9.
Thus;
Class limits = 20 - 28; 20 - 28; 29 - 37; 38 - 46; 47 - 55; 56 - 64; 65 - 73; 74 - 82.
Please help thank youuu
Answer:
D: 61 degrees.
Step-by-step explanation:
right angles add up to 90 degrees.
Answer:
61 degrees
Step-by-step explanation:
29+x=90
x=90-29
x=61
The sale price of a swimming pool after a 18.5% discount is $1092.10. Find the original list price of the pool.
What is the slope of the line represented by the equation y= 4/5x-3
Answer:
m=
[tex] \frac{4}{5} [/tex]
Step-by-step explanation:
Slope of a line is the co efficient of x in the given line.
[tex]y = \frac{4}{5} x - 3 \\ y = mx + b[/tex]
Please help me with this
[tex]1 \frac{3}{4} [/tex]
The square of the number. answer has to be a mixed number
Answer:
[tex]3 \frac{1}{16} [/tex]
Step-by-step explanation:
first lets change the question into proper fraction
[tex]1 \frac{3}{4} = \frac{7}{4} [/tex]
now lets find the square of the number
[tex] { \frac{7}{4} }^{2} = \frac{49}{16} [/tex]
The question says the answer must be a mixed number so lets change it
[tex] \frac{49}{16} = 3 \frac{1}{16} [/tex]
hope u like it ❤️❤️❤️
for any question comment me
I NEED HELP!!!!!! 4x+2x-5=7x-1
Let's solve your equation step-by-step.
4x+2x−5=7x−1
Step 1: Simplify both sides of the equation.
4x+2x−5=7x−1
4x+2x+−5=7x+−1
(4x+2x)+(−5)=7x−1(Combine Like Terms)
6x+−5=7x−1
6x−5=7x−1
Step 2: Subtract 7x from both sides.
6x−5−7x=7x−1−7x
−x−5=−1
Step 3: Add 5 to both sides.
−x−5+5=−1+5
−x=4
Step 4: Divide both sides by -1.
−x
−1
=
4
−1
x=−4
Answer:
x=−4
i hope this helps you
Solve for x.
2x/3 + 1 = 3
x = 1
x = 2
x = 3
x = 6
Answer:
The correct answer is x=3 trust me. Im good at math got 1st place on 1v1 equations in my school hope this helped.
Step-by-step explanation:
Answer:
[tex]\boxed {\tt x=3}[/tex]
Step-by-step explanation:
We want to solve for x, therefore we must isolate the variable.
We are given the equation:
[tex]\frac{2x}{3} +1=3[/tex]
1 is being added to 2x/3. The inverse of addition is subtraction. Subtract 1 from both sides of the equation.
[tex]\frac{2x}{3}+1-1=3-1[/tex]
[tex]\frac{2x}{3} =2[/tex]
2x is being divided by 3. The inverse of division is multiplication. Multiply both sides by 3.
[tex]3*\frac{2x}{3} =2*3[/tex]
[tex]2x=2*3[/tex]
[tex]2x=6[/tex]
x is being multiplied by 2. The inverse of multiplication is division. Divide both sides of the equation by 2.
[tex]\frac{2x}{2} =\frac{6}{2}[/tex]
[tex]x=\frac{6}{2}[/tex]
[tex]x=3[/tex]
The solution to the equation is x=3.
what is the answer for -9+x=-26
Answer:
x =-17
Step-by-step explanation:
[tex]-9+x=-26\\\\\mathrm{Add\:}9\mathrm{\:to\:both\:sides}\\-9+x+9=-26+9\\\\Simplify\\x=-17[/tex]
what is the sum of 0.64 and 0.28
Answer:
0.92
Here is my work:
+1
0.64
+ 0.28
__________
0.92
(the +1 is the carrying of the one)
Hope this helps!!
The answer would be 0.92 after adding 0.64 and 0.28 and applying the arithmetic operation.
What are arithmetic operations?The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.
It is given that:
The numbers are 0.64 and 0.28
= 0.64 + 0.28
After applying arithmetic operations,
= 0.92
Thus, the answer would be 0.92 after adding 0.64 and 0.28 and applying the arithmetic operation.
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The quotient of 4 and five times t
Answer:
[tex]\frac{4}{5t}[/tex]
Step-by-step explanation:
Quotient means division, and 5 times t is 5t, as we are simplifying. Since 4 comes first in the question or sentence, 4 must be the nominator; therefore, 5t is the denominator.
The answer would then be [tex]\frac{4}{5t}[/tex].
Hope this helped!
Calculus Ch. 1.2 Classwork Problems Evaluating limits Graphically
Answer:
8) 1
9) -4
10) -3
11) -1
12) 1
13) doesn't exist
14) 1
15) doesn't exist
Step-by-step explanation:
8) when we approach x=-8 from left and from right, the function tends towards the value 1
9) when we approach x = -7, from the left the function gets towards 0, while when we approach it from the right it gets closer to -4
10) f(-3) = -3
11) When x approaches the value 4 from the left and from the right, f(x) gets closer to -1
12) f(4) is defined as 1
13) f(6) doesn't exist
14) When x approaches 6 from the left and from the right, the function approaches 1
15) When x approaches the value 7 from the left the function gets closer to 2, while when we approach x = 7 from the right the function gets toward 7. Because of this discrepancy, the limit doesn't exist.
Using the table given below, find the number of Tourist Resorts per capita in Istanbul. Write your answer as a decimal correctly rounded to 6 places Write your answer above in scientific notation. Example: 2.9x10^-1 OR 5.8E6 City Population Tourist Resorts Beijing 20.035 million 290 Mexico City 21.671 million 348 Istanbul 15.154 million 160 Paris 11.017 million 232
Answer:
0.0000111.1E-5Step-by-step explanation:
In Istanbul, the number of resorts per person is ...
160/(15.154·10^6) = 0.000011 . . . . rounded to 6 places
= 1.1E-5 . . . . in scientific notation
7n-5n=6 how do we solve this!
Be quick please also I need to show work
Step-by-step explanation:
7n-5n=6
2n=6
n=6/2
n=3
Is -5/13 a rational number
Answer:
yes -5/13 is a rational number
Solve by factoring plz show all steps need ASAP
3x + 5 =11 use the subtraction property of equality
Answer: the answer to the equation would be x=2
Step-by-step explanation:
You would use the subtraction property of equality to get ride of the five. Then you would subtract 11 by 5 and get 6. After that you would get the x by itself and divide it by 3. Them you will also divide 6 by 3 And be left with 2.
Hello i need some help!
Answer:
3×2 + 3×-b
Step-by-step explanation:
[tex]3(2-b)\\= 3\times 2 + 3\times (-b)\\\\= 6 -3b[/tex]
What values of X make the two expressions below equal?
Answer:
A
Step-by-step explanation:
they dont come out the same
Solve 3[-x + (2 x + 1)] = X-1.
X =
Answer:
-2
Step-by-step explanation:
took the test
-9 would be a part of which group(s)? *
Natural
Whole
Integer
Rational
What is the answer
Answer:
Integer, Rational
Step-by-step explanation:
Natural numbers are the basic counting numbers (1,2,3...) and does not include negatives.
Whole numbers are natural numbers with the addition of zero, and still does not include negatives.
Integers are all whole numbers and their negative counterparts, which includes -9.
Rational numbers are numbers that can be expressed as a fraction and -9 can be expresses as -9/1, so -9 is a rational number.
Hope this helps!
Rate of change of rational functions
Answer:
0.635
Step-by-step explanation:
[tex]rate~of~change = \dfrac{f(x_2) - f(x1)}{x_2 - x_1}[/tex]
[tex]rate~of~change = \dfrac{f(x_2) - f(x1)}{x_2 - x_1}[/tex]
[tex] x_1 = 0 [/tex] [tex]x_2 = 0.3[/tex]
[tex] f(x) = \dfrac{-7x^3}{x^4 - 1} [/tex]
[tex] f(x_1) = f(0) = \dfrac{-7(0)^3}{(0)^4 - 1} [/tex]
[tex] f(x_1) = \dfrac{0}{-1} = 0 [/tex]
[tex] f(x_2) = f(0.3) = \dfrac{-7(0.3)^3}{(0.3)^4 - 1} [/tex]
[tex]f(x_2) = \dfrac{-0.189}{-0.9919} = 0.190543[/tex]
[tex] rate~of~change = \dfrac{0.190543 - 0}{0.3 - 0} = 0.635 [/tex]
The diagonals of a rhombus are 4 inches and 18 inches. How long are the sides?
Which type of transformation is shown here?
Answer:
this one is Rotation
Step-by-step explanation:
it's going to flip on the side
13/2 divided by 3/4
Answer: 26/3
Step-by-step explanation: When dividing by a fraction, we can change
the division sign to multiplication and flip the second fraction.
So 13/2 ÷ 3/4 means the same thing as 13/2 · 4/3.
So when dividing by a fraction, we can just multiply
by the reciprocal of that fraction or that fraction flipped.
Next we cross-cancel.
4 and 2 reduce to 2 and 1.
Multiplying across the numerator and denominators we have 26/3.