Giá Trị tuyệt đối của tổng hai số nguyên có hai kết quả là số âm và số dương.Nhưng Giá trị tuyệt đói luôn luôn ra kết quả là số dương nên ta cần kết quả là cả âm và dương khi phá dấu tuyệt đối. khi âm -dương =âm. khi dương- âm=dương
using appreciate property -2/3 × 3/5 + 5/2 - 3/5 × 1/6
Answer:
The answer for your question is 2.
Step-by-step explanation:
Answer:
[tex] - \frac{2}{3} \times \frac{3}{5} + \frac{5}{2} - \frac{3}{5} \times \frac{1}{6} \\ = - \frac{2}{5} + \frac{5}{2} - \frac{1}{10} \\ = \frac{ - 4 + 25 - 1}{10} \\ = \frac{20}{10} \\ = 2[/tex]
how can you find the slope of a line and use it to
solve problems?
Answer:
Step-by-step explanation:
1) Mark two points on the line in the graph.
2) Determine the rise and run. Rise ---> difference in y-coordinates. (y2-y1)
Run -----> difference in x-coordinates (x2 - x1)
3) Plugin the values in the below mentioned formula.
[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
1.If slope = 0, then the line is parallel to x-axis.
2. If slope is undefined, then the line is parallel to y-axis.
3. If slope is +ve, then the line slant upwards and if slope = -ve, then the line slant downwards.
There were some adults and children at the part. For every 3 adults, there were 11 children. There were 32 more children than adults. How many adults were at the party
Answer:
12
Step-by-step explanation:
Ratio of adults to children = 3 : 11
Let
x = number of adults at the party
32 + x = number of children at the party
Ratio of adults to children = x : (32 + x
Equate both ratios
3 : 11 = x : 32 + x
3/11 = x : (32 + x)
Cross product
3 * (32 + x) = 11 * x
96 + 3x = 11x
96 = 11x - 3x
96 = 8x
x = 96/8
x = 12
x = number of adults at the party = 12
Which of the following are square roots of the number below? Check all that apply.
36
Answer:
mark me brainliest..
Step-by-step explanation:
plz open the below file and hope it helps!!
Solve the equation, 4 - (x + 1) = 6.
Answer:
x = - 3
Step-by-step explanation:
4 - (x + 1) = 6
- (x + 1) = 6 - 4
-x - 1 = 6 - 4
-x - 1 = 2
- x = 2 + 1
- x = 3
x = - 3
If you need the process explained more in depth just let us know
Answer:
x=-3
Step-by-step explanation:
firstly work out the brackets by multiplying the negative sign by the number and letter in the brackets
4-x-1=6
group the like terms
4-1-6=x
-3=x
hope this helps
15. Madison invested in a certificate of deposit for 4 years at a 6% interest rate. At the end of the 4 years, the value
of the certificate of deposit was $3,100. How much did Madison deposit originally?
Answer:
2455.49
Step-by-step explanation:
[tex]3100=x(1+.06)^4\\x=2455.490356[/tex]
Which table of ordered pairs represents a proportional relationship?
Answer:
fijate bien
Step-by-step explanation:
EXPRESS in power notation
1. -1/8
2. -64/27
Express in rational number
1. (-3/2)
2. (1/5)
simplify (-4/3)³(2/5)-⁴ ÷ (7/4)
Answer:
Solution given:
1:
-1/8=[tex]\frac{-1³}{2³}=(\frac{-1³}{2³}=-1³*2^{-3}=-2^{-3}[/tex]
2. -64/27
=[tex]\frac{-4^{3}}{3³}=\frac{-4³}{3³}=(\frac{-4}{3})^{3}[/tex]
Express in rational number
1. (-3/2)=-3/2*2/2=-(3*2)*(2/2)=-6/4
2. (1/5)=1/5*5/5=5/25
and
(-4/3)³(2/5)-⁴ ÷ (7/4)
(-4³/3³)(2-⁴/5-⁴)÷7/4
(-64/27)(5⁴/2⁴)÷7/4
(-64/27)(625/16)÷7/4
(-64*625/(27*16))*4/7
-2500/27*4/7
-10000/169
(-100/13)²
Which of the following is perpendicular to 4x - 3y = 8?
Select one:
a. -8x + 12y = 7
b. 6x + 8y = 9
c. -4x - 3y = 8
d. -8x + 6y = 5
Answer:
a.-8x-12y
Step-by-step explanation:
i hope it will help u
The equation of line -4x - 3y = 8 is perpendicular to the given line of the equation which is the correct answer would be option (C).
What are the perpendicular lines?Perpendicular lines are two lines that cross one other and create a 90-degree angle.
The equation of the line below which is given in the question
4x - 3y = 8
We have to determine which is perpendicular to the given equation of the line
First, we need to find the slope of the given equation.
4x - 3y = 8
- 3y = - 4x + 8
Divided by -3 into both sides of the above equation,
y = (- 4/-3)x + 8/(-3)
y = (4/3)x - 8/3
Comparing the above equation with the standard form of line y = mx + b
Here m is the slope of the line, in this case, m = 4/3.
As per option (C),
- 3y = 8 + 4x
Divided by -3 into both sides of the above equation,
y = - 4/3x - 8/3
Here the slope of this line is - 4/3
Therefore, the equation of line -4x - 3y = 8 is perpendicular to the given line of the equation.
Hence, the correct answer would be option (C).
Learn about the perpendicular lines here :
https://brainly.com/question/18271653
#SPJ2
Can someone help me with this task please? !!
Answer:
1. are you serious to ask ? it is written right there in the question itself. x=0, f(0)=y=6
2. the slope is 3
3. -4/3
4. $1.50 per book
5. -2
Step-by-step explanation:
1. the table itself says it for x=0. f(x) for x=0 is 6.
2. as explained do often already. the slope is the ratio of y/x showing how many units y changes, when x changes a unit or another surviving number of units.
the table shows when x increases by 1 unit, y increases by 3 units. so, the slow is 3/1 or simply 3.
3. again slope (see 2.).
going from M to N x increases by 4 units (from 1 to 5), and y decreases by 3 units (from 3 to 0).
so, the slope is y changes / x change = 4/-3 or simply -4/3
4. rate of change is
(f(a) - f(b)) / (a - b)
e.g.
(275 - 50) / (250 - 100) = 225 / 150 = 1.5
5. again very simple. which of the provided answer options appears in the f(x) column ?
the result of a function is the functional or y value calculated by the formula when responding the generic variable (like x) by the specified input value.
Find the zeroes of the polynomial and verify the relationship between the zeroes and coefficients
1. 6x^2 - 3 - 7x
2. 3x^2 - x - 4
Answer: Step-by-step explanation:
1. Given f(x) = 6x2 – 7x – 3
To find the zeros
Let us put f(x) = 0
⇒ 6x2 – 7x – 3 = 0
⇒ 6x2 – 9x + 2x – 3 = 0
⇒ 3x(2x – 3) + 1(2x – 3) = 0
⇒ (2x – 3)(3x + 1) = 0
⇒ 2x – 3 = 0 Or 3x + 1 = 0
x = 3/2 x = -1/3
It gives us 2 zeros, for x = 3/2 and x = -1/3
Hence, the zeros of the quadratic equation are 3/2 and -1/3.
Now, for verification
Sum of zeros = – coefficient of x / coefficient of x2
3/2 + (-1/3) = – (-7) / 6 7/6 = 7/6
Product of roots = constant / coefficient of x2
3/2 x (-1/3) = (-3) / 6 -1/2 = -1/2
Therefore, the relationship between zeros and their coefficients is verified.
2.Let f(x) = 3x2 ˗ x ˗ 4 = 0
3x2 ˗ 4x + 3x ˗ 4 = 0
⇒ x(3x ˗ 4) + 1 (3x ˗ 4) = 0
⇒ (3x ˗ 4) (x + 1) = 0
To find the zeroes
(3x ˗ 4) = 0 or (x + 1) = 0
x = 4/3 or x=-1
So, the zeroes of f(x) are 4/3 and x=-1
Again, Sum of zeroes = 4/3 + (-1) = 1/3 = -b/a =
=(-Coefficient of x)/(Cofficient of x2)
Product of zeroes = 4/3 x (-1) = -4/3 = c/a=
= Constant term / Coefficient of x2
Therefore, the relationship between zeros
The ratio of the measures of the sides of a triangle is 3:4:5. Its perimeter is 48 inches. Find the scale factor as a decimal, and the measure of each side of the triangle.
Given:
The ratio of the measures of the sides of a triangle is 3:4:5.
Its perimeter is 48 inches.
To find:
The scale factor as a decimal, and the measure of each side of the triangle.
Solution:
Let x be the scale factor. Then the measures of sides of the triangle are 3x, 4x and 5x.
The perimeter of the triangle is 48 inches. It means the sum of all sides of the triangle is 48 inches.
[tex]3x+4x+5x=48[/tex]
[tex]12x=48[/tex]
Divide both sides by 12.
[tex]x=\dfrac{48}{12}[/tex]
[tex]x=4[/tex]
Now, the measures of sides are:
[tex]3x=3(4)[/tex]
[tex]3x=12[/tex]
Similarly,
[tex]4x=4(4)[/tex]
[tex]4x=16[/tex]
And,
[tex]5x=5(4)[/tex]
[tex]5x=20[/tex]
Therefore, the scale factor is 4 and the measures of sides are 12, 16 and 20.
Answer:
The scale factor is 4.
Sides are 12 inches, 16 inches, 20 inches.
Step-by-step explanation:
The ratio is 3 : 4 : 5 and the perimeter is 48 inches.
Let the scale is p.
The length of sides is 3 p , 4 p and 5 p.
So, the perimeter is
3 p + 4 p + 5 p = 48
12 p = 48
p = 4
So, the scale factor is 4.
Sides are 12 inches, 16 inches, 20 inches.
The table shows the change in yards for 3 plays in a football game. Use the information below to complete statements below.
Answer:
Step-by-step explanation:
Kay do you just not know about "football" ?? what was confusing you about this question??
question 1 ) play C
question 2) play A
question 3) 13 less yards ,
What is the value of y? 72
Answer:
D. 54
Step-by-step explanation:
54 + 54 = 108, and 72 + 180 equals 180 degrees.
This is due to the fact all angles in a triangle add up to 180 degrees.
evaluate
[tex] {( - 7)}^{ \frac{5}{3} } \times {( \frac{1}{56} )}^{ \frac{5}{3} } [/tex]
please explain
[tex]\frac{-1}{32}[/tex] is a required answer.
Answer:
Solution given:
[tex] {( - 7)}^{ \frac{5}{3} } \times {( \frac{1}{56} )}^{ \frac{5}{3} } [/tex]
take power common
[tex](\frac{-7*1}{56})^{\frac{5}{3}}[/tex]
Reduce the fraction
[tex](\frac{-1}{8})^{\frac{5}{3}}[/tex]
make the1 and 8 in terms power 3
[tex](\frac{-1³}{2³})^{\frac{5}{3}}[/tex]
take the common power
[tex](\frac{-1}{2})^{3*\frac{5}{3}}[/tex]
Reduce power
[tex](\frac{-1}{2})^{5}[/tex]
now
distribute power
[tex]\frac{-1^{5}}{2^{5}}[/tex]
[tex]\frac{-1}{32}[/tex]
Can someone help me with this math homework please!
Answer:
I'm pretty sure it is 0.75
Step-by-step explanation:
It is a3 so that means it is the 3rd answer in the sequence.
Answer:
The sequence is adding 0.25
Steve's math homework took him 17 minutes. His science homework took him 22 minutes. How much time did it take Steve to finish his math and science homework?
Answer:
39 minutes for both
Step-by-step explanation:
22+17=39
Answer:
It took Steve 39 minutes to finish both his math and science.
Step-by-step explanation:
17+22=39
−5x−9y=3 plus 5x−9y=-2
Answer:
-18y=1
Step-by-step explanation:
Sorry if this is wrong, I was just guessing...
Manuel bought a set of tracks for $35 and 8 individual train cars,
which were priced the same. If the total cost was $155, what was the
price for each train car?
Please help
Answer:
155÷8= 19,375
The unit price of each wagon can be obtained by dividing (155 by 8)
luck in your tasks.
simplify 6÷[5{6÷(5-2)}]
answer correctly i will give brainliest.
Answer:
hope this helppppp youuu
What are the x-intercepts of the parabola?
A: (4.5, 0) and (5, 0)
B: (0, 4.5) and (0, 5)
C: (0, 5) and (0, 4)
D: (5, 0) and (4, 0)
Answer:
D: (5, 0) and (4, 0)
Step-by-step explanation:
The x-intercepts of a parabola are the points where the parabola intersect the x-axis (horizontal axis). Therefore, the y-value of the x-intercepts are always 0. Since coordinates are written (x, y), we can immediately eliminate answers B and C.
Next, we look at the x-coordinates of where the parabola intersects the x-axis. We can see clearly that the parabola crosses the x-axis at [tex]x=4[/tex] and [tex]x=5[/tex]. Therefore, the x-intercepts of the given parabola are (4, 0) and (5, 0).
Steve is traveling from Atlanta to Houston, a distance of 704 miles. If he divides the trip into two parts,
which the ratio of the parts is 2:5, how many miles does he drive in each section?
Answer:
201.14 , 502.85
Step-by-step explanation:
704/7 = 100.57
2*100.57 = 201.14
5*100.57 = 502.85
WhAT IS THE SOLUTION ?3 · x – 2 – 4 < 8
Answer:
x <14/3
Step-by-step explanation:
3 · x – 2 – 4 < 8
Combine like terms
3 · x – 6< 8
Add 6 to each side
3 · x – 6 –+6 < 8+6
3x < 14
Divide by 3
3x/3 < 14/3
x <14/3
Answer:
x<14
Step-by-step explanation:
x-2-4<8
x-6<8
x-6+6<8+6
x<14
The circumference of a circle is 11 pi ft. find its diameter, in feet
Answer:
11 feet
Step-by-step explanation:
Use the circumference formula, C = [tex]\pi[/tex]d
Plug in 11[tex]\pi[/tex] as C, and solve for d:
C = [tex]\pi[/tex]d
11[tex]\pi[/tex] = [tex]\pi[/tex]d
11 = d
So, the diameter is 11 feet
what is the value of x that makes PQ || RS
a. 42
b. 55
c. 51
d. 100
pls give a step to step explanation if you can
Answer:
x = 55
Step-by-step explanation:
These are alternate exterior angles and alternate exterior angles are equal when the lines are parallel
3x-65 = 2x-10
Subtract 2x from each side
3x-2x -65 = 2x-2x-10
x-65 = -10
Add 65 to each side
x-65+65 = -10+65
x = 55
Enter an equation in point-slope form for the line.
Slope is 4 and (-2,-1) is on the line.
The equation of the line in point slope form is:
Answer:
[tex]y+1=4(x+2)[/tex]
Step-by-step explanation:
Hi there!
Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where m is the slope and (x₁,y₁) is the given point
[tex]y-y_1=m(x-x_1)[/tex]
Plug in the slope and the point
[tex]y-(-1)=4(x-(-2))\\y+1=4(x+2)[/tex]
I hope this helps!
1/2a=11
a=? P.S I am not in high school I am in 4TH GRADE!!!
Answer:
a: 1/22
Step-by-step explanation:
cross multiply 1/2a=11
which will give 22a=1
divide both sides by 22
to give a=1/22
I NEED HELP BUT THE ANSWER MUST WORK ON KHAN ACADEMY
Answer:
x = 72
Step-by-step explanation:
This is because if you add all the angles in a triangle they should add to 180. 77+31=108
180-108=72
Answer:
72
Step-by-step explanation:
We know that , the sum of interior angles of any shape can be measured using the formula: (n-2)× 180; where, n is the number of sides in the shape.
Here, the figure is a triangle. Therefore,
n= 3
(3-2)* 180=180°
Hence, the sum of all angles in this figure is 180.
That is, 77+31+x= 180°
108+x=180°
x= 180-108= 72°
Therefore, x= 72°
Identify the form of each equation.
2x + 8y = 5 is in (select)
V
y-9=5(x - 6) is in (select)
V
y = 7x + 6 is in (select)
V
9x - 2y = -6 is in (select)
Answer:
Step-by-step explanation:
The first one is in standard form;
the second one is in point-slope form;
the third one is in slope-intercept form;
the last one is in standard form
These are all lines, so as you can see, there are 3 different formats for writing the equation of a line.
Solve for y: 3x - 4y = 12
Answer:
y = 3/4x -3
Step-by-step explanation:
3x - 4y = 12
Subtract 3x from each side
3x - 4y -3x =-3x+ 12
-4y = -3x+12
Divide by -4
-4y/-4 = -3x/-4 +12/-4
y = 3/4x -3
Answer
The value of y is 3/4x-3.
Explanation
Rearrange the equation to get y on one side of the equation.
3x-4y=12
-4y=12-3x
y=-3+3/4x
y=3/4x-3