Can anybody explain how you can use the absolute value to tell whether the sum of two integers is positive or negative​

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

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!

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.

Answer:

-18y=1

Step-by-step explanation:

Sorry if this is wrong, I was just guessing...

Answer:

2455.49

Step-by-step explanation:

[tex]3100=x(1+.06)^4\\x=2455.490356[/tex]

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

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

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

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).

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

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]

Answer:

201.14 , 502.85

Step-by-step explanation:

704/7 = 100.57

2*100.57 = 201.14

5*100.57 = 502.85

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.

Answer:

hope this helppppp youuu

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.

Answer:

mark me brainliest..

Step-by-step explanation:

plz open the below file and hope it helps!!

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

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

[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]

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 ,

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

Answer:

fijate bien

Step-by-step explanation:

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°

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.

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.

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

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).

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

Answer:

155÷8= 19,375

The unit price of each wagon can be obtained by dividing (155 by 8)

luck in your tasks.

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

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