What is the slope of the line with the equation y-3=-1/2(x-2)?

Inequalities help us to compare two unequal expressions. The correct option is A.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The complete question is:

The sum of 16 and a number is less than 24. Which of the following inequalities expresses the solution?

x<8

x>8

x=8

x<-8

Given the sum of 16 and a number is less than 24. Let the number be represented by x, therefore,

16 + x < 24

x < 24 - 16

x < 8

Hence, the correct option is A.

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Answer:

Step-by-step explanation:

Ratio and proportion:

   [tex]\sf \dfrac{x}{3}=\dfrac{6}{9}\\\\ x = \dfrac{6*3}{9}\\\\x = 2[/tex]

[tex]\sf \dfrac{8}{y}=\dfrac{6}{9}\\\\Cross \ multiply,\\\\y*6=9*8\\\\y=\dfrac{9*8}{6}\\\\y=3*4\\\\\bf y = 12[/tex]

[tex]\sf \dfrac{a}{15}=\dfrac{6}{9}\\\\a =\dfrac{6}{9}*15\\\\a=2*5\\\\\bf a = 10[/tex]

Answer:

I'm not sure how to interpret "y = 3√x+1-2."

I'll assume y = 3[tex]\sqrt{x+1}[/tex] - 2

Step-by-step explanation:

Use the free online app DESMOS.  Either enter the equation, or make a table of individual points and plot them as ordered pairs.

GRAPH:   See attached image

PLOT:  Calculate a few points, mark them on the graph and then connect the dots.  I selected a few values of x and calculated y from the equation.  Each calculation provides a (x,y) ordered pair which can be marked on the graph and the dots are then connected.  Note that x values less than -1 result in a value of y that includes i, an imaginary number.  So the graph ends abruptly at that point.

Answer:

[tex]y = - 2x + 4[/tex]

Step-by-step explanation:

Thank you

Answer:

×=-3

y=-4

Step-by-step explanation:

13×-3y=51

(-) 5×-y=19

-5×+y=-19

13×-3y=51

8×-2y=32

2/8x-2y=32

4x-y=16

4×-y=16

-5×+y=-19

-×=-3

×=3

Answer:

x = 3
y = -4
(3,-4)

Step-by-step explanation:

Hello!

We can use the Elimination Method to solve the system.

To eliminate, we want atleast one variable to have the same coefficients on both equations. To do that, we can multiply the first equation by 3 to get -3y.

Now, we can vertically subtract them to eliminate -3y.

Solve for x

The value of x is 3.

To solve for y, we can plug in 3 into the original first equation and solve for y.

Solve for y

The value of y is -4.

The solution to the system is (3,-4).

Answer:

-1

Step-by-step explanation:

The y-intercept is where the line crosses the y-axis.

Answer:

[tex]\huge\boxed{\sf y-intercept = -1}[/tex]

Step-by-step explanation:

Here,

Since, this is the point where x = 0 and where the line passes through the y-axis.

[tex]\rule[225]{225}{2}[/tex]

Answer:

slope is 7 and point on line is (1, 4 )

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

given line A has equation in point- slope form of

y - 4 = 7(x - 1) , then

slope of line is 7 and a point on the line is (1, 4 )

Step-by-step explanation:

average speed equals distance over time 100/80 will give you 5/4

Answer:

Step-by-step explanation:

12 becuase you have to read the equasion and do the problem

Answer:

131.13

To find the area do w (width) times l (length/breadth) so the equation to find the area would be L*W=A

The correct answer is option B which is {x | x ≤ 4.5}

A number line is a representation of a graduated straight line used to represent real numbers in introductory mathematics.

Because the arrow is pointing to the left, the answer to the solution set needs to be less than the number the dot is on.

A solid dot on a number means that that number is included in the solution set.

In the picture the solid dot is on 4.5, so the solution set needs to be equal to or less than 4.5.

Therefore the correct answer is option B which is {x | x ≤ 4.5}

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(a) The fraction of books that are fiction is 2/3.

(b) The fraction of books that are non-fiction is 1/3.

To find the fraction of fiction and non-fiction books on a bookshelf:

Given: A bookshelf has 96 books. 64 of the books are fiction and the rest are non-fiction books. (a)Fraction of fiction books =?

(b)Fraction of non-fiction books =?

Now,

As given, we have,

The total number of books on a bookshelf = 96

Out of 96, the total number of fiction books = 64

So,

The remaining number of books = non-fiction books = 96-64 = 32

(a) Fraction of fiction books = fiction books/total books

= 64/96

On simplification,

= 2/3

(b) Fraction of non-fiction books = non-fiction books/total books

= 32/96

= 1/3

Therefore, the fraction of fiction and non-fiction books is 2/3 and 1/3 respectively.

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I have linked a picture with the intervel.

The difference of the fractions as given in the task content is; (4-2x) / (x²-16).

According to the task content, the fractions whose difference is to be evaluated are as indicated below;

[tex] \frac{x}{( {x}^{2 } - 16)} - \frac{3}{x - 4} [/tex]

Hence, the LCM of the denominators of both fractions can be evaluated as;

x -3(x+4)/(x²-16).

(4-2x) / (x²-16)

Hence, the difference of the two fractions is; (4-2x) / (x²-16).

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The highest common factor of [tex]x^2 y[/tex] and [tex]x[/tex] is [tex]\boxed{x}[/tex]

Answer:

x = 1/2

Step-by-step explanation:

Answer:x = 1/2

Step-by-step explanation: Just took the test on EDGE!!

The function that best models the scenario is as follows;

x < 5 :  C(x) = 3.45x + 1

x ≥ 5  : C(x) = 3x + 1

A local candy shop sells boxes of chocolate for $3.45 each.

This is when the consumer purchase less than 5 boxes of chocolates.

Therefore,

x = number of boxes

when x < 5

C(x) = 3.45x + 1

If a customer purchases five or more boxes, the cost is only $3 per box. Therefore,

when x ≥ 5

C(x) = 3x + 1

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Answer:

9800 cm^2

Step-by-step explanation:

The area of a square is just the length of one of the sides squared. In the first image it's given that one of the sides is 70 cm and the shape is also a square pyramid so the base is going to be a square. So the area the base is (70 cm) ^ 2 = 4,900 cm^2. The area of a triangle is 1/2 bh. The base is given in the first image which is 70 cm and the height is also given which is 140 cm. This gives you the equation 0.5 * 140 cm * 70 cm = 4900 cm^2. Adding these two values gives you 9800 cm^2

Answer:

See below for both parts

Step-by-step explanation:

A)

Coupon Price:

$25 - 15% ($3.75) = $21.25

10% = 2.50

5% = 1.25

After taking the discount coupon off the final price is $21.25

B)

20% is given as a tip.

20% of $21.25 = $4.25

10% = 2.125

$21.25 + $4.25 = $25.50

Final price with tip is $25.50

Answer:

C

Step-by-step explanation:

The y intercept is 3, so eliminate B and D.

Also, the slope is less than 1, so this eliminates A.

This leaves us with C.

Answer:

A.) 588329.896

B.) 274300

C.) 1657.18474

D.) 1.002

(All answers unrounded.)

Explanation:

I converted each unit to the unit used in the other number (E.g., for question A I converted tons to kilograms, and then finished solving.)

Answer:

D

Step-by-step explanation:

I looked at the vertical asymptotes. -1 and 2. from the knowledge I have the answer with x=-1, 2 is D.

Answer:

D, C

Step-by-step explanation:

for part a, there is a negative slope with the graph shifted two units upwards

for part b, if you plug in C, you get an answer that works

Answer:

  a) positive real zeros: 2 or 0; negative real zeros: 2 or 0; complex zeros: 0, 2, or 4. (rule of signs)

  b) ∪-shaped, as for an even-degree polynomial with positive leading coefficient. See attached.

  c, d) See attached

Step-by-step explanation:

Descarte's rule of signs gives bounds on the number of positive and negative real roots. The numbers it gives may be reduced by multiples of 2, as complex roots will come in conjugate pairs. The total number of roots of all kinds will match the degree of the polynomial.

Synthetic division is essentially polynomial long division with some modifications:

__

The signs of the terms of the given polynomial are + - - - +. There are two sign changes, so 2 possible positive real roots.

When the signs of the odd-degree terms are changed, the signs become + + - + +. There are still two sign changes, so 2 possible negative real roots.

Either or both of these numbers can be reduced by 2 if the roots include a conjugate pair. That is, there may also be 0 possible positive real roots, and 0 possible negative real roots.

The number of non-real (complex) zeros may be any multiple of 2 up to the degree of the polynomial. The may be 0, 2, or 4 possible non-real zeros.

__

The graph is the first attachment. It shows 4 real zeros: x = -4, -2, 1, 6.

Since the polynomial is of even degree (4) and has a positive leading coefficient (+1), we expect the general shape to be ∪-shaped. It is.

__

The second attachment shows synthetic division using x = -4. (The binomial divisor is (x+4).) The remainder (lower right value in the tableau) is the value of y when x=-4. The third attachment shows synthetic division using the value x=3. (y is -210 when x=3.)

Maybe this is the table you want:

  [tex]\begin{array}{|c|c|c|}\cline{1-3}x&-4&3\\\cline{1-3}y&0&-210\\\cline{1-3}\end{array}[/tex]

__

The second attachment shows synthetic division by the factor (x+4).

_____

Additional comment

The synthetic division attachments show instructions for carrying out the synthetic division and interpreting the results. As we said above, "the entry on the left" is the opposite of the constant in the binomial divisor. It is the actual value of x you want to use to evaluate the function.

The equations shown are merely for the purpose of indicating the operations that are used. An actual synthetic division tableau is simply a 3-row table of numbers, with the bottom row being the quotient coefficients and remainder.

Answer:

Step-by-step explanation:

THIS WILL BE A STRAIGHT LINE rising to the left as the coefficient of x is negative ( -3/2),

When x = 0  y = -3 so mark the point (0, -3) on your graph paper.

When x = 6, y = -3/2 * 6 - 3 =  -9 - 3 = -12

So mark  the point (6, -12)

The graph will be the straight  line passing through the above 2 points.

Answer:

12 is the correct answer

Answer: C

Step-by-step explanation:

[tex]\sqrt{48x^{5}}=\sqrt{16x^{4}} \sqrt{3x}=\boxed{4x^{2}\sqrt{3x}}[/tex]