Please help when you're able to!

[tex]y = -\frac{1}{2}x - 1[/tex]

Step-by-step explanation:

Let's pick two points on the line: [tex]P_1(-4, 1)[/tex] and [tex]P_2(2, -2).[/tex] Let's calculate the slope of this line using these points:

[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-2 - 1}{2 - (-4)} = -\dfrac{1}{2}[/tex]

With this value of the slope, we can write the general slope-intercept form of the equation as

[tex]y = -\frac{1}{2}x + b[/tex]

To solve for the y-intercept b, let's use either P1 or P2. I'm going to use P2:

[tex]-2 = -\frac{1}{2}(2) + b \Rightarrow b = -1[/tex]

Therefore, the slope-intercept form of the equation is

[tex]y = -\frac{1}{2}x - 1[/tex]

Answer:

Carla's suitcase was a better purchase.

Step-by-step explanation:

The complete question is:

Carla and Daniel bought identical suitcases at different stores. Carla's suitcase originally cost $75 and was discounted 19% Daniel's suitcase original cost $85 and was on sale for 20% off the original price. Which suitcase was the cheaper?

Solution:

Cost Price of Carla's suitcase = $75

       Discount% for Carla = 19%

       The amount paid by Carla is,

       So, the amount paid by Carla was, $60.75.

Cost Price of Jeana's suitcase = $85

       Discount% for Jeana = 20%

       The amount paid by Jeana is,

       So, the amount paid by Jeana was, $68.

Carla's suitcase was a better purchase.

Answer: B

Step-by-step explanation:

2/3 means 1.5

Answer:

61.8

Step-by-step explanation:

[tex] \frac{55.1 + 67.9 + 59.2 + 64.1 + 61.8 + 62.7}{6} [/tex]

Step-by-step explanation:

1.2 × 2.8

(2 - 0.8 )(2 + 0.8)

2² - (0.8)²

4 - 0.64

3.36

[tex]\begin{gathered}1.2 \times 2.8 \\ = (2 - 0.8)(2 + 0.8) \\ = {(2)}^{2} - {(0.8)}^{2} \\ = 4 - 0.64 \\ = 3.36\end{gathered}

[/tex]

3.36

Hope it helps.

Do comment if you have any query.

Answer:

[tex]\frac{p^2-25}{p^2-10p+25}[/tex]

We can factorise the numerator with the difference of squares formula:[tex]x^2-y^2=(x+y)(x-y)[/tex]

-----------------------------

[tex]\frac{p^2-5^2}{p^2-10p+25} =\frac{(p+5)(p-5)}{p^2-10p+25}[/tex]

Now we can factorise the denominator:

[tex]\frac{(p+5)(p-5)}{p^2-10p+25} =\frac{(p+5)(p-5)}{(p-5)^2}[/tex]

[tex]\frac{(p+5)(p-5)}{(p-5)^2} =\frac{(p+5)(p-5)}{(p-5)(p-5)}[/tex]

Cancel out the common factor of (p-5):

[tex]\frac{(p+5)(p-5)}{(p-5)(p-5)} =\frac{(p+5)}{(p-5)}[/tex]

Answer:

95

Step-by-step explanation:

100 divided by 5 plus 25 times 3 is 95 :)

100/5=20

25x3=75

75+20=95

95

Answer:

The rule for a profit-maximizing perfectly competitive firm is to produce the level of output where Price= MR = MC, so the raspberry farmer will produce a quantity of 90, which is labeled as e in Figure 4 (a). Remember that the area of a rectangle is equal to its base multiplied by its height.

Answer:

that's definitely true

Answer:

  no

Step-by-step explanation:

A rational function is the ratio of two polynomials. It will have a vertical asymptote if there is a real denominator zero that is not matched by one in the numerator.

Polynomials in general may or may not have real zeros, and two polynomials may have the same zero. Hence conditions may exist for a rational function not to have any vertical asymptotes.

An example with no vertical asymptotes is ...

  f(x) = (x -1)/(x^2 +1)

Answer:

  State A loses a seat to State B when the total is increased

Step-by-step explanation:

The "work" is most easily done by a spreadsheet, as the calculations are easily defined and very repetitive.

The "fair share" of seats is the fraction the population is of the total, multiplied by the total number of seats. It will generally be a mixed number (integer plus fraction).

If the whole number is 1 or greater, the number of seats allocated at least that whole number.

If not all seats are allocated, the fractions are sorted in decreasing order, and 1 additional seat is added to the allocation for each state, working down the list, until all of the seats are allocated.

__

The attachment shows State A has the highest fraction when the number of seats is 24. Only one additional seat needs to be allocated in that case. State A gets that extra seat.

When the number of seats is 25, States B and C have the highest fractions. Each of them gets one additional seat, and State A gets no additional seats. This results in the appearance of State A giving up a seat to State B.

_____

Additional comment

Hamilton's apportionment method was used for a number of years in the US. The method now in use is substantially different. The current method would divide the 24 seats so that A=3, B=6, C=15. The 25th seat would be given to State A.

Answer:

there a answer I'm not good in math

If the price was reduced by $2.19, the original price of the scarf would be $2.19 + $8.40 which is $10.59

Answer:

The original price of the scarf was $10.59.

Step-by-step explanation:

"The price of a scarf is reduced by 2.19. The price is now 8.40."

Let X be the original price of the scarf.

That can be written as an equation like this:

x - 2.19 = 8.40

Now, just solve for x. Add 2.19 to both sides:

x = 10.59

The original price of the scarf was $10.59.

Answer:

Step-by-step explanation:

(2ab^2 + 3c^2) (2ab^2 + 3c^2) = 4a^2b^4 + 6ab^2c^2 + 6ab^2c^2 + 9c^4

= 4a^2b^4 + 12ab^2c^2 + 9c^4

Answer:

No

Step-by-step explanation:

Substitute the values for their respective variable and evaluate.

[tex]1=2(2)-1\\1=4-1\\1\neq 3[/tex]

Therefore, (2, 1) is not a solution to the equation y = 2x - 1.

(2, 1) is in the form of (x, y).

Then,

☆ x = 2

☆ y = 1

Equation =》y = 2x - 1

Now, substitute the values.....

=》y = 2x - 1

=》(1) = 2(2) - 1

=》1 = 4 - 1

=》 1 ≠ 3

So, (2, 1) is NOT a solution to the equation y = 2x - 1.

______

Hope it helps ⚜

A

Step-by-step explanation:

just trust me that is the correct answer

Answer:

Step-by-step explanation:

Answer:

(-3,0)

Step by step explanation:

make x the subject of the formula in equation 2

x-3y=-3

x = 3+3y

substitute x in equation 1

5(3+3y)-3y = -15

open the brackets

15+15y-3y = -15

15+12y=-15

12y = 15-15

12y = 0

divide both sides by 12

y = 0

substitute y in equation 2

x - 3(0) = -3

x - 0 = -3

x = -3+0

x = -3

therefore x = -3

y = 0

Answer:

Step-by-step explanation:

3

The firework reaches the ground after 6.25 seconds.

A projectile is the curved motion of an object thrown into space under the influence of gravity.

Given that the firework experiences a projectile motion given by the equation:

h = -16t² + 84t + 100

where h is the height after t seconds.

The firework reaches the ground when h = 0, hence:

0 = -16t² + 84t + 100

t = 6.25 seconds.

Therefore the firework reaches the ground after 6.25 seconds.

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Step-by-step explanation:

-1728 y'all i do by using calculator and it is correct

Answer:

its -1728

Step-by-step explanation:

i worked it out right.

the answer is 90 hope this help.

Answer:

19

Step-by-step explanation:

in any parallelogram the diagonals bisect each other evenly. that means if JM = 19, ML is also 19. hope this helps

Answer:

=r-10+10>-7+10

=r>3

first add +10 to the both sides so as to balance the inequality then do a simple calculation which results you to the final answer.

For r > 3, the inequality r - 10 > -7 is satisfied.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. An inequality is a relation comparing two expressions. For example -

3x + 4 > 5

ax + b < c

We have the following inequality -

r - 10 > -7

We can write -

r - 10 > -7

r - 10 + 10 > - 7 + 10

r > 3

Therefore, for r > 3, the inequality r - 10 > -7 is satisfied.

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Answer:

Yes.

Step-by-step explanation:

If you use the vertical line test, you'll see that the line only touches the graph at one point.

Explanation:

10h represents the cost of $10 per hour for h hours, where h is some positive whole number. We tack on the extra $5 to add on the cost of gas.

For example, if the babysitter works for 7 hours, then h = 7. It leads to a cost of 10h+5 = 10*7+5 = 70+5 = 75. The total cost is therefore $75 in this case.

Answer:

249.9

uhm.. correct me if im wrong

Applying the definition of alternate angles and angles on a straight-line: m<ACB = 84°.

Recall:

The diagram showing the information and sketch of the Highland Park is attached below (see attachment).

Thus:

m<BAC = 36° (given)

m<BCE = 60° (given)

<ACD = <BAC (alternate angles)

m<ACD = 36°

m<ACB = 180° - (m<ACD + m<BCE) (angles on a straight-line)

m<ACB = 180° - (36° + 60°)

m<ACB = 84°

Thus, applying the definition of alternate angles and angles on a straight-line: m<ACB = 84°.

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