#11: Write the equation below in standard form.
*
y - 2 = -4(x - 1)

Answer:

An equation in the slope-intercept form will be:

Step-by-step explanation:

We know The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Let x represent the time in months

Let y represent the amount of money remaining in the account.

Given that every month Monica withdraws $15 from this account for her contact lenses

Thus, the rate of change or slope = m = 15

Given that after 3 months she has $255 left in her account.

So, we take the point (3, 255)

substituting m = 15, x = 3 and y = 255 in the slope-intercept form to determine the y-intercept

y = mx+b

255 = 15(3) + b

switch sides

15(3) + b = 255

45 + b = 255

b = 255 - 45

b = 210

Now, substituting m = 15 and b = 210 in the slope-intercept form of the line equation

y = mx+b

y = 15x+210

Therefore, an equation in the slope-intercept form will be:

Step-by-step explanation:

Given

(5y - 12 ) + ( -5y - 1)

= 5y - 12 - 5y - 1

= 5y - 5y - 13

= - 13

Hope it will help):)❤

Answer:

It b

Step-by-step explanation:

All 3 sides of the shape is parallel as well as A so therefore is b

Answer:

No, because AB is not parallel to CD

Answer:

2x^2 - 7x - 4

Step-by-step explanation:

Given the expression f(x) = (2x+1)(x – 4)

To write it in standard form, we need to factorize it

(2x+1)(x – 4)

= 2x(x) - 2x(4) + x - 4

= 2x^2 - 8x + x - 4

= 2x^2 - 7x - 4

hence the expression in standard form is 2x^2 - 7x - 4

Answer: D. y ≤ -2x = 1

Step-by-step explanation: To determine the inequality, first determine the line equation.

Line equation can be written as

[tex]y-y_{0}=m(x-x_{0})[/tex] , called point-slope form of a line equation,

where

m is slope of the equation

x₀ and y₀ are points in the line

Slope is calculated as the difference between y-coordinates divided by the difference between the x-coordinates:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

From the graph, we have 2 points: (-1,3) and (1,-1), so find slope:

[tex]m=\frac{3+1}{-1-1}[/tex]

m = -2

Replacing slope and point (0,1) into point-slope form:

[tex]y-1=-2(x-0)[/tex]

[tex]y=-2x+1[/tex]

This is the equation of the line.

Now, we determine the inequality:

Observe the graph, if the line is a continuous one, it is a less-than-or-equal-to (≤) or more-than-or-equal-to (≥). If it was a dotted line, the symbol would be less-than (<) or more-than (>).

In our case, the line is continuous so it will be ≥ or ≤. To determine which one, we can plug a point located in the shaded part, for example (0,0). Substituting:

y = -2x + 1

0 ≠ -2(0) + 1

0 ≤ 1

Therefore, line equation of the graph is [tex]y\leq -2x+1[/tex].

Answer:

to what?

Step-by-step explanation:

Answer:

x+y=z

Step-by-step explanation:

Answer:

They get greater, obviously and they never lessen

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

The common difference is was is being added with each number

For example-

8 - 2 = 6

14 - 8 = 6

And so on, Therefore-

Common difference is 6

Answer:

a. x = 14

b. Perimeter = 77

Step-by-step explanation:

a. Based on the Triangle Proportionality Theorem:

[tex] \frac{2x - 2}{13} = \frac{21 - 7}{7} [/tex]

[tex] \frac{2x - 2}{13} = \frac{14}{7} [/tex]

[tex] \frac{2x - 2}{13} = 2 [/tex]

Cross multiply

[tex] 2x - 2 = 2(13) [/tex]

[tex] 2x - 2 = 26 [/tex]

Add 2 to both sides

[tex] 2x = 26 + 2 [/tex]

[tex] 2x = 28 [/tex]

Divide both sides by 2

x = 14

b. Perimeter of ∆QRS = RQ + QS + RS = (2x - 2) + 13 + 17 + (21 - 7) + 7

Plug in the value of x

= (2(14) - 2) + 13 + 17 + 14 + 7

= 26 + 13 + 17 + 14 + 7

= 77

Answer:

Step-by-step explanation:

2/3 x 4/5  multiply the terms

8/15

Answer:

-9

Step-by-step explanation:

you have a 4/15 chance of getting red and a 5/14 chance of getting yellow staight after.

Answer:   77 : 144   or  77/144

Step-by-step explanation:

First find the total number of people for each school.

Wood  Middle School : 136 + 172 = 308  

Parker Middle School: 312 + 264 = 576  

The ratio of students at Wood school to  students at Parker Middle School is  

308 : 576  = 77 : 144   or  77/144

Answer:   77 : 144   or  77/144

Step-by-step explanation:

First find the total number of people for each school.

Wood  Middle School : 136 + 172 = 308  

Parker Middle School: 312 + 264 = 576  

The ratio of students at Wood school to  students at Parker Middle School is  

308 : 576  = 77 : 144   or  77/144

Answer:

x = 48° and y = 70°

Step-by-step explanation:

As it is an isosceles triangle so base angles of isosceles triangle are equal

x +7° = 55°

x = 55° - 7°

Therefore x = 48°

Now

x + 7 = (48 + 7)°= 55°

Calculating the value of y as sum of angles of triangle is equal to 180°

y + 55° + 55° = 180°

y + 110° = 180°

y = 180° - 110°

Y = 70°

Hope it will help :)

Answer:

x=48

y=70

Step-by-step explanation:

Key skills required are triangles, isosceles triangles, one variable equations, interior angle sums

1) You have to start with the fact that the triangle is isosceles. This means that the 2 base angles (x+7 and 55) are equal to each other.

An isosceles triangle has 2 sides equal and 2 angles equal.

2) With the explanation above --> x+7=55

3) Subtract 7 from both sides and you will get x=48

4) The sum of all the angles in a triangle is 180 degrees. The two bottom angles are 55 degrees each, making their sum 55+ 55= 110 degrees.

5) 110 degrees + y degrees = 180

6) subtract 110 from both sides and y would equal 70.

Hope you understood and have a nice day!! :D

This question is incomplete, the complete question is;

Suppose that for a particular piece of machinery, the frequency distribution of monthly breakdowns is as follows;

Number of breakdowns            prob.

0                                                  0.50

1                                                   0.25

2                                                  0.10

3                                                  0.10

4                                                 0.05

The cost of a breakdown is $2,000, and the cost of a preventive maintenance program is $2,000 per month. If the preventive maintenance program is adopted, the probability of a machine breakdown is negligible. How much better off per month would the firm be if it adopted preventive maintenance

Answer:

the firm will be $100 worse off per month if it adopted preventive maintenance.

Step-by-step explanation:

Given the data in the question;

the probability of breakdown iwill be;

= (0×0.5) + (1×0.25) + (2×0.10) + (3×0.10) +(4×0.05)

= 0 + 0.25 + 0.2 + 0.3 + 0.2 = 0.95 or 95%

Now the cost of machine failure will be;

⇒ 2000 × 0.95= $1900

if they implemented preventive measures, the cost is $2000,

if the preventive measure taken the cost is $2000, the benefit is for $1900, and the output is additional cost of $100.

Therefore the firm will be $100 worse off per month if it adopted  preventive maintenance.

Answer: Are exactly like credit cards

Step-by-step explanation:

Answer:

$7.225

Step-by-step explanation:

Answer:

D) 28.90

Step-by-step explanation:

28.90 divided by 2 = 14.45 + 1.12 (sales tax) = 15.15 (which was the price he had paid)

Answer:

-10

Step-by-step explanation:

12-30

3z+12-30=-48

3z=-30

z=-10

Answer:

i think is A

Step-by-step explanation:

Answer: probability of won=

no. of won match=21

no. of total match=28

so they cut and made 3/4

probability of lost match=

no. of lost match=7

no. of total match=28

so they cut and made 1/4

HOPE THIS HELPS

Answer:

A) 1/5

Step-by-step explanation:

There are 25 candies total, and you want to choose the 5 orange candies there.

That's 5/25.

Simplifying, we divide both sides by 5.

Thus, we get:

1/5.

Answer:

79.81% probability of winning.

Step-by-step explanation:

For each ticket, there are only two possible outcomes. Either you win, or you do not. The probability of winning in a ticket is independent of other tickets. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The odds of winning the prize is 1 : 53

This means that [tex]p = \frac{1}{53}[/tex]

If I purchased 84 tickets what are the odds of winning in percentage.

To win, at least one of the tickets must have the prize, of 84 tickets, so [tex]n = 84[/tex].

We have to find [tex]P(X \geq 0)[/tex], which is given by:

[tex]P(X \geq 0) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = 0) = C_{84,0}.(\frac{1}{53})^{0}.(\frac{52}{53})^{84} = 0.2019[/tex]

[tex]P(X \geq 0) = 1 - P(X = 0) = 1 - 0.2019 = 0.7981[/tex]

79.81% probability of winning.

Answer:

12 muffins for $9.60

Step-by-step explanation:

Answer:

Answer: 2 ml

Step-by-step explanation:

1 litre is equal to 1,000 ml, and therefore the best solution is 2 ml.

Answer:

(B)

Step-by-step explanation:

Let  us denote rectangular tiles by R and square tile by S, then

According to figure.

3 rectangular tiles +2 square tiles +2 square tiles =2 rectangular tiles +4 square tiles +1 rectangular tiles +4 square tiles

∴3R+2S+2R=2R+4S+R+4S

⇒5R+2S=3R+8S

⇒5R-3R=8S-2S

⇒2R=6S

⇒R=3S

Hence, 0ne rectangle =3 square

a. Venn diagram attached below.

b. 2 students are in neither English nor Chemistry.

c. The probability that a randomly chosen student is only taking chemistry is 24/40, or 6/10 because out of the 40 students, 24 of them take exclusively the chemistry class.