Guessing the initial of a students middle name

Answer:

The value of c that completes the square  [tex]x^2+2x+c[/tex] is 1

Step-by-step explanation:

We need to find the value of c that completes the square  [tex]x^2+2x+c[/tex]

The formula used will be: [tex]a^2+2ab+b^2=(a+b)^2[/tex]

In the question given the value c can be found by breaking the middle term. we are given 2x while the general formula is 2ab for middle term so,

2(x)(1) = 2x

so, c= 1

Solving:

[tex]x^2+2x+c\\=x^2+2(x)(1)+(1)^2-(1)^2\\=(x+1)^2-1[/tex]

So, the value of c that completes the square  [tex]x^2+2x+c[/tex] is 1

Step-by-step explanation:

-4 = x - y ...1

4 = -x + y ...2

...1 + ...2

-4+4 = x-y +(-x+y)

0 = 0

and I don't know next lol

Answer: x=3

Step-by-step explanation:

1. First lets do the parenthesis 3(4x+2) to get 12x+6

2. 12x+6=8x+24-2x (combine like terms) first lets do 8x and 2x first so its 8-2= 6x

3. 12x+6=6x+24 (now subtract 12x by 6x to get 6x)

4. 6x+6= 24 (now subtract 24 by 6 to get 18)

5. 6x= 18 (now divide 18 by 6 to get 3)

Answer:

Step-by-step explanation:

[tex]3(4x+2)=8x+24−2x[/tex]

Expand and simplify

We have

[tex]12x + 6 = 8x + 24 - 2x \\ 12x + 6 = 6x + 24[/tex]

Move 6x to the left side of the equation

[tex]12x - 6x + 6 = 24 \\ 6x + 6 = 24[/tex]

Move 6 to the right side of the equation

[tex]6x = 24 - 6 \\ 6x = 18[/tex]

Divide both sides by 6

[tex] \frac{6x}{6} = \frac{18}{6} \\ [/tex]

We have the final answer as

Hope this helps you

Answer: 10 divided by 2 is 5 12 divided by 2 is 6

Answer: 20:24 and 50:60

Step-by-step explanation:

Answer:

Pat Pet's Palace

Step-by-step explanation:

Price of dog food at Pat Pet's Palace = $3 per pound

Price of dog food at Mark's Mutt Market can be estimated using the graph given.

The graph is a proportional graph, thus, the constant of proportionality between cost and pound = y/x

Using the coordinates of a point on the line, (2.5, 10), constant of proportionality or unit rate = y/x = 10/2.5 = 4.

This means the price of dog food at Mark's Mutt Market is $4 per pound.

Therefore, Milo would pay a lower price per pound for dog food at Pat Pet's Palace.

Answer:

Step-by-step explanation:

At home depot

Price of Christmas tree = $149.00

Discount = 15%

Amount discounted = 15% of $149

Amount discounted = 15/100 * $149

Amount discounted = 15 * 1.49

Amount discounted = $22.35

Amount she paid = $149-$22.35

Amount she paid = $126.65

At Lowe's:

Price of Christmas tree = $175.00

Discount = 260%

Amount discounted = 20% of $175

Amount discounted = 20/100 * $175

Amount discounted = 0.2 * 175

Amount discounted = $35

Amount she paid = $175-$35

Amount she paid at Lowe's = $140

From the prices above, it can be seen that Home Depot has a better deal since the price after removing discount is lower than that of Lowe's.

Amount she will save will be $140 - $126.65 = $13.35

Answer: She can make 20 liters of chai.

Step-by-step explanation:

As per given,

1 liter of chair requires 0.15 g of secret ingredient.

So , for 1 g of secret ingredient , quantity of chai she would make = [tex]\dfrac{1}{0.15}=\dfrac{100}{15}[/tex]

For 3g  of secret ingredient , quantity of chai she would make = [tex]\dfrac{100}{15}\times3[/tex]

[tex]=\dfrac{100}{5}=20[/tex]

Hence, she can make 20 liters of chai.

She will need 20 litres of chili for 3g of the ingredient

If Sarah is making chili she has 0.15 g of a secret ingredient to each liter of chili, this is expressed as:

0.15g = 1 chili

To get the amount of chili needed for 3g, we can write;

3g = x

Divide both expression

0.15/3 = 1/x

x = 3/0.15

x = 20

Hence she will need 20 litres of chili for 3g of the ingredient

Learn more on proportions here: https://brainly.com/question/18437927

Answer:

The correct answer for me was true

Step-by-step explanation:

Answer:

$319.68

Step-by-step explanation:

First, you have to add up all the hours. 4 + 4.5 + 7.25 + 12 = 27.25. Then, you multiply that times the amount of money per hour (11.52) and get $319.68 for the whole week. Hope this helped! If it did, please mark me as brainliest. Thanks!

Answer:

19. Option A

20. Option B

Step-by-step explanation:

Answer:

A & C

-4-7=-11 and -4+(-)=-11

-7-(-12) and -7+12

Step-by-step explanation:

-4-7= -11, -4+ (-7)= -11

-7-(-12) turns into -7+12=5

the second equation is the same as the first (after using PEDMAS), resulting in the answering being -7+12=5

The pairs of expressions that are equivalent will be -4 - 7 & -4 + (-7) and -7 - (-12) & -7 + 12. Then the correct options are A and C.

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Check all the options, then we have

A. -4 - 7 and -4 + (-7), then we have

-4 - 7 = - 4 + (-7)

B. 16 - 7 and -16 + 7, then we have

16 - 7 ≠ - 16 + 7

C. -7 - (-12) and -7 + 12, then we have

- 7 - (-12) = - 7 + 12

D. -2 - 3 and 2 + 3, then we have

- 2 - 3 ≠ 2 + 3

E. 10 - 2 and 10 - (-2), then we have

10 - 2 ≠ 10 - (-2)

The pairs of expressions that are equivalent will be -4 - 7 & -4 + (-7) and -7 - (-12) & -7 + 12. Then the correct options are A and C.

More about the equivalent link is given below.

https://brainly.com/question/889935

#SPJ3

Answer:

The probability that the next customer will pay with credit card is approximately 0.33

Step-by-step explanation:

The given parameters are;

The number of customers that paid cash = 80 customers

The number of customers that used a debit card = 7 customers

The number of customers that used a credit card = 42 customers

The total number of different payments made = 80 + 7 + 42 = 129 payment

Probability = The number of desired outcome/(The number of possible outcome)

The probability that the next customer will pay with credit card = (The number of customers that used a credit card)/(The total number of different payments made)

∴ The probability that the next customer will pay with credit card = 42/129 ≈ 0.33 to the nearest hundredth.

Answer:

2/3

Step-by-step explanation:

rise over run so you go done then over

Answer:

2/3

Step-by-step explanation:

When counting the slope from points, I like to use this method. Pick 2 points you see the line crosses through and then count the steps up/down and to the side one is from the other. In this case, you can count like this:

"Up 2, over 3"

Now we know the slope is 2/3.

HTH :)

Answer:

y=-8

Step-by-step explanation:

7(y + 2) – (4y – 10)

=7y+14-4y+10

=3y+24

3y=-24

y=-8

Answer:

Step-by-step explanation:  V= Voltage

                                               I= Current

                                               R= Resistance

Ohm's Law Mathematically expressed as: I= V/R or V= IR or R= V/I

V= 500

I= ?

R= 250

I= V/R

I= 500/250

I= 2 amps

Answer:

I know it know!!!!

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

6x + 4 = 12x - 20

x = 4

Answer:

Step-by-step explanation:

Step one:

given data

needed amount= $80

the amount already saved= $8

earnings per hour= $9

let the number of hours worked be n

and let y represent the total

the situation represented linearly is

y=mn+c

Step two:

substituting our data to find n

9n+8>80

9n>80-8

9n>72

divide both sides by 9

n>72/9

n>8

Therefore he must work a minimum of  8houees

Answer:

6/36

Step-by-step explanation:

1/36 + 5/36 = 6/36 OR 1/6

Answer:

1/5 of the farmers land has potatoes and pea plants growing on it

Step-by-step explanation:

so we are trying to figure out how much of the land is covered in potatoes and pea plants together so we add their fractions together

1/36 + 5/36 = 6/36

we then simplify the fraction by dividing both numbers by 6 since 6 can go equally within the fraction:

6/36 divided by 6  = 1/5

so 1/5 of his land is covered by potatoes and pea plants

Answer:

Step-by-step explanation:

Step one:

given that the box is 30 ounce of cereal.

for Jiro----who ate 3/10 of the 30 ounce

=3/10*30

=9 ounce

Jiro ate 9 ounce

step two:

for Joey----who ate 5/10 of the 30 ounce

=5/10*30

=15 ounce

Joey ate 15ounce

the total ounces that both of them ate is

=9+15

=24

therefore the ounce left

=30-24

=6 ounce of cereal

The left over is 6 ounce of cereal

Answer:

i guess its 24.03 ft

Step-by-step explanation:

let height of pole be perpendicular length and distance from pole be the base .so tan59=P/b..& b= 24.03ft

Answer: 1.15

Step-by-step explanation:

Answer:

1.15 is the answer

Step-by-step explanation:

Answer:

(11,-2)

Step-by-step explanation:

11+5 /2=  8

6+-2= -4/2=-2

Answer:

(11,-2)

Step-by-step explanation:

The one point you have is P(5,6)

The midpoint is (8,2)

The other point is (x,y)

(x + 5) /2 = 8

(x + 5) = 8*2

x + 5 = 16

x = 16-5

x = 11

===========

(y + 6)/2 = 2

y + 6 = 2*2

y + 6 = 4

y = 4 - 6

y = - 2

Answer:

4 / 15

Step-by-step explanation:

Of all students ; 5/9 have a pets

Of the 5/9 who have a pet; 12 /25 have a dog

Fraction of the student in the school who have a dog;

12 /25 of fraction with pet

= 12 /25 of 5 /9

= 12 /25 * 5 / 9

= (12 * 5) / (25 * 9)

= 60 / 225

= 4 / 15

Answer:

-4

Step-by-step explanation:

4x-3.5(2x-8)=40

4x-7x+28=40

-3x=40-28

-3x=12

x= -4

Answer:

x=71 degrees

Step-by-step explanation:

Step-by-step explanation:

gegsbdqneyqillzfjmtucznYEmdnfhhthtej62wrr334tyyytyyttffgfrwgeyeyiqlstl7o4a1‍‍

9514 1404 393

Answer:

  The domain is always discrete when it is found from a table.

Step-by-step explanation:

A table necessarily lists a finite number of discrete points. The domain, as found from a table, is always discrete.

__

If the table is said to be a representation of a continuous function, then the domain of that continuous function will be continuous.

Your question seems to have to do with a table alone, not a table and an equation, or a table and a graph. A table (of points) alone cannot express a continuous domain.

__

Additional comments

One can conceive of tables that would have continuous domains, as, for example, a table with entries ...

  (x, y) = (0 ≤ x < 3, 3x+2), (3 ≤ x < 6, 4x-1), ...

Such a table is not a list of points, but is a piecewise function definition. We presume this is not what you're concerned with.

The slope of the perpendicular line will be - 5/8.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (2, 1) and (7, 9).

Now,

Since, We know that;

The slope of the line passing through the points (x₁ , y₁) and (x₂, y₂) is;

⇒ m = (y₂ - y₁) / (x₂ - x₁)

So, The slope of the line passing through the points (2, 1) and (7, 9) is;

⇒ m = (y₂ - y₁) / (x₂ - x₁)

⇒ m = (9 - 1) / (7 - 2)

⇒ m = 8 / 5

Since, The product of the slope of the perpendicular lines is - 1.

Here,  Line b is perpendicular to a.

So, The slope of the line b is,

m₂ = - (1/8/5)

    = - 5/8

Thus, The slope of the perpendicular line will be - 5/8.

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ2

Answer:

x=2,1 solving with quadratic formula

Step-by-step explanation: