Write the equation of a line in point-slope form that is parallel to y=5X-2 and goes through the point (2,3)
Slope: m =
Slope-Intercept Form: y = mx + b
Point Slope Form: y - y = m(x - 1)

Answer:

Wakaba bought 18 granola bars and 9 energy drinks.

Step-by-step explanation:

From the information given, you can write the following equations:

0.50x+2y=27 (1)

x=2y (2),where:

x is the number of granola bars

y is the number of energy drinks

You can replace (2) in (1) and solve for y:

0.50(2y)+2y=27

y+2y=27

3y=27

y=27/3

y=9

Now, you can replace the value of y in (2) to find x:

x=2(9)

x=18

According to this, the answer is that Wakaba bought 18 granola bars and 9 energy drinks.

Answer:

4567

Step-by-step explanation:

sdjfgkh

Answer:

1880000

Step-by-step explanation:

1880 * 1000 = 1880000

hi

(y-7)  (y+6) =   y²+6y -7y -42

                  =    y² -y -42

Answer:

$22.75

Step-by-step explanation:

if you multiply $32.50 * 30% you get $9.75

32.50-9.75=$22.75

Answer:

$22.75

Step-by-step explanation:

Convert percent to decimal:

30%=30/100=0.3

Percent formula:

a(1-r)

a(1−r)

32.5(1-0.3)

32.5(1−0.3)

32.5(0.7)

32.5(0.7)

22.75

22.75

Price after discount:

$22.75

Answer:

The equation in standard form is [tex]y = -x^{2}+8\cdot x -18[/tex]. The "a" value is -1.

Step-by-step explanation:

A quadratic function is the standard form of the parabola. We can take advantage of the symmetry property of the parabola by using the following formula from the Analytical Geometry:

[tex]y - k = C\cdot (x-h)^{2}[/tex] (1)

Where:

[tex]C[/tex] - Parabola constant, dimensionless.

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Depedent variable, dimensionless.

[tex]h[/tex], [tex]k[/tex] - Coordinates of the vertex of the parabola, dimensionless.

If we know that [tex](x_{1},y_{1})=(2,-6)[/tex], [tex](x_{2},y_{2})=(7,-11)[/tex] and [tex]h = 4[/tex], then we have the following system of linear equations:

[tex](x_{1},y_{1})=(2,-6)[/tex]

[tex]-6-k = C\cdot (2-4)^{2}[/tex]

[tex]4\cdot C +k = -6[/tex] (2)

[tex](x_{2},y_{2})=(7,-11)[/tex]

[tex]-11-k =C\cdot (7-4)^{2}[/tex]

[tex]9\cdot C + k = -11[/tex] (3)

By clearing [tex]k[/tex] in (2) and (3) and equalizing each other, we get that:

[tex]-6-4\cdot C = -11-9\cdot C[/tex]

[tex]5\cdot C = -5[/tex]

[tex]C = -1[/tex]

And the remaining variable is calculated by substituting directly on (3):

[tex]k = -11-9\cdot C[/tex]

[tex]k = -11-9\cdot (-1)[/tex]

[tex]k = -2[/tex]

Then, the equation of the parabola is:

[tex]y+2 = -(x-4)^{2}[/tex]

And the standard form of the equation is obtained by algebraic handling:

[tex]y+2 = -(x^{2}-8\cdot x + 16)[/tex]

[tex]y + 2 = -x^{2}+8\cdot x -16[/tex]

[tex]y = -x^{2}+8\cdot x -18[/tex] (4)

The equation in standard form is [tex]y = -x^{2}+8\cdot x -18[/tex]. The "a" value is -1.

Answer:

it is -⅕ if youre asking for the slope

Answer:

I don't know what your looking for but the dots are at -3,-1 and 2,-2

Step-by-step explanation:

Answer:

♡ madeline here ♡

- 1 is your answer. ✿

✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧

Step-by-step explanation:

Answer:

D ( if you add +4 to the (x + 3)^2)

Step-by-step explanation:

Parent function is f(x) = x^2

A translation 3 units left gives y = )x + 3)^2

- and 4 up gives y = (x + 3)^2 + 4 - vertex form.

Standard form :

y = x^2 + 6x + 9 + 4

= x^2 + 6x + 13.

Answer:

2.a. The price of 2.75 kg of pears is $4.62

2.b. The price of 0.19 kg of Pears is $ 0.3192

Step-by-step explanation:

The given parameters are;

The price of each kilogram of Pears = $1.68

Therefore, we have;

The price of a given mass of Pears = The mass in Kg of the Pears × The price per kg of Pears

2.a. The price of 2.75 kg of pears = The mass × The price per Kg = $1.68/kg × 2.75 kg = $4.62

The price of 2.75 kg of pears = $4.62

2.b. The price of 0.19 kg of Pears = The mass × The price per Kg = $1.68/kg × 0.19 kg = $ 0.3192

Answer:

1.5

Step-by-step explanation:

it is one and one half, in other words.

Answer:

36 oz of cream cheese

sugar: 45 divided by 15 equals 3

12 times 3 equals 36

Answer:

He covers 10/3 or 3 1/3 square feet in 1 hour

Step-by-step explanation:

Seance he covers 2/3 feet in 1/5 hours 2*5 will give you 10 so you have 10/3

Answer:

No, yes, yes, no

Step-by-step explanation:

23.6/4.02=5.87

2.36/40.2=0.0587

2360/402=5.87

2.36/0.402=5.87

236/4020=0.0587

Answer:

x = -20

Step-by-step explanation:

1) Isolate x

-2.5x - 10 = 40

+ 10 + 10

-2.5x = 50

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

-2.5 -2.5

x = -20

Answer:

x=-20

Step-by-step explanation:

-2.5x -10=40

-2.5x -10+10=40+10

-2.5x=50

-2.5x/-2.5=50/-2.5

x=-20

Answer:

the sum of 7/8 and -7/8 is zero

Step-by-step explanation:

this is because they cancel each other out

Answer:

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

u can use the ration method

15:15+36

20:6x-7

then cross multiply

and x =12.5

Answer:

x = 12.5

Step-by-step explanation:

The large outer triangle and the small inner triangle are similar, thus the ratio of their corresponding sides are equal, that is

[tex]\frac{20}{6x-7}[/tex] = [tex]\frac{15}{15+36}[/tex] = [tex]\frac{15}{51}[/tex] ( cross- multiply )

15(6x - 7) = 1020 ( divide both sides by 15 )

6x - 7 = 68 ( add 7 to both sides )

6x = 75 ( divide both sides by 6 )

x = 12.5

Answer:

8(a+4)=8a+32

Step-by-step explanation:

Use the distributive property.

Given:

Total number of people who signed up = 76

Each boat can transfer = 9 peoples

To find:

The number of boats required.

Solution:

We know that,

[tex]\text{Required number of boats}=\dfrac{\text{Total number of peoples}}{\text{Number of peoples transferred by each boat}}[/tex]

On substituting the values, we get

[tex]\text{Required number of boats}=\dfrac{76}{9}[/tex]

[tex]\text{Required number of boats}=8.44...[/tex]

Number of required boats must be a whole number. So, approximate the data to the next whole number.

[tex]\text{Required number of boats}=9[/tex]

Therefore, the required number of boats is 9.

Answer:

5: 6

Step-by-step explanation:

becuase it was basically 100:120 but divide it by 20 and thats  how you get 5;6

Answer:

-6

Step-by-step explanation:

greater than -8

absolute value is even

absolute value is between 5 & 11

Answer:

15/8 quartz of grape juice

Step-by-step explanation:

Given that:

Standard Recipe requirement :

1 1/2 quartz of sparkling water requires 3/4 quatz of grape juice

Number of grape juice required for 15/4 of sparkling water ;

Let quartz of grape juice required = x

1 1/2 sparkling water = 3/4 grape juice

15 /4 sparkling water = x grape juice

3/2 = 3/4

15/4 = x

Cross multiply ;

3/2 x = 15/4 * 3/4

3/2x = 45/ 16

x = 45/16 ÷ 3/2

x = 45/16 * 2/3

x = 90/48 = 15/8

x = 15/8 quartz of grape juice

Answer:

a=50

b=40

c=80?

Step-by-step explanation:

a=50 (180-130)

b: 50+90=140 180-140= 40 b=40

c= 40+60=100 180-100=80?

Answer:

y = −2x+14

plot the points on a graph, and find the slope :)

Answer:

Less

Step-by-step explanation:

Think of it like this:

Four times of 0.36

0.36 + 0.36 + 0.36 + 0.36 = 1.44

So 4 × 0.36 is less than 4

Hope I helped your little sista :)