Four triangles are shown

Answer:

f(-2) = -4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 3x + 2

f(-2) is x = -2

Step 2: Evaluate

Answer    4

Step-by-step explanation:

3(-2)= -6

-6+2= -4

x and y are the packs of organic and inorganic fertilizer, respectively.

pounds of nitrogen added = 2x + 6y = 120

pounds of potassium added = 3x + 2y = 54

eliminate the y terms. subtract the first equation from 3 times the second equation.

9x + 6y = 162

-2x - 6y = -120

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

7x = 42

x = 6

y = 18

Answer:

Se requiere $22 para comprar 1 kg de tomate y $21 para comprar 1 kg de frijol.

Step-by-step explanation:

Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.

Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.

En este caso es necesario plantear un sistema de ecuaciones. Entonces, en primer lugar es necesario plantear las variables:

Martha compró 4kg de tomate y 2kg de frijol y pago con $130. Esto se expresa mediante la ecuación: 4*x + 2*y= 130

El hermano de Martha pagó $85 por la compra de 1kg de tomate y 3kg de frijol. Esto se expresa como: x+3*y=85

Entonces, el sistema de ecuaciones a resolver es:

[tex]\left \{ {{4*x+2*y=130} \atop {x+3*y=85}} \right.[/tex]

Existen varios métodos para resolver un sistema de ecuaciones, siendo uno de ellos el método de sustitución, que consiste en despejar o aislar una de las incógnitas (por ejemplo,  x ) y sustituir su expresión en la otra ecuación. De este modo, obtienes una ecuación de primer grado con la otra incógnita,  y . Una vez resuelta, calculas el valor de  x  sustituyendo el valor de  y  ya conocido.

En este caso, en primer lugar despejas x de la segunda ecuación:

x= 85 -3*y

Reemplazando en la primer ecuación:

4*(85-3*y) +2*y=130

y resolviendo obtienes:

4*85 -4*3*y + 2*y=130

340 - 12*y + 2*y=130

-12*y + 2*y=130-340

-10*y=-210

y=(-210)÷(-10)

y=21

Reemplazando en la expresión obtenida anteriormente, x= 85 -3*y, se obtiene:

x=85 - 3*21

x=85 - 63

x=22

Se requiere $22 para comprar 1 kg de tomate y $21 para comprar 1 kg de frijol.

Para comprar un kilo de tomate se requieren $22, y para comprar un kilo de frijol se requieren $21.

Dado que Martha compro 4kg de tomate y 2kg de frijol y pago con $130, mientras que su hermano pago $85 por la compra de 1kg de tomate y 3kg de frijol, para determinar cuánto dinero se requiere para comprar 1kg de tomate y 1kg de frijol  se debe realizar el siguiente cálculo:

Por lo tanto, para comprar un kilo de tomate se requieren $22, y para comprar un kilo de frijol se requieren $21.

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Answer:

Ex 1. y= -5.00x + 18.00   Ex 2. y= 0.50x + -1.00

Step-by-step explanation:

(results are in decimal form, rounded to the nearest 100th)

Answer:

[tex]y=\frac{1}{3}x-1[/tex]

As the line equation represents a straight line, so the relationship between x and y is a straight line.

Therefore, option E is true.

Step-by-step explanation:

Taking two points from the given line

Finding the slope between two points

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(3,\:0\right),\:\left(x_2,\:y_2\right)=\left(-3,\:-2\right)[/tex]

[tex]m=\frac{-2-0}{-3-3}[/tex]

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

From the graph, the y-intercept can be calculated by setting the x=0 and then check the corresponding value of y.

at x = 0, y=-1

Thus, the y-intercept = -1

We know that the slope-intercept form is

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

where m is the slope, and b is the y-intercept

substituting the values of m=1/3 and the y-intercept b = -1

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

[tex]y=\frac{1}{3}x+\left(-1\right)[/tex]

[tex]y=\frac{1}{3}x-1[/tex]

As the line equation represents a straight line, so the relationship between x and y is a straight line.

Therefore, option E is true.

Answer:

2 secs after

Step-by-step explanation:

Given the height of the object modeled by the eqaution;

H(t) = 32T - 16T² where;

T is the time in seconds

The object hits the ground when h(t)= 0

Substitute H = 0 into the equation and get t as shown;

0 =  32T - 16T²

0-32T = -16T²

-32T = -16T²

32T = 16T²

32 = 16T

T = 32/16

T = 2secs

Hence the object hits the ground after 2 secs

Answer:

45

Step-by-step explanation:

15*30 is 450 rounded down is 45

Answer:

a. gradient 4

b. gradient 3

c. gradient 1

d. gradient 1

e. gradient -2

f. gradient 3

Step-by-step explanation:

to find y intercept substitute x to be 0

i.e y=3x

y=0

Answer:

Your answer is C. 26.8

Step-by-step explanation:

5 × 1.79 = 8.95

15 × 1.19 = 17.85

8.95 + 17.85 = 26.8

Answer:  C ($26.80)

Step-by-step explanation:

This is a multiplication problem.

The first 5 bags of candy cost $1.79 each, so we multiply the cost by the amount of bags that we bought for that price:

5 * 1.79 = $8.95

The rest of the bags cost $1.19 each, so we need to multiply this number by some value. To find this value, we need to know how many bags we have left. We already bought 5, and we bought a total of 20, so we need to buy:

20 - 5 = 15 bags

Multiplying the cost for the rest of the bags (1.19) by the amount of bags we need to buy still (15), we get:

15 * 1.19 = $17.85

Now we know what the cost of the first 5 bags (8.95), and we know the cost of the 15 other bags (17.85). To find the total amount of money Veronica spent, we can just add these two values together.

8.95 + 17.85 = $26.80

This total cost is shown in answer C, so that is the answer.

Answer:

The length of AB is 25.6 mi.

Step-by-step explanation:

You have to apply Sine Rule :

[tex] \frac{AB}{ \sin(90) } = \frac{22.6}{ \sin(62) } [/tex]

[tex]AB = \frac{22.6}{ \sin(62) } \times \sin(90) [/tex]

[tex]AB = 25.6 \: mi \: \: (3s.f)[/tex]

Answer:

157

Step-by-step explanation:

Answer:

can you explain what two number you added to get that number "157"

Step-by-step explanation:

Answer:

[tex]False[/tex]

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

[tex]8\left(0-9\right)[/tex] = [tex]-72[/tex]

[tex]6\left(2-12\right)-40[/tex] = [tex]-100[/tex]

[tex]Does[/tex] [tex]-72[/tex] [tex]equal[/tex] [tex]-100?[/tex]

[tex]N[/tex] [tex]O[/tex]

[tex]So[/tex], [tex]the[/tex] [tex]answer[/tex] [tex]is[/tex] [tex]false.[/tex]

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

Answer:

ways and answer in paper

Answer:

The answer is C.

Step-by-step explanation:

First, you have to find the interest amount after 6 years. In order to do this, you have to subtract :

[tex]3967.50 - 3450 = 517.50[/tex]

Next, you have to apply simple interest formula, I = (P×R×T)/100 where I repesents interest amount, P is priciple, R is interest rate and T is number of years :

[tex]i = \frac{prt}{100} [/tex]

[tex]let \: i = 517.50,p = 3450,t = 6[/tex]

[tex]517.50 = \frac{3450 \times r \times 6}{100} [/tex]

[tex]517.50 = \frac{20700r}{100} [/tex]

[tex]51750 = 20700r[/tex]

[tex] \frac{51750}{20700} = r[/tex]

[tex]r = 2.5\%[/tex]

Answer: its in the pic

Step-by-step explanation:

Answer:

for a straight line graph,pick two points on the graph - The gradient of the line =(change in y-coordinate)/change in x-coordinate)You can,also use dis to find the equation of the line Since the line crosses the y-axis when y=3 , the equation of the graph is y=1/2x +3

The carton contains 729 mL.

Fractions represent equal parts of a whole or a collection. Fraction of a whole: When we divide a whole into equal parts, each part is a fraction of the whole.

We have.

540mL x .35 = 189 mL

189 mL + 540 mL = 729 mL

The carton contains 729 mL.

Learn more about Fractions:

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Answer:

It was 14 miles from the hotel to the airport.

Step-by-step explanation:

From the information given, the taxi fair is equal to the initial fee plus the result of multiplying the price per mile for the number of miles, which is:

t=7+2.50x, where:

t is the taxi fair

x is the number of miles

Now, you can replace t with 42  and solve for x to find the miles:

42=7+2.50x

42-7=2.50x

35=2.50x

x=35/2.50

x=14

According to this, the answer is that it was 14 miles from the hotel to the airport.

Answer:

4/6

Step-by-step explanation:

just keep in multiplying the fraction upp and down

Answer:

1/-14 or -0.071428571428571

Step-by-step explanation

(-3,1) ___ -3 is x1 while 1 is y1

(-17, 2) ___ -17 is x2 while 2 is y2

slope formula is m = y2-y1/x2-x1

plug them in: m = 2-1/-17-(-3), which equals 1/-14 or -0.071428571428571

Answer:

x = 10 inches

Step-by-step explanation:

P = 2 x (L + W)

36 inches = 2 x (8 + W)

36 = 16 + 2W

2W = 20

W = 10 inches

Answer:

between 5 and 6

Step-by-step explanation:

You mean the square root of 35? You can get that by pressing the omega symbol at the bottom of the editor. Ω It's the √ the third one on the top row.

Anyway that does nothing to add to your question.

√35 is very nearly √36 which is 6

√35 is between 5 and 6. (Choice 4 down).

9514 1404 393

Explanation:

Here are the reasons:

Answer: I personally think it's true but I am not for sure

Step-by-step explanation:

Answer:

13.5π in2

Step-by-step explanation:

just took the quick check

Answer:

The original number is 572.

Step-by-step explanation:

Let the 3 digit number by xyz.

Where x is the hundreds digit, y is the tens digit and z is the units digit.

Hence, the digit is (100x + 10y + z).

From the question, the tens digit equals to the sum of the hundreds digit and the units digit.

That is,

y = x + z ...... (1)

Also, from the question, the hundreds digit of this number is 3 more than the units digit.

That is,

x = z + 3 ...... (2)

Also, from the question, If the digits were reserved, the new number is 11 less than half of the original number

If the digit were reversed, that is xyz becomes zyx. Then, the new number is (100z + 10y + x).

the new number is 11 less than half of the original number

That is,

(100z + 10y + x) + 11 = 1/2(100x + 10y + z)

This becomes

200z + 20y + 2x + 22 = 100x + 10y + z

200z - z +20y -10y +2x - 100x = -22

199z + 10y -98x = -22 ...... (3)

Solving the equations simultaneously,

Put the value of x in equation (2) into equation (1)

x = z + 3 ...... (2)

y = x + z ...... (1)

That is,

y = (z+3) + z

y = 2z + 3 ...... (4)

Put the value of y in equation (4) into equation (3)

199z + 10y -98x = -22

199z + 10(2z +3) -98x = -22

199z + 20z + 30 -98x = -22

219z -98x = -22-30

219z -98x = -52 ...... (6)

Put the value of x in equation (2) into equation (6)

219z -98(z+3) = -52

219z -98z -294 = -52

121z = -52 + 294

121z= 242

z = 242/121

∴ z = 2

Put the value of z into equation (2)

x = z + 3

x = 2 + 3

∴ x = 5

Put the values of z and x into equation (1)

y = x + z

y = 5 + 2

∴ y = 7

Hence, x = 5, y = 7 and z = 2.

Recall that the original number is 100x + 10y + z.

100x + 10y + z = 100(5) + 10(7) +2 = 500 + 70 + 2 = 572

Hence, the original number is 572.

Answer:

10:5= 2:1

Step-by-step explanation:

Hope this helped!! Give brainliest..

Answer:

If the ratio is 10:5 your answer would be 2:1

Step-by-step explanation:

Answer:

the answer is 250

Step-by-step explanation:

Answer:

10.036

Step-by-step explanation:

Remark

Draw a triangle starting with a vertical line that goes from (0,0) to (0,50).

At the point (0,50) draw a horizontal line to (200,50)

Join the point (200,50) to (0,0)

What you have is an upside down right triangle. At the point (200,50) your job is to find the angle at the vertex point.

That angle is the same as the angle of elevation.

The horizontal line is 200 feet.

The vertical line is 50 feet

Formula

Tan(angle elevation) = o/a = 50/200 = 1/4 = 0.25

Solution

tan-1(0.25) = 14.036

Conclusion

The reason you use the top angle is because you only need to do one calculation. It gives the angle of elevation because the x axis and the 200 feet are parallel. The angles are in a z formation.  so the angle you found and the angle of elevation are the 2 angles defined by the z.

Answer:

-80

Step-by-step explanation: