Which statement is true about the relationship between the amount of plant food remaining and the number of days

Answer: y = -1 and x = 3

Step-by-step explanation:

x=-2y+6

3x-4y = 28

There are two ways to solve this:  1) solve directly with the equations, and 2) graph the line and look for the intersection.

---

Use the definition of x from the first equation and substitute it in the second:

3x-4y = 28

3(-2y+6)-4y = 28

-6y + 18 -4y = 28

-10y = 10

y = - 1

---

Graph the two lines and find the value of y at the point they intersect.  See the attachment.

y = -1 at x= 8

=======================

For the second question:

y=3x-10

4x+5y=7

---

4x+5y=7

4x+5(3x-10)=7

4x+15x-50=7

19x = 57

x = 3

----

Answer:

1. L = 3D +59

2. 158 miles

Step-by-step explanation:

For the second part:

Since each day 3 miles of the road is being added, we can simply multiply the number 33 by 3, getting 99. If the road started with 59 miles, we need to add 59 to 99, getting 158 miles.

Answer:

5

Step-by-step explanation:

17+8+17+17+17+17=93

8.50+50.50+8.50+8.50+8.50+8.50=93

Step-by-step explanation:

30%=0.3

3%=0.03

1/300=0.003333

30000/100=300

Therefore the order is:

0.003;1/300;3%, 30%;1.3;30;30000/100

Answer:

Step-by-step explanation:

30%=0.3

3%=0.03

1/300=0.003333

30000/100=300

Therefore the order is:

0.003;1/300;3%, 30%;1.3;30;30000/100

Answer: 35 dots

Step-by-step explanation:

ANSWER: [tex]y=-\frac{3}{4} x +6 <=>3x=24-4y[/tex]

Ok done. Thank to me :>

Step-by-step explanation:

Very quick and effortless example of vertical angles in the attached image. When 2 straight lines intersect, the 2 angles opposite each other at that point are vertical angles, and they are always congruent.

I'd say it's the 3rd option:

"Vertical angles are a pair of non-adjacent angles formed by two intersecting lines."

but any of the first three could be technically true really. Adjacent angles are 2 angles that share a side, and vertical angles cannot share one.

Answer:

Below.

Step-by-step explanation:

Using Pythagoras theorem, let's find y.

=> y² = 3² + 3²

=> y² = 9 + 9

=> y² = 18

=> y = √18

=> y = 4.24 (Estimated)

Unfortunately, there is no options of 'y = 4.24'. Please re-check the options you posted.

Hoped this helped.

[tex](a)\\\\\text{Given that, sin x = cos x }\\\\\text{So,} ~ \tan x = \dfrac{\sin x}{\cos x} = \dfrac{\sin x}{\sin x} = 1\\\\\\(b)\\\\\text{Given that,}\\\\\sin x = \cos x\\\\\implies \dfrac{\sin x}{\cos x} =1\\\\\implies \tan x =1\\\\\implies x = n\pi + \dfrac{\pi} 4 \\\\\text{For interval}~ [0, 2\pi),}\\\\x= \dfrac{\pi}4, \dfrac{5\pi}4~~;[\text{When n = 0,1}]\\\\\text{In degrees,} ~ x= 45^{\circ} , 225^{\circ}[/tex]

Answer:

Step-by-step explanation:

Given expression:

Distribute this to get:

Correct choice is D

Answer:

D. 5 (2) + 5 (7)

Step-by-step explanation:

Given expression:

• 5(2 + 7)

Distribute this to get:

• a(b + c) = ab + ac

• 5(2 + 7) = 5(2) + 5(7)

correct choice is D

Answer:

7 and 2?

Step-by-step explanation:

i think because f(2) : f(x)= 5+2x = 7

Answer:

y = - 100

Step-by-step explanation:

Assuming you mean

y = - 4[tex](5)^{x}[/tex] ← substitute x = 2

y = - 4[tex](5)^{2}[/tex] = - 4 × 25 = - 100

Answer:

4x + 5y = 19 - (x + 5y = 16)

4x - x = 3x

5y - 5y = 0

19 - 16 = 3

3x = 3

x = 1

4x + 5y = 19

4(1) + 5y = 19

4 + 5y = 19

5y = 15

y = 3

Solution: (1,3)

Step-by-step explanation:

4x + 5y = 19 - (x + 5y = 16)

4x - x = 3x

5y - 5y = 0

19 - 16 = 3

3x = 3

x = 1

4x + 5y = 19

4(1) + 5y = 19

4 + 5y = 19

5y = 15

y = 3

Solution: (1,3)

Hope this helps! :)

Answer:

  (d)  f(x) = (x − 3)^2(x − 2)(x − 1)

Step-by-step explanation:

In this context, a crossing of the axis at x=p means there is a factor of (x-p). A "touch" of the axis at x=q means there is a factor of (x -q)^2.

A crossing at x=1 and x=2, and a touch at x=3 means the factors are ...

  f(x) = (x -1)(x -2)(x -3)^2 . . . . . matches the last choice

The shape of the cross-section resulting from the cut is Rhombus.

Given that,

All the edges of the object in the diagram are equal in length.

The object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges.

We have to determine,

What is the shape of the cross-section resulting from the cut?

According to the question,

All the edges of the object in the diagram are equal in length.

The length of all edges is equal in the rhombus.

The object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges.

When the midpoints of all the four sides of a rhombus are joined with each other, you will obtain a rectangle whose length and width will measure half of the value of the prime diagonal.

Moreover, the area of the rectangle formed in this case will be half of the rhombus.

Hence, The shape of the cross-section resulting from the cut is Rhombus.

For more details refer to the link given below.

https://brainly.com/question/18660021

Answer: C. A rhombus

Step-by-step explanation:

Answer: 61%

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

Well "value" of 3x^2 - 7x + 9 when x = 4 is just x plugged into the expression

3 * 4^2 - 7 * 4 + 9

3 * 16 - 28 + 9

= 29

Answer:

the other guy is correct, i think

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

6x - 2(x - 5) = 46 ← distribute parenthesis and simplify left side

6x - 2x + 10 = 46

4x + 10 = 46 ( subtract 10 from both sides )

4x = 36 ( divide both sides by 4 )

x = 9

Answer:

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "^-6" was replaced by "^(-6)".

Equation at the end of step

1

:

  34

 {——}2

  1

STEP

2

:

           34

Simplify   ——

           1

Equation at the end of step

2

:

 ((3-6) • x) • (34^2)

Equation at the end of step

3

:

 ((3)(-6) • x) • 38

Dividing exponents:

4.1    38   divided by   36   = 3(8 - 6) = 32

Final result :

 9x

The simplification of the given expression gives the value 9.

Simplification is defined as a process in mathematics to operate and interpret an expression to make the expression simpler.

This can be done using various results or the basic operations of numbers.

Given expression is 3⁻⁶ × (3⁴ / 3⁰)².

We have to use product rule and quotient rule of exponents to simplify this.

We know that,

xᵃ × xᵇ = xᵃ⁺ᵇ

xᵃ / xᵇ = xᵃ⁻ᵇ

Also, (xᵃ)ᵇ = xᵃᵇ

3⁴ / 3⁰ = 3⁴⁻⁰ = 3⁴

Substituting,

3⁻⁶ × (3⁴ / 3⁰)² = 3⁻⁶ × (3⁴)²

                       = 3⁻⁶ × 3⁸

                       = 3⁻⁶⁺⁸

                       = 3²

                       = 9

Hence the simplified form of the given expression is 9.

Learn more about Simplification of Expressions here :

https://brainly.com/question/5794985

#SPJ2

Answer:

3/2pi or 0.47746

Step-by-step explanation:

The ormula for circumference is:

Circumference = 2*pi*radius

Then substitute radius = 3/4km

Circumfrence = 2*pi*(3/4)km = 3/2pi or 0.47746

8 kilometers

1 kilometer every 6 minutes

Answer:

6/7 is the simplest form.

Hope this helps :)

Answer:

16.8

Step-by-step explanation:

Plug the equation (700+(-196))/((30+(3.5-(1/2))))+(-3)) into a calculator

Step-by-step explanation:

-3x + 3y = 27

-x + y = 9

y = x + 9

so the y-intercept is 9 (y value when x =0).

and as point (0, 9)

the x-intercept is the x value when y = 0 :

0 = x + 9

x = -9

and as point (-9, 0)

Answer:

x = 20, y = 10

Step-by-step explanation:

Triangle RTS is isosceles. You can tell because both of the base angles have the same measure. That means that RT must also be 15. Triangle UTR is equilateral because all 3 angles have the same measure. UT is x - 5 and is equal to RT which is 15, so x - 5 = 15, and x is 20.

Since triangle UTR is equilateral, angle URT is 60 degrees. Angle SRT is linear with angle URT, so angle SRT is 120 degrees. That means the other 2 angles must add to 60 degrees, making each one worth 30 degrees. Angle RTS says 3y, so 3y =30, and y = 10