Select whether the equation has a solution or not.
√5-7
no roots
O roots

9514 1404 393

Answer:

  a.  y = -1/3x +7/3

  b.  f(6) = 1/3

Step-by-step explanation:

The two given points are (1, 2) and (4, 1). The slope of the line between them is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (1 -2)/(4 -1) = -1/3

The point-slope form of the equation of the line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

We can add k to both sides of this equation and substitute for our slope (-1/3) and the first point (1, 2). This gives ...

  y = m(x -h) +k

  y = -1/3(x -1) +2

  y = -1/3x +7/3 . . . . eliminate parentheses

__

b. The value of y when x=6 is ...

  y = -1/3(6) +7/3 = (-6 +7)/3

  y = 1/3

That is, for f(x) = -1/3x +7/3, ...

  f(6) = 1/3

Answer:

Step-by-step explanation:

hmm

The graph of a quadratic function is always a parabola. The vertex of the parabola after transformation is (-1,-4).

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

The graph of the two functions can be made as shown below. Therefore, the two functions are,

y=2x² → Drawn by the red line

y = 2(x + 1)² − 4 → Drawn by the blue line

Now, the vertex of a quadratic function or a parabola is the point at which the function or the parabola changes its slope, it's either the maximum of the function or the minimum of the function, depending on which side the parabola opens.

Hence, The vertex of the parabola after transformation is (-1,-4).

Learn more about Quadratic Equations here:

https://brainly.com/question/17177510

#SPJ5

Answer:

X=5

y= -4+5(5+6)

y= -4+25+30

y= -4+55

y = 51

Answer:

A

Step-by-step explanation:

x from 0 < x < 2 is wrong because < means goes to but does not equal that value, and [tex]\leq[/tex] means it INCLUDES that value. Because the function includes it (not an open hole), you should choose A.

Answer:

In order to multiply rational expressions:

Step 1: Completely factor all numerators and denominators.

Step 2: Reduce all common factors.

Step 3: Either multiply the denominators and numerators or leave the answer in factored form.

Here is an example:

Answer:

it is 95 degrees because it is a vertically opposite angle

Answer:

86 oz

Step-by-step explanation:

1 lb = 16 oz

5 lb * 16 oz = 80 oz

80 oz + 6 oz = 86 oz

Answer:

Since its different experiment. Then it's permutation,

Therefore it's 20P5 = 1860480 Ways

Answer:

-4,-8/3,0,3,5/2

Step-by-step explanation:

im sorry if this is wrong but this is what i think it is .

Answer:

C

Step-by-step explanation:

if you don't know it choose C

Answer:

19

Step-by-step explanation:

The triangle is an isosceles and so angle SRT and angle STR are equal

also:

Angle SRT and angle STU are supplementary so their sum is equal to 180

7x + 2x + 9 = 180 add like terms

9x + 9 = 180 subtract 9 from both sides

9x = 171 divide both sides by 9

x = 19

Answer:

D

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

2x + x + x + 13 = 57

4x + 13 = 57

4x = 57-13

4x = 44

44/4 = 11

x = 11

Answer:

4/13 or 30.769%

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

11x - 2(x + 3) = 30

distribute: 11x-2x-6=30

add like terms: 9x-6=30

add 6: 9x=36

divide by 9: x=4

Answer:

x = 4

Step-by-step explanation:

11x - 2(x +3) = 30

11x -2x - 6 = 30

11x - 2x = 30 + 6

9x = 36

9x/9 = 36/9

x = 4

Answer:

The correct answer is C, 44.25. I just took the test....

Step-by-step explanation:

Answer:

He will have 8 50-cent coins

Step-by-step explanation:

Let x = the number of 10-cent coins

Let y = the number of 50-cent coins

x + y = 20         y = 20 - x

[Set up an equation] .10x + .50y = 6.80

[Multiply both sides by 100] 10x + 50y = 680

[Plug-in] 10x + 50(20 - x) = 680

[Multiply] 10x + 1,000 - 50x = 680

[Combine like terms & subtract 1,000 from both sides] -40x = -320

[Divide both sides by -40] x = 8 coins

Have a nice day! - hopefully this is correct, I got a bit turned around for a bit lol

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

D

Step-by-step explanation:

Answer:

-1.8 million. This means that the business likely spent a lot on production and generated very little sales during the first year.

Step-by-step explanation:

2.3 - 4.1= -1.8

[tex]\text{Given that,}\\\\\text{Area} = 12 b^7 b b^4 =12 b^{12}\\\\\text{Width} = 4a^2 b^2\\\\\text{Now,}\\\\\text{Length} \times \text{Width} =\text{Area} \\\\\implies \text{Length} = \dfrac{\text{Area}}{\text{Width}}=\dfrac{12b^{12}}{4a^2 b^2} = \dfrac{3b^{10}}{a^2}[/tex]

Answer:

3452.2

Step-by-step explanation:

3452.2

Answer:

3452.2

Step-by-step explanation:

we have to use bodamas rule..

Answer:

10.88

Step-by-step explanation:

Answer:

It is either 4 or 9.

Step-by-step explanation:

because you have to subtract or divide

Answer:

3 1/10 and 1 3/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

sinθ < 0 means below the x axis

cotθ = cosθ/sinθ < 0

As sinθ  is already < 0 means cosθ has to be > 0 meaning right of the y axis.

Right of y and below x is the IV quadrant.

The quadrant in which angle theta lie if sin theta < 0 and cot theta < 0 exists Quadrant IV (4).

Trigonometric Identities are equality conditions that hold for all possible values of the variables in the equation and use trigonometry functions. There exists numerous unique trigonometric identities that relate a triangle's side length and angle.

here, we have,

Sine, cosine, and tangent are the fundamental three operations in trigonometry. The cotangent, secant, and cosecant functions are derived from these three basic functions. On these functions, all trigonometrical notions exists built.

Trigonometric identities are equality conditions in trigonometry that hold for all values of the variables that appear and are defined on both sides of the equivalence. These exists identities that, geometrically speaking, involve certain functions of one or more angles.

we have,

sinθ < 0 means below the x axis

cotθ = cosθ/sinθ < 0

As sinθ  is already < 0 means cosθ has to be > 0 meaning right of the y axis.

Right of y and below x is the IV quadrant.

Hence, The quadrant in which angle theta lie if sin theta < 0 and cot theta < 0 exists Quadrant IV (4).

To learn more about trigonometric identities refer to:

brainly.com/question/7331447

#SPJ2

Step-by-step explanation:

a. 5x² - 80

b. 5(x² + 4x - 4x -16)

5(x² - 16)

5x² - 80

c. 5x² - 20x + 20x - 80

5x² - 80

d. 5x² - 11

D doesn't belong because 5x² - 11 is not the answer to A, B, or C.