find the y-intercept for parabola defined by this equation: y=-4x^2-x+3

Answer:

12

Step-by-step explanation:

1 - 1/4 = 3/4 (remaining animals which are cats and ferrets)

1 - 8/9 = 1/9 (means 1/9 of the remaining animals are ferrets)

1/9 x 3/4 = 1/12 (means 1/12 of the animals are ferrets)

1/12 x 144 = 12 ferrets

Answer:

It will take 4 seconds. She will have to run 32 meters

Step-by-step explanation:

The formula to calculate the distance in terms of speed and time is:

distance = speed x time

Let x represent the distance Bridget run. Since Tylor starts 4 meters ahead, the distance for the Tylor is x-4. The time is same for both of them, let us represent it with t.

The distance by Bridget: x = 8t → t = x/8

The distance by Tylor: x - 4 = 7t → t = (x-4)/7

→ x/8 = (x-4)/7

→ 7x = 8(x-4)

→ 7x = 8x - 32

→ x = 32

Since x = 32 and t = x/8

→ t = 32/8 = 4

Answer:

Range={ -5,-1,3,7). [ option C]

Please see the attached picture for full solution..

Hope it helps..

Good luck on your assignment..

This equals 320 tablespoons.

Answer:

k = 21 miles per hour

Step-by-step explanation:

The constant of proportionality is

k = 84/4

k = 21 miles per hour

Answer:

[tex]21 \: \: \: miles \: \: \: per \: \: \: hour[/tex]

Step-by-step explanation:

[tex]4 \: \: \: hours = 84 \: \: miles \\ 1 \: \: \: hours = x[/tex]

Use cross multiply

[tex]4x = 84 \\ \frac{4x}{4} = \frac{84}{4} \\ x = 21[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Not a function

Step-by-step explanation:

This is not a function because there are different outputs for the same input.

Answer:

NOT A FUNCTION

Step-by-step explanation:

a function cant have multiple y coordinates for the same X

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ω

Answer:

(2d +7y) cm

Step-by-step explanation:

length of rope= 1st part +2nd part +3rd part

1st part= 2d

2nd part= d +2y

3rd part

= 2nd part +3y -2d

= d +2y +3y -2d

= 5y -d

Thus, length of rope

= 2d +d +2y +5y -d

= (2d +7y) cm

The right answer is -2/3

please see the attached picture for full solution

Hope it helps..

Good luck on your assignment..

Answer:

-2/3

Step-by-step explanation:

m = (y2-y1)/(x2-x1)

(10-12)/(5-2) = -2/3

Answer:

[tex]Slope:\frac{3}{2}\\y-intercept:2[/tex]

Step-by-step explanation:

Answer:

The equation of the circle is

(x + 4)^2 + (y-1)^2 = 162

Step-by-step explanation:

Here, we want to give the correct equation of the circle.

The center of the circle is (-4,1)

Now the other parameter we need to show the equation of the circle is the radius of the circle and this can be obtained from the distance between the circle center and a point on the circumference.

We use the distance formula to calculate this.

So the distance we want to calculate is the distance between;

(-4,1) and (5,-8)

using the distance formula, we have

d = √(x2-x1)^2 + (y2-y1)^2

Substituting these values, we have;

d = √(5 + 4)^2 + (-8-1)^2

d = √(9^2 + 9^2)

d = √(162)

d = 9 √2 units

The formula for the equation of a circle is

(x-h)^2 + (y-k)^2 = r^2

where (h,k) are coordinates of the center which is (-4,1) in this question

The way of the circle is thus,

(x-(-4)^2 + (y-1)^2 = {9√(2)}^2

(x + 4)^2 + (y-1)^2 = 162

Answer: D.6

Step-by-step explanation:

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. In plain English, the definition means: The range is the resulting y-values we get after substituting all the possible x-values.

The on;y possible value for y is Y=6, so the answer is D

Answer:

6

Step-by-step explanation:

The range is the output values, or in this case the y values

The only y value is 6

The range is 6

Answer:

143

Step-by-step explanation:

Since the values of x y and z are given

Substitute the value in the polynomial, so it'll become,

x+yz+xyz

= (3)+(-5)*(-7)+(3)*(-5)*(-7)

= 3+35+(3)*(-7)*(-5)

{Two negatives when multiplied becomes positive}

=3+35+3*35

= 3+35+105

=143

Answer:

[tex]x=8,\:x=-3[/tex]

Step-by-step explanation:

[tex]x^2-5x-24=0\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\mathrm{For\:}\quad a=1,\:b=-5,\:c=-24:\quad x_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:1\left(-24\right)}}{2\cdot \:1}\\\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}\\x=8,\:x=-3[/tex][tex]=\frac{5+\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}}{2\cdot \:1}\\5+\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}\\5+\sqrt{121}\\=\frac{5+\sqrt{121}}{2}\\=\frac{5+11}{2}\\=\frac{16}{2}\\=8\\\frac{-\left(-5\right)-\sqrt{\left(-5\right)^2-4\cdot \:1\cdot \left(-24\right)}}{2\cdot \:1}\\=\frac{5-\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}}{2\cdot \:1}\\5-\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}\\\left(-5\right)^2\\=25\\4\cdot \:1\cdot \:24\\=96\\=5+\sqrt{25+96}\\[/tex]

[tex]\frac{5-\sqrt{121}}{2\cdot \:1}\\\frac{5-11}{2}\\=-\frac{6}{2}\\=-3\\[/tex]

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

78 + 47 = 125

125/25 = 5

Answer:

3 is being multiplied by the square root of 18 which is being raised to the "x" value

Answer: B. 2∛3

Step-by-step explanation:

[tex]24^\frac{1}{3}[/tex] is equivalent to ∛24. This can actually be simplified. We can use prime factorization to simplify the cubed root.

                                                               24

                                                               /  \

                                                              2  12

                                                                  /  \

                                                                2    6

                                                                      /  \

                                                                    2    3  

From this prime factorization tree, we want to find a group of 3. The same number that appears 3 times.

We see that there are 3 2's. They are bolded above. Since there is a group of 3, we can pull the 2 out of the cubed root, as we are left with a 3 inside (underlined above).

Our final answer is 2∛3.

Answer:

Step-by-step explanation:

I hope it helps

Answer:

40cm

Step-by-step explanation:

A box is normally in the shape of a cube

formula of volume of a cube;

We want to find the height(tallness)

Volume=LengthxWidthxHeight

10000=25x10xHeight

10000=250H. (divide both side by 250 to remain with H only)

10000/250=250H/250

40cm=Height

Answer:

Sabemos que:

[tex]MH(x, y) = \frac{2xy}{x+y}[/tex]

y tenemos que:

[tex]MH (a,4) = \frac{2*a*4}{a+4} = \frac{8*a}{a+4} = 6[/tex]

Con esto podemos encontrar el valor de a:

8*a/(a+ 4) = 6

8*a = 6*(a + 4) = 6*a + 24

8a - 6a = 24

2a = 24

a = 24/2 = 12.

Tambien sabemos que:

[tex]MH(8,b) = \frac{2*8*b}{8+b} =\frac{16*b}{8+b} = 12[/tex]

Y de ahí podemos despejar b:

(16*b)/(b + 8) = 12

16*b = 12*(b + 8) = 12b + 96

16b - 12b = 96

4b = 96

b = 96/4 = 24

Entonces tenemos a = 12 y b = 24, y el MH de a y b es:

MH(12,24) = 2*12*24/(12 + 24) = 24*24/36 = 16

Answer:

the average number of 2 and 3 is 2.5 and 10 is an integer

Step-by-step explanation:

Answer:

2) y= -2/3x +4

Step-by-step explanation:

2x+3y=12 convert to y=mx+b form

move over the 2x to isolate y

3y= -2x+12

divide by 3 in order to completely isolate y

y= -2/3x +4

Answer:

the water level drop per hour is [tex]\frac{1}{26}\,\,\frac{in}{h} \approx 0.03846\,\,\frac{in}{h}[/tex]

Step-by-step explanation:

Notice that in between 11 PM and 8:45 AM on the following day, there is a change in time equal to 9 hours and 45 minutes = 9.75 hours.

If the water level of the pool dropped by 3/8 of an inch, and the rate was constant, then the rate of level drop per hour is:

[tex]\frac{\frac{3}{8} in}{9.75\,h} =\frac{1}{26}\,\,\frac{in}{h} = 0.03846\,\,\frac{in}{h}[/tex]

Answer:

 | -6      0    |

  |  12   21   |

Step-by-step explanation:

When we multiply a matrix by a scalar, each term in the matrix is multiplied by the scalar

3  | -2  0  |

   |  4   7   |

becomes

 | -6  0  |

  |  12   21   |

Answer:

Solution : C

Step-by-step explanation:

This question involves scalar multiplication. Multiply each of the matrix elements by a scalar, in this case 3.

[tex]3\begin{bmatrix}-2&0\\ \:4&-7\end{bmatrix} = \begin{bmatrix}3\left(-2\right)&3\cdot \:0\\ 3\cdot \:4&3\left(-7\right)\end{bmatrix}[/tex]

Simplifying each element, we receive the following matrix,

[tex]\begin{bmatrix}-6&0\\ 12&-21\end{bmatrix}[/tex] - And hence our solution is option c

Answer:

10

Step-by-step explanation:

the square root of 100 is 10

√100=10

Answer:  10 + i

thats answer

Each solution is a pair of numbers (x,y) that make the equation true. Solving a linear equation usually means finding the value of y for a given value of x. If the equation is already in the form y = mx + b, with x and y variables and m and b rational numbers, then the equation can be solved in algebraic terms.

I really hope that this helps you if u have any more questions ask. :>

Answer:

Each solution is a pair of numbers (x,y) that make the equation true. Solving a linear equation usually means finding the value of y for a given value of x. If the equation is already in the form y = mx + b, with x and y variables and m and b rational numbers, then the equation can be solved in algebraic terms.

Step-by-step explanation:

Solving an equation means finding the value or values for which the two expressions on each side of the equals sign are equal. One of the most common methods used to solve equations is the balance method.

Imagine an equation as a set of scales. The scales will stay in balance as long as the same operation (addition, subtraction, multiplication or division) is applied to both sides.

Example: y = 2x + 1 is a linear equation:

line on a graph

The graph of y = 2x+1 is a straight line

When x increases, y increases twice as fast, so we need 2x

When x is 0, y is already 1. So +1 is also needed

And so: y = 2x + 1

Here are some example values:

x y = 2x + 1

-1 y = 2 × (-1) + 1 = -1

0 y = 2 × 0 + 1 = 1

1 y = 2 × 1 + 1 = 3

2 y = 2 × 2 + 1 = 5

Answer:

The answer is 10⁴ × 4⁵.

Step-by-step explanation:

First, you can seperate the fraction :

[tex] \frac{ {10}^{4} \times {4}^{10} }{ {4}^{5} } [/tex]

[tex] = {10}^{4} \times \frac{ {4}^{10} }{ {4}^{5} } [/tex]

Next, you have to apply Indices law :

[tex] {a}^{m} \div {a}^{n} = {a}^{m - n} [/tex]

So for this question :

[tex] {10}^{4} \times \frac{ {4}^{10} }{ {4}^{5} } [/tex]

[tex] = {10}^{4} \times {4}^{10 - 5} [/tex]

[tex] = {10}^{4} \times {4}^{5} [/tex]

x - number of minutes;

f ( x ) - the distance from the finish line.

  x :        0     2      4      6

f ( x ) :    3      2      1     0

f ( x ) = 3 - x/2

Answer: B ) f ( x ) = -1/2 x + 3

= 3x^2 + 5x^2 = 8x^2

5x - 13x = -8x

-8 + -5 = -13

=> 8x^2 - 8x - 13

: B

Answer:

8x2 − 8x − 13

Step-by-step explanation:

 (((3•(x2))+5x)-8)+((5x2-13x)-5)

((3x2 +  5x) -  8) +  (5x2 - 13x - 5)

 Factoring  8x2-8x-13

The first term is,  8x2  its coefficient is  8 .

The middle term is,  -8x  its coefficient is  -8 .

The last term, "the constant", is  -13

Step-1 : Multiply the coefficient of the first term by the constant   8 • -13 = -104

Step-2 : Find two factors of  -104  whose sum equals the coefficient of the middle term, which is   -8 .

     -104    +    1    =    -103

     -52    +    2    =    -50

     -26    +    4    =    -22

     -13    +    8    =    -5

     -8    +    13    =    5

     -4    +    26    =    22

     -2    +    52    =    50

     -1    +    104    =    103

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 8x2 - 8x - 13 ✅