Solve this system of equations:
2x + 10y= 24
X = y-6

Answer:

1.   Vertex is (-12, -101)

2.   Vertex is (4, 25)

Step-by-step explanation:

1)

[tex]y = x^{2} + 24x + 144 + 43 - 144\\ = (x + 12)^{2} - 101[/tex]

Vertex is (-12, -101)

2)

[tex]y = -x^{2} + 8x + 9\\ = -(x^{2} - 8x + 16) +9 + 16\\ = -(x - 4)^{2} + 25[/tex]

Vertex is (4, 25)

Answer:

open circle means less than OR greater to

closed circle means less than or equal to OR greater than or equal to

Answer:

Multiply first and add the negative sign and multiply all of it 2 times

Step-by-step explanation:

Answer:

4x +36

Step-by-step explanation:

= (2x - 6) * (2x - 6)

= 4x -12x -12x +36

= 4x +36

Answer:

1: the wooden part is 3.725 kilograms.

2: 10 Children

Answer:

1 3.725 kg of wood

2 10

Step-by-step explanation:

For question 1 you multiply the total weight by 3/4 to find the weight of the metal, you then subtract this from the total to find the weight of the wood

For question 2 you look at it as a fraction 1/3 kids + 2/3 adults equal 30, since there are twice as many adults. Then you multiply 30 by 1/3 and get 10

Answer:

C

Step-by-step explanation:

Hope this Helps.

The coordinate of the vertex is ( 7 ,4), the correct option is B.

An absolute value function is a function that gives positive value for a number or variable. It has a V shaped graph, it is also called as a modulus function.

The absolute function is y = | -x +7| +-4

The v shaped curve has a vertex and it can be determined by following method.

The value of the x coordinate is determined by equating the modulus to 0, the point at which the modulus is zero.

-x +7 = 0

Adding -7 to both sides.

-x = -7

x = 7

The value of y at this point is the y coordinate of the vertex.

y = 0 +4

y = 4

(x,y) = ( 7,4)

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Answer:

lim_( 3\/(-5 + x) = 0

Step-by-step explanation:

h(x) = 1\/(x - 5)×3

{x element R : x!=5}

{h element R : h!=0}

d\/dx(3\/(x - 5)) = -3\/(x - 5)^2

integral 3\/(x - 5) dx = 3 log(x - 5) +

Answer:

872

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

The answer is 1500

Step-by-step explanation:

I multiplied 60 by 25

Answer:Its 1500

Step-by-step explanation:60 x 25

Answer:

$256.80

Step-by-step explanation

Change the 20% to a decimal, .20, the multiply it by the total amount of $$$, 321, and you get $64.20. Subtract that by the total amount to get the amount left over for her to get new clothes.

Hope it helps!! :))))

Answer:

free points

Step-by-step explanation:

Answer:

etm

Step-by-step explanation:

yc

Answer:

Negative

Step-by-step explanation:

Years of Factoring:

What the problem tells us is that we have:

X^2 - 4x - 3

or something along these lines. If we factor this we get:

(X-4)(X+1)

The bigger inside factor has to be negative for these problems, because the third term is negative.

The sum of the middle term must give a negative value.

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that If the middle term of a quadratic trinomial is negative and the last term is negative then the sum of the middle terms must give a negative value.

What the problem tells us is that we have:

x² - 4x - 3

Something along these lines. If we factor this we get:

(x-4)(x+1)

The bigger inside factor has to be negative for these problems because the third term is negative.

Therefore, the sum of the middle term must give a negative value.

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Answer:

use distance formula

Step-by-step explanation:

Answer: y=5x+4

Step-by-step explanation:

Remember this

Slope-Intercept form: y=mx+b

m is the slope (5)

b is the y-intercept (4)

So your equation is

y=5x+4

Answer:

y = 5x + 4  

Step-by-step explanation:

y - 4 = 5(x - 0)

That is point-slope form. I'm not sure if you want it in slope-intercept form, but the slope-intercept form of the equation is -

y = 5x + 4

Answer:

-209

Step-by-step explanation:

Answer:

7.28

Step-by-step explanation:

1.82*4= 4+3.20+.08= 7.28

Answer:

$7.28

Step-by-step explanation:

7 pencils:$1.82

28 pencils:$x

28/7=4 so multiply 1.82 by 4

$7.28

Answer:

y=-2/3x-3 is the equation in slope intercept form

Step-by-step explanation:

Hope this helps (:

Answer:

I

Step-by-step explanation:

this its 61 ok thanks you

Answer:

Its 62

Step-by-step explanation:

Answer:

Mrs. Sayers utilized 24 sq. ft material to build her fence

Step-by-step explanation:

length x width x height = volume

4 x 2 x 3 = 8 x 3 = 24

Answer:

2x - 9y = 23

5x - 3y = -1

Step-by-step explanation:

Answer:

1a

2c

3c

4a

5d

hope this helps

Step-by-step explanation:

Answer:

1. $120

2. 8 hours

3. $15

4. $30/hr

don't know what #5 is

Answer:

The possible equation is; T(t) = 20 + 80·[tex]e^{(-0.094 \cdot t)}[/tex]

The horizontal asymptotes is Lim(t → ∞), T → 20°C

The vertical asymptote is Lim(t → 0) T → 100°C

Step-by-step explanation:

The given parameters are;

The temperature of the house = 20°C

The initial temperature of the tea = 100°C

The temperature of the tea after 5 minutes = 70°C

From Newton's law of cooling, is given as follows;

[tex]T(t) = T_s + (T_0 - T_s) \cdot e^{k \cdot t}[/tex]

[tex]\dfrac{dT}{dt} = -k(T - T_a)[/tex]

Where;

T(t) = The temperature after time, t =

[tex]T_s[/tex] =The room temperature = 20°C

T₀ = The initial temperature of the tea = 100°C

k = Constant

T(5) = 70°C, therefore, we have;

[tex]70 = 20 + (100 - 20) \cdot e^{k \cdot 5}[/tex]

50/80 = [tex]e^{k \cdot 5}[/tex]

5·k = ㏑(5/8)

k = ㏑(5/8)/5 ≈ -0.094

Therefore, the possible equation is given as follows;

T(t) = 20 + 80·[tex]e^{(-0.094 \cdot t)}[/tex]

The asymptotes are Lim(t → ∞), T → 20°C  and Lim(t → 0) T → 100°C

Answer:

I believe that the answer is D: 7

Answer:

10

Step-by-step explanation:

ll

Answer:

he used 4 1/6 cup of flour for each loaf I think

Step-by-step explanation:

Answer:

7/12

Step-by-step explanation:

3/4 - 4/3 = 7/12 or 0.583