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marysya [2.9K]
3 years ago
12

Painter a charges $376 plus $12 an hour. painter b charges $280 and $15 an hour. in how many hours will they charge the same pri

ce?
Mathematics
1 answer:
Mila [183]3 years ago
8 0
The charge will be the same at hour 12
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Calculate this reflection of the triangle:
Mice21 [21]

Answer:

a = 3, b = 0, c = 0, d = -2

Step-by-step explanation:

<em>To find the reflection Multiply the matrices</em>

∵ The dimension of the first matrix is 2 × 2

∵ The dimension of the second matrix is 2 × 3

<em>1. Multiply the first row of the 1st matrix by each column in the second matrix add the products of each column to get the first row in the 3rd matrix.</em>

2. Multiply the second row of the 1st matrix by each column in the second matrix add the products of each column to get the second row of the 3rd matrix

\left[\begin{array}{ccc}1&0\\0&-1\end{array}\right]  × \left[\begin{array}{ccc}0&3&0\\0&0&2\end{array}\right]  = \left[\begin{array}{ccc}(1*0+0*0)&(1*3+0*0)&(1*0+0*2)\\(0*0+-1*0)&(0*3+-1*0)&(0*0+-1*2)\end{array}\right]=\left[\begin{array}{ccc}0&3&0\\0&0&-2\end{array}\right]

Compare the elements in the answer with the third matrix to find the values of a, b, c, and d

∴ a = 3

∴ b = 0

∴ c = 0

∴ d = -2

7 0
3 years ago
PLEASE ANSWER! Given the functions f(x) = x2 + 6x - 1, g(x) = -x2 + 2, and h(x) = 2x2 - 4x + 3, rank them from least to greatest
Ratling [72]

Answer:

<em>he rank from least to great based on their axis of symmetry: </em>

0, 1, -3 ⇒ g(x), h(x), f(x)

So, <em>option C</em> is correct.

Step-by-step explanation:

A quadratic equation is given by:

ax^2+bx+c =0

Here, a, b and c are termed as coefficients and x being the variable.

<em>Axis of symmetry can be obtained using the formula</em>

x = \frac{-b}{2a}

Identification of a, b and c in f(x), g(x) and h(x) can be obtained as follows:

f(x) = x^2 + 6x - 1

⇒ a = 1, b = 6 and c = -1

g(x) = -x^2 + 2

⇒ a = -1, b = 0 and c = 2

h(x) = 2^2 - 4x + 3

⇒ a = 2, b = -4 and c = 3

So, axis of symmetry in f(x) = x^2 + 6x - 1 will be:

x = \frac{-b}{2a}

x = -6/2(1) = -3

and axis of symmetry in g(x) = -x^2 + 2 will be:

x = \frac{-b}{2a}

x = -(0)/2(-1) = 0

and axis of symmetry in h(x) = 2^2 - 4x + 3 will be:

x = \frac{-b}{2a}

x = -(-4)/2(2) = 1

<em>So, the rank from least to great based on their axis of symmetry: </em>

0, 1, -3 ⇒ g(x), h(x), f(x)

So, <em>option C</em> is correct.

<em>Keywords: axis of symmetry, functions</em>

<em>Learn more about axis of symmetry from brainly.com/question/11800108</em>

<em>#learnwithBrainly</em>

7 0
3 years ago
Help on number 3 please thank you ver much
iVinArrow [24]
I think it would be these two

7 0
3 years ago
The price of a home is $300,000. After a 10% down payment, the mortgage is $270,000. If this is financed with a 30-year fixed-ra
irinina [24]

Answer:

The correct solution is "$1618.79".

Step-by-step explanation:

The given values are:

Home price,

= $300,000

Down payment,

= 10%

Mortgage,

= $270,000

Rate,

r = 6%

Time,

t = 30 years

As we know,

⇒ PV=P[\frac{1-(1+r)^{-n}}{r} ]

On substituting the values, we get

⇒ 270 000= P[\frac{1-(1+\frac{6}{1200} )^{-12\times 30}}{\frac{6}{1200} } ]

⇒          P=1618.79 ($)

7 0
2 years ago
Marcus drew a scale drawing of the rectangular park in his neighborhood. On his drawing, the length of the park is 8 inches and
Gwar [14]

Answer:

19200 ft

Step-by-step explanation:

first you convert it based on 1 in = 20 ft

8*20=160

6*20=120

now you multiply to find area

remember area is a = lw

160*120=19200

add units

19200 ft

6 0
3 years ago
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