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Maslowich
3 years ago
13

What is the solution to the system of equations below? HELP!!!! y = negative one-fourth x + 2 and 3 y = negative three-fourths x

minus 6 no solution infinitely many solutions (–16, 6) (–16, –2)

Mathematics
2 answers:
Oxana [17]3 years ago
5 0

Answer:

No solution

Step-by-step explanation:

Step 1: Write out equations

y = -1/4x + 2

3y = -3/4x - 6

Step 2: Substitution

3(-1/4x + 2) = -3/4x - 6

Step 3: Distribute

-3/4x + 6 = -3/4x - 6

From here, we can see that we have the same slope but different y-intercept. This means that the 2 lines are parallel and therefore never intersect.

Alternatively, you could graph the equations and see that the 2 lines are parallel and never intersect.

Goryan [66]3 years ago
4 0

Answer:

No solution

Step-by-step explanation:

y = -1/4x + 2

3y = -3/4x - 6

Plug y as -1/4x + 2 in the second equation.

3(-1/4x + 2) = -3/4x - 6

-3/4x + 6 = -3/4x - 6

-3/4x + 3/4x = -6 -6

0 = -12

No solution.

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Step-by-step explanation:

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4 years ago
What is the arc measure of BDC in degrees?<br> (4k + 159)<br> P<br> (2k + 153)
andre [41]
<h2>Explanation:</h2><h2></h2>

The diagram is missing but I'll assume that the arc BDC is:

(4k + 159)^{\circ}

And another arc, let's call it FGH. measures:

(2k + 153)^{\circ}

If those arc are equal, then this equation is true:

(4k + 159)^{\circ}=(2k + 153)^{\circ} \\ \\ (4k + 159)=(2k + 153) \\ \\ \\ Solving \ for \ k: \\ \\ 4k-2k=153-159 \\ \\ 2k=-6 \\ \\ k=-\frac{6}{2} \\ \\ k=-3

Substituting k into the first equation:

\angle BDC=(4(-3)+159)^{\circ} \\ \\ \angle BDC=(-12+159)^{\circ} \\ \\ \boxed{\angle BDC=147^{\circ}}

3 0
3 years ago
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astra-53 [7]

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Step-by-step explanation:

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3 years ago
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NEED HELP EDU!! WILL GIVE BRAINLEIST!<br> which graph of the cube root function f(x)=^3 √x?
Luden [163]

Answer:

C. f(x)=\sqrt[3]{-x} -1

Step-by-step explanation:

Consider graph of the parent function (red curve in attached diagram)

g(x)=\sqrt[3]{x}

First, multiply it by -1 to get function

h(x)=-\sqrt[3]{x}

Then translate the graph of the function h(x) 1 unit down, then you'll get the function

f(x)=-\sqrt[3]{x} -1\\ \\ \text{or}\\ \\f(x)=\sqrt[3]{-x} -1

The graph of the function f(x) is represented by the blue curve in attached diagram

5 0
3 years ago
A rectangular box with an open top has a length of x feet, a width of y feet, and a height of z feet. It costs $4.30 per square
almond37 [142]

Answer:

C=$(4.30xy+5.40(xz+yz))

Step-by-step explanation:

Surface Area of a Cuboid=2(LW+LH+HW)

Since the top is open

Surface Area = LW+2(LH+HW)

If Length = x feet,

Width =y feet

Height = z feet

Surface Area = xy+2(xz+yz)

Area of the base=xy

If it costs $4.30 per square foot to build the base

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If it costs $2.70 per square foot to build the sides

Cost of the sides=Cost Per Square Foot X Area of the sides

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Cost of Constructing the Box = Cost of Constructing the Base + Cost of Constructing the Sides.

Therefore,

C=$(4.30xy+5.40(xz+yz))

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