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DiKsa [7]
2 years ago
7

On a coordinate plane, a solid straight line has a positive slope and goes through (negative 3, negative 5) and (0, negative 4).

Everything to the right of the line is shaded.
Which linear inequality is represented by the graph?

y ≥ One-thirdx – 4
y ≤ One-thirdx – 4
y ≤ One-thirdx + 4
y ≥ One-thirdx + 4
Mathematics
2 answers:
34kurt2 years ago
5 0

Answer

y ≤ 1/3x – 4

Step-by-step explanation:

I just took the test

Evgesh-ka [11]2 years ago
4 0

Answer:

y ≤ One-thirdx – 4

Step-by-step explanation:

The key hint to know this answer is to understand that the line cuts the y-axis at -4. And, we can know that y is less than or equal to (≤) 1/3x-4 for the shaded area to the RIGHT of the line, telling us that y exists for all values from -4 and under.

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Keenan buys an embroidery machine for $1,400. He uses it to embroider T-shirts. His total profit in dollars from selling the T-s
Romashka [77]

Answer:

the graph shift down 135 units

Step-by-step explanation:

when there is no fixing cost:

f(x)=12x-1400

when there is fixing cost (0ne time): 12x-(1400+135)

the graph shift down 135 units

7 0
2 years ago
What is the radical form of the expression?<br><br> (5x3y4)37<br> ↡
hram777 [196]

Option 4: \sqrt[7]{125x^9y^{12}} is the right answer

Step-by-step explanation:

Given expression is:

(\sqrt{5x^3y^4})^{\frac{3}{7}

In order to convert an exponent into radical form, the power should be in the form of 1/x where x is any number

so,

in case of 3/7, it will be broken down

(\sqrt{5x^3y^4})^{3*\frac{1}{7}}

The 1/7 will be converted into base of radical while 3 will be he exponent

\sqrt[7]{(5x^3y^4)^3}

Multiplying exponents

=\sqrt[7]{5^3x^{3*3}y^{4*3}}\\=\sqrt[7]{125x^9y^{12}}

Hence,

Option 4: \sqrt[7]{125x^9y^{12}} is the right answer

Keywords: Radicals, Exponents

Learn more about exponents at:

  • brainly.com/question/4939434
  • brainly.com/question/4980053

#LearnwithBrainly

4 0
2 years ago
Assume ABC DEF. If mA = 70 , mB = 47 , and mC = 63 , what is the measure of F? A. 63 B. 70 C. 47 D. Cannot be determined
kipiarov [429]
I'm assuming that the full statement is ΔABC is congruent to ΔDEF.

Given:
m∠A = 70
m∠B = 47
m∠C = 63

Since both triangles are congruent, the corresponding angles in ΔDEF also has the same measure as those in ΔABC.

m∠D = 70
m∠E = 47
m∠F = 63

The measure of angle F is 63.

5 0
2 years ago
Read 2 more answers
Which transformations have been applied to the graph of f(x) = x2 to produce the graph of g(x) = –5x2 + 100x – 450? Select three
RSB [31]

Answer:

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

Step-by-step explanation:

we have

f(x)=x^{2}

This is a vertical parabola open upward

The vertex is a minimum

The vertex is the origin (0,0)

g(x)=-5x^{2}+100x-450

This is a vertical parabola open downward

The vertex is a maximum

The first thing to note is that fx) is a parabola that opens up and g(x) opens down, so a reflection across the x-axis must have been applied.

Find the vertex of g(x)

Convert to vertex form

g(x)=-5x^{2}+100x-450

Complete the square

g(x)=-5(x^{2}-20x)-450

g(x)=-5(x^{2}-20x+100)-450+500

g(x)=-5(x^{2}-20x+100)+50

g(x)=-5(x-10)^{2}+50

The vertex is the point (10,50)

so

To translate the vertex of (0,0) to (10,50)

The rule of the translation is

(x,y) ------> (x+10,y+50)

That means ----> The translation is 10 units at right and 50 units up

therefore

The transformations are

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

5 0
2 years ago
Read 2 more answers
Yuto and Lian are at train stations 1,880 kilometers apart. Yuto boards a train heading east at an average speed of 220 kilomete
lys-0071 [83]
<span>the correct answer is
D) 1000 kilometers                                                                              </span>
5 0
2 years ago
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