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Andru [333]
3 years ago
11

3x+5y-4=0 what is the slope and y-intercept?

Mathematics
1 answer:
zaharov [31]3 years ago
5 0

Answer:

3x + 5y - 4 = 0 \\ 3x + 5y = 4 \\ 5y = 4 - 3x \\ y =  \frac{4}{5}  -  \frac{3}{5} x \\ y = mx + c \\ slope = m =  \frac{ - 3}{5}  \\ y \: intersept = c =  \frac{4}{5}  \\ thank \: you

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Graph each absolute value function. State the domain, range, and y-intercept.
Paraphin [41]

Answer:

i)D:x\in R

ii)R: y\ge-3

iii) Y-int:(0,-1)

Step-by-step explanation:

i) The given absolute value function is;

f(x)=|x+2|-3.

The absolute value function is defined for all real values of x.

The domain is all real numbers.

ii) The range is all y-values that will make x defined.

The given function,

f(x)=|x+2|-3.

has vertex at, (-2,-3) and opens upwards.

This implies that, the minimum y-value is -3.

The range is y\ge-3

iii) To find the y-intercept substitute x=0 in to the function.

f(0)=|0+2|-3.

f(0)=|2|-3.

f(0)=2-3.

f(0)=-1.

The y-intercept is (0,-1)

See attachment for graph.

6 0
4 years ago
Enter a range of values for x:<br> A<br> 12<br> D<br> 35°<br> 20°<br> B<br> 4X4<br> С<br> 1
MArishka [77]

Answer:

The correct answer to the question is;

1 < x < <u>4</u>

Step-by-step explanation:

The give parameters are;

ΔABC is an isosceles triangle, with the vertex angle = 35° + 20° = 55°

Therefore, the two base angles are 62.5° each by definition of isosceles triangle

Given that the angle subtended by  4·x - 4 which is 25° is lesser than the angle subtended by the 12 unit side length which is 35° we have;

4·x - 4 < 12

4·x < 12 + 4

∴ 4·x < 16

x < 16/4

x < 4

Therefore, the range is 1 < x < 4

7 0
3 years ago
In 30 minutes a shark can swim 4000 feet. About how fast in miles per hour does the shark swim?
GalinKa [24]

Answer:1.515152

Step-by-step explanation:

1000/30 = 133.3 per min

133.3x60

=8000ft to miles

=1.515152 mph

4 0
3 years ago
Read 2 more answers
Y 5x=2<br><br> What are the coordinates
Brums [2.3K]

Answer:move -5x to the right becomes 5x

Y=5X+2

When x =1 5(1)+2= 7 for Y

When X=2 5(2)+2= 12 for Y

When X =-1 5[-1)+2/ -3

Coordinates (1,7).(2,12)(-1,-3)

Step-by-step explanation:

3 0
3 years ago
When factoring 6x2−7x−20 by grouping, how should the middle term be rewritten?
amm1812

Answer:

(3x+4)(2x-5)

Step-by-step explanation:

Factor by grouping.

8 0
3 years ago
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