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3 years ago

Can someone please Help me?

Mathematics

1 answer:

Mila [183]3 years ago

5 0

9514 1404 393

Answer:

see below

Step-by-step explanation:

It is easiest to compare the equations when they are written in the same form.

The first set can be written in slope-intercept form.

y = 2x +7

y = 2x +7 . . . . add 2x

These equations are identical, so have infinitely many solutions.

The second set can be written in standard form.

y +4x = -5

y +4x = -10

These equations differ only in their constant, so have no solutions.

The third set is already written in slope-intercept form. The equations have different slopes, so have exactly one solution.

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Help me with this please. I’ll give brainliest

elena-14-01-66 [18.8K]

Answer: is there another part to the pictiure?

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Which function describes the vertical shift up 2 units and left 2 units to the original function: f(x) = ex

Marrrta [24]

Answer:

g(x) = e^(x + 2) + 2

Step-by-step explanation:

First, let's describe the shifts.

Vertical shift.

For a function f(x), a vertical shift of N units is written as:

g(x) = f(x) + N

If N is positive, then the shift is upwards.

If N is negative, then the shift is downwards.

Horizontal shift.

For a function f(x), a horizontal shift of N units is written as:

g(x) = f(x - N)

If N is positive, the translation is to the right

If N is negative, the translation is to the left.

Now let's solve the question.

f(x) = e^x

First, we have a vertical shift up of 2 units, then:

g(x) = f(x) + 2

Now we have a shift to the left of 2 units:

g(x) = f(x - (-2)) + 2

g(x) = f(x + 2) + 2

Then:

g(x) = e^(x + 2) + 2

3 0

3 years ago

Divide 10 into two parts in such a way that when a certain one of these parts is divided by the other and the fraction is multip

finlep [7]

Answer:

The fraction is $\frac{x}{10-x}\times x$ where the numeric value of x = 6 and 10-x =4.

Step-by-step explanation:

Given:

A number 10 we have to divide it into two parts and then when one part is divided by other with multiplication of its numerator the number obtained is 9.

Lets the number in numerator be $x$

Then

The number in denominator is $10-x$

According to the question:

⇒ $\frac{x}{10-x}\times x =9$

⇒ $\frac{x^2}{10-x} =9$

⇒ $x^2=9(10-x)$

⇒ $x^2+9x-90=0$

⇒ $x^2+15x-6x-90=0$ solving by middle term splitting.

⇒ $x(x+15)-6(x+15)=0$

⇒ $(x-6)(x+15)=0$

⇒ $x=6,-15$

Discarding the negative values.

⇒ $x=6$

Check:

So the fraction is $\frac{x}{10-x} \times x =9$

then,

⇒ $\frac{6}{10-6} \times 6 =9$

⇒ $\frac{6\times 6}{4} =9$

⇒ $\frac{36}{4}=9$

⇒ $9=9$

Left terms= Right terms

The fraction is $\frac{x}{10-x}\times x$ where the number 'x' = 6 and 10-x = 4.

6 0

3 years ago

Write the point-slope form of the equation with the given characteristics.

Neporo4naja [7]

Answer:

1. y = 2x+3

2. y= -2x-1

3. y=3/5 x +3

4. y = 1/2 x 23/2

Step-by-step explanation:

1. Use slope intercept, y=mx+b where m =2 and b=3. y=2x+3

2. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.

(y-5)=-2(x--3)

y-5=-2(x+3)

y=-2x-6+5

y=-2x-1

3. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form. The slope is 3/5 since parallel lines have the same slope.

(y-3)=3/5(x-0)

y-3=3/5 x

y=3/5 x +3

4. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form. The slope is 1/2 since perpendicular lines have the negative reciprocal slopes. So -2 becomes 1/2.

(y-10)=1/2(x--3)

y-10=1/2 (x+3)

y-10 = 1/2 x + 3/2

y = 1/2 x 23/2

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3 years ago

You run a rental center for landscaping equipment. A customer needs a mower, an edger, a tiller and a leaf vacuum for a weekend

iVinArrow [24]

2 oz/1 gal = x oz/0.25 gal
Soling for x,
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Therefore, the engine needs 0.5 ounces of oil.

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3 years ago