Solve the inequality 4 x - 7 < 5

Answer:

vertical asymptotes at

x

=

±

1

horizontal asymptote at

y

=

0

Step-by-step explanation:

The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the values that x cannot be and if the numerator is non-zero for these values then they are vertical asymptotes.

solve:

x

2

−

1

=

0

⇒

x

2

=

1

⇒

x

=

±

1

⇒

x

=

−

1

and

x

=

1

are the asymptotes

Horizontal asymptotes occur as

lim

x

→

±

∞

,

f

(

x

)

→

c

(a constant)

divide terms on numerator/denominator by the highest power of x, that is

x

2

f

(

x

)

=

4

x

x

2

x

2

x

2

−

1

x

2

=

4

x

1

−

1

x

2

as

x

→

±

∞

,

f

(

x

)

→

0

1

−

0

⇒

y

=

0

is the asymptote

Oblique asymptotes occur when the degree of the numerator > degree of the denominator. This is not the case here (numerator-degree 1 , denominator-degree 2) Hence there are no oblique asymptotes.

graph{(4x)/(x^2-1) [-10, 10, -5, 5]}

Answer:

→ 6x = 48

→ x = 48/6

→ x = 8

HOPE THIS HELPS YOU

Follw me = 10 thanks

Mark as brainliest = 10 thanks

1 thanks to me = 2 thanks

Answer:

hope this helps.............

Answer: 1/3

Step-by-step explanation:

From the question, we are informed that Pranav ate pizza for dinner on Monday night and had 2/3 of the pizza left over. We are further told that on Tuesday night, he ate 1/2 of what was left.

The amount of pizza that Pranav ate on Tuesday will be:

= 1/2 × 2/3

= 1/3

She ate 1/3 on Tuesday

Answer: x=12

Step-by-step explanation: 10(x−3)=90

(10)(x)+(10)(−3)=90 (Distribute)

10x+−30=90

10x−30=90

Step 2: Add 30 to both sides.

10x−30+30=90+30

10x=120

Step 3: Divide both sides by 10.

x=12

Answer:

251.33in²

Step-by-step explanation:

A cylindrical container contains some sand. If the diameter of the container is 10 inches and its height is 3 inches, about how much sand fits inside the container?

We solve the above question using the formula for Total surface area of a cylinder.

TSA = 2πr (h + r) Square units.

Where

h = Height of the cylinder

r = Radius of the cylinder

Diameter of the container is 10 inches

Hence, radius = Diameter/2 = 10/2 = 5 inches

Height is 3 inches.

Hence, Total surface area =

2 × π × 5 (5 + 3)

= 10π × (8)

= 251.32741229 in²

Approximately = 251.33 in²

Therefore, the amount of sand that can fit into the cylinder = 251.33 in²

Answer:

No, it does not.

Step-by-step explanation:

As if we attempted to solve for x, 5x & 5x will both cross each other out. There are no values of x that make the equation true.

Answer: x=73 y=73 z=107

Step-by-step explanation:

The angel of x is 73° because opposite angles are always the same.

The angle of y is also 73° because it is on a parallel line so angles on a parallel line would be the same.

Then the angle of z is 107° because the other side of z would be 73° so you need to deduct this from 180° (because a straight line always adds up to 180°).

Answer: there parallel

Answer:

Step-by-step explanation:

you can see the attached file is scanned image in PDF format is unavailable right now because this video is not available for remote playback is unavailable right now because this was not a lot to get to know what to get a good day I would

Answer:

$589.33

Step-by-step explanation:

Answer:

your answer will be x=−16

Step-by-step explanation:

Simplify −2(−5x−10)+30

10x+50=−110

10x=−160

Divide each term by 10

and simplify.

x=−16

I hope this helps ^_^

Answer:

I believe it is 2s

Step-by-step explanation:

a variable is a symbol which functions as a placeholder, so in this case, the placeholder is "s"

Answer:

9

Step-by-step explanation:

9-7= 2

2<3

Answer: B

x < 10

Step-by-step explanation:

X - 7 < 3

X < 3 + 7

X < 10

Answer:

3 1/4

Step-by-step explanation:

Answer:

f(-2)=7

Step-by-step explanation:

f(-2)=2^-2+3

f(-2)=4+3

f(-2)=7

Answer:

First, your only giving 45

Step-by-step explanation:

Second,

Part 1:

P(yellow)  [tex]\frac{5}{25}[/tex]  as a decimal is 0.2

Part 2:

What best describes the​ probability?

A: Unlikely

Answer:

5

Step-by-step explanation:

the area of a parallelogram is represented in this formula:

[tex]A=bh[/tex]

we can rearrange this to solve for [tex]b[/tex]

[tex]\frac{A}{h} =b[/tex]

[tex]\frac{20}{4} =5[/tex]

Therefore [tex]b=5[/tex]

Answer:

Step-by-step explanation:

5x-1 is twice the bisector angle 4x-17 so

5x-1=2(4x-17)

5x-1=8x-34

-3x=-33

x=11, abc=5x-1

5(11)-1=54

Answer:

9.2-(1.8+3.6)=s

s=3.8

Step-by-step explanation:

9.2-5.4=s

3.8=s

s=3.8

Hope this helps! :)

Answer:

Options (C), (D) and (E)

Step-by-step explanation:

Slope of the given line = [tex]\frac{1}{3}[/tex]

Any line having same slope will be parallel to the given line otherwise the lines will intersect.

Therefore, we will find the slope of the lines passing through two points given in the options.

Option A

Slope of the line passing through (12, -13) and (15, -12)

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

   = [tex]\frac{-13+12}{12-15}[/tex]

   = [tex]\frac{1}{3}[/tex]

Therefore, both the lines are parallel having no point of intersection.

Option B

Slope = [tex]\frac{-9+7}{18-24}[/tex]

          = [tex]\frac{1}{3}[/tex]

Both the lines are parallel having no point of intersection.

Option C

Slope = [tex]\frac{-20+21}{15-18}[/tex]

          = [tex]-\frac{1}{3}[/tex]

Therefore, both the lines will intersect.

Option D

Slope = [tex]\frac{-15+14}{30-36}[/tex]

          = [tex]\frac{1}{6}[/tex]

Both the lines will intersect each other.

Option E

Slope = [tex]\frac{-11+10}{24-30}[/tex]

          = [tex]\frac{1}{6}[/tex]

Both the lines will intersect each other at a point.

Options (C), (D) and (E) are the correct options.

Answer:

The answer is AAS.

Step-by-step explanation:

Since you have 2 angles that are the same and 1 side which are the same or congruent.

A = E

and C=C they are vertical angles so they are the same

And the AB and ED  side are also same.

Answer:

1

Step-by-step explanation:

didn't undrestood the question

Answer:

if x + 0 = 5, the value of x is 5.

Step-by-step explanation:

we discard 0 since it is of no value in the equation. thus, x = 5. i'm not sure if the one next to the plus sign is 0, since there's nothing there, but we'll assume it's 0. however, if it turns out to be another number, just transpose the other number next to 5 (it would be negative), and subtract. that will be your x.

Answer:

B. [tex]\frac{67}{10} x + 9[/tex]

Step-by-step explanation:

Simplify the expression. Remember to go by the order of operations, or PEMDAS.

1) First, distribute the numbers outside of the set of parentheses to the terms inside the set of parentheses next to them. Then, simplify the fractions.

[tex]3(\frac{7}{5} x + 4) -2 (\frac{3}{2} -\frac{5}{4} x)[/tex]

[tex]\frac{21}{5}x + 12 - \frac{6}{2} + \frac{10}{4} x[/tex]

[tex]\frac{21}{5} x + 12 - 3 + \frac{10}{4} x[/tex]

2) Finally, combine like terms. (This means to add or subtract constants and to add or subtract terms with the same variables.) You may need to convert terms to the same denominator in order to do so easier. Then, reduce the fraction.

[tex]\frac{21}{5} x + 9 + \frac{10}{4}x \\\frac{84}{20}x + \frac{50}{20}x + 9 \\\frac{134}{20}x + 9 \\\frac{67}{10}x + 9[/tex]

Thus, the answer is [tex]\frac{67}{10} x + 9[/tex].

Answer:

B. 67/10x + 9

Step-by-step explanation:

Answer:

y=2x+10

Step-by-step explanation:

In line equations its helpful to write your line in the form y = ax + b. This helps because a is always the gadient of the line and b is always the y intercept.

In this case it is y=2x+3

All parallel lines have the same gradient. The gradient of this line = 2.

If the line crosses the x axis at x=-5, then when x =-5 y = 0.

If you put all this in the form y =ax + b you get 0 = 2(-5) +b

So all you need to do to find b is rearrange. b = 10.

Therefore your line has gradient 2 and y intercept 10.

y = 2x + 10

Answer:

3x+54°=180°[ by linear pair angle]

3x=180°-54

3x=126

x=126/3

x=42

jlm=3x

jLm=3×42=126°