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2 years ago

Solve each inequality below using the Addition principle. Draw a graph of each solution set.

Mathematics

1 answer:

9966 [12]2 years ago

6 0

Answer:

x > 7

Step-by-step explanation:

Given

x - 7 greater than 0

Required

Solve as inequality and represent as a graph

greater than is represented with >

So, the equation is:

x - 7 > 0

Add 7 to both sides

x - 7 + 7 > 0 + 7

x > 0 + 7

x > 7

Next, the inequality is represented on a graph.

See attachment for graph

The shaded part of the graph represents the solution to the graph.

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Area of a triangle (picture provided)

nignag [31]

Answer:

Step-by-step explanation:

The area of triangles is 1/2 x b x h.

Plug them in!

1/2 x 24 x 35

Simplify.

12 x 35

420 square inches

6 0

2 years ago

Which of the binomials below is a factor of this trinomial?<br> 4x2 + 21x + 5

guapka [62]

Answer:

B. 4x + 1

Step-by-step explanation:

4x^2 + 21x + 5

= (4x + 1)(x + 5)

Factors of this trinomial are (4x + 1) and (x + 5)

Answer

(4x + 1)

8 0

2 years ago

An online music store offers 5 downloads for $6.25. Another online music store offers 12 downloads for $17.40. Which store offer

babymother [125]

6.25
explanation: if you divide 6.25 by 5 you get 1.25, if you divide 17.40 by 12 it’s 1.45. Therefore you pay more.

6 0

2 years ago

A mixture of compounds X and Y in a 0.100-cm cell had an absorbance of 0.215 at 272 nm and 0.191 at 327 nm. Find [X] and [Y] in

Oksi-84 [34.3K]

Answer: The concentration of X is $7.13582\times 10^{-6}$ and the concentration of Y is $2.53159\times 10^{-5}$ .

Step-by-step explanation:

Since we have given that

At 272 nm, absorbance = 0.215

At 327 nm, absorbance = 0.191

As we have given that

Compound X Compound Y

272 16400 3870

327 3990 6420

So, our equations becomes

$16400C_1+3870c_2=0.215\\\\3990C_1+6420C_2=0.191$

By solving these two equations, we get that

$C_1=7.13582\times 10^{-6}\\\\C_2=2.53159\times 10^{-5}$

Hence, the concentration of X is $7.13582\times 10^{-6}$ and the concentration of Y is $2.53159\times 10^{-5}$ .

5 0

3 years ago

Andre hit a golf ball from the ground and its movement follows the equation hbracket(t)=-16sup(t,2)+44t, where t is the time in

Natasha2012 [34]

Answer: the golf ball with hit the ground again after 2.75 seconds

Step-by-step explanation:

The movement of the golf ball from the ground follows the equation h(t)=-16t^2+44t,

where t is the time in seconds, and h(t) is the height of the ball at a given time t

By the time the golf ball hit the ground, the height from the ground would be zero. This means that we would equate the quadratic equation to zero. It becomes

-16t^2+44t = 0

Dividing both sides by t

16t^2/t = 44t/t

16t = 44

t = 44/16

t = 2.75

4 0

2 years ago