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sveticcg [70]
3 years ago
8

Solve for x. And graph 7(3x+4)+2<156

Mathematics
1 answer:
blsea [12.9K]3 years ago
8 0

7(3 \times x + 4) + 2 < 156 \\ 21 \times x + 28 + 2 < 156 \\ 21 \times x + 30 < 156 \\ 21 \times x < 156 - 30 \\ 21 \times x < 126 \\ x  <   \frac{126}{21}  \\ x < 6

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A landscaper buys a tree that grows at a rate of 18 inches every 3 months.
ipn [44]

1 it grows 18 inches every 3 months

 there are 12 months in 1 year

12 dived by 3 = 4 so there are 4 times it will grow 18 inches

18 * 4 = 72 inches, amount it grows in 1 year

 Answer is D


2. it grows 9 inches every 2 months

 12/2 = 6 times a year it will grow

 9 *6 = 54 inches total for 1 year

 Answer is C

8 0
3 years ago
Which point is not on the graph represented by y=x^2+2x-4
Illusion [34]
(-6,20) \\&#10;x=-6 \\ y=20 \\ \Downarrow \\&#10;20 \stackrel{?}{=} (-6)^2+2 \times (-6)-4 \\&#10;20 \stackrel{?}{=} 36-12-4 \\&#10;20 \stackrel{?}{=} 20 \\&#10;20 = 20 \\&#10;\hbox{the point is on the graph}

(-4,4) \\&#10;x=-4 \\ y=4 \\ \Downarrow \\&#10;4 \stackrel{?}{=} (-4)^2+2 \times (-4)-4 \\&#10;4 \stackrel{?}{=} 16-8-4 \\&#10;4 \stackrel{?}{=} 4 \\&#10;4 = 4 \\&#10;\hbox{the point is on the graph}

Both points are on the graph.
3 0
4 years ago
I need help right now!!!ASAP
katovenus [111]

Answer:

Points Q, J and M are not collinear

Step-by-step explanation:

Three points cannot be collinear if they are not coplanar (on the same plane), and M is on a different plane than Q. J is located on both planes.

7 0
2 years ago
Each person in a group of college students was identified by graduating year and asked when he or she preferred taking classes:
swat32

Answer:

<em>0.615</em>

Step-by-step explanation:

The frequency table is attached below.

We have to calculate, the probability that the student preferred morning classes given he or she is a junior.

i.e P(\text{Morning }|\text{ Junior})

We know that,

P(A\ |\ B)=\dfrac{P(A\ \cap\ B)}{P(B)}

So,

P(\text{Morning }|\text{ Junior})=\dfrac{P(\text{Morning }\cap \text{ Junior})}{P(\text{Junior})}

Putting the values from the table,

\dfrac{P(\text{Morning }\cap \text{ Junior})}{P(\text{Junior})}=\dfrac{\frac{16}{143}}{\frac{26}{143}}=\dfrac{16}{26}=0.615

3 0
3 years ago
A fishing guide charges a $150 fee per fishing trip plus $60 per person in a group. The guide charged a group $630 for a fishing
harina [27]

Answer:

8 people

Step-by-step explanation:

$630-$150= 480

480 divided by 60 dollars= 8 people

8 0
3 years ago
Read 2 more answers
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