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torisob [31]
3 years ago
8

How do you solve 2x+4=7

Mathematics
1 answer:
marissa [1.9K]3 years ago
8 0
2x+4=7  subtract 4 from both sides

2x=3  divide both sides by 2

x=3/2

x=1.5


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Andrew is hiking in a mountainous area of a state park. Use the given key features to sketch a graph.
Molodets [167]

Using the features, a piece-wise function is defined, and the graph is sketched at the end of this answer.

A piece-wise function is a function that has <u>multiple definitions</u>, depending on the value of the input.

He starts at 0 feet, and reaches a maximum elevation of 800 feet in 30 minutes, with a steady(linear) increase thus, for the first 30 minutes, the definition is:

h(t) = \frac{800}{30}t, 0 \leq t < 30

For the next 5 minutes, he stops to rest, at the maximum elevation of 800 feet, thus, the definition is:

h(t) = 800, 30 \leq t < 35

For the final 20 minutes, he descends 800 meters, at a linear rate, thus:

h(t) = 800 -\frac{800(t-35)}{20} = 800 - 40(t - 35), 35 \leq t \leq 55

Using these definitions, the graph is sketched at the end of this answer.

A similar problem is given at brainly.com/question/13205719

7 0
3 years ago
Derive the equation of the parabola with a focus at (_5, 5) and a directrix of y = -1.
mars1129 [50]

Answer: Option D is correct.

Step-by-step explanation:

Since we have given that

focus = (-5,5)

and a directrix y= -1

Since, equation of parabola in this case will be

(x-h)^2=4.a(y-k)

Now, here

y=k-a=-1\\\\\text { focus =(h,k+a)}\\\\\text{So,} k+a=5\\\\\text{ by solving these two equation , we get }\\\\a=3\text{ and } k=2

So equation will be

(x+5)^2=4\times 3(y-2)\\\\(x+5)^2=12(y-3)\\\\y=\frac{1}{12}(x+5)^2+2

So, option D is correct .

4 0
3 years ago
Read 2 more answers
A car drives 195 miles in 3 hours and 15 minutes. what is the average speed of the car?
g100num [7]
1 mpm or 0.0166666666 repeating mph
5 0
3 years ago
Help pls i need this done tonight i dont have much longer
zvonat [6]
Answer:
Jessica wants 180 plants in her garden.

Step-by-step explanation:
The formula for the area of the triangle is (1/2)*base*height.
So here, Let’s say 8 feet is the base and 15 feet is the height.
the area of the triangle would be (1/2)*8*15. That equals 60 square feet.
If Jessica wants 3 plants each square foot, then 60*3, which is 180 plants.

Note: * means the multiplication sign.
7 0
2 years ago
Read 2 more answers
1. A machine shop has eight screw machines but only three spaces available in the production area for the machine. In how many d
Sophie [7]

Answer:

a= 336 different ways

b= 10 possible combinations

Step-by-step explanation:

As it is a definite machine and it must have ordered combinations therefore it is a permutation question . So finding 3 out of eight

8 P 3= 336  different ways the eight machines be arranged in the three spaces available.

Since the parts are randomly selected and there is no distinct pattern therefore combinations is used to solve this.

5C2 = 10 possible combinations of two parts can be selected.

8 0
3 years ago
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