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Anika [276]
2 years ago
7

When planning space exploration, scientists face many

Mathematics
1 answer:
Inga [223]2 years ago
6 0

Answer:

A

Step-by-step explanation:

Metal is stronger than plastic, but it is also much heavier.

The key idea in this paragraph is to highlight how to transport the required materials while reducing the weight as much as possible so orbital velocity can be achieved while breaking through the resistance of the atmosphere.

This statement is the key one because it gives engineers the problem they need to find the answer to make the space exploration a reality.

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A lawn mower manufacturer incurs a total of $34,816 in overhead costs and $388 per lawn mower in production costs. How many lawn
blsea [12.9K]
Let x represent the amount of lawn mowers that were manufactured

The company has to pay $34,816 before they even make any lawn mowers plus $388 per lawn mower.

((34816+388x)/x)=660
34816+388x=660x
34816=272x
X=128

Therefore, there were 128 lawn mowers manufactured
5 0
3 years ago
X2 + 5x - 14 Select one of the factors of the quadratic expression.
vfiekz [6]
The equation factored would be (x+7)(x-2). As 7-2=5 and (7)(2)=14.
3 0
3 years ago
Examine the following system of inequalities.
lubasha [3.4K]

Answer:

Dotted linear inequality shaded above passes through (0, 4) and (4, 0). Solid exponential inequality shaded below passes through (negative 2,2) & (0,5)

Step-by-step explanation:

we have

y > -x+4 ----> inequality A

The solution of the inequality A is the shaded area above the dotted line y=-x+4

The dotted line passes through the points (0,4) and (4,0) (y and x-intercepts)

and

y \leq -(1/2)^{x} +6 -----> inequality B

The solution of the inequality B is the shaded area above the solid line y=-(1/2)^{x} +6

The solid line passes through the points (0,5) and (-2,2)

therefore

The solution of the system of inequalities is the shaded area between the dotted line and the solid line

see the attached figure

Dotted linear inequality shaded above passes through (0, 4) and (4, 0). Solid exponential inequality shaded below passes through (negative 2,2) & (0,5)

7 0
3 years ago
wanting some extra help with factoring while knowing what method it would be like gcf or grouping etc
Ksju [112]

d) You have a <u>difference of squares</u>:

49y² - 9 = (7y)² - 3²

Recall the identity,

a² - b² = (a - b) (a + b)

So,

49y² - 9 = (7y - 3) (7y + 3)

e) Pull out the common factor 3 from each term:

3x² - 3x - 90 = 3 (x² - x - 30)

Now use the <u>sum-product method</u>. Notice that we can write 30 = 5 • 6, and 5 - 6 = 1, so

3x² - 3x - 90 = 3 (x + 5) (x - 6)

f) Same as in (e), use the <u>sum-product method</u>. Notice that 42 = 7 • 6, and -7 - 6 = -13, so

x² - 13x + 42 = (x - 7) (x - 6)

8 0
2 years ago
Read 2 more answers
29 is 6more than k ( write answer and equation)
almond37 [142]
K is 23.
As for the equation, it is
29=k+6
To solve, subtract 6 from both sides.
6 0
3 years ago
Read 2 more answers
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