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Aneli [31]
3 years ago
13

suppose that y=5x+1 and it is required that y be within 0.005 units of 7. for what values of x will this be true

Mathematics
1 answer:
dlinn [17]3 years ago
7 0

Answer:

  1.199 ≤ x ≤ 1.201

Step-by-step explanation:

You want ...

  |y -7| ≤ 0.005

Substituting the expression for y, you have ...

  |5x+1 -7| ≤ 0.005

  |x -1.2| ≤ 0.001 . . . . . simplify, divide by 5

  -0.0001 ≤ x -1.2 ≤ 0.001 . . . . . "unfold" the absolute value

  1.199 ≤ x ≤ 1.201 . . . . . . . . . . . .add 1.2

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What is the mistake NEED ANSWER ASAP​
julsineya [31]

Answer:

The answers are in the image.

Step-by-step explanation:

Charlie made the mistake by not getting the equation equal to zero.

x^2 - 9x + 8 = 16

Subtract 16 to both sides making it equal to 0.

x^2 - 9x - 8 = 0

Using Quadratic Formula to Solve for x.

4 0
2 years ago
Nick needs to raise at least $320 for his trip. He has $80 saved already, and he makes $40 per yard that he mows. Write and solv
Anestetic [448]

Answer: Nick must now at least 6 yards.

Step-by-step explanation:

Since Nick has $80 saved already, and he makes $40 per yard that he mows, thus can be put up in an equation as:

= 80 + 40y

where y = number of yards

Since Nick needs to raise at least $320 for his trip, the equation to solve this will be:

80 + 40x ≥ 320

40x ≥ 320 - 80

40x ≥ 240

x ≥ 240/40

x ≥ 6

Therefore, Nick must now at least 6 yards.

4 0
3 years ago
Please help: A box contains 5 yellow balls, 3 blue, and 1 red ball. Two balls are drawn at random. Find the probability that:
Y_Kistochka [10]

Answer:

a) 0.2778

b) 0.3611

c) 0.1389

d) 0.0833

Step-by-step explanation:

We have a total of 5 + 3 + 1 = 9 balls

a) First ball being yellow: we have 5 yellow balls, so P1 = 5/9

Second ball being yellow after one yellow was drawn: we have 4 yellows and 8 balls, so P2 = 4/8 = 1/2

Both yellows: P = P1 * P2 = 5/18 = 0.2778

b) Both blues:

P1 = 3/9 = 1/3

P2 = 2/8 = 1/4

P = P1 * P2 = 1/12 = 0.0833

Both yellows or both blues: 5/18 + 1/12 = 0.2778 + 0.0833 = 0.3611

c) First yellow: P1 = 5/9

Second red: P2 = 1/8

Pa = P1 * P2 = 5/72

or

First red: P3 = 1/9

Second yellow: P4 = 5/8

Pb = P3 * P4 = 5/72

P = Pa + Pb = 10/72 = 5/36 = 0.1389

d) First blue: P1 = 3/9 = 1/3

Second red: P2 = 1/8

Pa = P1 * P2 = 1/24

or

First red: P3 = 1/9

Second blue: P4 = 3/8

Pb = P3 * P4 = 1/24

P = Pa + Pb = 2/24 = 1/12 = 0.0833

8 0
3 years ago
Find an equation for the line below.<br><br> The points are 5,-2 and -5,-6
horsena [70]

Answer:

y=1/2x-4.5

Step-by-step explanation:

y=mx+b

4 0
3 years ago
Can someone help me with my math ?
shepuryov [24]
Easy! Just substitute.

That will be 3 + 8 * 4

Remember PEMDAS? Multiplication comes before addition, so FIRT MULTIPLY.

3+ 32= 35
Final answer= 35
3 0
3 years ago
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