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nata0808 [166]
3 years ago
7

16. Solve the system of equations by graphing. y = x + 8 y = - x- 6

Mathematics
1 answer:
Doss [256]3 years ago
5 0

Answer:

Step-by-step explanation:

x + 8 = -x - 6

2x + 8 = -6

2x = -14

x = -7

y = -7 + 8

y = 1

(-7, 1)

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Kiana is saving for a new computer that cost $499. So far, she has earned 68 percent of the cost of the computer. How much more
marysya [2.9K]

Answer:

159.68

Step-by-step explanation:

68% of 499 is 339.32

499 -339.32=159.68

hope this helps

6 0
3 years ago
The researcher trains a sample of 16 individuals in mindfulness and then collects data on how long they spend eating per day. Th
Mila [183]

Answer:

The calculated t-value is t=0.47.

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>"Americans typically eat quickly and do not spend time enjoying their meal. A researcher plans to test if those trained in mindfulness will take more time to enjoy their meal (that is, they will spend more time eating than the general population). The general population spends an average of 68 minutes per day combined eating their three meals. The researcher trains a sample of 16 individuals in mindfulness and then collects data on how long they spend eating per day. The sample mean for those trained in mindfulness equals 74; the SS = 150. What is the calculated t-value? Round your answer to two decimal places."</em>

The degrees of freedom are (n-1)=(16-1)=15

The standard deviation is:

s=\sqrt{\frac{SS}{n-1}}=\sqrt{\frac{150}{16-1}}=\sqrt{10}=3.16

The t-value can be calculated as:

t=\frac{M-\mu}{\sigma/\sqrt{n}} =\frac{74-68}{3.16/\sqrt{16}} \\\\t=\frac{6}{3.16*4}=\frac{6}{12.64}= 0.47

4 0
2 years ago
Find the x- and y-intercepts for the linear equation.<br> – 3x + 5y = 15
Paladinen [302]

Answer:

x-intercept: (-5,0)

y-intercept: (0,3)

Step-by-step explanation:

y-intercept: when x = 0

-3(0) + 5y = 15

5y = 15

y = 3

x-intercept: when y = 0

-3x + 5(0) = 15

-3x = 15

x = -5

6 0
2 years ago
Read 2 more answers
If f(x) = 3x - 1 and g(x) = x + 2, find (f+g)(x).
yawa3891 [41]
F+g(x) = f(x) + g(x) = 3x-1 + x+2 = 4x+1
5 0
3 years ago
nicole is flying two kites. she has 104 feet of string out to one kite and 110 feet out to the other kite. the angle formed by t
Gnesinka [82]

Answer:

48.49 feet

Step-by-step explanation:

The diagrammatic sketch of the information provided in the question was attached in the image below.

From the image below, the distance between the two kites is denoted by (c) and can be determined by using the cosine angle rule which is expressed as:

c^2 = a^2 + b^2 -2ab cos \ C

where;

a = 110

b = 104

Cos C = 26°

Then;

c^2 = 110^2 + 104^2 -2(110)(104) cos \ 26 \\ \\  c^2 = 12100 + 10816- 22880 ( 0.8988) \\ \\  c^2 = 22916- 20564.544 \\ \\  c^2 = 2351.456 \\ \\  c= \sqrt{2351.456} \\ \\ \mathbf{ c = 48.49 \ feet}

4 0
3 years ago
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