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3 years ago

In the xy-plane, the line x + y=k, where k is a constant, is tangent to the graph of y=x^2+3x+1. What is the value of k?

1 answer:

4 0

Slope of tangent line = dy/dx = 2x+3
k is y_intercept of tangent line

2x+3 = -1
x = -2
y = (-2)^2+3(-2)+1 = -1

tangent line passes through point (-2,-1)

k = x+y

k = -2 -1

k = -3

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I need help with this math problem if u out a link I’ll report u but if u giv a good answer I’ll mark as brainliest

Sliva [168]

Answer:

1. MAD for Jada's data set = 1

Step-by-step explanation:

Mean Absolute Deviation = sum of the distances of each data value from the mean ÷ number of data value

Jada's data set is given as: 4, 4, 4, 6, 6 ,6

Mean = 5

✔️Find the distance between each data value form the mean

4 = |4 - 5| = 1

6 = |6 - 5| = 1

✔️Find the sum of the distances of each data value from the mean

1 + 1 + 1 + 1 + 1 + 1 = 6

✔️Find the MAD:

MAD = 6/6

MAD = 1

8 0

3 years ago

Azmyne decided to spend 6 1/2 hours studying over the weekend. She spent 1 1/4 hours studying on Friday evening and 2 2/3 hours

nata0808 [166]

Answer: $2\ \dfrac{7}{12}\ \text{hours}$

Step-by-step explanation:

Given

Azmyne decided to study a total of $6\ \frac{1}{2}\ hours$

She spent $1\ \frac{1}{4}\ hours$ on Friday and $2\ \frac{2}{3}\ hours$ on Saturday

Hours spent on Friday

$\Rightarrow 1\ \frac{1}{4}=\frac{5}{4}\ hours$

Hours spent on Saturday

$\Rightarrow 2\ \frac{2}{3}=\frac{8}{3}\ hours$

She must study for

$\Rightarrow \dfrac{13}{2}-\dfrac{5}{4}-\dfrac{8}{3}\\\\\Rightarrow \dfrac{13\times6-5\times3-8\times4}{12}=\dfrac{78-15-32}{12}\\\\\Rightarrow \dfrac{31}{12}=2\ \frac{7}{12}\ \text{hours}$

4 0

3 years ago

A TV program is edited for broad casting and 17% of the original program is cut.

Llana [10]

If original program is x hours long we have the equation-
x - 0.17x = 1.5
0.83x = 1.5
x = 1.5 / 0.83 = 1.81 hours long ( about 1 hour 49 minutes) Answer

3 0

3 years ago

Write 3 60/79 as an improper fraction.

Darya [45]

<h3>Steps</h3>

3 60/79

•Finding the top part of the fraction

#Firstt times 79 with 3

79× 3 = 237

#Then, u plus it with 60

237 + 60 = 297

•Bottom part

#The bottom part of the fraction stay the same so,

297/79

<h3>Answer : 297/79</h3>

#Hope my answer is correct cuz i dont use calc to do this

3 0

2 years ago

PLZ HELP I DONT UNDERSTAND

larisa [96]

Answer: 90%

Step-by-step explanation:

Step 1: You would get the greater value (50) and the lower value (26). You would subtract those numbers.

Step 2: You would get 24 when you subtract those numbers. Divide that number by 26.

Step 3: This is optional. You can simply those numbers to make it easier to divide.

Step 4: Divide

Step 5: You would get 0.9230769

Step 6: Move the decimal point 2 times to the right. So you would get 92%

7 0

3 years ago