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astra-53 [7]
3 years ago
9

I don't think anyone will respond to a good attempt​

Mathematics
2 answers:
deff fn [24]3 years ago
7 0

The answer is gonna be 15

Alexandra [31]3 years ago
4 0
I think the answer may be 15 but I’m not positive
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3. The path of an underground stream is given by the function y = 4x² +17x -32. Two
sineoko [7]

Answer:

The coordinate of the wells are

(-4 -\sqrt[]{\frac{53}{2}}, 70+15\sqrt[]{\frac{53}{2}})

(-4 +\sqrt[]{\frac{53}{2}}, 70-15\sqrt[]{\frac{53}{2}})

Step-by-step explanation:

The y coordinate of the stream is given by y = 4x^2+17x-32. Also, the y coordinate of the houses are determined by y=-15x+10. We will assume that the houses are goint to be built on the exact position where we build the wells. We want to build the wells at the exat position in which both functions cross each other, so we have the following equation

4x^2+17x-32 = -15x+10

or equivalently

4x^2+32x-42=0 (by summing 15x and substracting 10 on both sides)

Dividing by 2 on both sides, we get

2x^2+16x-21=0

Recall that given the equation of the form ax^2+bx+c=0 the solutions are

x = \frac{-b \pm \sqrt[]{b^2-4ac}}{2a}

Taking a =2, b = 16 and c = -21, we get the solutions

x_1 = -4 -\sqrt[]{\frac{53}{2}}

x_2 = -4 +\sqrt[]{\frac{53}{2}}

If we replace this values in any of the equations, we get

y_1 = 70+15\sqrt[]{\frac{53}{2}}

y_2 = 70-15\sqrt[]{\frac{53}{2}}

4 0
3 years ago
In the figure QU=ST<br> What is the length of QR?
marysya [2.9K]

Answer:

the answer is 80

Step-by-step explanation:

QR=ST: 7x+3=5x+25

2x=22

x=11

7(11)+3=80      5(11)+25=80

3 0
2 years ago
The graph of a linear function passes through the point (-1, 2) and has a slope of 3. What is the equation of the function in sl
Harman [31]

Answer:

The equation of the function in slope-intercept form is y = 3 x + 5 .

Step-by-step explanation:

Given as :

A line passes through the point ( - 1 , 2 )

i.e ( x , y ) = ( - 1 , 2 )

The slope of the line is 3

The equation of line in slope intercept form

y - \textrm y_1 = m ( x - \textrm x_1 )

Where m is the slope of the line

So, y - 2 = 3 ( x - ( - 1 ) )

Or, y - 2 = 3 ( x + 1 )

Or, y - 2 = 3 x + 3

Or, y = 3 x + 3 + 2

∴   y = 3 x + 5

Hence The equation of the function in slope-intercept form is y = 3 x + 5 . Answer

8 0
3 years ago
Question: An arithmetic sequence is a sequence with a common difference. It can be represented by the recursive formula a1 = a (
Soloha48 [4]

Answer:

a) 3,6,9,12,15,..

b) Common Ratio is 3

c) Recursive Formula : aₙ= aₙ₋₁ + d where a₁=3 and d= 3

Step-by-step explanation:

a) Create your own arithmetic sequence. Write out the first 3 terms.

Consider the sequence: 3,6,9,12,15,..

a₁ = 3

a₂ = 6

a₃ = 9

b) What is the common difference of your sequence?

6-3 = 3

9-6 = 3

12 -9 =3

So, common difference is 3

c) Write the recursive formula representing your sequence.

a₁ = 3

a₂ = aₙ₋₁ + d

   = a₁ + d

   = 3+ 3 = 6

a₃ = aₙ₋₁ + d

    = a₂ + d

   = 6+3 = 9

so, recursive formula is aₙ = aₙ₋₁ + d where a₁ = 3 and d= 3

5 0
3 years ago
A smoothie recipe calls for 3 cups of soy milk, 2 frozen bananas and, 1 tablespoon of chocolate syrup. Write a sentence that use
anyanavicka [17]

Answer:

3:2:1

Step-by-step explanation:

4 0
3 years ago
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