The line y=15x Intersex the quadratic function y=15x^2 at two points. what are the coordinates of the two points of intersection?

Answer: f(n) = 4n + 97 (or 97 + 4n)

Step-by-step explanation:

Distribute 4 and (n-1)

f(n) = 93 + 4n - 4

Add 93 and 4

f(n) = 97 + 4n

Answer:

The answer is 93 & 4

Step-by-step explanation:

I got it right on khan. Btw I don't know if someone said this already bc I am sooo tired bc it's 1 am :(

Answer:  C

Step-by-step explanation: Since the angle measures of a heptagon measure up to 900, add all known angle measures. they equal to 755. 900 - 755 is 145.

Answer:

maximum point: (0, 4)

x-intercepts: (2, 0), (-2, 0)

y-intercepts: (0, 4)

Replace x with a number and solve for y. Plot the points out on a graph.

See the attached picture.

Rotate the image.

Answer:

-18p^5 - 30p^4 + 6p^3

Answer:

7 units to the right and 2 units up

Step-by-step explanation:

the correct answer is B

The answer is definitely B

Answer:

The second choice. m < 4 = 85 degrees.

Step-by-step explanation:

m < 4 = 180 - m < 1

= 180 - 95

= 85 degrees.

The measure of angle 4 is 85 degrees.

An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints.

The point of their joint is called vertex of that angle.

Those two line segments forming it are called arms of that angle.

The angle is the degree of rotation that it will take for the moving side to go from initial side to the position it is currently on.

We are given that measure of Angle 1 is 95 degrees.

Therefore, we can see that  angle 4 and Angle 1 makes linear pair so.

Angle 4 = 180 - Angle 1

= 180 - 95

= 85 degrees.

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Answer:

Lindsey got 70% on this assignment.

Step-by-step explanation:

21 divided by 30 equals 0.7 which is 70% in percent form.

Answer:

She earned a seventy percent.

Step-by-step explanation:

You set the problem up like  21/30 = x/100.

Then, you cross multiply and you get 30x=2100.

From there, you divide each side by thirty and then you get x = 70.

And that brings you to 70 percent. Hope this helps!

Answer: Ratio's 3:5

Step-by-step explanation:

Ratio of last year 6:8 Now this year since she wants to only plant 3 rows of tomatoes there would be five rows of tomatoes cuz ur taking away three rows form each typa veggie so the new ratio is now 3:5

((Hope it Helps))

Answer:

It's the last answer choice

Step-by-step explanation:

2x+3> -9

2x+3-3> -9-3

2x> -12

2x/2> -12/2

x> -6

Answer:

d

Step-by-step explanation:

Answer:

8.7 plus b equals 54.6

Step-by-step explanation:

4(8.7) + b = 54.6.

b = 19.8 cm.

The sum of the sides = the perimeter = 3a + a + b = 54.6.  

Now a = 8.7, so:

3(8.7) + 8.7 + b = 54.6

4(8.7) + b = 54.6.

b = 54.6 - 4(8.7)

b = 19.8.

Answer: D.) 34.8 + b = 54.6

Step-by-step explanation: i hope this helps :)

Answer:

vertex is (2,-5)

Step-by-step explanation:

y = a(x – h)^2 + k

the  vertex is (h,k) in the equation h =2 and k = -5

Answer: [tex]g(5) *h(5) = (5-7)(5^2)= (25)(-2) = -50[/tex] Im assuming that g(x) is x^2, since you were incapable of writing the exponent sign

Step-by-step explanation:

[tex](g*h)(x)=g(x)*h(x)[/tex]

So this means the functions should be multipled and both evaluated at x = 5

The value of the composition of functions ( g o f ) ( 5 ) = 4

Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

Given data ,

Let the first function be represented as h ( x )

Now , the value of h ( x ) is

h ( x ) = x - 7

Let the second function be represented as g ( x )

Now , the value of g ( x ) is

g ( x ) = x²

Now , the composition of function ( g o f ) ( 5 ) is given by

The value of f ( 5 ) = 5 - 7 = -2

Now , the value of g ( -2 ) is

g ( -2 ) = ( -2 )²

g ( -2 ) = 4

Hence , the composition of function is solved and the value is given by A = ( g o f ) ( 5 ) = 4

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Answer:

I don't know if it's too advanced for you but you could use the arctangent function.

[tex]tan (x)=\frac{15}{8}\\ x=tan^{-1}(\frac{15}{8} )\\x= 61.9275[/tex]

Answer:

b)  -185/18

Slope of the line   [tex]m = \frac{-185}{18}[/tex]

Step-by-step explanation:

Explanation:-

Given two co-ordinates are

[tex](\frac{10}{17} , \frac{2}{17} ),(\frac{9}{17} , \frac{13}{18} )[/tex]

Slope of the line

                 [tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

                [tex]m = \frac{13/18 - 2/17 }{9/17 - 10/17 }[/tex]

                [tex]m = \frac{\frac{221-36}{18 X 17} }{\frac{-1}{17} }[/tex]

On simplification, we get

              [tex]m = \frac{-185}{18}[/tex]

Answer:

B) -0.98

Step-by-step explanation:

Correlation coefficient is usually denoted with numbers ranging from 1 to -1. Automatically, this eliminates option C) as our possible answer, since -1.43 is outside the range.

The trend shown in the scatter plot describes a negative relationship because, as the values in the Y-axis decreases, the values at the X-axis increases. The possible correlation coefficient we are likely to get is one that is negative. This eliminates option A and option and option D is our possible correlation coefficient for the scatter plot given since both values are positive.

Option B) -0.98, best represents the correlation coefficient of the given scatter plot. Since the points on the scatter plot seem closely aligned on a straight line, a negative value if -0.98 is mostly the possible one to get.

Answer:

-0.98

Step-by-step explanation:

The point which is farthest from the origin is required.

The point which is the greatest distance from the origin is [tex](4,5)[/tex]

The distance of a point from origin is given by

[tex]d=\sqrt{x^2+y^2}[/tex]

[tex](1,6)[/tex]

[tex]d=\sqrt{1^2+6^2}\\\Rightarrow d=\sqrt{37}\ \text{units}[/tex]

[tex](2,6)[/tex]

[tex]d=\sqrt{2^2+6^2}\\\Rightarrow d=\sqrt{40}\ \text{units}[/tex]

[tex](4,5)[/tex]

[tex]d=\sqrt{4^2+5^2}\\\Rightarrow d=\sqrt{41}\ \text{units}[/tex]

[tex](5,1)[/tex]

[tex]d=\sqrt{5^2+1^2}\\\Rightarrow d=\sqrt{26}\ \text{units}[/tex]

The largest number is [tex]\sqrt{41}[/tex]

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Answer:

Place a point at

8,4

5,7

6,5

10,4

2,11

4,7

3,9

1,13

1,11

3,12

4,2

7,2

5,24

9,3

5,5

Step-by-step explanation:

Answer:

Put points on

8,4

5,7

6,5

10,4

2,11

4,7

3,9

1,13

1,11

3,12

4,2

7,2

5,24

9,3

5,5

Step-by-step explanation:

The systems of equations y = 6x - 11 and - 2x – Зу = -7 has solution (2, 1).

Two or more expressions with an Equal sign is called as Equation.

The given system of equations are y = 6x - 11 and

- 2x – Зу = -7

substitute y value in second equation.

-2x-3(6x-11)=-7

Apply distributive property

-2x-18x+33=-7

Combine the like terms

-20x+33=-7

Subtract 33 from both sides

-20x=-7-33

-20x=-40

Divide both sides by 20

x=2

Now subtract x=2 in equation 1

y=12-11=1

Hence,  the systems of equations y = 6x - 11 and - 2x – Зу = -7 has solution (2, 1).

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Answer:

[tex]3a^4b^3[/tex]

Step-by-step explanation:

[tex]\frac{15a^8b^4}{5a^4b}\\\mathrm{Divide\:the\:numbers:}\:\frac{15}{5}=3\\=\frac{3a^8b^4}{a^4b}\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\frac{a^8}{a^4}=a^{8-4}\\=\frac{3b^4a^{8-4}}{b}\\\mathrm{Subtract\:the\:numbers:}\:8-4=4\\=\frac{3a^4b^4}{b}\\\mathrm{Cancel\:the\:common\:factor:}\:b\\3a^4b^3[/tex]

Answer:

y=x+12/4

Step-by-step explanation:

y=4x-12

x=4y-12 (then make y the subject)

x+12=4y(divide both sides by 4)

y=x+12/4

Answer:

1/30

Step-by-step explanation:

well if there are 150 cards on the table and 5 are bonus, this can be turned into a simple fraction 5/150. just simplify and you are good to go!

Third option is the correct answer.

Answer:

[tex] \sqrt{5} [/tex]

Step-by-step explanation:

[tex] \huge \bigg( {5}^{ \frac{3}{4} } \bigg) ^{ \frac{2}{3} } \\ \\ \huge = {5}^{ \frac{3}{4} \times \frac{2}{3} } \\ \\ \huge = {5}^{ \frac{6}{12} } \\ \\ \huge = {5}^{ \frac{1}{2} } \\ \\ \huge = \sqrt{5} [/tex]

Answer:

36 ft

Step-by-step explanation:

The first step is to find the length of the hypotenuse of the newly formed right triangle. Using the Pythagorean theorem:

[tex]x=\sqrt{10^2+24^2}=\sqrt{100+576}=\sqrt{676}=26[/tex]

Adding this to the 10 foot tall part of the tree that remains standing, you get an initial height of 26+10=36 feet. Hope this helps!

Answer:

[tex] x^{33} [/tex]

Step-by-step explanation:

[tex] \dfrac{x^8y^{-26}}{x^{14}y^{-5} \times x^{-39}y^{-21}} = [/tex]

A negative exponent in the numerator is a positive exponent in the denominator.

A negative exponent in the denominator is a positive exponent in the numerator.

[tex] = \dfrac{x^8y^{5}x^{39}y^{21}}{x^{14}y^{26}} [/tex]

[tex] = \dfrac{x^{8 + 39} y^{5 + 21}}{x^{14}y^{26}} [/tex]

[tex] = \dfrac{x^{47} y^{26}}{x^{14}y^{26}} [/tex]

[tex] = x^{47 - 14} y^{26 - 26} [/tex]

[tex] = x^{33} y^{1} [/tex]

[tex] = x^{33} [/tex]

Answer: $48

Step-by-step explanation:

From the question, we are told that in Michigan, the sales tax rate is 6% and that an item costs $50.88 including tax.

Let the cost of the item before tax be x. This means that x plus 6% of x equals to $50.88. This can be mathematically expressed as:

x + (6% of x) = $50.88

x + (6/100 × x) = $50.88

x + (0.06 × x) = $50.88

x + 0.06x = $50.88

1.06x = $50.88

When then divide by the coefficient of x

1.06x/1.06 = #50.88/1.06

x = $48

The price before the tax is $48

Answer:

Shift 1 unit to the right, i.,e. option (c).

Step-by-step explanation:

Note: Both functions can not be represented by f(x) and square is missing in basic function.

The given basic function is

[tex]f(x)=x^2[/tex]

The given function is  

[tex]g(x)=(x-1)^2[/tex]

So, the given function can be written in the form of basic form as

[tex]g(x)=f(x-1)[/tex]     ...(1)

The translation is defined as

[tex]g(x)=f(x+a)2+b[/tex]     .... (2)

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

[tex]a=-1,b=0[/tex]

Therefore, graph of f(x) shift 1 unit to the right to get graph of g(x).

Answer:

It C

Step-by-step explanation: