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iren2701 [21]
3 years ago
14

Help please? I’m not too sure what to do?

Mathematics
1 answer:
mamaluj [8]3 years ago
6 0

Answer:

75

Step-by-step explanation:

Average needed to get grade C = 70

Average = Total Amount / No of Items.

No of items = 4

therefore Total needed = 70 x 4 = 280

current total score = 66.75 + 66 + 72.25 = 205

the fourth test minimum score = 280 - 205 = 75

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Help and plz show work! No links! Hurry!!!!!
malfutka [58]

Answer:

good you got the answer

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Analyze the polynomial function ​f(x)equalsnegative 4 (x plus 3 )(x minus 4 )cubed using parts​ (a) through​ (e).a) Determine th
Ksju [112]

Answer:

a) f(x) tends to minus infinity

b) (0,768) is the y-intercept, (4,0) and (-3,0) are the x-intercepts.

Step-by-step explanation:

Our function is f(x)=-4(x+3)(x-4)^3 a polynomial of degree 4.

a) The monomial with highest degree determines the behavior of f(x) when x tends to infinity and when x tends to -infinity. This monomial is -4x⁴. Without expanding completely, (x-4)³ has x³ as a summand, which multiplies with -4x from the first factor, to give -4x⁴. When x goes to infinity (or minus infinitive), x²=(x²)² is positive (nonzero squares are always positive) thus -4x² is negative, and f(x) tends to minus infinity.

b). To find the y-intercept, we compute (0,f(0)). Since f(0)=-4(3)(-4)³=768, then (0,768) is the point of the y-intercept.

For the x-intercept, solve f(x)=0. f(x)=0 has the solutions x=-3 and x=4. In this case, the x-intercept is in both x=0 and x=4. Then (-3,0) and (4,0) are x-intercepts.

5 0
3 years ago
Tomika heard that the diagonals of a rhombus are perpendicular to each other. Help her test her conjecture. Graph quadrilateral
Stella [2.4K]

Answer:

a. The four sides of the quadrilateral ABCD are equal, therefore, ABCD is a rhombus

b. The equation of the diagonal line AC is y = 5 - x

The equation of the diagonal line BD is y = 5 - x

c. The diagonal lines AC and BD of the quadrilateral ABCD are perpendicular to each other

Step-by-step explanation:

The vertices of the given quadrilateral are;

A(1, 4), B(6, 6), C(4, 1) and D(-1, -1)

a. The length, l, of the sides of the given quadrilateral are given as follows;

l = \sqrt{\left (y_{2}-y_{1}  \right )^{2}+\left (x_{2}-x_{1}  \right )^{2}}

The length of side AB, with A = (1, 4) and B = (6, 6) gives;

l_{AB} = \sqrt{\left (6-4  \right )^{2}+\left (6-1  \right )^{2}} = \sqrt{29}

The length of side BC, with B = (6, 6) and C = (4, 1) gives;

l_{BC} = \sqrt{\left (1-6  \right )^{2}+\left (4-6  \right )^{2}} = \sqrt{29}

The length of side CD, with C = (4, 1) and D = (-1, -1) gives;

l_{CD} = \sqrt{\left (-1-1  \right )^{2}+\left (-1-4  \right )^{2}} = \sqrt{29}

The length of side DA, with D = (-1, -1) and A = (1,4)   gives;

l_{DA} = \sqrt{\left (4-(-1)  \right )^{2}+\left (1-(-1)  \right )^{2}} = \sqrt{29}

Therefore, each of the lengths of the sides of the quadrilateral ABCD are equal to √(29), and the quadrilateral ABCD is a rhombus

b. The diagonals are AC and BD

The slope, m, of AC is given by the formula for the slope of a straight line as follows;

Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

Therefore;

Slope, \, m_{AC} =\dfrac{1-4}{4-1} = -1

The equation of the diagonal AC in point and slope form is given as follows;

y - 4 = -1×(x - 1)

y = -x + 1 + 4

The equation of the diagonal AC is y = 5 - x

Slope, \, m_{BD} =\dfrac{-1-6}{-1-6} = 1

The equation of the diagonal BD in point and slope form is given as follows;

y - 6 = 1×(x - 6)

y = x - 6 + 6 = x

The equation of the diagonal BD is y = x

c. Comparing the lines AC and BD with equations, y = 5 - x and y = x, which are straight line equations of the form y = m·x + c, where m = the slope and c = the x intercept, we have;

The slope m for the diagonal AC = -1 and the slope m for the diagonal BD = 1, therefore, the slopes are opposite signs

The point of intersection of the two diagonals is given as follows;

5 - x = x

∴ x = 5/2 = 2.5

y = x = 2.5

The lines intersect at (2.5, 2.5), given that the slopes, m₁ = -1 and m₂ = 1 of the diagonals lines satisfy the condition for perpendicular lines m₁ = -1/m₂, therefore, the diagonals are perpendicular.

5 0
3 years ago
Helpppp now please helpppp
algol [13]
The correct answer is:  [B]:  " \frac{(-3)(4)}{(6)} " . 
__________________________________________________________
Consider choice [A]:  \frac{(3)(4)}{(6)} ; 
                              = \frac{12}{6} ; 
                              = 2 ;  "2 ≠ -2" ; so we can rule out:  "Choice [A]" .
__________________________________________________________
Consider choice [B]:  \frac{(-3)(4)}{(6)} ; 
                              = \frac{-12}{6} ; 
                              =  "-2" ;  Yes!
→ Let us proceed with the final answer choice ;
__________________________________________________________
Consider choice [C]:  \frac{(-3)(-4)}{(6)} ; 
                              = \frac{12}{6} ; 
                              = 2 ;  "2 ≠ -2" ; so we can rule out:  "Choice [C]" .
__________________________________________________________
The correct answer is:  [B]:  " \frac{(-3)(4)}{(6)} "  .
__________________________________________________________
7 0
3 years ago
Use a net to find the surface area of the right triangular prism shown below: Three rectangles next to each other with a width o
kifflom [539]

Area tells us the size of a shape or figure. It tells us the size of squares, rectangles, circles, triangles, other polygons, or any enclosed figure.

In the real world it tells us the size of pieces of paper, computer screens, rooms in houses, baseball fields, towns, cities, countries, and so on. Knowing the area can be very important. Think of getting a new carpet fitted in a room in your home. Knowing the area of the room will help make sure that the carpet you buy is big enough without having too much left over.

Calculating Area

Area is measured in squares (or square units).

How many squares are in this rectangle?

example of rectangle with area of 15 square units

We can count the squares or we can take the length and width and use multiplication. The rectangle above has an area of 15 square units.

7 0
3 years ago
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