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dimaraw [331]
1 year ago
7

WHAT IS THE TRUE STATMENTS

Mathematics
2 answers:
blondinia [14]1 year ago
8 0
A, B, D, and E are all true. A is true because 5/5 equals a whole, and because the fraction is 4/5 in terms of negative numbers, it’s greater than -1 because it is closer to 0. B is correct because 1/5 is equal to 2/10, or 0.2, and 0.2 is greater than -0.3. D is correct because 0 is the origin, and -0.5 is below 0. E is correct because -3/5 is equal to -60%, or -0.6.
PtichkaEL [24]1 year ago
6 0

Answer:

number 3

Step-by-step explanation:

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(3,-3), slope 3 write an equation of the line that passes through the given point and has the given slope
tester [92]

Answer:

y = 3x - 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3, thus

y = 3x + c ← is the partial equation

To find c substitute (3, - 3) into the partial equation

- 3 = 9 + c ⇒ c = - 3 - 9 = - 12

y = 3x - 12 ← equation of line

4 0
3 years ago
Read 2 more answers
The area of ​​the bottom of the two cylindrical vessels A and B is 400cm ^ 2 and 300cm ^ 2, respectively. A jar is about 6cm hig
Sonbull [250]

Answer:

Water in container B will be at 6.own

Step-by-step explanation:

calculate the volume in cont. A

VoA=400×6

=2400cm cube

VoB=420ml

=420cm cube [1ml=1cm cube]

now add both volumes

V=2400+420

=2820cm cube

Now,

2820 cm cube in jar B so

2820=420×h

h=6.71

4 0
3 years ago
I need help fast
Pie
YZ since they are in the same spot in the cong statement
4 0
3 years ago
Find the x- and y-intercepts of the line with equation 8x - 4y = -64
maw [93]

Answer:

x-intercept:8

y-intercept:16

Step-by-step explanation:

This is the equation of a straight line. When the line crosses the x-axis that is the x- intercept, the corresponding y-coordinate will be zero. Substituting y = 0 into the equation and solving for x gives the x-intercept.

8x-(4×0)=-64

         -8x=-64

             x=8   <=  the x-intercept.

Similarly, when the line crosses the y-axis the corresponding x- coordinate will be zero. Let x = 0 and solve for y.

(8×0)-4y=-64

        -4y=-64

           y=16    <=  the y-intercept .

7 0
3 years ago
Read 2 more answers
Does there exist a di↵erentiable function g : [0, 1] R such that g'(x) = f(x) for all x 2 [0, 1]? Justify your answer
agasfer [191]

Answer:

No; Because g'(0) ≠ g'(1), i.e. 0≠2, then this function is not differentiable for g:[0,1]→R

Step-by-step explanation:

Assuming:  the function is f(x)=x^{2} in [0,1]

And rewriting it for the sake of clarity:

Does there exist a differentiable function g : [0, 1] →R such that g'(x) = f(x) for all g(x)=x² ∈ [0, 1]? Justify your answer

1) A function is considered to be differentiable if, and only if  both derivatives (right and left ones) do exist and have the same value. In this case, for the Domain [0,1]:

g'(0)=g'(1)

2) Examining it, the Domain for this set is smaller than the Real Set, since it is [0,1]

The limit to the left

g(x)=x^{2}\\g'(x)=2x\\ g'(0)=2(0) \Rightarrow g'(0)=0

g(x)=x^{2}\\g'(x)=2x\\ g'(1)=2(1) \Rightarrow g'(1)=2

g'(x)=f(x) then g'(0)=f(0) and g'(1)=f(1)

3) Since g'(0) ≠ g'(1), i.e. 0≠2, then this function is not differentiable for g:[0,1]→R

Because this is the same as to calculate the limit from the left and right side, of g(x).

f'(c)=\lim_{x\rightarrow c}\left [\frac{f(b)-f(a)}{b-a} \right ]\\\\g'(0)=\lim_{x\rightarrow 0}\left [\frac{g(b)-g(a)}{b-a} \right ]\\\\g'(1)=\lim_{x\rightarrow 1}\left [\frac{g(b)-g(a)}{b-a} \right ]

This is what the Bilateral Theorem says:

\lim_{x\rightarrow c^{-}}f(x)=L\Leftrightarrow \lim_{x\rightarrow c^{+}}f(x)=L\:and\:\lim_{x\rightarrow c^{-}}f(x)=L

4 0
3 years ago
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