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3 years ago

Consider the functions f(x) = 2x + 10 Which statement is true?

Mathematics

2 answers:

amid [387]3 years ago

8 0

B
It is liner and increases

dimulka [17.4K]3 years ago

5 0

Answer:

Step-by-step explanation:

It is linear and increasing.

If it is linear, it is increasing at a constant rate with a straight line.

Exponential means it is a curved line and would have an equation like f(x)=5^x

If it was decreasing, it would have a negative slope, such as -2x +10

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Divisibilty by 2 5 and 10

Nataly_w [17]

Step-by-step explanation:

if the number ends in a 0,it is divisible by 10.Also if number and s divisible by 2 and 5 it is divisible by 10

6 0

3 years ago

How do I verify this?

Mashcka [7]

Answer:

sec²-2scθ+tanθ+tan²θ=1-sinθ/1+sinθ

sec²-2scθ+tanθ+tan²θ

= 1+sin²θ-2sinθ/cos²θ

=-1+sinθ/1+sinθ

=1-sinθ/sinθ+1

1-sinθ/sinθ+1=-1+sinθ/1+sinθ True

6 0

3 years ago

Dilate the the triangle, scale factor = 3 (positive 3, ignore the

HACTEHA [7]

Answer:

The rule of dilation is $P'(x,y) = 3\cdot P(x,y)$ .

The vertices of the dilated triangle are $A'(x,y) = (-21, -18)$ , $B'(x,y) = (-15,-10)$ and $C'(x,y) = (-3,-15)$ , respectively.

Step-by-step explanation:

From Linear Algebra, we define the dilation by the following definition:

$P'(x,y) = O(x,y) + k\cdot[P(x,y)-O(x,y)]$ (1)

Where:

$O(x,y)$ - Center of dilation, dimensionless.

$k$ - Scale factor, dimensionless.

$P(x,y)$ - Original point, dimensionless.

$P'(x,y)$ - Dilated point, dimensionless.

If we know that $O(x,y) = (0,0)$ , $k = 3$ , $A(x,y) = (-7,-6)$ , $B(x,y) = (-5,-2)$ and $C(x,y) =(-1,-5)$ , then dilated points of triangle ABC are, respectively:

$A'(x,y) = O(x,y) + k\cdot [A(x,y)-O(x,y)]$ (2)

$A'(x,y) = (0,0) + 3\cdot [(-7,-6)-(0,0)]$

$A'(x,y) = (-21, -18)$

$B'(x,y) = O(x,y) + k\cdot [B(x,y)-O(x,y)]$ (3)

$B'(x,y) = (0,0) + 3\cdot [(-5,-2)-(0,0)]$

$B'(x,y) = (-15,-10)$

$C'(x,y) = O(x,y) + k\cdot [C(x,y)-O(x,y)]$ (4)

$C'(x,y) = (0,0) +3\cdot [(-1,-5)-(0,0)]$

$C'(x,y) = (-3,-15)$

The rule of dilation is:

$P'(x,y) = 3\cdot P(x,y)$ (5)

The vertices of the dilated triangle are $A'(x,y) = (-21, -18)$ , $B'(x,y) = (-15,-10)$ and $C'(x,y) = (-3,-15)$ , respectively.

7 0

3 years ago

Help me please it’s due today :/

jeyben [28]

Answer:

68 degrees

Step-by-step explanation:

This triangle is an isosceles triangle which means that two sides have equal lengths and when two sides have equal lengths that means that two angles are the same. so you add 56 and 56 together and you get a sum of 112. all triangles add up to a degree of 180, so you therefore subtract 112 from 180 which gives you an answer of 68 degrees , therefore x is 68

6 0

3 years ago

Molly's jump rope is 6 1/3 feet long. Gail's jump rope is 4 2/3 feet long. How much longer is Molly's jump rope?

yaroslaw [1]

If you would like to know how much longer is Molly's jump rope, you can calculate this using the following steps:

6 1/3 feet long - 4 2/3 feet long = 6 1/3 - 4 2/3 = 19/3 - 14/3 = 5/3 = 1 2/3

The correct result would be 1 2/3 feet longer.

4 0

3 years ago

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