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3 years ago

Identify the domain of the function shown in the graph.

Mathematics

2 answers:

BARSIC [14]3 years ago

5 0

$x \geqslant 0$
D

Ede4ka [16]3 years ago

3 0

Answer:

x≥0

Step-by-step explanation:

The domain of the function f (x) is all the values of x for which the function is defined. In a graph, this can be seen as all the values that the function takes with respect to the x-axis. This function graph only has positive values and the zero, this means x takes zero and the values bigger than zero. So x≥0.

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Which lines are parallel if m<1 +m<2=180?

Harrizon [31]

Answer is choice A) j || k by the Converse of the Same Side Interior Angles Theorem

Lines j and k are the upward slanted lines on the left and right respectively. The transversal we only care about is line k. Line g is extra info put in there most likely to throw you off.

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The Same Side Interior Angles Theorem says that if two lines are parallel, then the same side interior angles (formed by the transversal cut) are supplementary. Those two same side interior angles add to 180 degrees. The converse reverses the direction of the theorem.

The converse says that if we know the same side interior angles are supplementary, then it leads to the two parallel looking lines to actually being parallel. So this is one way to check parallel-ness of two lines.

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3 years ago

Read 2 more answers

Find the equation of the line that contains the given point and the given slope. Write the equation in slope-intercept form.

stealth61 [152]

The slope-point form of a line:

$y-y_0=m(x-x_0)$

The slope-intercept form of a line:

$y=mx+b$

$m=6,\ (4,\ 1)\to x_0=4,\ y_0=1$

Substitute

$y-1=6(x-4)\qquad|\text{use distributive property}\\\\y-1=6x-24\qquad|\text{add 1 to both sides}\\\\\boxed{y=6x-23}$

$m=-5,\ (6,\ -3)$

Substitute

$y-(-3)=-5(x-6)\qquad|\text{use distributive property}\\\\y+3=-5x+30\qquad|\text{subtract 5 from both sides}\\\\\boxed{y=-5x+24}$

$m=-\dfrac{1}{2},\ (-8,\ 2)\\\\y-2=-\dfrac{1}{2}(x-(-8))\\\\y-2=-\dfrac{1}{2}(x+8)\\\\y-2=-\dfrac{1}{2}x-4\qquad|\text{add 2 to both sides}\\\\\boxed{y=-\dfrac{1}{2}x-2}$

$m=0,\ (-7,\ -1)\\\\y-(-1)=0(x-(-7))\\\\y+1=0\qquad|\text{subtract 1 from both sides}\\\\\boxed{y=-1}$

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3 years ago

A card is selected at random from a pack consisting of a total of 52 cards, including 4 queens and 4 kings. The card is not repl

Anvisha [2.4K]

analyze problme

the pack has 52 cards

four kings and four queens

rest will be detonated as x

The first card is already a king, so one king is deducted from the pile

so now there is 51 cards, so

4/51 is the chance you will draw a king

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3 years ago

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Leona [35]

Answer: 3

Step-by-step explanation:

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3 years ago

Lexi made 14 sandwiches for a group picnic. The number of ham sandwiches she made was 4 less than the twice the number of turkey

shutvik [7]

x = # of ham sandwiches

14-x = # of turkey sandwiches ( as Lexi made 14 sandwiches)

as the question said that the number of ha sandwiches are 4 less than twice number of turkey sandwiches,

x = 2 * (14-x) - 4 = 24 - 2x

3x=24

x = 8

the number of ham sandwiches is 8, and the number of turkey sandwiches is 14-8=6

6 0

3 years ago