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3 years ago

Laura has a toy robot collection 4/7 of her robots makes noise how many of lauras robots make noise?

Mathematics

1 answer:

sleet_krkn [62]3 years ago

3 0

Answer:

16 robots make noise

Step-by-step explanation:

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Name 3 of the 4 features listed below for the function g (x) = log2 (x + 4) - 1 and include a description of how you found those

givi [52]

(1) Vertical asymptote: $x=-4$

(2) Domain: $x>-4$

(3) X intercept: $(-2,0)$ and Y intercept : $(0,1)$

(4) The function g(x) is shifted 4 units to the left and shifted 1 unit down.

Explanation:

The parent function is $f(x)=\log _{2} x$

The transformed function is $g(x)=\log _{2}(x+4)-1$

(1) Vertical asymptote:

The vertical asymptote of a function can be determined by equating

$x+4=0$

Thus, $x=-4$

The vertical asymptote is $x=-4$

(2) Domain:

The domain of a function is the set of all independent x-values.

$x+4>0$

Thus, $x>-4$

The domain of a function is $x>-4$

(3) X and Y intercepts:

To determine the x intercept, let us substitute y=0 in $g(x)=\log _{2}(x+4)-1$

$\begin{equation}\begin{aligned}\log _{2}(x+4)-1 &=0 \\\log _{2}(x+4) &=1 \\x+4 &=2^{1} \\x &=-2\end{aligned}$

Thus, the x intercept is $(-2,0)$

To determine the y intercept, let us substitute x=0 in $g(x)=\log _{2}(x+4)-1$

$\begin{equation}\begin{aligned}y &=\log _{2}(0+4)-1 \\&=\log _{2} 4-1 \\&=2-1 \\&=1\end{aligned}$

Thus, the y intercept is $(0,1)$

(4) To determine the transformation:

The transformed function $g(x)=\log _{2}(x+4)-1$ is shifted 4 units to the left and shifted 1 unit downwards.

4 0

3 years ago

What are the coordinates of the centroid of a triangle with vertices J(−4, 2) , K(2, 4) , and L(0, −2) ?

Kryger [21]

Given the coordinates of the three vertices of a triangle ABC,
the centroid coordinates are (x1+x2+x3)/3, (y1+y2+y3)/3
<span>so (-4+2+0)/3=-2/3, ]2+4+(-2)]/3=4/3
so the coordinates are (-2/3, 4/3)</span>

3 0

3 years ago

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In order for the parallelogram to be a rhombus x=

Eva8 [605]

Answer:

Step-by-step explanation:

Properties used:-

All sides of rhombus are equal therefore in the triangles

EQUAL SIDE OPPOSITE TO ANGLES, ANGLES BECOME EQUAL

then we use alternate interior angles

Then we get,

3x-11=x+23

2x=34

x=17

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2 years ago

Ill give brainliest<br> Triangle Sum Theorem CLASSWORK

Viefleur [7K]

Answer:

$8x + 32 + 116 = 180 \\ 8x + 148 = 180 \\ 8x = 180 - 148 \\ 8x =32 \\ \boxed{x = 4}$

<h3>4 is the right answer.</h3>

$(7x + 5) + 52 + 67 = 180 \\ 7x + 124 = 180 \\ 7x = 56 \\ \boxed{x = 8}$

<h3>8 is the right answer.</h3>

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3 years ago

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What x value makes this equation true -12x - 2(x+9) = 5(x+4)

TiliK225 [7]

Answer:

A. -2, x= -2

Step-by-step explanation:

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3 years ago

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