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3 years ago

12

Viktor borrowed money from his father to buy a bike. He will repay him by making 4 equal payments of over $40. Which inequality

represents the amount of money, m, Viktor borrowed from his father? m less-than 44 m greater-than 44 m less-than 160 m greater-than 160

2 answers:

olasank [31]3 years ago

5 0

Answer:

<u><em>m greater than 14</em></u>

Elina [12.6K]3 years ago

3 0

Answer:

m greater than 44

Step-by-step explanation:

The equal payments will add up to $160 which is greater than 44 and the most reasonable answer.

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Consider the graph of the parent exponential function fand transformed function g.

zaharov [31]

Answer:

22

Step-by-step explanation:

22

4 0

2 years ago

How to do this question plz answer my question step by step plzz plz plz plz

never [62]

Answer:

40°, 95°, 105°, and 160°

Step-by-step explanation:

Let the smallest angle be x.

Measures of the 3 angles can be expressed as:

$x + 55$

$x + 65$

$x + 120$

The sum of all angles in a quadrilateral = 360°.

Therefore, $(x + 55) + (x + 65) + (x + 120) = 360$

Solve for x

$x + 55 + x + 65 + x + 120 = 360$

$3x + 240 = 360$

$3x + 240 - 240 = 360 - 240$

$3x = 120$

$\frac{3x}{3} = \frac{120}{3}$

$x = 40$

The smallest angle = 40°

Plug in the value of x in the earlier stated expressions to find the measure of the other angles:

$x + 55 = 40 + 55 = 95$

$x + 65 = 40 + 65 = 105$

$x + 120 = 40 + 120 = 160$

3 0

2 years ago

2. Draw the image of RST under the dilation with scale factor 2/3 and center of dilation (1,-1). Label the image RST .

professor190 [17]

Answer:

From the graph: we have the coordinates of RST i.e,

R = (2,1) , S = (2,-2) , T = (-1,-2)

Also, it is given the scale factor $\frac{2}{3}$ and center of dilation C (1,-1)

The mapping rule for the center of dilation applied for the triangle as shown below:

$(x, y) \rightarrow (\frac{2}{3}(x-1)+1, \frac{2}{3}(y+1)-1)$

or

$(x, y) \rightarrow (\frac{2}{3}x -\frac{2}{3}+1 , \frac{2}{3}y+\frac{2}{3}-1)$

or

$(x, y) \rightarrow (\frac{2}{3}x+\frac{1}{3} , \frac{2}{3}y-\frac{1}{3} )$

Now,

for R = (2,1)

the image R' = $(\frac{2}{3}(2)+\frac{1}{3} , \frac{2}{3}(1)-\frac{1}{3} )$ or

$(\frac{4}{3}+\frac{1}{3} , \frac{2}{3}-\frac{1}{3} )$

⇒ R' = $(\frac{5}{3} , \frac{1}{3})$

For S = (2, -2) ,

the image S'= $(\frac{2}{3}(2)+\frac{1}{3} , \frac{2}{3}(-2)-\frac{1}{3} )$ or

$(\frac{4}{3}+\frac{1}{3} , \frac{-4}{3}-\frac{1}{3} )$

⇒ S' = $(\frac{5}{3} , -\frac{5}{3})$

and For T = (-1, -2)

The image T' = $(\frac{2}{3}(-1)+\frac{1}{3} , \frac{2}{3}(-2)-\frac{1}{3} )$ or

$(\frac{-2}{3}+\frac{1}{3} , \frac{-4}{3}-\frac{1}{3} )$

⇒ T' = $(\frac{-1}{3} , \frac{-5}{3})$

Now, label the image of RST on the graph as shown below in the attachment:

5 0

2 years ago

Each equation represents a linear relationship. Examine each and determine the slope and y- intercept

marysya [2.9K]

Answer:

Slope is -3/7. Y intercept is 250/7.

Step-by-step explanation:

Since they asking for the slope and y intercept, let put it in slope intercept form.

$y = mx + b$

where m is the slope and b is the y intercept.

The equation given is in standard form so we will convert it to slope intercept.

$3x + 7y = 250$

$7y = 250 - 3x$

$y = \frac{250}{7} - \frac{3}{7} x$

$y = - \frac{3}{7} x + \frac{250}{7}$

The slope is -3/7

The y intercept is 250/7

6 0

2 years ago

During a recent eruption, the volcano spewed out copious amount of ash. One small piece of ash was ejected from the volcano with

nlexa [21]

For question number 1:The plot H = H(t) is the parabola and it reaches its maximum in the moment when exactly at midpoint between the roots t = 0 and t = 23. At that moment t = 23/2 or 11.5 seconds.
For question number 2:To find the maximal height, just simply substitute t = 11.5 into the quadratic equation. The answer would be 22.9.
For question number 3:H(t) = 0, or, which is the same as -16t^2 + 368t = 0.Factor the left side to get -16*t*(t - 23) = 0.t = 0, relates to the very start of the process, when the ash started its way up.The other root is t = 23 seconds, and it is precisely the time moment when the bit of ash will go back to the ground.

6 0

3 years ago