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sertanlavr [38]
3 years ago
9

Given four functions, which one will have the highest y-intercept?

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
6 0
Here are the four functions :
<span>1) Blake is tracking his savings account with an interest rate of 5% and a original deposit of $6.
</span>Equation : y = 0.05x + 6
y-intercept = (0,6)

2) <span>x           g(x)
    1            6
    2            8
    3           12
 y-intercept = (0,5)

3) T</span><span>he function h of x equals 4 to the x power, plus 3
    equation : y = 4^x + 3
y-intercept = (0,4)

4) </span><span>j(x) = 10(2)x
y-intercept = (0,1)

Best choice : f(x) has the highest y-intercept.</span>
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The coordinates of the midpoint of segment GH are M (4,3) and the coordinates of one endpoint are G (5,-6)
Mariulka [41]

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ G(\stackrel{x_1}{5}~,~\stackrel{y_1}{-6})\qquad H(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{x+5}{2}~~,~~\cfrac{y-6}{2} \right)~~=~~\stackrel{\stackrel{midpoint}{M}}{(4,3)}\implies \begin{cases} \cfrac{x+5}{2}=4\\[1em] x+5=8\\ \boxed{x=3}\\ \cline{1-1} \cfrac{y-6}{2}=3\\[1em] y-6=6\\ \boxed{y=12} \end{cases}

5 0
3 years ago
Your math test scores are 76, 85, 92, and 63. What is the lowest score you can earn on the next test and still achieve an averag
sattari [20]

Hey there! I'm happy to help!

We have 5 test scores that give us an average of at least 75.

76, 85, 92, 63, x

We add these all up and divide by 5 to get 75.

Let's go backwards to find x.

We multiply by 5.

75(5)=375

We subtract all of the numbers except for x.

375-76-85-92-63=59

So, you need to earn at least 59 on the next test to achieve an average of at least 75.

Have a wonderful day! :D

4 0
3 years ago
Please answer ASAP I will give you brainliest
RideAnS [48]

Answer:

a = 11

b = 6

Step-by-step explanation:

\frac{5 + 2 \sqrt{3} }{7 + 4 \sqrt{3} }  = a - b \sqrt{3}  \\  \\  \frac{(5 + 2 \sqrt{3} )}{(7 + 4 \sqrt{3}) }  \times  \frac{(7  -  4 \sqrt{3})}{(7  -  4 \sqrt{3})}  = a - b \sqrt{3}  \\  \\  \frac{(5 + 2 \sqrt{3)} (7 - 4 \sqrt{3} )}{ {(7)}^{2} -  {(4 \sqrt{3} )}^{2}  } a - b \sqrt{3}  \\  \\   \frac{35 - 20 \sqrt{3}  + 14 \sqrt{3} - 24 }{49 - 48}  = a - b \sqrt{3}  \\  \\   \frac{11 - 6 \sqrt{3}}{1}  = a - b \sqrt{3}  \\  \\  11 - 6 \sqrt{3} = a - b \sqrt{3} \\  \\ equating \: like \: terms \: on \: both \: \\  sides, \: we \: find :  \\  \\ a = 11 \\  \\ b = 6

8 0
3 years ago
Joe has $173 he earns the same amount of money each week for seven weeks and put this money in the bank now Joe has $208 in the
joja [24]

Answer:

Joe makes 5 dollars a week

Step-by-step explanation:

Joe started with 173 so you will subtract that from the total

208-173=35

You will then divide that number by the number of weeks he has worked

35÷7=5

Therefore joe makes 5 dollars a week

4 0
3 years ago
The ratio of the angle measures in a quadrilateral is : : : . What is the measure of each angle?
Ganezh [65]

Answer:

  60° : 75° : 120° : 105°

Step-by-step explanation:

I like to work these by considering the relationship between a "ratio unit" and the angle it represents. Here, the sum of ratio units is 4+5+8+7 = 24. The sum of angles in a quadrilateral is 360°, so each ratio unit must stand for ...

  360°/24 = 15°

Multiplying the ratio units by this value, we find the angles to be ...

  (4 : 5 : 8 : 7) × 15° = 60° : 75° : 120° : 105°

4 0
3 years ago
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