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2 years ago

2 questions in the pictures, it's grade 9 algebra 1 giving brainliest for first answer 50 points

Mathematics

1 answer:

butalik [34]2 years ago

8 0

write the above equation in the form of y = g(x).

⇒ y = (0.5)x + 3 – 4

Now, we convert the equation into y = mx + c form.

⇒ y = (0.5)x - 1

Here, we see that m = slope = 0.5, and c = y-intercept = -1.

Hence, the graph of g(x) = (0.5)x + 3 – 4 is a straight line with slope = 1/2 and y-intercept = -1.

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Hey has 15 teaspoons of chocolate chips. She uses 1 1/2 teaspoons for each muffin.The total number of teaspoons of chocolate chi

kaheart [24]

Answer:

The graph is attached.

- The meaning of the x-intercept is: The number of muffins she made by using all of teaspoons of chocolate chips

- The meaning of the y-intercept: The number of teaspoons of chocolate chips she had before she made any muffin.

Step-by-step explanation:

Given the equation of the line:

$y=-\frac{3}{2}x+15$

We need to find the x-intercept and the y-intercept.

To find the x-intercept, we must substitute $y=0$ into the equation and solve for "x":

$0=-\frac{3}{2}x+15\\\\-15=-\frac{3}{2}x\\\\(-15)(-\frac{2}{3})=x\\\\x=10$

To find the x-intercept, we can substitute $x=0$ into the equation and evaluate:

$y=-\frac{3}{2}(0)+15\\\\y=15$

Now we know that the line passes through these points:

$(10,0)\\\\(0,15)$

Then we can graph the equation.

The graph is attached.

Then, analizing the graph, we can conclude that:

- The meaning of the x-intercept is: The number of muffins she made by using all the teaspoons of chocolate chips.

- The meaning of the y-intercept: The number of teaspoons of chocolate chips she had before she made any muffin.

6 0

3 years ago

The total cost of a new calculator is $81.05. This price includes a 10% discount followed by a 6.5% sales tax. What was the orig

satela [25.4K]

Answer:

68.245

Step-by-step explanation:

total cost = $81.05

10% discount is 10/100× 81.05=8.105

substract 8.105 from 81.05= 72.945

with a 6.5% sales tax

6.5/100× 72.954 = 4.7

72.945-4.7= 68.245 the actual price

if am wrong let me know

3 0

2 years ago

Please help!!! help me solve this please please please

blagie [28]

C) they are parallel

as the slopes must be equal due to the fact they are both perpendicular to line n ( for a perpendicular line you flip the slope and change the sign , so both of them being perpendicular to n the slopes must be equal)

They cant interest at all since they are perpendicular and they may not be the same line

3 0

3 years ago

Is the relation a function? Why or why not? {(–3, –2), (–1, 0), (1, 0), (5, –2)}

tankabanditka [31]

Answer:

yes, the given relation is a function.

Step-by-step explanation:

The given relation is

{(–3, –2), (–1, 0), (1, 0), (5, –2)}

A relation is called function if each element of the domain is paired with exactly one element of the range.

It means for each value of x there exist a unique value of y.

In the given relation for each value of x there exist a unique value of y.

Therefore the required solution is yes and this relation is a function.

5 0

3 years ago

The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain after 1000 years?

adell [148]

Answer: 129.33 g

Step-by-step explanation:

$$$Let $p=A \cdot e^{n t}$ \\$(p=$ present amount, $A=$ initial amount, $n=$ decay rate, $t=$ time)$

$\begin{aligned}&\Rightarrow \text { Given } p=\frac{A}{2} \ a t \ t=1590 \\&\Rightarrow \frac{1}{2}=e^{1590n} \Rightarrow n=\frac{\ln (1 / 2)}{1590}=-0.00043594162\end{aligned}$

$If $A=200 \mathrm{mg}$ and $t=1000$ then,$$\begin{aligned}P &=200 e^{\left(\frac{\ln \left(1/2\right)}{1590}\right) \cdot 1000} \text \\\\&=129.33 \text { grams}\end{aligned}$

3 0

2 years ago