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3 years ago

Use intercepts to graph the linear equation -5/2x+y=10

Mathematics

2 answers:

laila [671]3 years ago

5 0

Answer:

y=5/2x+10 is the answer

postnew [5]3 years ago

3 0

9514 1404 393

Answer:

see attached

Step-by-step explanation:

The x-intercept can be found by setting y=0 and solving for x.

-5/2x = 10

x = 10(-2/5) = -4

The y-intercept can be found by setting x=0 and solving for y.

y = 10

Then the graph is made by plotting these points and drawing a line through them.

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Maggie has 4 3/5 of icing to decorate cakes for a bake sale. Each container will cover 20 1/4 in2. How many square inches will i

ExtremeBDS [4]

Answer:

$93\frac{3}{20} \ square \ inches$ .

Step-by-step explanation:

Given:

Maggie has 4 3/5 container of icing to decorate cakes for a bake sale.

Each container will cover 20 1/4 square inches.

Question asked:

How many square inches will it cover if she uses all of her icing ?

Solution:

Total number of container Maggie has = $4\frac{3}{5}$

Each container will cover = $20\frac{1}{4}$ square inches.

Now, we can find easily that how many square inches it will cover by using all of her icing by unitary method:

Each container will cover = $20\frac{1}{4}$

$4\frac{3}{5}$ container will cover = $20\frac{1}{4}\times4\frac{3}{5} =\frac{20\times4+1}{4} \times\frac{5\times4+3}{5} \$

$=\frac{81}{4} \times\frac{23}{5} =\frac{1863}{20} =93\frac{3}{20}\ square\ inches$

Thus, it will cover $93\frac{3}{20} \ square \ inches$ ,if she uses all of her icing.

7 0

3 years ago

Arithmetic sequences et sn} be an arithmetic sequence that starts with an initial index of 0. The initial term is 3 and the comm

navik [9.2K]

Answer:

(a) The value of $s_z$ is (z+1)(3-z).

(b) The next term in the sequence is -2.

Step-by-step explanation:

(a)

It is given that arithmetic sequence that starts with an initial index of 0.

The initial term is 3 and the common difference is -2.

$a_0=3$

$d=-2$

We need to find the value of $s_z$ .

$s_z=\sum_{n=0}^{n=z}(a+nd)$

where, a is initial term and d is common difference.

$s_z=\sum_{n=0}^{n=z}(3-2n)$

The sum of an arithmetic sequence with initial index 0 is

$s_n=\frac{n+1}{2}[2a+nd]$

where, a is initial term and d is common difference.

Substitute n=z, a=3 and d=-2 in the above formula.

$s_z=\frac{z+1}{2}[2(3)+z(-2)]$

$s_z=\frac{z+1}{2}[2(3-z)]$

$s_z=(z+1)(3-z)$

Therefore the value of $s_z$ is (z+1)(3-z).

(b)

The given arithmetic sequence is

7, 4, 1, ...

We need to find the term in the sequence.

In the given arithmetic sequence the first term is

$a=7$

The common difference of the sequence is

$d=a_2-a_1\Rightarrow 4-7=-3$

The first term is 7 and common difference is -3.

Add common difference in last given term, i.e., 1, to find the next term of the sequence.

$1+(-3)=1-3=-2$

Therefore the next term in the sequence is -2.

3 0

4 years ago

The rate of change in sales for Garmin from 2008 through 2013 can be modeled by

Zina [86]

Answer:

a) The model for the sales of Garmin is represented by $S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + 47.112$ .

b) The average sales of Garmin from 2008 through 2013 were $ 2.5 billion.

Step-by-step explanation:

a) The model for the sales of Garmin is obtained by integration:

$S(t) = -0.0972\int {t^{2}} \, dt + 2.136\int {t}\,dt -11.9 \int\,dt$

$S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + C$ (1)

Where $C$ is the integration constant.

If we know that $t = 9$ and $S(t) = 2.9$ , then the model for the sales of Garmin is:

$-\frac{81}{2500} \cdot 9^{3} + \frac{267}{250}\cdot 9^{2}-11.9\cdot (9) + C = 2.9$

$C = 47.112$

The model for the sales of Garmin is represented by $S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + 47.112$ .

b) The average sales of the Garmin from 2008 through 2013 ( $\bar{S}$ ) is determined by the integral form of the definition of average, this is:

$\bar{S} = \frac{1}{13 - 8} \cdot \int\limits^{13}_{8} {S(t)} \, dt$ (2)

$\bar S = \frac{1}{5}\cdot \int\limits^{13}_{8} {\left[-\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2}-11.9\cdot t + 47.112 \right]} \, dt$

$\bar S = \frac{1}{5}\cdot \left[-\frac{81}{10000}\cdot (13^{4}-8^{4}) +\frac{89}{250}\cdot (13^{3}-8^{3}) -\frac{119}{20}\cdot (13^{2}-8^{2}) +47.112\cdot (13-8) \right]$ $\bar{S} = \frac{1}{5}\cdot (-198.167+599.86-624.75+235.56)$

$\bar{S} = 2.5$

The average sales of Garmin from 2008 through 2013 were $ 2.5 billion.

7 0

3 years ago

If angela swims 1,700 meters in 40 minutes what is her unit rate

LuckyWell [14K]

1700m = 40 mins
60 mins = 1 hour
60 mins - 40 mins = 20 mins (Half of more)
1700 / 2 = 850
1700 + 850 = 2550 meter/hour

8 0

3 years ago

Read 2 more answers

What are the x and y-intercepts of the line described by the equation? 3x−9y=10.8

zheka24 [161]

Answer:

y intercept = (0,-1.2)

x intercept = (3.6,0)

Step-by-step explanation:

For y-int, x=0

3(0)-9(y)=10.8

9y=-10.8

y= -1.2

For x-int, y =0

3x - 9(0)=10.8

3x=10.8

x=3.6

7 0

3 years ago