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ipn [44]
3 years ago
8

Find the x and y intercepts. 2x-5y=25​

Mathematics
2 answers:
ANEK [815]3 years ago
7 0

Answer: X intercepts= ( 25 /2 ,  0 )

              Y intercepts = (0, -5)

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y  and solve for  x . To find the y-intercept, substitute in  0  for  x  and solve for  y .

So to find Y you'll do 2(0)-5y=25

2x0=0........this will make the equation 0-5y=25....0-5y is -5y and 25/-5 is -5. You now know that Y=-5 and X is automattically 0 in these types of problems hence why we plugged in 0 for X to solve for Y.

To find X you'll do the same thing but you'll plug 0 in for Y

so the equation will become 2x-5(0)=25 and 5x0=0 so it will become 2x-0=25 then you'll have to divide to get rid of X. If it does not go in evenly then you leave it as a fraction. This is why you get (25/2, 0)

Alecsey [184]3 years ago
6 0

Answer:

hm pic?

Step-by-step explanation:

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Find the annual interest rate.
slega [8]

The annual interest rate is 3.5%.

Solution:

Given Interest (I) = $26.25

Principal (P) = $500

Time (t) = 18 months

Rate of interest (r) = ?

Time must be in years to find the rate per annum.

1 year = 12 months

Divide the time by 12.

Time (t) = \frac{18}{12}=\frac{3}{2} years

Now, find the rate of interest using simple interest formula.

<u>Simple interest formula:</u>

$I=\frac{Prt}{100}

$26.25=\frac{500\times r\times \frac{3}{2} }{100}

$26.25\times 100 =500\times r\times \frac{3}{2}

$2625 =250\times r\times 3

$2625 =750\times r

$\Rightarrow r=\frac{2625}{750}

⇒ r = 3.5%

Hence the annual interest rate is 3.5%.

8 0
3 years ago
What are the explicit equation and domain for an arithmetic sequence with a first term of 5 and a second term of 2? (5 points)
tiny-mole [99]
The third choice is appropriate.
  an = 5 - 3(n - 1); all integers n ≥ 1

_____
This equation follows the form for the general term of an arithmetic sequence.
  an = a1 + d(n - 1)
where a1 is the first term (corresponding to n=1), and d is the common difference. From the problem statement, a1 = 5 and d = 2 - 5 = -3.
6 0
2 years ago
8x - y = 50; x + 4y = -2
inessss [21]

Answer: x= 6, y= -2

Step-by-step explanation: hope this helps.

3 0
2 years ago
Read 2 more answers
Suppose that we are testing a coin to see if it is fair, so our hypotheses are: H0: p = 0.5 vs Ha: p ≠ 0.5. In each of (a) and (
aleksley [76]

Answer:

H_0: p = 0.5\\H_a: p \neq 0.5

a. We get 56 heads out of 100 tosses.

We will use one sample proportion test  

x = 56

n = 100

\widehat{p}=\frac{x}{n}

\widehat{p}=\frac{56}{100}

\widehat{p}=0.56

Formula of test statistic =\frac{\widehat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}

                                       =\frac{0.56-0.5}{\sqrt{\frac{0.5(1-0.5)}{100}}}

                                       =1.2

refer the z table for p value

p value = 0.8849

a.  We get 560 heads out of 1000 tosses.

We will use one sample proportion test  

x = 560

n = 1000

\widehat{p}=\frac{x}{n}

\widehat{p}=\frac{560}{1000}

\widehat{p}=0.56

Formula of test statistic =\frac{\widehat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}

                                       =\frac{0.56-0.5}{\sqrt{\frac{0.5(1-0.5)}{1000}}}

                                       =3.794

refer the z table for p value

p value = .000148

p value of part B is less than Part A because part B have 10 times the number the tosses.

6 0
2 years ago
Determine whether −2 is a zero (root) of the function:
lianna [129]

Answer:

The answer to your question is No

Step-by-step explanation:

Data

function f(x) = 2x³ + x² - 10x - 12

To know if a number is a root of a function, evaluate the function on that number, if the result is zero, then that number is a root.

Substitution          

               f(-2) = 2(-2)³ + (-2)² - 10(-2) - 12

Simplification          

               f(-2) = 2(-8) + 4 + 20 - 12

               f(-2) = -16 + 4 + 20 - 12

               f(-2) = -28 + 24

               f(-2) = -4

-2 is not a root that the function.

5 0
3 years ago
Read 2 more answers
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