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natka813 [3]
3 years ago
8

Someone help me with this word problem please

Mathematics
1 answer:
Katarina [22]3 years ago
8 0

Answer:

Therefore,

x = -13 , y = 17 or x = 12 , y = 42

Step-by-step explanation:

First, you have to form equation in terms of x and y. With the given informations, the equations will be :

x - y =  - 30

{x}^{2}  + (y + 3) = 189

Next, you have to solve it by substitution :

x =  - 30 + y -  -  - (1)

{x }^{2}  + (y + 3) = 189 -  -  - (2)

(1)→(2)

{( - 30 + y)}^{2}  + (y + 3) = 189

900  - 60y +  {y}^{2}  + y + 3 = 189

{y}^{2}   - 59y + 714 = 0

(y - 42)(y - 17) = 0

y = 17 \:  \: or \:  \: 42

sub \:  \: y = 17  \: \: into  \: \: (1)

x =  - 30 + 17 =  - 13

sub  \: \: y = 42 \: into \:  \: (1)

x =  - 30 + 42 = 12

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Two numbers such that the greater number is 75 percent more than the lesser number
victus00 [196]
<h2>Greetings!</h2>

If x = the first number (equal to 1x) then the second number is 75% more than this.

This means the value of the bigger number is 100 + 75 (because 100 is the starting number and 75 is the percent bigger)

This can be shown with the following equation:

Amount * \frac{percentage}{100}

x *  \frac{175}{100} = 1.75x

1.75x is the value of the bigger number.


<h2>Hope this helps!</h2>
8 0
3 years ago
How do you write 68860500086006 in word form
inysia [295]
Sixty eight trillion, eight hundred sixty billion, five hundred million, eighty six thousand and six
6 0
3 years ago
A random sample of 7 fields of durum wheat has a mean yield of 29.8 bushels per acre and standard deviation of 3.62 bushels per
meriva

Answer:

CI = 29.8 ± 3.53

Critical value is z = 2.58

Step-by-step explanation:

First of all let's find margin of error. It is given by the formula;

ME = zσ/√n

We are given;

Standard deviation; σ = 3.62

Sample size; n = 7

Mean; x¯ = 29.8

Now, z-value for 99% Confidence level is 2.58

Thus;

ME = (2.58 × 3.62)/√7

ME = 3.53

CI is written as;

CI = x¯ ± ME

CI = 29.8 ± 3.53

Critical value is z = 2.58

5 0
3 years ago
the slope of a line passing through h (-2, 5) is -3/4. Which ordered pair represents a point on this line? ​
rosijanka [135]

Answer:

A

Step-by-step explanation:

Calculate the slope of the given points with the point (- 2,  5 )

If the slope is - \frac{3}{4} then the point is on the line

Calculate slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (6, - 1)

m = \frac{-1-5}{6+2} = \frac{-6}{8} = - \frac{3}{4} ← point (6, - 1) is on the line

Repeat with (x₁, y₁ ) = (- 2, 5 ) and (x₂, y₂ ) = (2, 8)

m = \frac{8-5}{2+2} = \frac{3}{4} ← point (2, 8) is not on the line

Repeat with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (- 5, 1)

m = \frac{1-5}{-5+2} = \frac{-4}{-3} = \frac{4}{3} ← point (- 5, 1) is not on the line

Repeat with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (1, 1)

m = \frac{1-5}{1+2} = - \frac{4}{3} ← point (1, 1) is not on the line

Thus the point on the line is (6, - 1 ) → A

4 0
3 years ago
Solve the inequality:<br> p/-4 - 1 &gt; 1
Neporo4naja [7]

Answer: p < -8

Step-by-step explanation:

5 0
3 years ago
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