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aivan3 [116]
3 years ago
8

Explain how you can determine the number of real number solutions of a system of equations in which one equation is linear and t

he other is quadratic–without graphing the system of equations.
Mathematics
1 answer:
Assoli18 [71]3 years ago
3 0

Answer:

To determine the number of real number solutions of as system of equations in which one equation is linear and the other is quadratic

1) Given that there are two variables, x and y as an example, we make y the subject of the equation of the linear equation and substitute the the expression for y in x into the quadratic equation

We simplify and check the number of real roots with the quadratic formula, x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a} for quadratic equations  the form 0 = a·x² - b·x + c

Where b² > 4·a·c there are two possible solutions and when b² = 4·a·c equation there is only one solution.

Step-by-step explanation:

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10 10 times as much as what
Liono4ka [1.6K]

Answer:

100

Step-by-step explanation:

10x10

10 times 10 is equal to 100.

5 0
4 years ago
60 points on the line! If you can do this paper! Only 2 questions!
Stolb23 [73]
So y=mx+b
the 'm' part means the slope which is found by 'rise/run'
a. y=2x+3 or y=2x+3
b. y=-1x+6
c. i'm not sure what this part means
d. this means 'what values will work for x and y in both equations at once so
y=-x+6 and y=2x+3
y=-x+6
add x to both sides
x+y=6
subtitute 'y=2x+3' for y in x+y=6
x+(2x+3)=6
collect like terms
3x+3=6
subtract 3 from both sides
3x=3
divide both sides by 3
x=1
sibtitue into x+y=6
1+y=6
subtract 1 from both sides
y=5

(1,5) is the solution (x,y)


Question 2
so amount of peanuts (x) =60%
ammount of almonds (y)=40%
y=2(1/3x) or y=2/3x
so there is a mixture that is8/10 almonds
for
a. i'm not sure about this one
b. so 60% of 5 pounds=3 pounds
40% of 5 pounds=2pounds
we need to find out how many pounds, times 8/10, = 2pounds

 she will need 2.5 pounds of the pure peanuts and 2.5 pounds of the almond-peanut mixture
3 0
3 years ago
Kevin sells boxes of cookies for$4 each. Laura sells boxes of cookies for $6each. each of them sold the same dollar amount. It w
kvv77 [185]

Answer:

1. $12

2. 3 boxes

3. 2 boxes

Step-by-step explanation:

1. You first need to find the dollar amount each of them sold. To do this, you need to find the lowest common multiple for 4 and 6. The lowest common multiple is 12.

2.  Kevin sells boxes of cookies for $4 each so, you need to find the value of  X in this equation: 4 . X = 12. The value of X is 3.

3. Laura sells boxes of cookies for $6 each so we need to find the value of X in this equation: 6 . X = 12. X = 2 because that is the only answer that makes since.

7 0
3 years ago
What is the equation of a line with slope 4 and intercept 12?
nadezda [96]

Answer:

y = 4x + 12

General Formulas and Concepts:

<u>Algebra I</u>

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

Slope <em>m</em> = 4

y-intercept <em>b</em> = 12

<u>Step 2: Write function</u>

  1. Substitute [Form]:          y = 4x + 12
5 0
3 years ago
Write an expression that represents “the difference of 8 and n”
scoray [572]

“the difference of 8 and n”

<h2>8 - n</h2>
6 0
3 years ago
Read 2 more answers
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