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s344n2d4d5 [400]
3 years ago
6

Determine the type and number of solutions of −4x2 − 3x + 7 = 0.

Mathematics
1 answer:
Kaylis [27]3 years ago
7 0

Answer:

Step-by-step explanation:

You have to use the discriminant for this. If the quadratic is -4x^2-3x+7, then

a = -4, b = -3, and c = 7. The formula for finding the discriminant is

D=b^2-4ac which comes from the quadratic formula, but without the square root sign. Filling in:

D=(-3)^2-4(-4)(7) which simplifies down to

D = 9 + 112 so

D = 121. This is a perfect square, so the solutions will be 2 real. Just so you know, you will NEVER have a solution like the one offered in the third choice down. If you have one imaginary root, you will ALWAYS have a second by the conjugate rule.

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Given the following system of equations: -4x+8=16, 2x+4y=32 what action was completed to create this new equivalent system of eq
castortr0y [4]

The equation (1) is divided by 2 to create new equivalent system of equations.

Step-by-step explanation:

The given systems of equations are:

-4x+8y=16\,\,\,(1)\\2x+4y=32\,\,\,(2)

Considering 8y instead of 8 in eq(1)

We need to identify  what action was completed to create this new equivalent system of equations? -2x+4y=8, 2x+4y=32

Comparing given equations we came to know that equation(1) is divided by 2 to get the new equation i.e

-4x+8y=16\\Divide\,\,by\,\,2:\\-2x+4y=8

While second equation is same as given.

So, The equation (1) is divided by 2 to create new equivalent system of equations.

Keywords:System of Equation

Learn more about System of Equation at:

  • brainly.com/question/9045597
  • brainly.com/question/13168205
  • brainly.com/question/2115716

#learnwithBrainly

4 0
2 years ago
Help please!! Solve for y.
Nimfa-mama [501]

Answer:

y = 3\sqrt{7}

Step-by-step explanation:

The 2 right triangles inside the right triangle are similar, then ratios of corresponding sides are equal, that is

\frac{y}{9} = \frac{7}{y} ( cross- multiply )

y² = 63 ( take the square root of both sides )

y = \sqrt{63} = 3\sqrt{7}

7 0
2 years ago
Suppose an apple picker in China earns an average wage of 45 cents per hour. An apple picker can harvest about 2.0 bushels of ap
Eduardwww [97]

Answer:

0.0398 dollars

Step-by-step explanation:

We are told in the question that

An apple picker in China earns an average wage of 45 cents per hour.

Mathematically

1 hour= 45 cents............ Equation 1

An apple picker can harvest about 2.0 bushels of apples each hour.

Mathematically

2.0 bushels = 1 hour ..............Equation 2

We are told that each bushel contains about 126 apples

1 bushel = 126 apples

2 bushels =

126 × 2

= 252 apples

Combining Equation 1 and 2 together,

We can say

An apple picker in 1 hour harvests 2 bushels of apples which is 252 apples and is paid 45 cents

1 hour = 2 bushels of apples

1 hour = 252 apples

1 hour = 45 cents

Hence we can say fro harvesting 252 apples, an apples picker is paid 45 cents

Mathematically,

252 apples = 45 cents

One gallon of apple juice requires 40 apples

We are to calculate the labor cost of one gallon of apple juice in dollars

If : 252 apples = 45 cents

40 apples = X cents

Cross Multiply

40 × 25 = 252 × X

X = (40× 25) ÷ 252

X = 3.984063745 cents

Hence the labor cost of 40 apples = 3.984063745 cents

Approximately = 3.98 cents

Converting 3.98 cents to dollars

100 cents = 1 dollar

3.98 cents =

= 3.98/100

= 0.0398 dollars.

Therefore, the labor cost of one gallon of apple juice in dollars is 0.0398 dollars.

8 0
3 years ago
How are unlike fractions identified
dlinn [17]
When the terms do not have the same number or the other vaue, it must be given in your maths book,chapter related to fractions
7 0
3 years ago
Read 2 more answers
The school's basketball team lost 4 times as many games as they won. They also tied 5 fewer games than they won.
jekas [21]
Let w won games, t tied games, s lose games

s=4w

t=w-5

s+t+w=43

4w+(w-5)+w=43

6w=48

w=7

s=4*7=21 games lost
7 0
3 years ago
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