MATHEMATICS HIGH SCHOOL

What are the approximate solutions of 2x2 − 7x = 3, rounded to the nearest hundredth?A: No real solutions
B: x ≈ −0.77 and x ≈ 7.77
C: x ≈ −0.39 and x ≈ 3.89
D: x ≈ −3.89 and x ≈ 0.39

Answers

Answer 1
Answer:

Answer:

Option C is the correct option.

Step-by-step explanation:

The given equation is 2x² - 7x - 3 = 0

In this quadratic equation we will use quadratic formula to get the roots of x.

x=\frac{-b\pm \sqrt{b^(2)-4ac}}{2a}

By putting values of a = 2, b = -7 and c = -3 in the quadratic formula

x=\frac{7\pm \sqrt{(-7)^(2)-4* 2* (-3)}}{2* 2}

=(7\pm √(49+24))/(4)

=(7\pm √(73))/(4)

Now we get two values for x

x=(7+√(73))/(4)

=(7+8.54)/(4)=3.89

and x=(7-√(73))/(4)

=(7-8.54)/(4)

=-(1.54)/(4)=-0.39

Therefore option C. is the answer.
Answer 2
Answer:

The approximate solutions of equation 2x² - 7x = 3 are,

C: x ≈ −0.39 and x ≈ 3.89

We have to given that,

An expression is,

⇒ 2x² - 7x = 3

Now, We can find the approximate solutions of equation as,

⇒ 2x² - 7x = 3

⇒ 2x² - 7x - 3 = 0

By using quadratic formula, we get;

⇒ x = - (- 7) ± √(- 7)² - 4×2×- 3 / (2×2)

⇒ x = (7 ± √49 + 24) / 4

⇒ x = (7 ± √73) / 4

⇒ x = (7 ± 8.5) / 4

This give two solutions,

⇒ x = (7 - 8.5) / 4

⇒ x = - 1.5 / 4

⇒ x = - 0.39

⇒ x = (7 + 8.5) / 4

⇒ x = 15.5 / 4

⇒ x = 3.89

Therefore, The approximate solutions of equation 2x² - 7x = 3 are,

C: x ≈ −0.39 and x ≈ 3.89

Learn more about the quadratic equation visit:

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What is the simplified form of the equation fraction 3 over 5 n minus fraction 4 over 5 equals fraction 1 over 5 n?n = −1
n = 2
n = fraction 5 over 3
n = fraction 5 over 2

Answers

n = fraction 5 over 3

Explanation;
(3)/(5)n- (4)/(5)= (1)/(5) n
Eliminate the demominator by multiplying each term by 5.
3n-4=1
3n=5
n=(5)/(3)

Answer:

n = 2

Step-by-step explanation:

3/5n - 4/5 = 1/5n

3/5(2) - 4/5 = 1/5(2)

6/5 - 4/5 = 2/5

^^^^^^^^^^^^^^^^

Correct? Yes.

Which best describes this quadrilateral? A.
Opposite sides are parallel.

B.
Only one pair of sides is parallel.

C.
All angles have the same measure.

D.
All sides are a different length.

Answers

Answer:

B. only one pair of sides is parallel

Step-by-step explanation:
B. only one pair of sides is parallel

A data set is normally disturbed. As data points are removed from both ends of the range, what happens to the display of data?

Answers

Answer: The display becomes skewed left.

Step-by-step explanation:

If the function f(x) = mx + b has an inverse function, which statement must be true?

Answers

f(x) = mx + b is just equal to the equation
y = mx + b

In order for us to get the inverse function, then we can interchange x to y and y to x
y = mx + b
x = my + b

Then we need to find y
x = my + b
-my = -x + b
my = x - b
y = (x-b) / m
f(x) = (x - b) / m

Answer:

m ≠ 0

Step-by-step explanation:

Identify all of the expressions that simplify to −7/8.2 1/2 ÷ -7/20
______________

-1 2/5÷ -1 3/5
_____________
4 ÷ −4 4/7
_____________
−7/10 ÷ 4/5

Show your work pls

Answers

5/2 ÷ 7/10
5/2 x 10/7
50/14; 25/7; Answer: 3 4/7

-7/5 ÷ -8/5
-7/5 x 5/8
-35/40
-(-35/40)
-(-7/8). Answer: 7/8


-7/10 x 5/4
-35/40
-7/8. Answer: -7/8


Hoped this helped

At the beginning of this month, the balance of Agatha's checking account was $782.39. So far this month, she has received a paycheck via direct deposit of $932.48, been charged a monthly service fee from her bank of $20.00, used a debit card linked to her account to make a purchase of $36.82, written a check for $155.03 that has already been deposited, and deposited a check written to her for $79.13. What is the current balance of Agatha's checking account?

Answers

Agatha started out the month with $782.39 cents. After she received her paycheck, she had a balance of $1,714.87. Agatha then had a service fee and few purchases which left the total at $1503.02. She then had an additional check written to her for $79.13. The current balance after her last deposited check was $1,582.15.

Answer: $1582.15

Step-by-step explanation:
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