Mathematics High School

Solve the equation by using quadratic formula . Show your work! Answer maybe in radical or decimal form .

2x^2 + 4x – 5 = 0

Answers

Answer 1

Answer:

[tex]x_1=\frac{-2+\sqrt{14}}{2}\approx 0.871,x_2=\frac{-2-\sqrt{14}}{2}\approx-2.871[/tex]

Step-by-step explanation:

[tex]2x^2+4x-5=0[/tex]

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\frac{-4\pm\sqrt{4^2-4(2)(-5)}}{2(2)}[/tex]

[tex]x=\frac{-4\pm\sqrt{16+40}}{4}[/tex]

[tex]x=\frac{-4\pm\sqrt{56}}{4}[/tex]

[tex]x=\frac{-4\pm2\sqrt{14}}{4}[/tex]

[tex]x=\frac{-2\pm\sqrt{14}}{2}[/tex]

[tex]x_1=\frac{-2+\sqrt{14}}{2}\approx 0.871,x_2=\frac{-2-\sqrt{14}}{2}\approx-2.871[/tex]

Related Questions

The population of the bacteria triples each hour. Initially, there are 20 bacteria in the lab. Find the number of bacteria at the end of 5th hour
1620
4500
4860
5000

Answers

Answer:

4860

Step-by-step explanation:

Get the product of twenty and three, then multiply that to three again, repeat this for three more times.

7
Which of the following representions are functions?
2
I. {(0,9), (3, 12), (-5, 10), (5, 10)}
II. y = x2 + 10
Х
10
-1
10
8
-2
III.
y
5
8
-5
-9
-4
O Tonly
+
O II only
o I and II only
O I, II, and III

Answers

Answer:

1,11,111 I don't know how I know it I just know it

Enter your answer in the box.
What is the value of x?

Answers

Based on the shape and the angles already given in the diagram, the value of x must be 80°

The interior angles of a triangle must always add up to 180°

This means that the value of x is:

180 = 70 + 30 + x

180 = 100 + x

x = 180 - 100

x = 80°

In conclusion, x is 80°.

Find out more about the interior angles of a triangle at https://brainly.com/question/7888180.

K minus 10 over 2 = -7

Answers

Hey there!

k - 10/2 = -7

k - 5 = -7

ADD 5 to BOTH SIDES

k - 5 + 5 = -7 + 5

CANCEL out: -5 + 5 because that gives you 0

KEEP: -7 + 5 because it helps solve for the k-value

NEW EQUATION: k = -5 + 7

SIMPLIFY IT & YOU HAVE YOUR ANSWER!

k = -2

Therefore, your answer is: k = -2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)


Given f(x) = 2x2 – 9x+2, g(x) = 1 – 6x, and
h(x) = x² – 4, find the following function:
=
(hof)(x)

Answers

Answer:

2×2=4

9x+2=11x

1-6x=4x

x²-4=16

=16¹⁵x


Brainliest reward need brief working out

Answers

Answer:

  1. 125 cm³; 88.8 cm³; 1650 cm³; 0.11 m³

  2. about 1.47 kg

  3. can't tell what the volume of 1 jar is

Step-by-step explanation:

The relationship between volume, mass, and density is ...

  mass = volume × density

Solving for volume, we find ...

  volume = mass ÷ density

__

(a) 50 g/(0.4 g/cm³) = 125 cm³

(b) 770 g/(8.67 g/cm³) ≈ 88.8 cm³ . . . (rounded to 3 significant figures)

(c) 4000 g/(2.42 g/cm³) ≈ 1650 cm³ . . . (rounded to 3 significant figures)

(d) 80 kg/(720 kg/m³) ≈ 0.11 m³ . . . (rounded to 2 significant figures)

_____

The volume of the cylinder is ...

  V = πr²h

  V = π(4 cm)²(15 cm) = 240π cm³ ≈ 754.0 cm³

Using the above relation, we find the mass to be ...

  mass = (754.0 cm³)(1.95 g/cm³) ≈ 1470 g = 1.47 kg

_____

We cannot tell if the volume of each jar is 360 liters, or if that is the total volume of all 6 jars. Either way, we suspect a units problem, as the jars would have to be extremely large and unusually thin relative to what we usually think of as a jar for jam (0.77 m diameter; 0.2 mm thick). The density of the jam would be roughly 10 times the density of air, if that is the volume of all 6 jars. The problem would be more sensible if the units of volume were mm³, and the given volume is that of one jar.

The mass of jam in one jar is (5400/6 -200) = 700 g. Divide that by what you think the volume of one jar is in cm³ to find the density in g/cm³. (For comparison, the density of air is about 0.0012 g/cm³.)

_____

Additional comment

We have rounded the answers to 2 or 3 significant figures. In most cases, this is more than would be justified by the number of significant figures in the given measurements. For purposes of ongoing calculations, it is useful to keep intermediate results to at least 1 more significant figure than required for the answer.

HELP!!!! I WILL GIVE 100 POINTS!

Answers

Answer:

x = 17y = 18

Step-by-step explanation:

8x - 17 + 3x + 10 = 180 => 11x - 7 = 180=> 11x = 187=> x = 187/11=> x = 17=> 8(17) - 17 = 6y + 11=> 136 - 17 - 11 = 6y=> 108 = 6y=> y = 18

Conclusion:

Therefore:

x = 17y = 18

Hoped this helped.

[tex]GeniusUser[/tex]

order 2⁹, 5.9 × 10², 9³, 5⁴, 6.81 × 10¹ from least to greatest​

Answers

Answer:

2^9=512

5.9*10^2=590

9^3=729

5^4=625

6.81*10=68.1

6.81 × 10¹, 2⁹, 5.9 × 10²,  5⁴, 9³

what is the reasoning of 9 +10 is 21?

Answers

The correct answer is 19

Answer:

the reasoning is incorrect.

Step-by-step explanation:

9+10=19.

[tex]\sf -(6-4x)[/tex]

Answers

Answer:

[tex] - (6 - 4x) = - 6 + 4x[/tex]

Answer:

[tex]-6+4x[/tex]

Step-by-step explanation:

[tex]-(6-4x)[/tex]

[tex]\mathrm{Distribute\:parentheses}[/tex]

[tex]=-\left(6\right)-\left(-4x\right)[/tex]

[tex]\mathrm{Apply\:minus-plus\:rules}[/tex]

[tex]-\left(-a\right)=a,\:\:\:-\left(a\right)=-a[/tex]

[tex]=-6+4x[/tex]

5 3/4 times 1 3/4 and simplified

Answers

Answer:

I believe the answer will be 27/3

what does 2/6 - 6/12 equal in fractions pleeeeeaaaase.

Answers

2/6 - 3/6 = -1/6
Because you would divide 6/12 by 2 on each number

Answer: -1/6

You can multiply 2/6 by 2 to get 4/12 which you can subtract from 6/12.

4/12 - 6/12 = -2/12 which you can simplify further to get -1/6

If Sue worked 28 hours this week and made $172 in tips, how much did her weekly pay
exceed what she would have made with minimum wage?

Answers

Do 178 times 28 which equals 4,984 then you do 4,984 decided by 7 which equals 712 because there are 7 days a week. So the answer is 712.

Answer: 28 hours over 172$ that mean 6.14 per hour

so 257.88$ minimum for 42 hours

Step-by-step explanation:

28 hours over 172$ that mean 6.14 per hour

so if we say she work in one day 6 hours that mean in one weak 42 hours

so 42*6.14=  257.88 $

Solve the inequality. Graph the solution 3x <-5/4 I just need help on graph

Answers

Step-by-step explanation:

Solution is already given:

3x  ≤ - 5/4x ≤ -5/12

Graph the inequality:

1. Select the point - 5/12 on the number line. Count 5 dots starting from zero going left. It is already divided by 12 parts.2. Make it full dot3. Add a line to the left from the dot

And you are done

3x≤-5/4x≤-5/12

So Graph it

Put a close dot on -5/12 as it's ≤ sign givenThen draw a arrow left wards as x is less than the close dot

Which ordered pair is a solution to the equation? 3x-4y=13

A, (3, 1)
B. (3, -1)
C. (-1, 3)
D. (1, 3)



Need asap (will give brainliest to the best answer*

Answers

The correct answer is B
When you put the values of x and y in the equation

3(3) - 4(-1) = 13

9 + 4 =13

13=13 (correct answer)

When you try putting the rest of the values in the equation the answer doesn’t match ,hence ,the correct answer is B.I hope I get the brainliest answer!

120% of what number is 102

Answers

Answer:

122.4 i think

Step-by-step explanation:

What is the exact value of sin(-5 π/3)

Answers

Answer:

√3/2 is the correct answer. I hope this helps ^^

Step-by-step explanation:

Write a simplified polynomial expression in standard form to represent the area of the rectangle below.
X - 4
5X + 2

Answers

Step-by-step explanation:

i think is this the answer

5×-4=-20

-20+2=18

41 - 17=
i know it's 28 but i can't really do math

Answers

it’s 24 you can use a calculator
41 - 17 = 24
Ok done. Thank to me :>

where is the √ 125 on a number line​

Answers

Answer:

im 11  and

Step-by-step explanation:

i just need points i have -32

If ab =12 and a²+b²=25, then (a+b)²= ? ​

Answers

Recall that

(a + b)² = a² + 2ab + b²

Then

(a + b)² = 25 + 2•12 = 49

HELP ME GUYS PLEASE ! :)

Answers

in order:

y=6

y=16

y=26

y=31

When r= 1 , h=2.4 find r in terms of h

Answers

Answer:

r= 5/12 h

Step-by-step explanation:

r/h = 1/2.4

r =[tex]\frac{10}{24}[/tex]h

r=[tex]\frac{5}{12}[/tex]h

First person to answer CORRECTLY will get brainliest and extra points!!

Answers

Answer:

y=15

Step-by-step explanation:

Find the value of N the expression 24 : N = 12 : 17.
​

Answers

N=34
To solve this you figure out how they got the number 24 to be 12, in this case they divided by 2. So, to figure out what number divided by 2 equals 17, you multiply 17 by 2, which is 34.
I hope this helps, if you have any questions please feel free to ask! :)

Answer:

N = 34

Step-by-step explanation:

METHOD I

(hit and trial)

The given two ratios have to be equal.

This means, 24 : N must break down to 12 : 17 after dividing it by some common factor.

The common factor here is 2.

Since,

12 × 2 = 24

17 × 2 = 34

[tex] \boxed{\mathsf{ \underline{N \: must \: be \: 34}}}[/tex]

(after dividing the first ratio by 2(common factor) we get the second ratio. Meaning that they become equivalent as required by the question).

METHOD II

(mathematical approach)

Ratios can be written in form of fractions as:

[tex] \boxed{ \mathsf{ \frac{24}{N} = \frac{12}{17} }}[/tex]

Cross multiplying:

[tex] \implies \mathsf{24 \times 17 = 12 \times N }[/tex]

taking 12 to the denominator:

[tex] \implies \mathsf{ \frac{24 \times 17 }{12} = N }[/tex]

24 and 12 gets canceled and 2 takes up their spot

(why?

=> 24 ÷ 12 = 2)

[tex] \implies \mathsf{2 \times 17 = N } [/tex]

[tex] \implies \mathsf{2 \times 17 = N } [/tex]

[tex] \implies \mathsf{ N = 34 } [/tex]

[tex] \implies \mathsf{ N = 34} [/tex]

kayla and Jane helped Mr.John fit kids in the auditorium. There was 603 kids,and each row can fit 31 kids. How many rows do they need to use?​

Answers

Answer:

Around 19 rows

Step-by-step explanation:603/31= 19.40 so I'm not too sure

i need helpppppp jsjfisisocjkdiwkdbgjc

Answers

Answer:

Triangle

sum of interior = 180

one interior = 60

all triangles will have a sum of 180

and since there are only three angles in a triangle that means 180/3 = 60 degrees will be in one angle.

Could someone please solve this compound inequality?

Answers

[tex]\large\mathcal\red{Answer✓}[/tex]

Ans :- E...

I'm gonna go with answer choice B

Describe the solution set for the equation below.

−29+5x=5(x−5)


One Solution
One Solution

No Solution
No Solution

Infinitely Many Solutions

Answers

Pretty sure it’s infinitely many solutions

Can someone help me :

Answers

E is the answer I am pretty sure.
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