Solve using the Quadratic Formula
5x2-3x-7=0
A)
B)
C)
D)

Solve Using The Quadratic Formula 5x2-3x-7=0A)B)C)D)

Answers

Answer 1

Answer:

C) [tex]\displaystyle x=\frac{3 \pm \sqrt{149}}{10}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

5x² - 3x - 7 = 0

a = 5, b = -3, c = -7

Step 2: Solve for x

Substitute in variables [Quadratic Formula]:                                                  [tex]\displaystyle x=\frac{3 \pm \sqrt{(-3)^2-4(5)(-7)}}{2(5)}[/tex][√Radical] Evaluate exponents:                                                                       [tex]\displaystyle x=\frac{3 \pm \sqrt{9-4(5)(-7)}}{2(5)}[/tex][√Radical] Multiply:                                                                                           [tex]\displaystyle x=\frac{3 \pm \sqrt{9+140}}{2(5)}[/tex][√Radical] Add:                                                                                                 [tex]\displaystyle x=\frac{3 \pm \sqrt{149}}{2(5)}[/tex][Fraction] Multiply:                                                                                            [tex]\displaystyle x=\frac{3 \pm \sqrt{149}}{10}[/tex]

Related Questions

65 +5.2(hour) which is the y-intercept

Answers

Answer:

65

Step-by-step explanation:

y = mx + b

b is the y-intercept

y = 5.2h + 65

65 is the y-intercept

The answer is 65 look above for an explanation. ^^^^

When graphing the coordinate (3,4) you would...

A. first move 3 coordinates up the y axis and then 4 coordinates over the the x axis

B. first move 3 coordinates over on the x axis and then 4 coordinates up the y-axis

Answers

The answer is B

You would first move 3 coordinates over on the x axis and then 4 coordinates up the y axis.

R of breaths of all people in asia in 2016? Expressing your answer in scinentific notation in the form a *10^(b) what are the values of a and b?

Answers

Answer:

[tex]a = 3.7464[/tex]

[tex]b = 16[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Express the answer in [tex]a * 10^b[/tex]

From the question, we have:

[tex]People = 4.46 * 10^9[/tex]

[tex]Breath = 8.4 * 10^6[/tex] breath/person in a year

The number of breath is calculated by:

[tex]Overall = People * Breath[/tex]

So, we have:

[tex]Overall = 4.46 * 10^9 * 8.4 * 10^6[/tex]

Reorder

[tex]Overall = 4.46 * 8.4* 10^9 * 10^6[/tex]

[tex]Overall = 37.464* 10^{9+6}[/tex]

[tex]Overall = 37.464* 10^{15}[/tex]

Using scientific notation [tex]a * 10^b[/tex];

The value (a) must be in the following interval [tex]0 \le a \le 1[/tex]

So, we have:

[tex]Overall = 3.7464 * 10 * 10^{15[/tex]

[tex]Overall = 3.7464 * 10^{16[/tex]

By comparing the above with: [tex]a * 10^b[/tex]

[tex]a = 3.7464[/tex]

[tex]b = 16[/tex]

What are the solutions of the equation (x – 8)2 = 144?

Enter your answer as the correct values, separated by a comma, like this: 42,53

If your answer includes a fraction, use the / symbol.
enter it like this: 3/14

Answers

[tex]x = 80[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex](x - 8)2 = 144 \\ ⇢ 2x - 16 = 144 \\ ⇢ 2x = 144 + 16 \\ ⇢ 2x = 160 \\ ⇢ x = \frac{160}{2} \\ ⇢ x = 80[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{To\:verify }}{\orange{:}}}}}[/tex]

[tex]2x - 16 = 144 \\ ➵ \: 2 \times 80 - 16 = 144 \\ ➵ \: 160 - 16 = 144 \\ ➵ \: 144 = 144 \\ ➵ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Find the equation of the line passing through the point (-6,4) that is perpendicular to the line 5x+3y=5

Answers

9514 1404 393

Answer:

  3x -5y = -38

Step-by-step explanation:

The equation of the perpendicular line can be formed by swapping the coefficients of x and y in the given equation, negating one of them. The new constant will be the one that lets the given point satisfy the equation.

  given: 5x +3y = 5

  perpendicular: 3x -5y = constant

At the given point, the constant is ...

  3(-6) -5(4) = -18 -20 = -38

So, the desired equation is ...

  3x -5y = -38

Help I need answers fast!

Answers

Hope this helps! This is steps on how to complete it & answer at bottom

Answer question b and c


Question b: find the value of x


Question c: find the value of y

Answers

Value y = 22

sin60 = y/25
y = sin60(25)
y = 21.6
y ≈ 22

23/147 yd × 3/14 after reducing them by a factor of 2/147 what are the original dimensions of the playground in yards? Write your answer with mixed numbers

Answers

Answer:

So the dimensions are 11 1/2 yds × 15 3/4 { 11 whole number 1 by 2 yards multiplied by 15 whole number 3 by 4}

Step-by-step explanation:

Here multiplicative property will be used .

a*1/a= 1

1* a/1= a   ( reciprocal)

23/147 yd × 3/14 will be multiplied with the reciprocal of the factor 2/147 to

get the original number.

23/147 yd*147/2 × 3/14*147/2

23/2 yds  × 441/28

11 1/2 yds × 15 3/4

So the dimensions are 11 1/2 yds × 15 3/4  11 whole number 1 by 2  multiplied by 15 whole number 3 by 4.

Sophie caught twice as many fish as her
dad. If her dad caught Ffish, how many
fish did Sophie catch?
A. F + 2
B. F-2
C. Fx 2
D. F/2

Answers

Answer:

C. F × 2

Step-by-step explanation:

Twice as many infers multiplication. Since Sophie caught twice as many as her dad, then we would multiply the number of her dad's caught fish by 2. The question states her dad's caught fish is represented by variable F so it would be:

F × 2

What number is 48 out of 250%

Answers

Answer:

120

Step-by-step explanation:

reduce the fraction from

[tex]48 \times \frac{250}{100 } [/tex]

to

[tex]48 \times \frac{5}{2} [/tex]

then multiply and you get 24 × 5 which is 120

(6x2 -5x + 10) - (2x2 -x +13)

Answers

Answer:

-4x + 5 ?

sorry if wrong

PLEASE HELP, THANKS SO MUCH!! EXPLAIN UR ANSWER = BRAINLIEST

Answers

Answer:

2571.14 m^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

The diameter is 17 so the radius is 1/2 of the diameter or 17/2 =8.5

V = 4/3 (3.14) (8.5)^3

 = 2571.13666

Rounding to the nearest hundredth

 = 2571.14 m^3

Answer:   2571.14

=================================================

Work Shown:

V = (4/3)*pi*r^3

V = (4/3)*3.14*(8.5)^3

V = 2571.13666666667 which is approximate

V = 2571.14

-------------

Notes:

The units for the volume are in cubic meters, or m^3. Think of a 1 m by 1 m by 1 m block, the volume of which is 1*1*1 = 1 m^3.The diameter is 17 meters, half of which is 17/2 = 8.5 meters. So the radius is r = 8.5In the second to last line, the '6's go on forever. It's only due to rounding is why that '7' shows up.The answer above is approximate because pi = 3.14 is approximate. Use more decimal digits in pi to get a more accurate volume. However, your teacher wants you to use pi = 3.14

in a bag of keys there are 15 silver keys six black keys 11 copper keys and two painted keys of various colors. one key is drawn what is the probability that the key is silver or copper

Answers

Answer:

The best thing to do here is to put each of these into fractions, with the total (31) as the denominator.

14/31= silver

6/31= black

8/31= copper

3/31= various colours.

As you're looking for the keys that are silver or copper, you've got to add the two denominators together, which gives you 14+8= 22.

This cannot be simplified further, therefore, the probability of choosing either a silver or copper key is 22/31.

Hope this answer helps you :)

Have a great day

Mark brainliest

7.


A. [tex]y=\frac{1}{3}x^2, y=-9x^2, y=-\frac{1}{2}x^2[/tex]

B. [tex]y=-\frac{1}{2}x^2, y=\frac{1}{3}x^2, y=-9x^2[/tex]

C. [tex]y=-9x^2, y=\frac{1}{3}x^2, y=-\frac{1}{2}x^2[/tex]

D. [tex]y=\frac{1}{3}x^2, y=-\frac{1}{2}x^2, y=-9x^2[/tex]

Answers

Answer:

D

Step-by-step explanation:

Which is the equation for the graph of the limacon curve below?
[-5,5] by [-5,5]

Answers

Answer:

Answer is D.

Step-by-step explanation:

The Equation of the Graph is r= 1 + 3 sinФ .

What is Graph for Polar Coordinates?

The three crucial trigonometry ratios on which functions are defined are sine, cosine, and tangent. The graphs for the three trigonometric functions sin, cos, and tan are shown below. In these trigonometry graphs, the y-axis represents the value of the function at each given angle, while the x-axis represents the angle values in radians.

here, we have,

Given:

The Graph for each function is Attaches Below.

The graph represented here shows the function r= 1 + 3 sinФ .

The graph for, r= 1 + 3 cos   have the vertical graph.

and, the graph for, r= 2+ 2 sinФ    have the Circular graph.

and, the graph for, r= 3 +  sinФ    have the Circular graph.

Learn more about Graph for Polar Coordinates here:

brainly.com/question/13016730

#SPJ7

What is the length of the hypotenuse?

A. 10
B. 14
C. 48
D. 100

Answers

Option A= 10

Process

Using Pythagoras Theorem,

8²+6²= (hypotenuse)²

64+36= (hypotenuse)²

(hypotenuse)²= 100

hypotenuse= √100

hypotenuse= 10

So Option A= 10

Hope This Helps You ❤️

Answer:

The hypotenuse is A. 10.

Step-by-step explanation:

To find the length of hypotenuse we can use  the pythagoras theorem formula:

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]=>6^{2} +8^{2} = c^{2}[/tex]

[tex]=> 36 + 64 = c^{2}[/tex]

[tex]=> 100 =c^{2}[/tex]

[tex]=> c = \sqrt{100}[/tex]

∴ [tex]c[/tex] [tex]= 10[/tex]

How many ways are there to fill the four committee positions?

Answers

Answer:

3 ways

Step-by-step explanation:

since the lowest # of people interested in a position is 3, there can only be 3 different ways to fill an entire 4-person committee

Donna buys a roast that weighs 5.6 pounds and costs $2.25 a pound. Find the amount she pays.

Answers

Answer:

Donna will have to pay $12.60 for the roast

Step-by-step explanation:

I found this by doing 5.6 × 2.25 and that equals 12.6

pls mark me brainliest

5.6 x 2.25 = $12.60 is the amount she pays

I don’t know how to do this

Answers

Answer:

x-10

Step-by-step explanation:

margo has 6 square tiles of equal size. each side of each tile is 0.8 inch long. if margi places all the tiles in a row with sides touching, how long is the row?

Answers

༆PROBLEM:

—————————————————

Margi has 6 square tiles of equal size. each side of each tile is 0.8 inch long. If Margi places all the tiles in a row with sides touching, how long is the row?

༆SOLUTION:

—————————————————

[tex]\mathrm{N = 6×0.8 \: inch}[/tex]

[tex]{\boxed{\mathrm\green{N = 4.8 \: inch}}}[/tex]

༆ANSWER:

—————————————————

[tex]\purple{\boxed{\boxed{\tt\pink{➢4.8 \: inch}}}}[/tex]

If Margi places all the tiles in a row with sides touching, the row will be 4.8 inch long!

The spinner shown has congruent sections. The spinner is spun 63 times. What is a reasonable prediction for the number of times the spinner will land on a section that is shaded red?​

Answers

Answer:

36 times

Step-by-step explanation:

Given

[tex]Red = 4[/tex]

[tex]Total = 7[/tex]

[tex]n = 63[/tex]

See attachment

Required

Predicted number of times to land on red

First, we calculate the probability of landing on red

[tex]Pr = \frac{Red}{Total}[/tex]

[tex]Pr = \frac{4}{7}[/tex]

The predicted number of red is the =n calculated as:

[tex]Red = Pr * n[/tex]

[tex]Red = \frac{4}{7}*63[/tex]

[tex]Red = 4 * 9[/tex]

[tex]Red = 36[/tex]

pleasee helppppp im so close to being done and this is my last day !!

Answers

ANSWER FOR UR QUESTION!

Graph

Find f(f(x))

Describe the Transformation

Find the Domain of the Composition f(f(x))

Solve for x

Solve the System of Equations

Find the Area Between the Curves

Solve by Graphing

sr nie wiem o co chodzi ale muszę to zrobić do 18 pani od korków mi tak przysłała lol. DAJE NAJ !!!

Answers

Answer:

(1/2)^2= 0.25 thank you

Please help,
Find the area of the figure

Answers

Answer:

54

Step-by-step explanation:

I think it's 54

i need the answer today thank you !

Answers

Answer:21

Step-by-step explanation:

Answer:

Im pretty sure its 21

Step-by-step explanation:

21

Im sorry if its wrong

Ryan invested $5,900 in an account paying an interest rate of 5% compounded
monthly. Assuming no deposits or withdrawals are made, how much money, to the
nearest cent, would be in the account after 11 years?

Answers

Answer:

10214.51

Step-by-step explanation:

5900 * (1+ (0.05/12))^(12*11)

please give brainliest

Answer:

10214.51

Step-by-step explanation:

Jackie And her friends of their favorite organization. Jackie received four times the votes warren received .there were 200 ballots cast how many votes did Jackie receive

Answers

Answer:

800

Step-by-step explanation:

PLEASSE HELP MEEE!!!!!!1

Answers

Answer:

2 cuts

Step-by-step explanation:

Get the height of the tree first

Using SOH CAH TOA identity;

Sin theta = opp/hyp

Sin 70 = /6

H = 6sin70

H = 6(0.9397)

H = 5.6381

Hence the height of the tree is 5.64m

Initial cut = 4m

Remaining height of trunk = 5.64 - 4 = 1.64

This means that he only need to make 2 cuts to cart the whole tree away

when did the united states get it independence​

Answers

Answer:

4th July 1776

Step-by-step explanation:

4th July is marked as independence day

In 1776 ...................

Find the midpoint M of CD
M = (x, y
C = (-2,-10) D = (-6,0)
M = ([?],[ ]
Enter the number that belongs in the green box.
Enter
Any answers???

Answers

Answer:

(-4,-5)

Step-by-step explanation:

Given :

M ( x,y) C ( -2,-10)D (-6,0)

[tex] \implies[/tex] Midpoint = ( -2-6)/2 , (-10+0)/2

[tex] \implies[/tex] M = ( -8/2 , -10/2 )

[tex] \implies[/tex] M = (-4 , -5)

Hence the midpoint is (-4,-5) .

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