Solve the equation:
[tex]2 {x}^{2} + 7x - 3 = 0[/tex]

Answers

Answer 1

Answer:

[tex]delta = {7}^{2} - 4 \times 2 \times ( - 3) \\ = 49 + 24 = 73 \\ x 1= \frac{ - 7 + \sqrt{73} }{4} \\ x 2= \frac{ - 7 - \sqrt{73} }{4} [/tex]


Related Questions


Please help! And please serious answers only

Answers

Answer:

This is a quadratic function

write it in the form [tex]a(x-h)^2+k[/tex]

h and k is the vertex, meaning the coordinate that is lowest or highest point depending on where the function is...pointing. You can see that the function is point up, so h is the x coordinate is at the bottom. the vertex coordinate is (9, -4), im sure you know why. In the formula, h means the x and k is the y. So that means that the h is 9 and k is -4.

now the think will be  [tex]a(x-9)^2-4\\[/tex]

now you find a by plugging one of the point, you can take the point (12, 4)

[tex]a(12-9)^2-4=4\\9a=8\\8/9=a\\[/tex]

so the equation

[tex]8/9 (x-9)^2 -4[/tex]

Step-by-step explanation:

Please help this is my last question no links please

Answers

Answer:

i will say the second one

Step-by-step explanation:

Help please……………….yes or no 1,2,3,4,5

Answers

Answer:

Yes, yes, no, no, yes

Step-by-step explanation:

Answer:

yes ,yes, no ,no, yes here

The trapezoids given are similar. Find the value of x.

Answers

Answer:

[tex]x = 20[/tex]

Step-by-step explanation:

They are similar trapezoids, so that their corresponding sides are also similar.

[tex] \frac{24}{16} = 1.5[/tex]

So that

[tex] \frac{30}{x} = 1.5 \\ x = 20[/tex]

You randomly choose one shirt from the shelves.

Find the probability of the event.




The probability of choosing an orange shirt is

Answers

Answer:

umm I don't know you have to tell me more and I can find out what it is

Find the value of x. Round the length to the nearest tenth.


33 cm
4.1 cm
4.4 cm
11.3 cm

Answers

Answer:

4.4 =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan 20 = x/12

12 tan 20 = x

4.367642811=x

Rounding to the nearest tenth

4.4 =x

Answer:

4.4 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacent

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 20°

Opposite Leg = x

Adjacent Leg = 12 cm

Step 2: Solve for x

Substitute in variables [Tangent]:                                                                    [tex]\displaystyle tan(20^\circ) = \frac{x}{12}[/tex][Multiplication Property of Equality] Multiply 12 on both sides:                     [tex]\displaystyle 12tan(20^\circ) = x[/tex]Rewrite:                                                                                                             [tex]\displaystyle x = 12tan(20^\circ)[/tex]Evaluate:                                                                                                            [tex]\displaystyle x = 4.36764[/tex]Round:                                                                                                               [tex]\displaystyle x = 4.4[/tex]

Hiiiooo! Can someone please help ❤️

Answers

Answer:

B. √21

Step-by-step explanation:

x^2 = √5 x √5 + 4 x 4

x^2 = 5 + 16

x^2 = 21

x = √21

Hope that helps! :)

-Aphrodite

Answer:

im not entirely sure but the equation for your hypotenuse (x) is  [tex]\sqrt 5^{2} * 4^{2}[/tex]

which is 80 and the square root of 80 is 8.944 and that would be your hypotenuse

(i just realized that is completely wrong, sorry)

9. Todd takes out a student loan for $25,000. The annual simple interest
rate on the loan is 4.75%. How many years will it take for the interest on
the loan to reach $7,125?

Answers

Answer:6

Step-by-step explanation:

4.75% of 25000 is 1,187.5

Times 6 it's 7,125

Can someone help me

Answers

find a common rule that applies to every input->output

1. divide by 3

15/3=5

24/3=8

2. multiply by 9

2*9=18

6*9=54

3. add 12

10+12=22

15+12=27

4. subtract 7

32-7=25

36-7=29

5. divide by 7

14/7=2

35/7=5

6. add 13

13+13=26

15+13=28

if perimeter of square is 72cm find it length​

Answers

Answer:

18 cm each side

Step-by-step explanation:

Square has 4 sides. So, 72/4=18

18 cm each side

plz mark me as brainliest.

What is the y-coordinate of the solution of the system?
4x−y=−21

y = x + 6

Enter your answer in the box.

Answers

Answer:

x= -13, y= -7

Step-by-step explanation:

Hi, can anyone please help me?​

Answers

Answer:

Step-by-step explanation:

Cant see the whole graph but I'm pretty sure you just put A 3 dashes from 0, B 6 dashes from 0, and C 9 dashes from 0

what is the area of 3.46ft and 4ft

Answers

Answer: 13.84

Step-by-step explanation:

The formula is Length x Width (3.46 x 4) Hope this helps!

Which graph represents y=3 sqrt x?

Answers

Answer:

I would say graph D

Step-by-step explanation:

mark me Brainliest if correct

Answer:

d

Step-by-step explanation:

PLZZ HELP I WILL MODERATE SPAM ANSWERS AND I WILL GIVE BRAINLIEST
According to the boxplot shown below, what is the third quartile (Q3) value?

Answers

Answer:

49.0

Step-by-step explanation:

5. Some values of linear functions A and B are shown in the table and graph.
Function A
Function B
x y
0 1
11.25
21.5
3
1.75
42
Which of the following describes the y-intercepts of the two functions?
A. The y-intercept of Function A is equal to the y-intercept of Function B.
B. The y-intercept of Function A is 1 unit less than the y-intercept of Function B.
C. The y-intercept of Function A is 1 unit greater than the y-intercept of Function B.
D. The y-intercept of Function A is 2 units greater than the y-intercept of Function B.

Answers

The answer would be 3

The y-intercept of Function A is 1 unit greater than the y-intercept of Function B. Then the correct option is C.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Some values of linear functions A and B are shown in the table and graph.

Function A

x        y

0       1

1      1.25

2       1.5

3      1.75

4        2

The function A is passing through (0, 1), then the equation of the line will be

1 = 0m + c

c = 1

Then the equation of the function A will be y = mx + 1.

From, the graph, it is clear that the y-intercept of Function A is 1 unit greater than the y-intercept of Function B.

Then the correct option is C.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

What is the value of x in the diagram?

Answers

Answer:

65

Step-by-step explanation:

They are vertical angles; so angles are congruent

*Vertical angles are always congruent*

Congruent means equal or same.

1) Since they are congruent, you form an equation.

145 = 2x + 15

2) Solve by subtracting 15 from both sides.

145 = 2x + 15- 15            -15----------------------130 = 2x

3) Solve by dividing 2 from both sides

130/2 = 2x/2

4) Simplify

x = 65

HELP PLEASE!! Please don't give me sites or links, those won't work since the site is blocked

Answers

Answer:120

Explanation: the image shows it holding a 100,10, and another 10.
Add them all together to get 120.

Mario's dog has three puppies: Archie, Bailey, and Coco. Mario measures the weight of the puppies across several months. Then he represents their weight as a function of time. In all three functions, represents each puppy's weight in pounds and x represents the time in months.

Answers

Answer:

[tex]y = x+ 2[/tex] ---- Archie

[tex]y = \frac{3}{2}x + 3[/tex] --- Bailey

[tex]y = \frac{5}{4}x +2[/tex] --- Coco

Step-by-step explanation:

Given

See attachment for the representation

Required

Determine the function (i.e. equation) of each

Archie

Take 2 point from the line of the graph

[tex](x_1,y_1) = (0,2)[/tex]

[tex](x_2,y_2) = (12,14)[/tex]

Calculate slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{14 - 2}{12 - 0}[/tex]

[tex]m = \frac{12}{12}[/tex]

[tex]m =1[/tex]

Archie's equation is:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 1(x - 0) + 2[/tex]

[tex]y = 1(x) + 2[/tex]

[tex]y = x+ 2[/tex]

Bailey

[tex]y = \frac{3}{2}x + 3[/tex] --- Given

Coco

Take 2 point from the table

[tex](x_1,y_1) = (2,4.5)[/tex]

[tex](x_2,y_2) = (6,9.5)[/tex]

Calculate slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{9.5 - 4.5}{6 -2}[/tex]

[tex]m = \frac{5}{4}[/tex]

Coco's equation is:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = \frac{5}{4}(x - 2) + 4.5[/tex]

[tex]y = \frac{5}{4}x - \frac{5}{2} + 4.5[/tex]

[tex]y = \frac{5}{4}x - 2.5 + 4.5[/tex]

[tex]y = \frac{5}{4}x +2[/tex]

You borrowed $200 from your brother and he's created 2 plans to help you decide how you want to pay it back. His plans are below.
a- How much money did you borrow initially?
b- How much does each plan have you paying each week?
c- which plan would you choose and why?

Answers

Answer: c i would choose give him 250 dollars hope this helped  

plz make brainly

Step-by-step explanation:

Answer: (C) or (B) I think B

Solve the inequality:
8 = 5a > -12
help!!! No links and correct awnser gets brainliest✨

Answers

Answer:

a = 4

Step-by-step explanation:

8 = 5a > - 12

8 + 12 = 5a > - 12 + 12

20 = 5a

20 ÷ 5 = 5a ÷ 5

a = 4

Check:

8 = 5(4) < 12

8 = 20 < 12

It is correct.

1. If the area of a rectangle is represented by x^2+ 8x + 15 and its length is represented by x
+5, which expression represents the width of the rectangle?

Answers

Answer:

(x + 3)

Step-by-step explanation:

a = x^2+ 8x + 15

Factor

a = (x + 5)(x + 3)

if (x + 5) is the length

then (x + 3) is the width

F(x) =x^2 what is g(x)

Answers

What is G(x) ?

Composition of a function is done by substituting one function into another function. For example, f [g (x)] is the composite function of f (x) and g (x). The composite function f [g (x)] is read as “f of g of x”. The function g (x) is called an inner function and the function f (x) is called an outer function.

Pls Answer! Will give brainliest. Khanna earns a annual salary of $33,000. Her federal income tax bracket is 20%. She also must pay 7.65 % Social Security and Medicare taxes. She plans to deposit 15% of her net income into a savings account. Rounded to the nearest dollar how much will she save annually?

3203

3581

3960

4571

Answers

Answer: $3,581

Step-by-step explanation:

As she plans to save from her net income, we have to find the net income first:

= Net income - Federal taxes - Social and Medicare taxes

= 33,000 - (33,000 * 20%) - (33,000 * 7.65%)

= $23,875.50

The savings will be:

= Net income * Savings percentage

= 23,875.50 * 15%

= $3,581.325

= $3,581

Pythagoras theory

Find the missing side length of the following right triangle.

Answers

The answer is 40 yd.

Explanation:
50 yards is the hypotenuse.
So,
a^2+ b^2=c^2
a^2+30^2=50^2
Solve the exponents
a^2+900=2500
Subtract 900 from both sides
a^2= 1600
Opposite of squared is square root so find the square root of 1600.
a=40
a is the missing side length
If you wish to prove this stamens simple plug 40 into a in the original equation like so:

40^2+30^2=50^2
Solve exponents
1600+900=2500
Solve
2500=2500
Since the statement is true the answer is correct.

Every month, a company increases its sales by twice the previous month. The company experienced 23 sales in January, 46 sales in February, 92 sales in March, and so on. If this pattern continues, how many total sales will the company have made after 9 months?

Answers

23, 46, 92, 184, 368, 736, 1472, 2944, 5888.

The company will have 5888 sales.

The area of a circle is 645 ft2. What is the circumference, in feet? Express your
answer in terms of pie

Answers

Answer:

90.03

Step-by-step explanation:

can you answer this???

Answers

Answer:

no sorry

Step-by-step explanation:

In science class we discovered that 7/8 of an apple is water.What fraction of the apple is not water?

Answers

Answer:

1/8

Hope this helps

that would leave only 1/8 of the apple not water common sense

The radius of a CD is 6cm which equation could be used to find the circumference of the CD in cm ?

Answers

Answer:

2πr

Step-by-step explanation:

to find the circumference you must multiply the radius by pi and 2

Answer:

it is 3 pi

Step-by-step explanation:

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