Show that x^2 + 5x = 3

Show That X^2 + 5x = 3

Answers

Answer 1

Answer:

[tex]area = length \times width \\ 9 = (x + 3)(x + 2) \\ {x}^{2} + 2x + 3x + 6 = 9 \\ {x}^{2} + 5x + 6 = 9 \\ {x}^{2} + 5x + (6 - 9) = 0 \\ {x}^{2} + 5x =3[/tex]


Related Questions

HELPPP PLEASE!!!!!!!!!!

Answers

C because i like the letter c

Erin's jewelry box is in the shape of a rectangular prism. The measurements of the jewelry box are length 5 in, width 10 in, and height 3 in. What is the surface area of Erin's jewelry box?

Answers

Answer:

190 square inches

Step-by-step explanation:

Surface area of a rectangular prism formula is given as

2(LW + LH + WH)

Where

L = Length = 5in

H = Height = 3in

W = Width = 10in

Hence:

Surface area = 2(5 × 10 + 5 × 3 + 3 × 10) square inches

= 2 × (50 + 15 + 30) square inches

= 2 × (95) square inches

= 190 square inches

Therefore, the surface area of Erin's jewelry box is 190 square inches

What are the coordinates of V′ for the transformation (T(–3, 1)° D4 )(ΔTUV) of T(–7, –6), U(–8, 3), and V(2, 1)?

Answers

Answer:

(5;1)

Step-by-step explanation:

-3 means shift to the right

What is the total area of the garden?

Answers

I can not the see the text
It’s just blank I will help but there’s nothing.

Please help i'm struggling with this!It's urgent!

Answers

Answer:

Step-by-step explanation:

Dilation

A polygon with 6 sides is shown. No angles go inside of the shape.
What type of polygon is shown?

convex heptagon
concave heptagon
concave hexagon
convex hexagon

Answers

Answer:

d. convex hexagon

Step-by-step explanation:

i got a 100 edge 2021

The type of Polygon shown as given in the question with its' shape is called; Convex Hexagon

How to define Polygons?

We are told that the polygon has 6 sides and that no angle goes inside the shape.

Now, a polygon with 6 sides is called a hexagon. However, in this case the name will be a convex hexagon because it will have a hexagonal shape with no interior angle greater than 180°.

Despite that said, regular hexagons will always be called convex hexagon while Irregular hexagons can also be called convex hexagons.

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pls help me solve pls show how you got the answer

Answers

Step-by-step explanation:

the answer is number a 88 CM square

hey, if the volume is 8cm^3, each side will be 2 cm, why? because 8√3 equals 2. or 8=2×2×2.

so each side equals 2.

to calculate the surface area, we need to calculate one square's area and multiples it by the number of the surfaces.

to calculate a square's area: 2×2=4

so each square has the surface of 4cm^2

now we count to see how many squares do we have.

we've got 22 surfaces.

so 22×4=88cm^2

then option C is the answer

my mother tongue isn't English so my apologies if I couldn't explain well

the taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of 10 km, the charge paid is 105 and for a journey of 15 km, the charge paid is 155. How much does a person have to pay for traveling a distance of 25 km?

Answers

Answer:

255

Step-by-step explanation:

total cost paid = fixed cost + total variable cost

total variable cost = distance travelled x variable cost per unit

two equations can be derived from the question

a + 10b = 105  equation 1

a + 15b = 155   equation 2

a = fixed cost

b =  variable cost per unit

Subtract equation 1 from 2

5b = 50

b = 10

Substitute for b in equation 1

a + 10(10) = 105

a = 105 - 100 = 5

a = 5

cost of travelling a distance of 25km

5 + 10(25) = 255

Answer the question.

Answers

Answer:

$19.53

Step-by-step explanation:

$20 - 0.1(20) = 20 - 2 = 18

18 + 0.085(18) = 18 + 1.53 = 19.53

Which is the graph of f(x) = (x + 3)(x - 2)?
Ty
2
4
8
o
- 4 2
4
HELP IM BEING TIMED

Answers

Answer:

the too left graph us the abswer,

Because

f(x) = (x + 3)(x - 2) has positive cieff of the x^2 term, and also it has roots of -3 and 2

The graph of the function  f(x) = (x + 3)(x - 2) is first graph.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

To graph the function f(x) = (x + 3)(x - 2), we can start by finding its x-intercepts, y-intercept, and any vertical or horizontal asymptotes.

First, to find the x-intercepts, we set y = 0 and solve for x:

(x + 3)(x - 2) = 0

This equation is true when x = -3 or x = 2. Therefore, the x-intercepts of the graph are -3 and 2.

Next, to find the y-intercept, we set x = 0 and evaluate:

f(0) = (0 + 3)(0 - 2) = -6

Therefore, the y-intercept of the graph is -6.

The graph of f(x) = (x + 3)(x - 2) is a parabola that opens up because the sign of the two factors, (x + 3) and (x - 2), are both positive.

This means that the graph of f(x) will be a parabola that opens up with its vertex located at the point where the two factors are equal to each other

Hence, the graph of the function  f(x) = (x + 3)(x - 2) is first graph.

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write an equation to show the relationship between a and c when a = b + 9 b = c - 2​

Answers

Given:

The equations are:

[tex]a=b+9[/tex]

[tex]b=c-2[/tex]

To find:

The equation that show the relationship between a and c.

Solution:

We have,

[tex]a=b+9[/tex]               ...(i)

[tex]b=c-2[/tex]               ...(ii)

Equation (i) can be rewritten as:

[tex]a-9=b[/tex]              ...(iii)

From (ii) and (iii), we get

[tex]a-9=c-2[/tex]

[tex]a-c=9-2[/tex]

[tex]a-c=7[/tex]

Therefore, the required equation is [tex]a-c=7[/tex].

Answer the questions please and no links

Answers

Answer:

3. would be one above the negative 5

4. 3 up from positive 4

5. would be on the negative 2

write the letters on those points respectively.

find the complement of 63°​

Answers

Answer:

63=90-63= 27

Bye

Ramos spends $36.00 on a t-shirt and spends $20.00 on a hot dog.
Daniels spends $50.00 on shoes. Ramos has a bank account with a balance
of $100. How much will the purchase cost him? What would Ramos’ bank
balance be after all the debts were paid?

Answers

Answer:

$-6

Step-by-step explanation:

Spend

$36 on t-shirt

$20 hot dog

$50 shoes

Ramos money- $100

$36+$20+$50=$106

$100-$106=$-6

***Don't forget units***

Hope this was useful :)

Find the exact value, without a
calculator
711/6
sin
2

tan
12
711/6
COS
2
? ] + [
- √

Answers

Answer:

The answer to calculate this will be:

5

π

6

The required value of tan(7π/12) = √[(2+√3)/(2-√3)].

To find the exact value of tan(7π/12).

What are trigonometric equations?

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.

[tex]tanx =\sqrt{ \frac{1 -cos2x}{1 + cos2x} }[/tex]

tan(7π/12) = √ [ (1 - cos2(7π/12) ) / (1 + cos2(7π/12) ]
                 =  √ [ (1 - cos(7π/6) ) / (1 + cos(7π/6) ]

                  =  √ [ (1 - cos(π + π/6) ) / (1 + cos(π + π/6) ]
Since cos(π + x) = -cosx
                 =  √ [ (1 + cos(π/6) ) / (1 - cos(π/6) ]

Here, cos( π/6 ) = √3/2
                  =  √ [ (1 + √3/2 ) / (1 - √3/2 ]
                 =  √ [ (2 + √3)/2  / (2- √3)/2 ]
                 = √ [ (2 + √3) / (2- √3) ]


Thus, the required value of tan (7π/12) = √ [ (2+√3)/(2-√3) ].

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Jaira is volunteering to stack 12 boxes of soup cans at a community food bank. She stacks the boxes to form a right rectangular prism. Describe or show 2 different ways that Jaira could have arranged her boxes to still make a rectangular prism.

Example: 6 boxes long, 1 box wide, and 2 boxes high ( 6 x 1 x 2 = 12 boxes )
A second way is: 4 boxes, ? , ? 4 x ? x ? = 12 boxes
A third way is: ? ? x ? x ? = ? boxes
2. Would you measure the space these boxes’ shape take up the same way you counted the area that the rug covered on the floor? Explain.

Answers

Answer:

6 boxes wide

6 boxes wide

or 2high 2high 2high 2high 2high 2high

Step-by-step explanation:

6 wide and 6 wide to make 12. 6x2=12

2 high ×6 2×6=12

The first and last terms of a 10-term arithmetic series are listed in the table. What is
the sum of the series? (2 points)
Term Number Term
1
3
10
75

Answers

The answer to this question is 75

Please helpppp for tan need help quick

Answers

Answer:

8/15

Step-by-step explanation:

according to the Pythagoras theorem ,

SohCahToa

Soh - sine is opposite , hypotenuse

Cah -cos is adjacent , hypotenuse

Toa - tan is opposite, adjacent

from the diagram above , the tan is 8/15.

Hope this is helpful ,

have a nice day :-)

Which equation is equivalent to
y-1= 5(x+2) ?

Answers

Step-by-step explanation:

We can simply by opening the brackets ,

=> y - 1 = 5( x - 2 )

=> y - 1 = 5x - 10

=> y - 5x = -9

=> 5x - y + 9 = 0

which sum or difference is modeled by the algebraic tiles?

Answers

Answer:

C

Step-by-step explanation:

Whats the surface area of a cube whose volume is 1664??​

Answers

Answer:

A≈842.53

:))))

Volume = side³

=> 1664 = side³

=> ³√1664 = side

=> 4 (³√26) = side

=> 4 (26^1/3) = side

Surface area = 6 side²

=> Surface area = 6 × [4 (26^1/3)]²

=> Surface area = 6 × 140.42 [approximately]

=> Surface area = 842.54 [approximately]

Please help i'm struggling with this!It's urgent!

Answers

Answer:

m=1/2

Step-by-step explanation:

coordinatr points are:

(6,4) = (x1,y1)

(8,5) = (x2,y2)

slope(m) = y2-y1/x2-x1

=5-4/8-6

=1/2

Which of the following is the value of a when the function f(x)=3|xl is written in the standard form of an absolute value
function?

Answers

F(x)=|x| is the simplified version of an absolute function such as the parent function

Answer:

D = 3

Step-by-step explanation:

edge 2022

help with question please​

Answers

Answer:

i dont know

Step-by-step explanation:

Find the slope of the line please! Will mark as brainliest :)

Answers

Answer:

D.  [tex]\displaystyle \frac{1}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

Reading a coordinate graphCoordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify points from graph

Point (-5, -3)

Point (3, 1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{1--3}{3--5}[/tex][Fraction] Subtract:                                                                                           [tex]\displaystyle m = \frac{4}{8}[/tex][Fraction] Simplify:                                                                                            [tex]\displaystyle m = \frac{1}{2}[/tex]
the answer is D
hope that helps

Plss help me with this equation

Answers

Answer:

x = 110 degree

Step-by-step explanation:

Hope this helps u !!

To solve by completing the square, what needs to be moved in this equation?
x2 = 9 - 4x

A. The x^2

B. =

C. The - 4x

D. The 9

Answers

Answer:

To complete the square, we need to have the equation set up like this:

x^2 +4x =9

To do that, we'd need to move the 4x to the left side producing

4x + x^2 = 9

And that can be rewritten as

x^2 +4x =9

So the term that needs to be moved is -4x

https://www.1728.org/quadr2.htm

Step-by-step explanation:

1) Paul is buying stock to add
to his portfolio. The cost of the
stock is $60 per share. The
broker that he's buying from
also charges a processing fee
of $100.

Answers

Is there more to this question?

may I please have help from anyone thank you so much !

Answers

Answer:

Hello! answer:

largest volume: Rectangle C

smallest volume: Rectangle A

Step-by-step explanation:

Rectangle A: 120

Rectangle B: 160

Rectangle C: 224

Rectangle D: 189

Hope that helps!

In a right triangle, the hypotenuse / the opposite side is:


answer choices:

cosine

cotangent

cosecant

secant

Answers

The correct answer is Cotangent
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