What method would you choose to solve the equation 2x 2squared – 7 = 9? Explain why you chose this method.

Answer:

5/8 is smaller.

Step-by-step explanation:

A ratio is just a different type of fraction, a 5:8 ratio means 5/8 which is 0.625. A 7:9 ratio equals 7/9 which is 0.777777

Then to compare them you see which is smaller or bigger.

0.77777  is bigger than 0.625 so we know that 0.77777777 which was the 7:9 ratio is the bigger one.

Steps:-

[tex]\\ \rm\rightarrowtail 5:8::7;9[/tex]

[tex]\\ \rm\rightarrowtail 5/8:7/9[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{5(9)}{8(9)}:\dfrac{7(8)}{9(8)}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{45}{72}:\dfrac{56}{72}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{45}{56}[/tex]

Answer:63.75

Step-by-step explanation: 1500x0.085x0.5=63.75

Answer:

x ≈ 59.0°

Step-by-step explanation:

using the tangent ratio in the right triangle

tanx = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{30}{18}[/tex] , then

x = [tex]tan^{-1}[/tex] ( [tex]\frac{30}{18}[/tex] ) ≈ 59.0° ( to the nearest tenth )

Answer:

its (3x-5)

Step-by-step explanation:

Answer:

C. (3x - 5)

Step-by-step explanation:

1. Find a solution pair that gives the sum of b (5):

-10 + 15 = 5

2. Break the expression into groups:

(6x² - 10x) + (15x - 25)

3. Factor out the common factor in each group:

2x(3x - 5) + 5(3x - 5)

4. Factor out the common pair (3x - 5) using the distributive property:

(3x - 5)(2x + 5)

hope this helps!

Answer:

UV = 10

Step-by-step explanation:

VX is a perpendicular bisector of the base UW , then Δ UVW is isosceles with the 2 legs being congruent , that is

UV = VW = 10

Answer:

19 is B

Step-by-step explanation:

7/8 x 8x = 7x

7/8 x 16 = 14

Answer:

preference ballot

Step-by-step explanation:

A preference ballot is a ballot in which the voter ranks the choices in order of preference.

Answer:

Traditional ballots

Step-by-step explanation:

i took the test

Answer:

3w, 4x, 4w, 7y, 7x, 3y,  5w,

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total number of Hamburgers and Cheeseburgers = 394

Let the number of hamburgers = x

x + x - 56 = 394                           Combine the left

2x - 56 = 394                               Add 56 to both sides

2x - 56 + 56 = 394 + 56              Combine

2x = 450                                       Divide both sides by 2

2x/2 = 450/2

x = 225

Answer

Answer:

12 cm²

Step-by-step explanation:

Area of triangle: bh/2 = (2)(3)/2 = 3

Area of square: bh = (2)(3) = 6

Total area of the shape = 2 triangles + 1 square

Total area = 2(3) + 6 = 12 cm²

I hope this helps!

Answer:

12

Step-by-step explanation:

You can find the area of the shape 2 different ways.

I'll show you both ways.

First Way: find the area of each individual shape that makes it up then add them together

We can find the area by finding the area of the rectangle and then the two triangles and then adding the two multiples together

Area of a rectangle = length × width

Length = 3 and width = 2

So area = 3 × 2 = 6

Now to find the area of the triangles

Area of a triangle = 1/2bh

Where b = base length and h = height

The base length is 2 and the height is 3

So area = 1/2 × 2 × 3 = 3

There are two triangles and they both have the same dimensions

So the area of both triangles = 2 × 3 = 6

Finally we add the areas together to get the total area

Total Area = 6 + 6 = 12cm²

Second way : Use the area of a trapezoid formula:

The shape shown is a trapezoid so we could also use the area of a trapezoid formula.

Formula : [tex]A=\frac{a+b}{2} h[/tex]

where a and b = base lengths and h = height

The base lengths appear to be 2 and 6 and the height is 3

So a = 2 , b = 6 and h = 3

Which means [tex]A=\frac{2+6}{2} 3[/tex]

Simplify addition

[tex]A=\frac{8}{2} 3[/tex]

simplify division

A = (4)3

Then multiply
A = 12cm²

Answer:

kya- y= 100·(0.8)^t

chase= 100-18t

Step-by-step explanation:

I did the work on imagine math

The exponential function that fits the data is y= 100·(0.8)^t

When the expression of function is such that it involves the input to be present as exponent (power) of some constant, then such function is called exponential function. There usual form is specified below. They are written in several such equivalent forms.

We are given that Mrs. Evans gave her class a 100-page reading assignment.

Since 2 days, Kya and Chase each have 64 pages left to read.

Each student writes a function f(t) to model the pages left to read, where t is the number of days since the assignment was given.

Kya writes an exponential function that fits the data as;

y= 100·(0.8)^t

Chase writes a linear function that fits the data as;

chase= 100-18t

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Answer: he would get 1000

Step-by-step explanation:

100 x 10 =1000

Answer:

$1,000

Step-by-step explanation:

Since he makes 100 pesos in 1 hour, all you have to do is multiply 100 by 10. When multiplying a number by 10, all you do is move the decimal point back one. In this case, our decimal point is imaginary, so when we move it back one, you just add a zero at the end of the number. That gives you 1000.

Answer:

gradient:  1/4; y-intercept:  3

Step-by-step explanation:

In math, 'gradient' is another word for slope.

Here we have y = (1/4)x + 3.  The coefficient of x is the slope or gradient:  1/4.  The y - intercept is 3:  (0, 3).

Answer:

Step-by-step explanation:

The equation is in y = mx + b form.

Here, m is the slope or gradient and b is the y-intercept.

[tex]y =\dfrac{1}{4}x+3\\\\\\Gradient =\dfrac{1}{4}[/tex]

y-intercept = 3

Answer:

41,636

Step-by-step explanation:

Easy, on each row, there are 28 seats, and we know there's 1487 rows in total.

Hence, number of rows multiplied by number of seats counted

   1487 × 28

   =41,636

(Dang, that's alot of seats then)

Answer:

length: 40, width: 20

Step-by-step explanation:

length = 1/2×80/1 = 40

width = 1/4 × 80/1 = 20

hope this helps =)

Answer:

13w+4 or 4+13w

Step-by-step explanation:

w is the same as one then it will be 4+w(1)+12w =12w+w(1)=13w

4 over here does not have friend therefore it renains to be 4 =13w+ 4

Answer:

Step-by-step explanation:

cos(π+θ)=-cos θ=-(0.83)/1=-0.83

cos (2π-θ)=cos θ=0.83/1=0.83

Answer:

5/4

Step-by-step explanation:

The total US dollars it cost to Tom to get the rupees he wants for the trip of India is $270 round to the nearest dollar.

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.

To calculate the percentage part of number, multiply it with the original number and divide with 100.

Tom is exchanging money for his trip to india. The exchange rate of us dollars to indian rupees is,

[tex]r=\dfrac{1}{45.897}[/tex]

Tom needs 11,550 rupees. The dollars need for 11550 Indian rupees are,

[tex]n=\dfrac{11550}{45.897}\\n=251.65[/tex]

The currency exchange service he is using charges a fee of 7.25% after the exchange is made. Thus the total dollar requied after the service charge is,

[tex]n=251.65+\dfrac{7.25}{100}\times251.65\\n=251.65+18.245\\n=269.895\\n\approx270[/tex]

Thus, the total US dollars it cost to Tom to get the rupees he wants for the trip of India is $270 round to the nearest dollar.

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Answer:

B. 12

Step-by-step explanation:

Edges are the straight lines

Answer:

Hope the picture will help you

Answer:

[tex]\tt x=-2[/tex]

Step-by-step explanation:

[tex]\tt -3(x + 5) = -9[/tex]

Step (1) :- Distribute

[tex]\tt -3x-15=-9[/tex]

Step (2) :- Add 15 to both sides

[tex]\tt -3x-15+15=-9+15[/tex]

Step (3) :- Simplify

[tex]\tt -3x=6[/tex]

Step (4) :- Divide both sides by -3:-

[tex]\tt \cfrac{-3x}{-3}=\cfrac{6}{-3}[/tex]

[tex]\tt x=-2\;\; \bf Answer[/tex]

____

[tex] \sf:\implies \quad {\pmb{\sf x = -2}} [/tex]

Let's solve the given problem step by step :

[tex]:\implies \quad \sf - 3(x + 5) = - 9[/tex]

First, distribute the given problem :

[tex]:\implies \quad \sf - 3(x + 5) = - 9[/tex]

[tex] \sf:\implies \quad - (3 \times x) - (3 \times 5) = - 9[/tex]

Add 15 to both sides :

[tex] \sf:\implies \quad - 3x - 15 = - 9[/tex]

[tex] \sf:\implies \quad - 3x - 15 + 15 = - 9 + 15[/tex]

On simplifying :

[tex] \sf:\implies \quad -3x-15+15 = -9+15[/tex]

[tex] \sf:\implies \quad - 3x = 6[/tex]

Dividing both sides with same factor :

[tex] \sf:\implies \quad - 3x = 6[/tex]

[tex] \sf:\implies \quad \dfrac{ - 3x}{ - 3} = \dfrac{6}{ - 3} [/tex]

[tex] \sf:\implies \boxed{ \pmb{ \sf\quad x = - 2}}[/tex]

Answer:

11-3×62=496

Step-by-step explanation:

by getting 8 by subtracting 11 and 3 yoy can do this

[tex]62[/tex]

[tex] \times 8[/tex]

The number is 17 and less and the inequality is 3x + 11 ≤ 62

Given,

Eleven more than three times a number is at most 62

We need to find the number and the inequality.

< mean less than

> means greater than

≤ means less than or greater than

≥ means greater than or equal to

Find the meaning of the statement.

more than means adding

times means multiply

At most 62 means the maximum is 62 and we use ≤ 62.

Find the expression.

Eleven more than three times a number is at most 62

Let x be the number.

3x + 11 ≤ 62

Find x value.

3x + 11 ≤ 62

3x + 11  62

3x ≤ 62 - 11

3x ≤ 51

x ≤ 51/3

x ≤ 17

Thus the number must be 17 and less and the inequality is 3x + 11 ≤ 62

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Answer:

12

Step-by-step explanation:

20*2= 40 cookies per hour,

she is working 6 hours so she sells 240 cookies total

240-(38*6) = 12

Nadya bakes 20 cookies every half hour. Vasil sells 38 cookies per hour. 12 cookies that are left unsold and if they work from 6:00 am till noon.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Nadya bakes 20 cookies every half hour. Vasil sells 38 cookies per hour.

We need to find many cookies that are left unsold and if they work from 6:00 am till noon.

20 x 2= 40 cookies per hour,

she is working 6 hours so she sells 240 cookies

The total

= 240 - (38 x 6)

= 12

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Answer:

0 or 6x+4=6x+4  (Technically no slope at all!!)

Step-by-step explanation:

You need to do distributive property and then solve for x!!

meaning the 2(3x+2) has to get distributive property process.

6x+4=6x+4

That shall be equal together!!! (You could stop here!!)

If continue:

6x-6x=4-4

0=0

Step-by-step explanation:

m<2: 65°( vertically opposite angle)

m<3: 180°-65°=115°(sum of straight line)

m<4: 180°- 65° = 115° (sum of straight line)

m<5: 180°- m<7=180-115=65

m<7 = m<4=115°(corresponding angle)

m<8 = m<5 =65°(vertically opposite angle)

m<6=m<7=115°( vertically opposite angle)

in this way 10,11,12 will be find.

Please Mark me as Brainliest .

Thanks

Step-by-step explanation:

correct this answer

mark a brain less

Answer:

y = (-5/2)X + 4

Step-by-step explanation:

we know that the equation of a line is y = mx + b

m = -5/2

so

y = -5/2x + b

to find b:

-6 = -10 + b

b = 4

so

y = (-5/2)X + 4

Answer:

Use the point-slope form of a linear equation:

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

where:

Given:

Substitute given information into the equation:

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

[tex]\implies y-(-6)=-\dfrac52(x-4)[/tex]

[tex]\implies y+6=-\dfrac52x+10[/tex]

[tex]\implies y=-\dfrac52x+4[/tex]

Therefore, the equation of the line in different formats is:

[tex]\textsf{slope-intercept form: }y=-\dfrac52x+4[/tex]

[tex]\textsf{standard form: }5x+2y=8[/tex]

Answer:

if youre doing this on paper use a protractor

Step-by-step explanation:

place the straight line ontop of the side you're trying to read the angle from and go in a clockwise direction when using the compass until you find the angle degree.  hope that helps:-)

Answer:

x = 9 m

y = 1 m

Step-by-step explanation:

6/1 = x/1.5

x = 1.5 × 6

x = 9

6/1 = 6/y

6y = 6

y = 1

The difference between the maximum value of g(x) and the minimum value of f(x) is 5.

Given function is:

[tex]f(x)=x^{2} -2x+8[/tex]......(1)

The general form of a quadratic equation is [tex]ax^{2} +bx+c=0[/tex] with [tex]a\neq 0[/tex].

As we know the minimum value of a quadratic function is [tex]\frac{4ac-b^{2} }{4a}[/tex] when a>0

For f(x) a>0 so minimum value of f(x) = [tex]\frac{4*1*8-(-2)^2}{4*1}[/tex]=7

From the graph, the maximum value of g(x) =12

So, the difference between the maximum value of g(x) and the minimum value of f(x) =12-7 =5

Hence, the difference between the maximum value of g(x) and the minimum value of f(x) is 5.

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