(x2 − 3x + 8) − (7x2 − 2x − 1)

Answer:

8/10

Step-by-step explanation:

There's ten numbers altogether and there are two numbers with the digit one, 1 and 10. 10-2=8

8/10

Answer:

  90 inches

Step-by-step explanation:

The perimeter of the inscribed triangle is 1/2 that of the enclosing triangle. So, the total of perimeters is ...

  (3·16 in)(1 +1/2 +1/4 +1/8) = (48 in)(15/8) = 90 inches

Answer:

26.75 units ^2

Step-by-step explanation:

Since the shape is complex, divide it into 3 right angled triangles and one square. Find the area of these individual shapes first, then fin the sum of these area to calculate the ultimate area of e complex shape:

Triangle 1 = 1/2 x 2 x 5 = 5 units ^2

Triangle 2 = 1/2 x 2 x 2 = 2 units ^2

Triangle 3 = 1/2 x 3.5 x 9 = 15.75 units ^2

Square = 2 x 2 = 4 units squared.

Now add all these up 15.75 + 2 + 5 + 4 = 26.75 units squared.

Hope this helps

Answer: The next step will be 2x - 1 = 9

Step-by-step explanation:

4x -1 = 2x + 9

-2x       -2x  

2x -1 = 9

    +1  +1

2x= 10

x= 5

Answer:

2x-1=9

Step-by-step explanation:

2x-1=9

4x-2x-1=2x-1

2x-2x+9=9

2x-1=9

Answer:

Quadrant IV

Step-by-step explanation:

An angle whose measure is _302° is in standard position the terminal side of the angle fall in Quadrant IV

Answer: B) 76.86

Step-by-step explanation:

Follow the steps others took to get D, then divide by 12 to get 76.86

Hope it helps <3

Answer:

Altogether they lost 150 pennies.

Step-by-step explanation:

X = Dante's pennies

Y = Mia's pennies

X + Y = 350                                       1/2 X = 2/3 Y

                                                                X = 4/3 Y

4/3 Y + Y = 350

7/3 Y = 350

Y = 350 * 3/7

Y = 50 * 3

Y = 150

X + 150 = 350

X = 200

                                                     1/2 * 200 = 2/3 * 150

                                                       100 .      =   100

1/2 * 200 = 100 -> Dante lost 100 pennies

1/3 * 150 = 50 -> Mia lost 50 pennies

Altogether they lost 150 pennies.

we need the graph/ lines,

but just remember

wherever 2 lines intersect, that is a solution

if they are paralell, no solutions

if they cross, 1 solution

if they are the same line/ the lines are on top of each other exactly, infinite solutions

Answer:

P=26

Step-by-step explanation:

Answer:

Step-by-step explanation:

Begin with the fact that the area of a rectangle is A = L * W.  We know that the area is 42 and the length is 7, therefore, we can sub those values into the area formula to solve for the width.

42 = 7 * W so

w = 6 mm.

The perimeter formula is P = 2L + 2W, and now we know L and W. So

P = 2(7) + 2(6)

P = 14 + 12

P = 26

Answer:

It would take 100 days

Step-by-step explanation:

2,000,000 divided by 20,000 equals 100

So it would take 100 days

Answer:

A. 2x + (-x + 2) = -1

Step-by-step explanation:

Well if we use x + y = 2 as the substitute we need to solve for y.

x + y = 2

-x to both sides

y = -x + 2

Substitute

2x + (-x + 2) = -1

Thus,

the answer is A. 2x + (-x + 2) = -1.

Hope this helps :)

Answer:   [tex]\bold{log_5\bigg(\dfrac{x^5}{(8-x)^{\frac{1}{4}}}\bigg)}[/tex]

Step-by-step explanation:

Notes: Coefficients condense to exponents.

           Subtraction condenses to division

[tex]5\log_5(x)-\dfrac{1}{4}\log_5(8-x)\\\\\\=\log_5(x)^5-\log_5(8-x)^\frac{1}{4}\\\\\\=\large\boxed{\log_5\bigg(\dfrac{x^5}{(8-x)^\frac{1}{4}}\bigg)}[/tex]

Answer:

Alfredo tenía 80 soles peruanos al inicio.

Step-by-step explanation:

La descripción del problema puede traducirse a las siguientes ecuaciones matemáticas:

Luego de perder en forma sucesiva 1/3 y 2/5 de lo que le iba quedando:

[tex]y = \left(1 - \frac{1}{3}\right)\cdot x[/tex]

[tex]z = \left(1 - \frac{2}{5}\right)\cdot y[/tex]

Donde:

[tex]x[/tex] - Monto inicial, medido en soles peruanos.

[tex]y[/tex], [tex]z[/tex] - Montos remanentes después de pérdidas, medidos en soles peruanos.

Se reduce el sistema de ecuaciones:

[tex]z = \left(1-\frac{2}{5}\right)\cdot \left(1-\frac{1}{3} \right)\cdot x[/tex]

[tex]z = \frac{2}{5}\cdot x[/tex]

Gana en forma consecutiva sus 3 últimos juegos:

[tex]u = \left(1+\frac{1}{2} \right)\cdot z[/tex]

[tex]v = \left(1 + \frac{1}{4} \right)\cdot u[/tex]

[tex]w = \left(1+\frac{1}{6} \right)\cdot v[/tex]

Donde:

[tex]z[/tex] - Monto inicial, medido en soles peruanos.

[tex]u[/tex], [tex]v[/tex], [tex]w[/tex] - Montos remanentes después de ganancias, medidos en soles peruanos. (Donde w es el monto final).

Se reduce el sistema de ecuaciones:

[tex]w = \left(1+\frac{1}{2} \right)\cdot \left(1+\frac{1}{4} \right)\cdot \left(1+\frac{1}{6} \right)\cdot z[/tex]

[tex]w = \frac{35}{16}\cdot z[/tex]

Si [tex]w = 70[/tex], el monto inicial es:

[tex]z = \frac{16}{35}\cdot w[/tex]

[tex]z = \frac{16}{35} \cdot (70)[/tex]

[tex]z = 32[/tex]

Ahora,

[tex]x = \frac{5}{2} \cdot z[/tex]

[tex]x = \frac{5}{2}\cdot (32)[/tex]

[tex]x = 80[/tex]

Alfredo tenía 80 soles peruanos al inicio.

Al inicio Alfredo tenía $80.

Dado que, luego de perder en forma sucesiva 1/3 y 2/5 de lo que le iba quedando, Alfredo gana en forma consecutiva en sus 3 últimos juegos 1/2, 1/4 y 1/6 de la cantidad que iba acumulando retirándose con $70, para determinar cuánto tenía al inicio se debe realizar el siguiente cálculo:

Por lo tanto, al inicio Alfredo tenía $80.

Aprende más acerca de determinación de cantidades en https://brainly.com/question/13806160

Answer:

             x∈{-7√2, 7√2}

Step-by-step explanation:

[tex]98-x^2=0\\\\-x^2+98=0\\\\a=-1\,,\ \ b=0\,,\ \ c=98\\\\x_1=\dfrac{-0-\sqrt{0^2-4\cdot(-1)\cdot98}}{2\cdot(-1)}=\dfrac{-\sqrt{4\cdot49\cdot2}}{-2}=\dfrac{-2\cdot7\sqrt{2}}{-2}=7\sqrt2\\\\x_2=\dfrac{-0+\sqrt{0^2-4\cdot(-1)\cdot98}}{2\cdot(-1)}=\dfrac{2\cdot7\sqrt{2}}{-2}=-7\sqrt2[/tex]

Answer:

3

Step-by-step explanation:

9's factor is 1, 3, 9.

and 15's factor is 1, 3, 5, 15.

so, the answer is 3.

Answer:

6x

Step-by-step explanation:

Product is multiplication.

2x × 3

Multiply.

2 × x × 3

= 6x

Answer:

  [tex]\overrightarrow{VU}\text{ and }\overrightarrow{VW}[/tex]

Step-by-step explanation:

The sides of an angle are rays. A ray is named by first naming its end point, then a point on the ray.

Here, the lower side is ray VU. The vertical side is ray VW.

If you have the symbols available, you can indicate the feature is a ray by putting a single-ended arrow over the name. The arrowhead is over the point that is not the vertex of the angle. Here, the sides of angle UVW are ...

  [tex]\overrightarrow{VU}\text{ and }\overrightarrow{VW}[/tex]

Answer:

$8,355.555

Step-by-step explanation:

Hello,

This question relates to compound interest and to solve it, we'll need to use the right formula.

C.P = P(1 + r/n)^nt

C.P = compound interest

P = principal

R = rate

N = number of times compounded

T = time

C.P = $47,000

P = ?

R = 5% = 0.05

N = 4

T = 35 years

Substituting the variables into the equation,

47,000 = P (1 + 0.05 / 4) ^ (4 × 35)

47,000 = P (1.0125) ^ 140

47,000 = P × 5.625

Divide both sides by 5.625 and solve for P

P = 47,000 / 5.625

P = $8,355.555

The initial investment was $8,355.555

Answer:

d=16

Step-by-step explanation:

d: distance (10,4),(-6,4)

d=√(x2-x1)^2+(y2-y1)^2

d=√(-6-10)^2+(4-4)^2

d=√16^2

d=16

Answer:

go 4 to right or where is positive then thats it

Step-by-step explanation:

lololololololololololololol

Answer:

Answer B (The cost of fabric compared to its length)

Step-by-step explanation:

The cost of fabric is directly proportional to the length of fabric one is buying. That constant of proportionality is telling you that there is a constant rate of change in units of cost per length.

The other options are much more randomly varying.

Answer:

1/20.

Step-by-step explanation:

Dividing by 4 is the same as multiplying by 1/4 so

1/5 / 4

= 1/5 * 1/4

= 1 /(5*4)

= 1/20.

Answer:

Step-by-step explanation:

[tex] \frac{1}{5} \div 4[/tex]

Flip the second fraction and multiply

Dividing fraction is exactly same as multiplying the reciprocal

[tex] \frac{1}{5} \times \frac{1}{4} [/tex]

Multiply the fractions

[tex] \frac{1 \times 1}{5 \times 4} [/tex]

Calculate

[tex] \frac{1}{20} [/tex]

Hope this helps...

Good luck on your assignment...

Answer:

Hey there!

Choice A represents a function, because a function only has one y value for every x value.

Hope this helps :)

Answer:

A

Step-by-step explanation:

In a function, the x value can only go to one y value

B has x=5 going to y = 13 and y = 17

C had x = -3 with y values of 1 and -1

D has x = -4 going to y = 52 and 16

A each input has only one output value

The side lengths 8 cm, 6 cm, and 10 cm that can form a right triangle option (B), (C), and (D) are correct.

It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.

We know that Pythagoras theorem:

[tex]\rm Hypotenuse^2 = Perpendicular^2 + Base^2[/tex]

10² = 8² + 6² = 64+36 = 100

Thus, the side lengths 8 cm, 6 cm, and 10 cm that can form a right triangle option (B), (C), and (D) are correct.

Learn more about the right angle triangle here:

brainly.com/question/3770177

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Answer:

Angle 5

Step-by-step explanation:

Answer:

Angle 5

Step-by-step explanation:

Angle 8 is across from angle 5 meaning they have the same degrees.

Answer:

V=280

Step-by-step explanation:

V=whl

V=(8)(7)(5)

V=280

Answer:

140 units ^3

Step-by-step explanation:

a p e x

The solutions to the equation x minus StartFraction 7 Over x EndFraction is equal to 6 is -1 and 7

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

We have equation:

[tex]\rm x-\dfrac{7}{x}=6[/tex]

After simplifying:

[tex]\rm x^2 -7 = 6x\\\\x^2-6x-7=0[/tex]

[tex]\rm x^2 +x-7x-7=0[/tex]

(x + 1)(x - 7) = 0

x = -1 or x = 7

Thus, the solutions to the equation x minus StartFraction 7 Over x EndFraction is equal to 6 is -1 and 7

Learn more about quadratic equations here:

brainly.com/question/2263981

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Answer:

C) x= -1 and x=7

Step-by-step explanation:

Answer:

The distance from the Zoo to the city is 80 km

Step-by-step explanation:

The given information are;

The speed of the tour bus = 78 km/h

The point of passing the tour bus = Half way between the city and the Zoo

The time taken after passing the tour bus when it was still  14 km from the city = 20 minutes = 20/60 hour = 1/3 hour

Therefore, we have that the distance covered by the tour bus in 1/3 hour  = Time ×Speed = 1/3×78 = 26 km

The distance remaining for the tour bus to reach the city = 14 km

The total distance from the time of observation of the tour bus = Half the distance from the city to the Zoo

Also, the total distance from the time of observation of the tour bus = 26 km + 14 km = 40 km

∴ 40 km = Half the distance from the city to the Zoo

Which gives;

The distance from the Zoo to the city = 2 × 40 km = 80 km.

Answer:

78.5%

Step-by-step explanation:

Hope this helps ;) ❤❤❤

Answer:

X = 25

Step-by-step explanation:

Set up as a ratio:

Simplify ratio, multiply by 5, divide by 12

[tex]\frac{60}{144} = \frac{x}{60} \\\frac{5}{12}=\frac{x}{60} \\ 300 = 12x\\12x=300\\x=25[/tex]