Evaluate: x(y - xy), where x = -5 and y= -2

Answer:

[tex] \boxed{ \bold{ \huge{\boxed{ \sf{x = - 11}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{5x + 23 = 2(x - 5)}[/tex]

Distribute 2 through the parentheses

⇒[tex] \sf{5x + 23 = 2x - 10}[/tex]

Move 2x to left hand side and change it's sign

⇒[tex] \sf{5x - 2x + 23 = - 10}[/tex]

Move 23 to right hand side and change it's sign

⇒[tex] \sf{5x - 2x = - 10 - 23}[/tex]

Collect like terms

⇒[tex] \sf{3x = - 10 - 23}[/tex]

Calculate

⇒[tex] \sf{3x = - 33}[/tex]

Divide both sides of the equation by 3

⇒[tex] \sf{ \frac{3x}{3} = \frac{ - 33}{3} }[/tex]

Calculate

⇒[tex] \sf{x = - 11}[/tex]

Hope I helped!

Best regards!!

Answer:

75

Step-by-step explanation:

Let full marks be x

Then pass marks is 40% of x which is 0.4x

As per given, we have

22= 0.4x - 8

Solving for x

0.4x = 30

x = 30/0.4

x = 75

So full marks is 75

Answer:

The number line is shown below.

Step-by-step explanation:

We need to represent number that is less than 3 on a number line.

Let x be numbers.

So, [tex]x<3[/tex].

Now, we have a number which represents x<3. Here 3 is not included in the solution set, so there is an open circle on 3 and left side of 3 are in the solution set.

The number line is shown below.

Answer:

Step 1: Move the decimal point so that you have a number that is between 1 and 10. ...

Step 2: Count the number of decimal places moved in Step 1 . ...

Step 3: Write as a product of the number (found in Step 1) and 10 raised to the power of the count (found in Step 2).

Step-by-step explanation:

Answer:

[tex]-2/5 \text{ and } 6[/tex]

Step-by-step explanation:

So we have the equation:

[tex]|3k-2|=2|k+2|[/tex]

First, distribute the 2 into the absolute value:

[tex]|3k-2|=|2k+4|[/tex]

Definition of absolute value:

[tex]3k-2=(2k+4) \text{ or } 3k-2=-(2k+4)[/tex]

Left:

[tex]3k-2=2k+4[/tex]

Subtract 2k from both sides:

[tex]k-2=4[/tex]

Add 2 to both sides:

[tex]k=6[/tex]

Right:

[tex]3k-2=-(2k+4)[/tex]

Distribute the negative:

[tex]3k-2=-2k-4[/tex]

Add 2k to both sides:

[tex]5k-2=-4[/tex]

Add 2:

[tex]5k=-2[/tex]

Divide by 5:

[tex]k=-2/5[/tex]

So, our solutions are:

[tex]-2/5 \text{ and } 6[/tex]

Answer:

20 points

Step-by-step explanation:

Points:

Average:

They must score 20 points

Answer:

D. 96

Step-by-step explanation:

Answer:

C. y-1=2(x+2)

Step-by-step explanation:

A. y-7=2(x-6)-point slope form: y-y1=2(x-x1)-coordinate point: (x1,y1)=(6,7)

Now let's check that the other point works-just sub in the coordinates for the x and y variables.

y-7=2(x-6)\\-1-7=2(2-6)\\-8=2(-4)\\-8=-8

So answer choice A. goes through both points, so no.

B. y=2x-5-slope-intercept form, so just sub in both sets of coordinates separately to see if they each work.

y=2x-5\\7=2(6)-5\\7=12-5\\7=7\\equal

y=2x-5\\-1=2(2)-5\\-1=4-5\\-1=-1\\equal

Both work, so no.

C. y-1=2(x+2)-point slope form that gives us first coordinate set--(-2,1)

Except that the point is actually (2,-1) not (-2,1).  That means that answer choice C is not an equation of the line thaat goes through (6,7) and (2,-1), so yes.

D. Anyway, if we check D--y+1=2(x-2)--coordinate point given: (2,-1), which is correct, so no.

Answer:

B) -2t^2+3t+5

and

C) 4t-7

Answer:

It looks like the number line is going by 2's. So I would say the answer is 20.

Hope this helps!

Answer: 20

Step-by-step explanation:

Assuming for every line you go up you increase the by 2.

So if you have 8 you skip a line and you end up at 12 the next line the line in between those 2 numbers should be 10. Leaving you with a sequence of numbers and if you keep going along 12, 14, 16, 18, you arrive at 20.

Answer:

a = 6

Step-by-step explanation:

a / 3 + 4 = 6

a / 3 = 2 (Subtract 4)

a = 6 (Multiply by 3)

Answer:

x = 2 so 8 = 4+x2

Step-by-step explanation:

Answer:

4+4=8

Step-by-step explanation:

YAwhats wrong

Answer:

[tex]\Large \boxed{\mathrm{B}}[/tex]

Step-by-step explanation:

[tex]\sf 5 = -2(x - 1)[/tex]

Applying the distributive property.

We distribute the -2 to the terms in the brackets on the right side of the equation to get Equation B.

[tex]\sf 5 = -2(x) -2(-1)[/tex]

[tex]\sf 5 = -2x + 2[/tex]

To get Equation B from Equation A, we rewrite one side or both using the distributive property.

Answer:

7.. option a is right

............................ .. sorry mate I also so busy so that. I can't all ur questions

Answer:

La nota que Víctor no recuerda es 5.2

Step-by-step explanation:

La media es el valor promedio de un conjunto de datos numéricos y es también llamada promedio o media aritmética.

Su cálculo se obtiene al sumar todos los datos disponibles y dividir el resultado por el número total de esos datos:

[tex]Promedio=\frac{x_{1} +x_{2} +x_{3}+...+x_{n} }{N}[/tex]

donde N el número total de observaciones.

En este caso:

[tex]Promedio=\frac{x_{1} +x_{2} +x_{3}+x_{4} }{4}[/tex]

Siendo:

y reemplazando:

[tex]5.5=\frac{6 +6 +4.8+x_{4} }{4}[/tex]

Se obtiene:

5.5*4=6+6+4.8 +x₄

22=6+6+4.8 +x₄

22-6-6-4.8=x₄

x₄=5.2

La nota que Víctor no recuerda es 5.2

Answer:

none of the above

Step-by-step explanation:

Answer:

(x-1)² = 3

Step-by-step explanation:

Given f(x)=x²−2x−2

Completing x²−2x−2 = 0 to square

Correct choice is D

Answer:

[tex]8[/tex]

Step-by-step explanation:

[tex]4g - 12 = 4 \times 5 - 12 = 20 - 12 = 8[/tex]

Answer:

answer is 41

Step-by-step explanation:

subscribe to itzz sneaky

:the anser is

41

i just did it

Answer:

The length of the sides are 3 feet and 4 feet, respectively.

Step-by-step explanation:

Given the fact that triangle is a right triangle, it can be represented by Pythagorean Theorem:

[tex]r^{2} = x^{2}+y^{2}[/tex]

Where:

[tex]r[/tex] - Hypotenuse, measured in feet.

[tex]x[/tex], [tex]y[/tex] - Legs, measured in feet.

In addition, each leg can be determined as functions of hypotenuse:

[tex]x = r-2\,ft[/tex]

[tex]y = r-1\,ft[/tex]

Hence, the Pythagorean identity can be expanded and remaining variable may be solved:

[tex]r^{2} = (r-2\,ft)^{2}+(r-1\,ft)^{2}[/tex]

[tex]r^{2} = r^{2}-4\cdot r +4 + r^{2}-2\cdot r +1[/tex]

[tex]r^{2}-6\cdot r +5 =0[/tex]

[tex](r-5)\cdot (r-1) = 0[/tex]

[tex]r = 5\,ft\,\vee\,r = 1\,ft[/tex]

According to the definition of hypotenuse, it must be longer than any of legs. Hence, there is just one solution that is reasonable:

[tex]r = 5\,ft[/tex]

And length of the sides are, respectively:

[tex]x = 5\,ft-2\,ft[/tex]

[tex]x =3\,ft[/tex]

[tex]y = 5\,ft-1\,ft[/tex]

[tex]y = 4\,ft[/tex]

The length of the sides are 3 feet and 4 feet, respectively.

Answer:

true

Step-by-step explanation:

that is the literal definition

Answer:

4. 7 hours   6. 8.57

Step-by-step explanation:

Step-by-step explanation:

Since, Carlos completes the work in 5 hours.

So, in one hour she will do [tex] =\frac{1}{5}[/tex] part

Since, Jenny completes the work in 9 hours.

So, in one hour she will do [tex] =\frac{1}{9}[/tex] part

(Carlos + Jenny)'s one hour work together

[tex] =\frac{1}{5}+\frac{1}{9}\\

= \frac{9+5}{5\times 9}\\

= \frac{14}{45}\\[/tex]

Total time taken by Carlos and Jenny together [tex] =\frac{45}{14}= 3\frac{3}{14} \: hours[/tex]

Answer:

(400/100)*80 = 320

Step-by-step explanation:

400 = 100%, just divide by 100 and multiply by 80

Answer:

80%of 400

400-80

400-80 =320

=320 people choose Friday

checking

320

80+20= 100

320+ 80=400

Answer:

−9t−4

Step-by-step explanation:

Answer:

the isn't enough information to answer

Answer: To add integers having the same sign, keep the same sign and add the absolute value of each number. To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest. Subtract an integer by adding its opposite.