Expand & simplify: (x - 2)(x - 3)

Answers

Answer 1

Answer:

x^2-5x + 6

Step-by-step explanation:

Here, we want to expand the given expressions

To do this, we multiply each term in the first bracket with each term in the second

We then proceed to collect like terms

We have this as;

x(x-3) - 2(x-3)

= x^2 - 3x -2x + 6

= x^2 -5x + 6


Related Questions

7 times the sum of a number and 4 is the same as 8 decreased by 3 times a number

Answers

7(x4) = 8-x

x= -2

your first step would be to move your 3x to the other side of the equation by adding 3x to both sides after this your equation should look as follows: 7(4+x)+3x=8 2nd: you should distribute your 7 to the numbers inside of the parentheses and combine like terms to get 10x+28=8 then you move your 28 to the other side by subtracting 28 and you will get 10x=-20 divide by ten to get the answer which is x=-2

Edit: Sorry for the answer before. I realised my mistake.

TRANSFORM THE GIVEN QUADRATIC FUNCTION INTO THE FORM y=a(x-h)²+k
1. y=x²+4x+5 ​

Answers

Answer:

(x²-2)+1

Step-by-step explanation:

(x²-2)-2²+5

(x²-2)+1

Help me please !!!!!!!!!

Answers

Last one

Hope this helps.

Brainliest please

A bakery is makes 120 cookies for St.Patrick's Day. 42% of the cookies have
eprechauns as decorations. How many cookies have leprechaun decorations?

Answers

Answer:

50.4 cookies (50 cookies)

Step-by-step explanation:

Make 42% into a decimal = 0.42

0.42x120=50.4

pls help with this problem

Answers

Answer:

d

Step-by-step explanation:

Answer:

hi its D

Step-by-step explanation:

you are seeing two similar things and each of them are showing 3 parts of 8 parts of the shape so

[tex]2 \times \frac{3}{8} [/tex]

13) Are these comparisons TRUE or FALSE? 1/4< 3/4 7/3 > 5/3 2/3 > 2/8​

Answers

Answer:

They are all correct

Step-by-step explanation:

Answer:

Umm...

Step-by-step explanation:

1/4<3/4                              True

7/3>5/3                                           True

2/3>2/8                                    True

I HAVE 5 MINUTES LEFT HELPPPP PLEASE IM BEGGING!!!!

Which representation shows y as a function of x???

Answers

Answer:

It is B and D

Step-by-step explanation:

They are both x and y functions

On a map, 3 inches represents 50 miles. Which proportion can be used to find the actual distance represented by 5 inches on the map?
StartFraction 3 over 50 EndFraction = StartFraction x over 5 EndFraction
StartFraction 3 over 50 EndFraction = StartFraction 5 over x EndFraction
StartFraction 3 over x EndFraction = StartFraction 50 over 5 EndFraction
StartFraction x over 3 EndFraction = StartFraction 50 over 5 EndFraction

its b btw

Answers

Answer:

3/50

Step-by-step explanation:

Answer:

104

Step-by-step explanation:

i took the assignment<3

Which kind of triangle exists if the side measures are 3, 9, and 10?


i thought the answer was acute but my teacher marked it wrong and told me the correct answer was obtuse could someone explain why it would be obtuse?

Answers

Step-by-step explanation:

    There is a rule that if c^2 > a^2 + b^2, then it is an obtuse triangle.

    *c is the longest side

     I attached more information on it below.

I NEED HELP ASAP, QUESTIONS IN ON THE IMAGE

Answers

Answer:

i think 140 but im not so sure

Step-by-step explanation:

h(x) = x^2 + 2 - x
g(x) = 4x + 5
find (h - g) (x/3)

Answers

Answer:

 x^2 - 15x - 27

----------------------  (Answer C)

             9

Step-by-step explanation:

(h - g)(x) is the difference between funcions h and g.  Subtract g(x) from h(x) as follows:

 x^2 + 2 - x

-(4x + 5)

-------------------

x^2 - 5x - 3  =  (h - g)(x)

To find (h - g)(x/3), substitute x/3 for x in x^2 - 5x - 3  =  (h - g)(x), obtaining:

(x/3)^2 - 5(x/3) - 3

We must expand this and then combine like terms:

x^2/9 - (5/3)x - 3

The LCD of these three terms is 9.  The first term stays as is.  The second term becomes (15/9)x.  The third term becomes 27/9.

Combining these three terms, all with denominator 9, we get:

 x^2 - 15x - 27

----------------------

             9

This matches Answer C.

What point would be the reflection across the x-axis for the point, (7,2)?

Answers

Answer:-7,2

Step-by-step explanation: It will be because only the X side changes

Answer:

(7,-2)

Step-by-step explanation:

NOTE: Angles not necessarily drawn to scale. What does X equal?

Answers

Answer:

x=45

Step-by-step explanation:

∠FEDstart color #1fab54, angle, F, E, D, end color #1fab54 and \blueD{\angle{x}}∠xstart color #11accd, angle, x, end color #11accd combine to form \angle{AED}∠AEDangle, A, E, D, which is a vertical angle with \goldD{\angle CEB}∠CEBstart color #e07d10, angle, C, E, B, end color #e07d10 because is opposite from \goldD{\angle CEB}∠CEBstart color #e07d10, angle, C, E, B, end color #e07d10.

Vertical angles are congruent, so \greenD{\angle{FED}} +\blueD{\angle{x}} = \goldD{\angle CEB}∠FED+∠x=∠CEBstart color #1fab54, angle, F, E, D, end color #1fab54, plus, start color #11accd, angle, x, end color #11accd, equals, start color #e07d10, angle, C, E, B, end color #e07d10.

Hint #22 / 2

\begin{aligned}\greenD{\angle{FED}} +\blueD x&= \goldD{160^\circ} \\\\ \greenD{115^\circ} + \blueD x &= \goldD{160^\circ} \\\\ \blueD x & = 45^\circ \end{aligned}

∠FED+x

115

+x

x

 

=160

=160

=45

Solve for 4(3x - y) -2(4y - 5x) =

Answers

Answer:22x-12y

Step-by-step explanation:

Model the following problem with a quadratic equation. Then solve.
Find the length of a side of a square with an area of 180 ft^2.
Model the problem with a quadratic equation. Let x be the length of a side of the square.

Answers

Answer &

Step-by-step explanation:

area = length(width) = x(x) = x²

180 = x²

x² - 180 (quadratic equation)

Solve:

✓180 = ✓36✓5 = 6✓5 ≈ 13.42 ft = x

Answer:

[tex]x=6\sqrt{5}[/tex]

Step-by-step explanation:

1) A = s²

180 ft² = x²

180 = x²

x = x² -180

x²-180 =0

11) x² - 180 = 0

x² =180

x=[tex]\sqrt{36.5}[/tex]

x=[tex]6\sqrt{5}[/tex]

hope it helps

Can someone please check my answer??!!

Answers

The answer would be the last one “The graph shifts 7 units to the left and 8 units up”

If you had 11 pieces of licorice to share equally among 5 people, how much licorice would each person get?

Answers

Answer:

everyone would get 2 and there would be 1 leftover

Step-by-step explanation:

2 for each and 1 left over

Write the equation of the line that passes through the points (4,7) and (8,6). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

y=-1/4x+8

First find the slope

Slope= y-y1/x-x1

So (6-7)/(8-4) = -1/4

Now take that slope and use one of the points and plug them into the point slope formula to solve for your y intercept.

Point slope formula: y=mx+b

So 7=-1/4(4)+b OR 6=-1/4(8)+b

Either way you’ll get b=8!

Put em together and you get: y=-1/4x+8

Ps you can double check your answer by plugging in one or both of the points into your equation to see if it works :)



Answer:

y - 7 =  [tex]-\frac{1}{4}[/tex] (x - 4)

Step-by-step explanation:

Find Slope: m = [tex]\frac{y_{2-}y_{1} }{x_{2-}x_{1} }[/tex]

m = [tex]\frac{6-(7)}{8-(4)}[/tex]

m = [tex]\frac{-1}{4}[/tex]

Point Slope Form: y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )

y - 7 = [tex]-\frac{1}{4}[/tex] (x - 4)

Kay's Dessert Shop bakes cookies. The ratio of chocolate chip to sugar cookies baked is always 5 to 2. If she bakes 210 cookies in one day, how many were sugar cookies? 50 points

Answers

Answer: 60

Step-by-step explanation:

Given

The ratio of chocolate chip to sugar cookies is 5:2

If she bakes 210 cookies in one day

Suppose she baked x amount of chocolate chips on that day

So, we can write

[tex]\Rightarrow x=\dfrac{2}{5+2}\times 210\\\\\Rightarrow x=\dfrac{2}{7}\times 210=60[/tex]

There were 60 sugar cookies on that day

What is the acceleration of a plane that increases its speed from 800 kilometers per hour to 860 kilometers per hour in 5 seconds?

Answers

I came up with 43,200 km/h^2

Pls help me with this question

Answers

Answer:

242

Step-by-step explanation:

3*4/2*2 + 5*8*3 = 242


is 10 times as much as 6.

Answers

Answer:

60

Step-by-step explanation:

10*6= 60 if thats what you wanted lol

Solve this inequality for x: - 3(x + 3) > 30

Answers

Answer:

x<-13

Step-by-step explanation:

−3(x+3)>30

Divide both sides by −3. Since −3 is negative, the inequality direction has changed.

x+3<30/-3

Divide 30 by −3 to get −10.

x+3<−10

Subtract 3 from both sides.

x<−10−3

Subtract 3 from −10 to get −13.

x<−13

Graph for inequality:

Students were asked how many hours they read in a week. Is this a good example of a statistical question? Why or why not?
Yes, this is a good statistical question because a variety of answers are given.
Yes, this is a good statistical question because there are not a variety of answers that could be given.
No, this is not a good statistical question because there are not a variety of answers that could be given.
No, this is not a good statistical question because there are a variety of answers that could be given.

Answers

Answer:

a. Yes, this is a good statistical question because a variety of answers are given.

Pls mark as brainliest!

Answer:

Step-by-step explanation:

Yes, this is a good statistical question because there are not a variety of answers that could be given.

Which rational exponent represents a square root?
А. 1/3
B. 1/2
C. 3/2
D. 1/4

Answers

The exponent 1/2 represents a square root. The number on top of the fraction is the and the denominator represents the index of the radical.

Wich graph matches the equition y=-6x+3

Answers

Answer:

Option 1

Step-by-step explanation:

(I have limited time so am putting the explanation in numbers)

y = -6x(Slope) + 3(y-int.)

Find x

3 + -6x = y

-3            -3

-----------------

-6x=y-3

-6x/6 = y - 3/6

x = y - 3/ 6

The closest graph to this would be the first one.

Hope this helps :)

Answer:

Option 1

Step-by-step explanation:

-6 is the slope, another way this slope can be written is rise over run, or   [tex]\frac{-6}{1}[/tex].

Because the y value is decreasing the slope is negative. Also, 3 is the  

y-intercept, meaning it crosses the y axis on the graph.  Put this together and it shows option 1 is correct

Pls help math trig I missed one day

Answers

21.....................

What is the area of the triangle below (in square units)?
1 yd
1 yd

Answers

Step-by-step explanation:

The area of a triangle is calculated by multiplying height to the base and that divided by two

1 × 1 ÷ 2 = 1/2 yd^2 or 0.5 y^2


someone please help me

Answers

Answer:

AC should be 42

Step-by-step explanation:

35 divided by 7 is 5 same goes with 56 divided by 8 so 6x7 is 42

the Scale factor should be 7:1

Answer:

Line AC's length is 42

Step-by-step explanation:

35 divided by 5 is 7

56 divided by 8 is 7

42 divided by 6 is 7

Which statement about these triangles is true?

(Image)


A. The dilation is an enlargement

B. The dilation is a reduction

C. It is not a dilation

D. There is not enough information

Answers

the answer is D.

there is not enough information

Answer:

d

Step-by-step explanation:

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