Sammy factored the polynomial x2 + x - 6. She came up with the factors of
(x-3) and (x-2). Describe and correct the error.

Answers

Answer 1

Answer:

(x+3) and (x-2) are the correct factors

Step-by-step explanation:

If we expand (x-3)(x-2), we see that it equates to x²-5x+6, which is not what we want. The correct factors would be (x+3)(x-2) since the middle term's coefficient becomes 1 as 3-2=1 whereas -3-2=-5.


Related Questions

What is is b? 2-b/3 =-5/2

Please explain thoroughly

Answers

Answer:

I'm not sure you mean 2-(b/3) = -5/2 or (2-b)/3 = -5/2

Step-by-step explanation:

if

2-(b/3) = -5/2

12-2b = -15

12+15 = 2b

27 = 2b

27/2 = b

else

(2-b)/3 = -5/2

2(2-b) = -5×3

4-2b = -15

4+15 = 2b

19 = 2b

19/2 = b

What is the gradient?

Answers

Answer:

The gradient is negative.

Step-by-step explanation:

The gradient represents the rise/run ratio. Always read the line's path left to right, and if it goes up, then it is positive, down means negative gradient, and if it doesnt move then it 0. It is undefined if the line is vertical.

ratio
a. L
b. bozo
d. your life is bad
c. ratio again

Answers

Answer:

d

Step-by-step explanation:

The Answer is d for sure

Solve for x:
4x-3Divided by 2 =5/3

Answers

Answer:

x=19/12

Step-by-step explanation:

(4x-3)/2 = 5/3

4x-3 = 10/3

3 = 9/3

4x = 10/3 + 9/3 = 19/3

x = 19/12

Hey there!

4x - 3/2 = 5/3

ADD 3/2 to BOTH SIDES

4x - 3/2 + 3/2 = 5/3 + 3/2

CANCEL out: -3/2 + 3/2 because it gives you 1

KEEP: 5/3 + 3/2 because it helps solve for the x-value.

NEW EQUATION: 4x = 5/3 + 3/2

SIMPLIFY IT!

4x = 19/6

DIVIDE 4 to BOTH SIDES

4x ÷ 4 = 19/6 ÷ 4

CANCEL out: 4 ÷ 4 because it gives you 1

KEEP: 19/6 ÷ 4 because it helps solve for the x-value

NEW EQUATION: x = 19/6 ÷ 4

SIMPLIFY IT!

x = 19/24

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

hey guys I could really use some help on this.

Answers

Answer:

y = - [tex]\frac{10}{3}[/tex] x - 23

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (- 9, 7 ) and (x₂, y₂ ) = (- 6, - 3 )

m = [tex]\frac{-3-7}{-6-(-9)}[/tex] = [tex]\frac{-10}{-6+9}[/tex] = [tex]\frac{-10}{3}[/tex] = - [tex]\frac{10}{3}[/tex] , then

y = - [tex]\frac{10}{3}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 6, - 3 ) , then

- 3 = 20 + c ⇒ c = - 3 - 20 = - 23

y = - [tex]\frac{10}{3}[/tex] x - 23 ← equation of line

Answer:

y= -10x/3 + 1

Step-by-step explanation:

gradient of a line= (Y2-Y1)/(X2-X1)

= (-3-7)/[-6-(-9)]

=-10/3

equation of a line

(Y-Y1)/(X-X1)= gradient

(Y-7)/(X+9)= -10/3

3(Y-7)= -1d0(X+9)

3y-21= -10x -19

3y= -10x + 3

dividing both sides by 3

y= -10x/3 + 1

1 minute is equal to 60 seconds. How many seconds are in 3 minutes, 37 seconds?

Answers

Answer:

217 Seconds.

Step-by-step explanation:

The answer is 217 seconds because 60x3+37=217.

Given the following acceleration function of an object moving along a line, find the position function with the given initial velocity and position.
a(t) = -24; v(0) = 17, s(0) = 0
s(t) =

Answers

Answer:

Position function is [tex]s(t)=-12t^2[/tex]

Step-by-step explanation:

Given [tex]a(t)=-24[/tex], since velocity is the antiderivative of acceleration, then [tex]v(t)=-24t[/tex].

Also, since position is the antiderivative of velocity, then [tex]s(t)=-12t^2[/tex].

Find the area and perimeter of the shape given below.

Answers

Answer:

perimeter: 14+5+6+6+8+10=59

area: 14x5x6x10=4200

perimeter means adding all the sides including the ones that arent labeled, and the area is multiplying all the numbers included.

45
899
769
459
X?
Use the exterior angle sum to find the value of x in the diagram
above.
A.72
B.105
C.108
D.435

Answers

Answer:d

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

can someone please help me with this and the first to answer will get marked as brainiest also i need the work to be shown cause i know the answer but just not the work cause i’m confused pls help

Answers

Answer:

x = 3

Step-by-step explanation:

a triangle has 180 degrees in all

a square for an angle is 90 degrees

we can add them all together and get 180

90 + 45 + 8x + 21 = 180

combine like terms

156 + 8x = 180

subtract 156 to each side

8x = 24

then find x

x = 3

Answer:

x=3

Step-by-step explanation:

So the sum of angles of triangle is always 180 degrees.

We already have 45 and 90 but 8x+21 is unknown.

We can solve this by making an equation which is

45 + 90 + (8x+21) = 180.

If we solve this it will be

8x+21+135=180

8x+156 (-156) =180 (-156)

8x (/8) = 24 (/8)

x=3

Given 2 angles that measure 50 and 80 and a side that measure 4 feet how many triangles if any can be condctuted

Answers

Answer:

The number of unique triangles that can be constructed from the given values is; Only one triangle

Step-by-step explanation:

We are given the 2 angles of a triangle as;  

∠1 = 50°  

∠2 = 80°  

Now, we know that sum of angles in a triangle is 180°. This means that if the third angle is denoted as ∠3, then we have;  

∠1 + ∠2 + ∠3 = 180°  

Thus;  

∠3 = 180 - (∠1 + ∠2)  

∠3 = 180 - (50 + 80)  

∠3 = 180 - 130  

∠3 = 50°  

Thus; ∠1 = ∠3 = 50°  

A triangle with two equal angles is called an isosceles triangle. Which means that it will also have 2 of its' sides to be equal.  

Thus, in conclusion, only one unique triangle can be drawn.

I need some urgent help please

Answers

Answer:

124°

Step-by-step explanation:

180°( n - 2 )

180° ( 5 - 2 ) = 540°

( 2x - 3 )° + ( 3x - 2 )° + 2( 3x - 4 )° + ( 2x + 7 )° = 540°

( 2x + 3x + 6x + 2x ) + ( - 3 - 2 - 8 + 7 ) = 540

13x - 6 = 540

13x = 546

x = 42

3(42) - 2 = 124°

Yuan wrote 17 letters to friends each month for x months in a row. Write an expression to show how many total letters Yuan wrote.

Answers

D 17x
This is because you’re not adding or subtracting months from your 17 letters. So cross A and C out. And you’re not dividing the number of letters by months. So cross B out. You’re left with D and this is correct because 17 letters EACH month. EACH is telling us that you multiply 17 and x.

Help , please ?? If you can thank you ..4 more

Answers

[tex]14+3c^2-15+c\\\\=14+3(4^2)-15+4\\\\=3(16)-1+4\\\\=48+3\\\\=51[/tex]

Which of the following is a solution of x2+5x=-2
A.5+ √33
———-
2
B. 5+ √17
———-
2

C.-5+ √33
———-
2
D. 5+ √17
———-
2

Answers

x^2 + 5x = -2

x^2 + 5x + 2 = 0

We need to use the quadratic formula.

In the formula, a = 1, b = 5 and c = 2.

See picture for quadratic formula. Plug in the value for a, b, and c into the formula and do the math.

If f(x) and g(x) are inverse functions, find f(g(x)).
A)
-1
B)
0
C)
1
D)
х

Answers

Answer:

x.

Step-by-step explanation:

f(g(x)) = x.



Which term has the definition "A relationship in which two variables change at the same rate

Answers

positive correlation

(i believe thats what it is)

ivan earns $8 each time he walks his neighbors dog.He already walked the dog 5 times

Answers

Answer:

8 x 5..

Step-by-step explanation:

45$

Answer:

SO if you were to find how much Ivan make

So 8 dollars each time he walks his neighbors dog.

ANd already 5 times.

So we can do 8*5=40

$40 earned

Write the word sentence as an equation. Then solve.

The sum of a number a and 12 is -6.

Answers

Answer:

a + 12 = -6 , a = -18

Step-by-step explanation:

Hi there!

the first half of the statement says “the *sum* of a number a and 12, so we can write that as a+12. The second half of the statement says that the sum of both of those values is -6, meaning that a + 12 = -6. Knowing this, we can now solve. In order to isolate a, subtract 12 from both sides of the equation. You will be left with a = -18.

Hope this helps!

what is 1800/1254
[tex]1800 \div 1254[/tex]

Answers

1.44 (when rounded to the hundredth decimal point)

Which inequality represents this statement?

The product of −6 and a number is no less than −12.


−6n≤−12

−6n>−12

−6n≥−12

−6n<−12

Answers

Answer:

−6n≥−12

Step-by-step explanation:

The correct inequality to show the given statement is,

⇒ - 6n ≥ - 12

Where, 'n' is any number.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The statement is,

''The product of - 6 and a number is no less than - 12.''

Now, Let a number = n

So, We can formulate the correct inequality is,

⇒ - 6n ≥ - 12

Learn more about the inequality visit:

https://brainly.com/question/25944814

#SPJ2

Madie drove 200 miles at a speed of 50 miles per hour. Which equation will help you find the number of hours she was driving?
StartFraction 50 miles Over 1 hour EndFraction = StartFraction 200 miles Over question mark hours EndFraction
StartFraction 50 miles Over 1 hour EndFraction = StartFraction question mark hours Over 200 miles EndFraction
StartFraction 200 miles Over 1 hour EndFraction = StartFraction 50 miles Over question mark hours EndFraction
StartFraction 200 miles Over 1 hour EndFraction = StartFraction question mark hours Over 50 miles EndFraction

Answers

she drove for 4  hours

Answer:

the person above me is wrong its not an option for me ;-;

Step-by-step explanation:

Help Meeeeee again plzzzzzzzzz

Answers

Answer:

53

Step-by-step explanation:

pls give me brainlest

i'd appreciate someones help !!!

Solve for angles x, y, and z. In the answer choices, the first number is for angle x. The second number is for angle y.
The third number is for angle z.
A)
65, 65, 65
B)
65, 115,65
C)
115, 65, 115
D)
115, 115, 115

Answers

I think its C sorry if its wrong

In a newspaper, it was reported that the number of yearly robberies in Springfield in 2011 was 250, and then went up by 20% in 2012. How many robberies were there in Springfield in 2012?

Answers

First, we need to find out what 20% of 250 is

250 x .2 = 50

You then add the answer (50) to the yearly number of robberies in Springfield in 2011 (250)

250 + 50 = 300

The number of robberies in Springfield in 2012 is 300

The first three terms of a geometric sequence are as follows.
-10, -30, -90
Find the next two terms of this sequence.
Give exact values (not decimal approximations)

Answers

Answer:

-270,810

Step-by-step explanation:

c.r.  r=-30/-10=3

[tex]a_{n} =a_{1}r^{n-1} \\a_{4}=-10(3)^{4-1}\\=-10(3)^3=-10 \times 27=-270\\a_{5}=-10 \times(3)^{5-1}\\=10 \times3^4\\=-810[/tex]

Please help me with equation and more points for you if you can help me with how to approach these types of questions in the future, thanks!

Consider the following formula:

T = 4S – 1

Which of the following statements is true for this formula?

A. If S is greater than 0.5, T is positive.
B. If S is less than 1, T is negative.
C. If S is less than -0.25, T is positive.
D. If S is less than 0.25, T is positive.

Answers

A. If S is greater than 0.5, T is positive.

The others are false

Which statement is true about the function f(x)= Vx?
O The domain of the graph is all real numbers.
O The range of the graph is all real numbers.
O The domain of the graph is all real numbers less than or equal to 0.
O The range of the graph is all real numbers greater than or equal to 0.

Answers

Answer:

The statement "the range of the graph is all real numbers greater than or equal to 0" is true.

Step-by-step explanation:

As the function is given by

                                             

As we know that the domain is the set of all possible input values or all  x -values that a function passes through.  In other words, domain consists of all the possible input values shown on the x-axis.

Range is the set of all y-values that a function passes through. In other words, range consists of all the possible output values shown on the y-axis.

For the given function

                                       

The domain of the given function  

The domain of  can also be written as: {x | x ≥ 0}

It means the domain of the graph of this function is all real number greater than or equal to 0.

The domain of the graph of this function can not be less than zero, because if we put any negative real number in this function, it would make the the function undefined.

Please check the attached graph as shown in figure a, to visualize the domain and range of  

From the graph.

it is visible that the range of the given function  

The range of  can also be written as: {y | y ≥ 0}

In other words, for every input value in the domain of this function, the range of   will be all real numbers greater than or equal to 0. Please see the attached graph as shown in figure a.

So, from the entire discussion, we can safely say that the statement "the range of the graph is all real numbers greater than or equal to 0" is true.

what is the example of a product that will have the same number of zeros in the factors and the products? what is one example of a product that will not have the same numbers of zeros in the factors as the product​

Answers

Answer:

same: 30×40 = 1200different: 20×50 = 1000

Step-by-step explanation:

Same: 30×40 = 1200 . . . . . 2 zeros in the factors; 2 in the product

Different: 20×50 = 1000 . . . 2 zeros in the factors; 3 in the product

__

Same: 0.3×0.4 = 0.12 . . . . no zeros in the factors; no zeros in the product

Different: 0.2×0.4 = 0.08 . . . no zeros in the factors; 1 zero in the product after the decimal point

_____

For a product, the number of zeros will be different if the combined factors of the numbers increase the number of factors of 10 beyond the sum of the factors of 10 of the numbers being multiplied.

Example: neither 2 nor 5 has a factor of 10, but their product does.

__

For a product that is a decimal fraction, the number of leading zeros will increase if the product of the mantissas of the numbers is less than 10. The number of trailing zeros will increase under the conditions discussed above. (0.25×0.4 = 0.100)

_____

Additional comment

Here, the term "mantissa" is used to refer to the portion of the number written in scientific notation that multiplies the power of 10.

[(1 1/5−2/5)⋅(−3/4)3]÷(−9)

Answers

Given that:

[{1(1/5)−(2/5)⋅(−3/4)3}]÷(−9)

= [{(5+1)/5 - (2/5).(-3/4)3}]÷(-9)

= [{(6/5) - (2/5).(-3/4)3}]÷(-9)

= [{(6/5) - (2/5).(-3/4)3}]÷(-9)

= [{(6/5) - (2/5).(-3*3)/4}]÷(-9)

= [{(6/5) - (2/5) . (-9/4)}]÷(-9)

= [{(6/5) - (2/5) × (-9/4)}]÷(-9)

= [{{6/5) - {{2*(-9)}/{5*4}]}]÷(-9)

= [{(6/5) - {-9/(5*2)}}]÷(-9)

= [{(6/5) - (-9/10)}]÷(-9)

Take the LCM of 5 & 10 is 10.

= [{(6*2 + 9*1)/10}]÷(-9)

= [{(12+9)/10}]÷(-9)

= [{-(21/10)}]÷(-9)

= -(21/10) ÷ (-9)/1

= -(21/10) × (1/9)

= {(-21*1)/(10*9)]

= {-21/90)

= {(-21÷3)/(90÷3)}

= -9/30

= {(-9÷3)/(30÷3)}

= (-3/10) = -3/10 Ans.

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