Simplify the expression. (3x2 – 4x + 1) + (-x2 + x – 9)

Answers

Answer 1

Answer: 2x2−3x−8

Step-by-step explanation:


Related Questions

hello, i need help pleaseeeeeeeeeeeeeeee

Answers

Answer:

f₁(x) = -3x + 2

f₂(x) = x - 4

f₃(x) = x + 8

f₄(x) = -2x - 6

f₅(x) = -3x

Step-by-step explanation:

1). Since function f₁ (blue line) passes through a point (0, 2) and (-2, 8)

Let the equation of the blue line is,

y = mx + b

Since slope of the line 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m = [tex]\frac{8-2}{-2-0}[/tex]

m = -3

Y-intercept 'b' = 2

Therefore, equation of the line will be,

y = -3x + 2

Linear function representing the line will be,

f₁(x) = -3x + 2

2). Let the equation of the red line passing through (0, -4) and (2, -2) is,

y = mx + b

Slope of the line 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m = [tex]\frac{-4+2}{0-2}[/tex]

m = 1

y-intercept 'b' = -4

Therefore, the linear function will be,

f₂(x) = x - 4

3). Let the equation of the green line passing through (-6, 2) and (-2, 6) is,

y = mx + b

Slope of the line 'm' = [tex]\frac{6-2}{-2+6}[/tex]

m = 1

y-intercept 'b' = 8

Therefore, linear function will be,

f₃(x) = x + 8

4). Let the equation of the yellow line passing through (-6, 6) and (-4, 2) is,

y = mx + b

Slope of the line = [tex]\frac{6-2}{-6+4}[/tex]

m = -2

y-intercept of the line 'b' = -6

Therefore, function representing the line will be,

f₄(x) = -2x - 6

5). Let the equation of the pink line is passing through (0, 0) and (-2, 6) is,

y = mx + b

Since the line is passing through origin, y-intercept 'b' = 0

Slope of the line = [tex]\frac{6-0}{-2-0}[/tex]

m = -3

Therefore, equation of the linear function will be,

f₅(x) = -3x

an elevator at a museum can travel 210 m upwards in 35 s. what is the elevators velocity

Answers

Answer:

6 meters per second upwards

Step-by-step explanation:

Hello!

To find velocity you divide the distance by the time it took to travel then you add your direction to it

The elevator went 210 m upwards in 35 seconds so we divide these numbers

210 / 35 = 6 meters per second upwards

The answer is 6 meters per second upwards

Hope this Helps!

¿Qué pasa si el coeficiente del término cuadrático no es 1?

Answers

Answer:

NOT IN MY HOUSE SUNNY

Step-by-step explanation:

A. 115
B. 167
C. 126
D. 96

Answers

Answer:

126

Step-by-step explanation:

Let x be the missing length

The triangles are similar:

● UE/140 = 45/x

From the graph we deduce that:

● UE = 140 - 90 = 50

Replace UE by its value

● 50/ 140 = 45/x

Switch x and 50

● x / 140 = 45/50

45/50 is 9/10 wich is 0.9

● x/140 = 0.9

Multiply 0.9 by 140

● x = 140 × 0.9

● x = 126

Answer:

I think its c 126

Step-by-step explanation:

Find the perimeter of the rectangle with a A. 11 in. B. 22 in. C. 28 in. D. 56 in.

Answers

Answer:

B.22

Step-by-step explanation:

4+4+7+7=22

NEED ASAP What is the quotient and remainder of 8,595 ÷ 24?

Answers

Answer:

358.125

Step-by-step explanation:

Answer:

358 3/24

Step-by-step explanation:  

Using the right triangle below, find the tangent of angle B.

A
600
0
3-13
300
B

Answers

Answer:1&3

Step-by-step explanation:

find the series in which
5th term is 22/16 and 4th term is -4​

Answers

Answer:

The series is given as follows;

[tex]-\dfrac{161}{8} , \ -\dfrac{59}{4} , \ -\dfrac{75}{8}, \ -4, \ \dfrac{22}{16} ......[/tex]

Step-by-step explanation:

Assuming the series is an arithmetic progression, (AP), series, we have

The nth term of the desired series = a + (n - 1)×d

Where;

a = The first term

n = The position of the term in the series

d = The common difference

Given that the 5th term = 22/16 and the 4th term = -4, we have;

d = The difference between consecutive terms = Difference between the 5th term and the 4th term

∴ d = 22/16 - (-4) = 43/8 = 5.375

22/16 = a + (5 - 1)×5.375

∴ a = 22/16 - 4×5.375 = -20.625

The series is therefore;

[tex]-\dfrac{161}{8} , \ -\dfrac{59}{4} , \ -\dfrac{75}{8}, \ -4, \ \dfrac{22}{16} ......[/tex]

Determine the standard form of the equation of the line that passes through (-6, 6) and (3, -2). A. -8x + 9y = -6 C. -8x -9y = 6 B. 8x + 9y = 6 D. 9x - 8y = 6

Answers

Answer:

  B.  8x + 9y = 6

Step-by-step explanation:

You can eliminate answer choices A and C because their leading coefficient is negative. In standard form, the leading coefficient is positive.

For the remaining two equations, you can check to see if the given points are on the line

B: for point (-6, 6), we want 8(-6) +9(6) = 6 . . . true

  for point (3, -2), we want 8(3) +9(-2) = 6 . . . . true

The appropriate equation is 8x +9y = 6.

D: (we don't need to check to know it won't work after the above)

__

The equation in standard form, can be written from ...

  (Δy)(x -a) = (Δx)(y -b) . . . . . for some point (a, b)

The values of Δx and Δy are the differences between corresponding coordinates.

  Δy = 6 -(-2) = 8

  Δx = -6 -3 = -9

For point (-6, 6), the above equation becomes ...

  8(x +6) = -9(y -6)

  8x +48 = -9y +54 . . . . eliminate parentheses

  8x +9y = 6 . . . . . . . . . . add 9y-48

Need help on the third question. how do i generalise the number of ways to win.(check the attatchment)

Answers

Answer:

  2n+2 ways to win

Step-by-step explanation:

You generalize by observing patterns in the way you solve the smaller problems.

The number of winning moves is 2n+2: the total of the number of diagonals, columns, and rows.

For an n×n board, there are 2 full-length diagonals, n columns, and n rows, hence 2+n+n = 2n+2 ways to win.

The combined weight of three basset hounds is 185 pounds. The two smaller dogs weigh the same. The difference between the larger weight and the smaller weight is 20 pounds. How many pounds does the largest dog weigh?

Answers

Answer:

75 pounds

Step-by-step explanation:

(x) + (x) + (x+20) = 185

3x + 20 = 185

3x = 165

x = 55

Large dog = 55 + 20 = 75

Which of these relations are functions?
х
O
-2 6 2 -6
-5 21 15-15
y
11
y
4
2
O
x
4
-2
4
o
{(-5,-7), (-2,-7), (7,17), (-5,21)}
y

Answers

For each value of y, the number of value of x must be one. Then the correct options is D.

The complete question is attached below.

What is relation function?

The relation function is given as, for every independent value, there is a dependent value.

Let the function be y = f(x).

For each value of x, the number of value of y may one or two.

But for each value of y, the number of value of x must be one.

Then the correct options is D.

More about the relation function link is given below.

https://brainly.com/question/2253924

#SPJ1

If x^2 -8x=48 and x<0, what is the value of x+10?

Answers

Answer:

6

Step-by-step explanation:

To calculate x+10, we first need to find x. To do this, we can use the first equation.

We are given the equation:

[tex]x^2-8x=48[/tex]

To solve for x, turn one side of the equation into 0 and solve. Therefore:

[tex]x^2-8x=48\\x^2-8x-48=0\\(x-12)(x+4)=0\\x=-4, 12[/tex]

So, the possible values for x are -4 and 12.

However, we are also told that x<0. In other words, x must be negative. Thus, we can remove 12. That leaves us with: x=-4.

So:

[tex]x+10\\(-4)+10\\=6[/tex]

x^2 -8x - 48 = 0
(x-12)(x+4) = 0
x=12, x=-4
Since x<0, x must be -4
Therefore, -4+10=6

The population distribution of SAT scores is normal with a mean of μ=500 and a standard deviation of SD=100. For example, what is the probability of randomly selecting an individual from this population who has an SAT score greater than 700?

Answers

Answer:

0.02275

Step-by-step explanation:

We use the z score formula to solve for this

z-score is given as: z = (x-μ)/σ

where x is the raw score,

μ is the population mean

σ is the population standard deviation

In the above question:

mean of μ=500

a standard deviation of SD=100

raw score x = 700

Hence, z score = (700 - 500)/ 100

= 200/100

= 2

z score = 2

Using the z score table of normal distribution to find the Probability of z = 2

P( x = z)

= P(x = 700)

= P( z = 2)

= 0.97725

P(x>700) = 1 - P(x = 700)

= 1 - 0.97725

= 0.02275

Therefore, the probability of randomly selecting an individual from this population who has an SAT score greater than 700 is 0.02275

show that the point p(-6,2), Q(1,7) and R(6,3) are the vertices of scalene triangle​

Answers

Answer:

  the sides are different lengths as shown in the diagram

Step-by-step explanation:

Plotting the three points, you can see by "inspection" that the middle length side (PQ) is longer than the shortest side (QR) and shorter than the longest side (PR). You could use the distance formula to show this, or you can use a scale to measure the drawing.

A triangle with three unequal sides is a scalene triangle. ∆PQR is scalene.

Complete the recursive formula of the geometric sequence 7, -14, 28, -56, ....

Answers

Answer:

[tex]a_{n}[/tex] = - 2[tex]a_{n-1}[/tex]

Step-by-step explanation:

A geometric recursive formula has the form

[tex]a_{n}[/tex] = r[tex]a_{n-1}[/tex]

where r is the common ratio

Here r = - 14 ÷ 7 = - 2, thus

[tex]a_{n}[/tex] = - 2[tex]a_{n-1}[/tex] with a₁ = 7

classify What type of number is the square root of 2 ​

Answers

Answer:

The square root of 2, or the (1/2)th power of 2, written in mathematics as √2 or 2​1⁄2, is the positive algebraic number that, when multiplied by itself, equals the number 2. Technically, it is called the principal square root of 2, to distinguish it from the negative number with the same property

Step-by-step explanation:

Math help on functions? Will award brainliest answer

Answers

Answer:

The manatee was swimming very passively when all of a sudden it saw a  parrot fish! The parrot fish was considered incredibly rare where the manatee lived and was very playful with manatees. The manatee chased the parrot fish but as if playing tag, the parrot fish agilely swam farther and farther away. At this point the manatee and parrot had been playing "tag" for 300 seconds and were 1000 feet away from the dock where the manatee lived. Eventually when the manatee and parrot fish hit 400 seconds, the manatee became exhausted and decided to head back to the dock but all of a sudden the parrot fish slapped it with its fins! Unable to take the provocation the manatee became filled with vigor once again and started playing again but at the 500 mark it truly became exhausted and no longer could play regardless of what the parrot fish did and headed back to the dock. It took 150 seconds to get back to the dock and it had been away from the dock for 650 seconds.

During a catered lunch =, an average of 4 cups of tea are poured per minute. The lunch will last 2 hours. How many gallons of tea should the caterer bring if there are 16 cups in one gallon?

Answers

Answer:

30 gallons of tea

Step-by-step explanation:

We are looking at the average of cups of tea per minute but we are given the time frame of lunch in hours, so first, we have to convert the hours to minutes:

There are 60 minutes in 1 hour and lunch is 2 hours long.  So, multiply 60 by 2 to get 120 minutes total.

Next, we have to find out the number of cups of tea poured during the lunch.  We have been told already that an average of 4 cups of tea are poured a minute.

Therefore, multiply 4 by the total number of minutes for lunch.  You will multiply 4 by 20 to get 480 cups of tea poured in total during the catered lunch.

Finally, we have to see how many gallons of tea the caterer should bring.  We should know that there are 16 cups in one gallon.

That means we have to divide the total number of cups poured by 16.  Divide 480 by 16 to get 30 gallons of tea that the caterer should bring.

HELLLLLPPPPP FASTTTT
What is the best estimate for the value of the expression? (StartFraction 34 over 8 EndFraction minus StartFraction 16 over 3 EndFraction) minus StartFraction 14 over 9 EndFraction Negative 3 Negative 2 and one-half 7 7 and one-half

Answers

Answer:

The best estimated value of the expression is negative 3

Step-by-step explanation:

What is the best estimate for the value of the expression? (StartFraction 34 over 8 EndFraction minus StartFraction 16 over 3 EndFraction) minus StartFraction 14 over 9 EndFraction

Solution

(34 / 8) - (16 / 3) - (14 / 9)

= 34/8 - 16/3 - 14/9

Find the sum

= 306 - 384 - 112 / 72

= -190 / 72

= -2 46 / 72

= -2 23 / 36

= -2.6389

Approximately -3

The best estimated value of the expression is negative 3

Answer:

The answer is -2 1/2,

Step-by-step explanation:

A tour group is going sea diving. Sea level is O feet. The ocean
floor is -18 feet. One diver is already at -11 feet. The tour guide
is keeping watch on the deck at 5 feet above sea level directly
above the diver. What is the distance from the tour guide to the
diver? Draw and label a number line to justify your answer.​

Answers

Answer:

16 feet.

Step-by-step explanation:

Please refer to the attached diagram for the clear understanding of the given question statement.

A is the position of tour guide on deck.

B is the sea level. (Can be considered as zero on the number line)

C is the position of Diver and

D is the point on ocean floor.

Below sea level dimensions are given as negative in the question statement.

As per given statement,

AB = 5 feet

BC = 11 feet (Ignoring the negative sign as negative sign only depicts that it is below sea level)

BD = 18 feet

To find:

Distance from tour guide to the diver = ?

Solution:

We have to actually find the value of AC here as per the image attached.

AC = AB + BC = 5 + 11 = 16 feet

Can someone please help! Thx

Answers

Answer:

Hey there!

The angle is 24 degrees.

The angle complementary to the 66 degrees is 24 degrees, and the unknown angle is also 24 degrees because these  are alternate interior angles.

Let me know if this helps :)

plz help me ASAP!!!! Graph the line that represents a proportional relationship between d and t with the property that an increase of 6 units in t corresponds to an increase of 7 units in d. What is the unit rate of change of d with respect to t? (That is, a change of 1 unit in t will correspond to a change of how many units in d?) The unit rate of change is . Graph the line.

Answers

Answer:

  7/6

Step-by-step explanation:

You have correctly graphed the line, so you know that the rate of change is ...

  ∆d/∆t = 7/6

d changes by 7/6 units for each unit change in t.

[fill in the blank]
In this figure,AB and CD are parallel.

AB is perpendicular to line segment_____. If the length of EF is a units, then the length of GH is_____units.

Answers

Answer:

1. GH

2. a

Step-by-step explanation:

Perpendicular: When 2 lines meet at 90 degrees

1. It is line segment GH because AB and GH meet at a 90 degree angle (since there is a box at angle GHF indicating that it is 90 degrees)

2. It has to be a units because it is a rectangle where the top and bottom are congruent and the sides are too

This is a rectangle since AB and CD are parallel and GH can be a transversal line, according to same side interior angles theorem EGH is a also 90 degrees. That means FEG is 90 degrees too because then the quadrilateral will add up to 360 degrees

jawaban dari 5x – 7 = 13 adalah....... dijawab ya....

Answers

Answer:

x = 4

Step-by-step explanation:

5x - 7 = 13

5x = 13 + 7

5x = 20

x = 20/5

x = 4

5x - 7 = 13
5x = 13+7
the sign must change bcoz U’re moving a - number to the other side of the equal sign.
5x/5= 20/5
X=4

Which could be the entire interval over which the
function, f(x), is negative?
(-8,-2)
(-8,0)
(-0, -6)
(00,-4)

Answers

The third option because it only becomes negative when it is less than 6 and stays that way; therefore, one can assume consistency.

The domain of this function is {-12, -6, 3, 15}. y=-2/3x+7 Complete the table based on the given domain.

Answers

Answer:

Step-by-step explanation:

Domain of a function represents the set of x-values (input values) and y-values (output values) of the function represent the Range of the function.

Given function is,

[tex]y=-\frac{2}{3}x+7[/tex]

If Domain (input values) of this function is,

{-12, -6, 3, 15}

Table for the input-output values of this function,

x        -6         3        15       -12

y        11         5         -3        15

Answer:

Step-by-step explanation:

a 4 1/2 hamburger patty has 25 1/2 grams of protein,and 6 ounces of fish had 32 grams of protein

Answers

Answer: 4.5 oz/25.5 g = 1 oz/X g  

Step-by-step explanation: Crossed multiplies to solve for X.

after allowing 20 percent discount on the marked price of a radio 15 percent vat is levied on it , if its price become rs 22080 ,what amount was levied in the vat​

Answers

Answer:

Step-by-step explanation:

Hello, let's say that the price was P, a real number.

After 20% discount it become P - 20% * P = P* (1-20%) = P * (1 - 0.2)

= P * 0.8

And then we take 15% for the VAT, the new price become P * 0.8 * ( 1 + 15%)

= P * 0.8 * 1.15

And this is equal to 22080, so

P * 0.8 * 1.15 = 22080

and the amount of the VAT is P *0.8 * 0.15

[tex]=\dfrac{22080}{1.15}*0.15=2880[/tex]

Hope this helps.

Thank you.

Can someone help find the domain and range

Answers

Answer:

Domain : [-2, 6], {x | -2 ≤ x ≤ 6}

Range : [-6, 2], {y | -6 ≤ y ≤ 2 }

Step-by-step explanation:

Domain of a function is defined by the x-values on the graph of the function.

Similarly, y-values define the Range of the function.

From the graph of a circle,

Diameter of the circle along x-axis (horizontally) has the ends at x = -2 and x = 6

Therefore, domain of the circle will be [-2, 6], {x | -2 ≤ x ≤ 6}

Extreme ends of the diameter of the circle along y-axis are at y = 2 and y = -6

Therefore, range of the circle will be [-6, 2], {y | -6 ≤ y ≤ 2 }

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