Find the roots of the following polynomial: p(x) = x² + 7x - 8 = 0

Answers

Answer 1

Answer:

(x-1)(x+8)=0

x=1

x=-8

Hope this helps

Answer 2

Answer:

hope this helps!! 790095543^&*((


Related Questions

15 points I really need help with this!! And please have work not just the answer!! No links please!!

Answers

Answer:

16(sin 30degrees) = BC

BC = 8

Solve the system of equations below.
X-2y=3
2x - 3y=9

Answers

Answer:

(9,3)

Step-by-step explanation:

Hope this helps

Marty and Ethan both wrote a function, but in different ways.

Marty
y plus 3 equals StartFraction 1 Over 3 EndFraction left-parenthesis x plus 9 right-parenthesis.

Ethan

A two column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 9.2, 9.6, 10, 10.4.

Whose function has the larger slope?

Marty’s with a slope of 2/3
Ethan’s with a slope of 2/5
Marty’s with a slope of 1/3
Ethan’s with a slope of 1/5

Answers

Answer:

Marty's with a slope of 1/3

Step-by-step explanation:

The functions Marty and Ethan wrote are analyzed the find the slope of each of the function

The equation Marty wrote is presented here as follows;

[tex]y + 3 = \dfrac{1}{3} \cdot\left (x + 9 \right)[/tex]

Marty's equation can be written in slope and intercept form, y = m·x + c, as follows;

[tex]y = \dfrac{1}{3} \cdot\left (x + 9 \right) - 3[/tex]

[tex]y = \dfrac{1}{3} \cdot x + \dfrac{9}{3} \right) - 3 = \dfrac{1}{3} \cdot x + 0[/tex]

[tex]y = \dfrac{1}{3} \cdot x[/tex]

By comparison, the slope of the function, m = 1/3

[tex]\therefore \ the \ slope \ of \ Marty's \ function, \ y + 3 = \dfrac{1}{3} \cdot\left (x + 9 \right), \ m =\dfrac{1}{3}[/tex]

Marty's function has a slope of m = 1/3

Ethan has the following two column table;

[tex]\begin{array}{rl}x&y\\-4&9.2\\-2&9.6\\0&10\\2&10.4\end{array}[/tex]

The slope, m, of the data in the above table is given as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Taking any two points, (x₁, y₁) = (-4, 9.2), and (x₂, y₂) = (2, 10.4), we get;

[tex]Slope, \, m =\dfrac{10.4-9.2}{2-(-4)} = \dfrac{1.2}{6} = \dfrac{1}{5}[/tex]

Ethan's function has a slope of m = 1/5

Therefore;

Marty's slope of 1/3 is larger, given that 1/3 > 1/5.

Answer:

C. Marty’s with a slope of 1/3

Step-by-step explanation:

Did the test and got it correct

Which describes the graph of y=-(x + 5)2 + 3?
A. Minimum at (-5,3)
B. Maximum at (5,3)
C. Minimum at (5,3)
D. Maximum at (-5,3)

Answers

Answer:

D

Step-by-step explanation:

Since there is a negative sign, the graph is a n shaped quadratic curve and hence, there can only be maximum point. Hence we can eliminate A and C.

For a curve in the completing the square form y = (x+a)²+b, the turning points are (-a,b). Hence in this case, turning point is at (-5, 3).

Hence the correct option is D

Answer:

D

Step-by-step explanation:

Is 3x – 1= 7 and
3x = 8 equivalent

Answers

Yes simply get rid of the negative 1

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Take the 1st equation & solve it :-

[tex]3x - 1 = 7 \\ 3x = 7 + 1 \\ 3x = 8[/tex]

Now, take the second equation :-

[tex]3x = 8[/tex]

[You can't further solve this equation]

So, from the 2 solved equations we can see that,

[tex]\large\bold{3x = 8 \ is \ equivalent \ (=) \ 3x = 8 }[/tex]

The answer will be Yes, 3x – 1= 7 and 3x = 8 are equivalent to each other.

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

35 points. Brainliest gets double the points.

Answers

the answer is 18 to the question

Does this graph represent a function? Why or why not?

A. No, because it is not a straight line.
B. Yes, because it is a curved line.
C. Yes, because it passes the vertical line test.
D. No, because it fails the vertical line test.

Answers

Answer:

c

Step-by-step explanation:

56:05
What is the equation of the line that is parallel to the
given line and passes through the point (-4,-6 )?
O x= -6
=)
O x=-4
O y = -6
O y = -4
10 x

Answers

(-4×-6) =-24÷6=4

24÷4=6. x=4. x=6

what is the slope of a line perpendicular to the line whose equation is x-3y=-27

Answers

Answer: Slope perpendicular= -3

x-3y=-27
-x -x
-3y=-x-27
divide by -3
y=(1/3)x+9

Slope perpendicular= -3

a sum of money was equally distributed among some boys
had there been 10 boys more​

Answers

Answer:

I think I know what question you are trying to write because it sounds like the question I did years ago.

It is Rs 200

Step-by-step explanation:

Your welcome! :)

Rs 200 ? it just reminds me of my old homework

one fourth of a number is equal to 15/16. write the expression to represnt the above sentence.
note: use x to represent a number.​

Answers

Answer:

1/4x = 15/16

Step-by-step explanation:

1/4x = 15/16

Becky says that when she simplifies the following expression, the value is 6 less than her age. What is Becky's age? (7+11) - 8÷2 *
20
14
26
11

Answers

Answer:

Becky's age is equal to 20.

Step-by-step explanation:

The given expression is :

(7+11)-(8÷2)

Using Bodmas rule to solve it furthur,

(18)-4 = 14

According to the given condition, let the age is A.

The value is 6 less than her age,

14 = A-6

or

14+6 = A

A = 20

Hence, Becky's age is equal to 20.

-31,-22,-33 find the 35th term

Answers

Answer:

easy bro go and use m-a-t-h w-a-y

Step-by-step explanation:

it's going to help

whats the ratio of 32:40

Answers

Answer:

4:5

Step-by-step explanation:

32:40

=>32/40

=>diving numerator and denominator by 8

=>4/5

=>4:5

Answer: 4:5

Step-by-step explanation:

32 and 40 share a common factor of 8. We can divide both of them by 8 so that the ratio stays the same value and it'll be in it's simplest form.

[tex]\frac{32}{8} =4\\\frac{40}{8} =5[/tex]

4:5 is the final answer.

PLS HELP PLS The pair of triangles below have two corresponding parts marked as congruent. What additional information is needed for a ASA congruence correspondence?


A. ∠N≅∠M
B. ∠A≅∠M
C. ∠A≅∠O
D. AN¯¯¯≅OM¯¯

Answers

Answer:

A

sinse its side angle side so the angle beside the side is second

hope it helps

Step-by-step explanation:

The additional information which needed for a ASA congruence correspondence is angle N is congruent to angle M

What is ASA congruency rule?

If any two angles and side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle.

According to the given question.

We have two triangle NDA and MTO in which

m ∠NDA = m ∠MTO

and  NA = MT

Now, according to ASA congruency rule

NA = MT

if m ∠DNA = m ∠TMO

Therefore, the additional information which needed for a ASA congruence correspondence is angle N is congruent to angle M.

Thus, option A is correct.

Find out more information about ASA congruency rule here:

https://brainly.com/question/2848632

#SPJ3

Hey im confused on how to solve this. Can Anyone help me?

Answers

Answer:

The minimum unit cost is $9374.

Step-by-step explanation:

The unit cost C for making x engines is given by the quadratic function:

[tex]C(x)=0.3x^2-162x+31244[/tex]

We want to determine the minimum unit cost.

Since this is a quadratic function with a positive leading coefficient, the minimum value will be its vertex. The vertex of a quadratic can be found using the following formulas:

[tex]\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]

In this case, a = 0.3, b = -162, and c = 31244.

Find the x-coordinate of the vertex:

[tex]\displaystyle x=-\frac{(-162)}{2(0.3)}=\frac{162}{0.6}=270[/tex]

In other words, in order to achieve the minimum cost, only 270 engines must be made.

Then to find the minimum cost, substitute the value back into the function. So:

[tex]C(270)=0.3(270)^2-162(270)+31244=\$ 9374[/tex]

The minimum unit cost is $9374.

(Please help, Very desperate and I have a limited amount of time to get this done please hurry asap)
Will give brainliest to first who answers

Answers

Answer:

Pic1 answers:

P(blue) = 4/26,

P(yellow or green) = 14/26

P(purple) = 0.0%

P(red or green) = 18/26

P(not pink) = 26/26

P(not blue) = 22/26

Pic2 answers:

P(u) = 1/12

P(Vowel) = 6/12

P(a,b,c,d,e) = 4/12

P(Not A) = 10/12

P(vowel or consonant) = 12/12

P(not an m,s,t) = 9/12

What is 5/2x + 2y = 5

Answers

Answer:

y= -x+1/2

Step-by-step explanation:

ANSWER QUICKLY PLEASE AND THANK YOU!!!

Answers

Answer:

2,3

Step-by-step explanation:

All u have to do is go to the x and y axis

For exercises 5-6, suppose you are making a scale drawing. Find the length of each object on the scale drawing with the given scale. 5) A parking lot 460 meters wide; 1 centimeter = 16.5 meters. 6) A desk 7.5 feet long; 1.5 inches = 0.5 feet.

Answers

Answer:

8 88 cm

5.625 inches

Step-by-step explanation:

The length scale drawing of the given object :

5) A parking lot 460 meters wide;

1 centimeter = 16.5 meters.

1 cm on the drawing is equivalent to 16.5 m on ground

Hence, using cross multiplication :

If :

1 cm = 16.5 m

x = 460 m

Cross multiply :

16.5x = 460 * 1

x = 460 / 16.5

x = 8.88 cm

6) A desk 7.5 feet long; .

Scale = 1.5 inches = 0.5 feet

1.5 inches on map is equivalent to 0.5 feets on ground

1.5 inch = 0.5ft

x in = 7.5 feets

Using cross multiplication

0.5x = 1.5 * 7.5

0.5x = 11.25

x = 11.25 / 0.5

x = 5.625 inches

Use an algebraic approach to solve the problem.

Aura took three biology exams and has an average score of 87. Her second exam score was 11 points better than her first, and her third exam score was 5 points better than her second exam. What were her three exam scores?

Answers

Answer:

Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.

Step-by-step explanation:

Use the formula for the mean: sum of elements / number of elements

Let x represent her first exam score.

Her second exam score can be represented by x + 11, since it was 11 points better than her first.

Her third exam score can be represented by (x + 11) + 5, since it was 5 points better than her second.

Plug in all of these expressions into the mean formula. Plug in 87 as the mean, and plug in 3 as the number of elements (since there are 3 scores):

mean = sum of elements / number of elements

87 =  ( (x) + (x + 11) + (x + 11) + 5 ) / 3

Add like terms and solve for x:

87 = (3x + 27) / 3

261 = 3x + 27

234 = 3x

78 = x

So, her first score was a 78.

Find her second score by adding 11 to this:

78 + 11 = 89

Find her third score by adding 5 to the second score:

89 + 5 = 94

Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.

Two numbers have prime factorizations of 2^2 x 3^2 x 5 and 2 x 3 x 5. Which expression can be used to find their least common multiple

Answers

Answer:  2^2 x 3^2 x 5

You can use a star symbol * in place of the x symbols.

==================================================

Explanation:

We simply circle the primes where they have the largest exponent.

The unique primes listed here are: 2, 3, 5

The prime 2 has the highest exponent of 2, meaning 2^2 is part of the answer.The prime 3 has the highest exponent of 2, meaning 3^2 is also part of the LCMThe prime 5, without any exponent, is also part of the LCM. We can write this as 5^1 or just leave it as 5.

Each question Sandra answers incorrectly changes her overall score by - points. Sandra's
overall score was - 41 points, and then she answered the last question incorrectly. What
was Sandra's final score?
-33
3.
DO

Answers

Answer: you can't really answer this because it's not telling me how many questions she answered so I don't know how many questions there are to decide how many points there are for each question but I'll give it a try.  

Step-by-step explanation:

41 - 8 = 33  that's all I got and also next time make sure you put the answer choices on that too if there are any

IF A QUADRATIC FUNCTION OPENS UPWARD, DOES IT HAVE A MAXIMUM OR MINIMUM?

Answers

Answer: It will have a minimum.

Use the table to answer the question.

The school cafeteria surveys random students about their favorite food and records the data in the table. If there are 530 students in the school, approximately how many would be expected to choose chicken nuggets?

a. 16 students
b. 40 students
c. 80 students
d. 106 students

Answers

Answer:

in the survey, 16 out of 80 students who where asked favored chicken nuggets.

so we need to calculate like this:

530 * 16/80

=530 * 1/5

=530/5

=106

hope this helps your understanding, wish you good grades

One number is 8 times as large as another. Their difference is 21. What is the larger number?

Answers

Answer:  24

Explanation:

x = smaller number

8x = larger number, since it's 8 times larger than the smaller

8x-x = 7x = difference of the numbers

That difference is 21, so we can say 7x = 21 which solves to x = 3

The smaller number is 3 and the larger is 8x = 8*3 = 24

As a check: 24-3 = 21, which confirms the answer.

Just worked it out the answer is 24

The picture is above I’ll mark as brainliest.

Answers

Answer:

A. 42 [tex]u^{2}[/tex]

Step-by-step explanation:

The area of the figure is length × width. The length of the figure is 7 units, and the width is 6 units.

Finding the area:

length × width

= 7 × 6

= 42 [tex]u^{2}[/tex]

Which choice is equivalent to the expression below?
-25
A. -5
B. 51
C. 251
D. 5 + 1
E. -25

Answers

Answer:

the choice is equivalent to -25

The choice is equivalent to-25

PLZ HELPP MARK BRAINLIEST 20 POINTS

Answers

Answer:

This is incorrect as 1/8 plus 3/5 is 29/40

Step-by-step explanation:

:)

Answer:

Susan is incorrect.

Step-by-step explanation:

First, what we do is add 1/8 + 3/5

Our result will be 4/13 because 1+3 = 4 would be as the numerator, and 8+5 = 13 would be as the denominator.

We can't simplify 4/13.

If we did increase the number, however, it would be 8/26, which is not close to the answer.

Therefore, Susan is incorrect.

-kiniwih426

The Chang family is on their way home from a cross-country road trip. During the trip, the function D (t) = 3260 - 55t can be used to model
their distance, in miles, from home after t hours of driving.
part a:find D(12) and interpret the meaning in the context of the problem. part b: if D(t) =2490, find the value of t and interpret its meaning in the context of the problem

Answers

Answer:

See below.

Step-by-step explanation:

D(t) = 3260 - 55t

The function that shows their distance from home as a function of time shows that they started 3260 miles from home and are driving at 55 miles per hour.

part a:

D(12) = 3260  55(12)

D(12) = 3260 - 660

D(12) = 2600

Interpretation: After 12 hours of driving home, they are 2600 miles from home.

part b:

D(t) = 2490

3260 - 55t = 2490

-55t = -770

t = 14

Interpretation: When they are 2490 miles from home, they have driven for 14 hours.

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