What are the solutions of y=x^2+5x-7

Answers

Answer 1

Answer:

You have two variables, and only one condition. It means you have infinite solutions of the form [tex](t; t^2+5t-7)[/tex]. Technically correct, probably not what you want to know.

If you wanted to know if and where the RHS crosses the x axis, the points are the solution to

[tex]x^2+5x-7= 0 \rightarrow x=\frac12(-5\pm\sqrt{25+28})\\x_1= \frac12(\sqrt{53}-5); x_2=-\frac12(\sqrt{53}+5)[/tex]

If you wanted the graph it's a parabola passing through the two points we just found, (0;-7), and with an axis of equation [tex]x=-\frac52[/tex].


Related Questions

Given the expression -2 + x + (-5) what values of x will make the expression greather than zero? Create and inequality to represent your solution

Answers

-2+x+(-5) > 0  <=> x-7 > 0 <=> x > 7

ok done. Thank to me :>

ANSWER CORRECT FOR BRAINLIEST

Answers

Answer:

3 2 /5 ×3

change 3 2 /5 into an improper fraction

then you will get 17 /5

after that you say 17/5 ×3/1

=(17×3)/ (5x1)

=51/5 (51÷5)

=10.2/ 10 1/5

Solution:

[tex]3 \frac{2}{5} \times 3 \\ = \frac{17}{5} \times 3 \\ = \frac{51}{5} \\ = 10 \frac{1}{5} [/tex]

Answer:

[tex]10 \frac{1}{5} [/tex]

Hope it helps.

Do comment if you have any query.

helppp,no links or spam

Answers

Answer: 6.45 x 10^10

Step-by-step explanation:

Because 10^5 and 10^4 both have 10, we can add the exponents to get 10^9.

Multiplying 7.5 and 8.6 gets you

7.5 * 8.6 = 64.5

We can move the decimal up a place to get 6.45 and add another power to 10^9 to get 10^10

Your final answer should be 6.45 x 10^10

Answer:

C 6.45x 10 to the power of 10

Step-by-step explanation:

10 to the power of 5 is 100,000. 7.5x100,000 is 750,000.

10 to the power of 4 is 10,000.

10,000x8.6 is 86k

now we do 750,000x86,000 which is 64,500,000,000

10 to the power of 10 is 10 billion times 6.45 is 64,500,000,000

An animal shelter receives a shipment of items worth a total of $1890. Large bags of dog food are $8
each, pet blanket are $5 each, and dog toys are $4 each. There are 5 bags of dog food for each dog
toy and twice as many blankets as dog toys. How many of each item were shipped?

PLS HELP!!!

Answers

Answer:

Food bags - 175, pet blankets - 70, dog toys - 35

Step-by-step explanation:

Given:

Dog food bags - f, cost of each $8, Pet blanket - b, cost of each $5Dog toy - t, cost of each $4Total cost $1890

Equations:

8f + 5b + 4t = 1890f = 5tb = 2t

Substitute values of b and t into first equation and solve for t:

8(5t) +5(2t) + 4t = 189040t + 10t + 4t = 189054t = 1890t = 1890/54t = 35

Find the values of f and b:

f = 5*35 = 175b = 2*35 = 70

2. Select all of the trips that would take 4 hours. a. Drive 40 miles per hour between Gotham City and Smallville, which are 160 miles apart. Take a plane going 900 kilometers per hour from Town A to Town Z. which are 3,600 kilometers apart. c Walk 3.2 miles per hour to the grocery store, which is 8 miles away.​

Answers

Answer:

i think the answer is 50 if not im sorry if there is another go for that one.

Step-by-step explanation:

Rene’s driveway is a rectangle 45 feet long by 20 feet wide. What is the area of the driveway?

Answers

Answer:

25 this is a write answer

The area of a rectangle is found by multiplying length times width. In this case it would be 20 ft. times 15 ft. which equals 300 square feet Make sure you answer in SQUARE feet.

The diagram shows a triangle ABC.
B
Not drawn accurately
12.5 cm
A
4.6 cm
Work out the area of the triangle.
Give your answer to 1 decimal place.


please help and show working

Answers

Answer:

A ≈ 5.8 cm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 4.6 and h = 2.5 , then

A = [tex]\frac{1}{2}[/tex] × 4.6 × 2.5 = 2.3 × 2.5 ≈ 5.8 cm² ( to 1 dec. place )

Answer:

Step-by-step explanation:

How many times does it intersect on the graph? y=x^2+3x-2, y-x=4

Answers

it intersects twice :)

PLEASE ANSWER QUICK

What is the domain of f?

Answers

Answer:

-7 ≤ x ≤ 7

General Formulas and Concepts:

Algebra I

Coordinate Planes

Domain is the set of x-values that can be inputted into function f(x)

Step-by-step explanation:

According to the graph we can see that our x values span from -7 to 7. Since both are closed dot, they are inclusive in our domain:

[-7, 7] or -7 ≤ x ≤ 7

Answer:

A -7<=x<=7

Step-by-step explanation:

Domain is the set of x values which fulfill the function. We can tell from the graph that the x values start from -7 and last to 7. therefore the domain is A

Unit 4 linear equations homework 9 parallel and perpendicular lines (day1) activity
Directions if segments AB and CD are parallel,perpendicular, or neither

Answers

The lines that are parallel continuously have equal distances from each

other and perpendicular lines form 90° angle at their intersection.

The correct responses are;

Segment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are perpendicular, ⊥Segment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are parallel. ║Segment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are neitherSegment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are perpendicular, ⊥Segment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are perpendicular, ⊥Segment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are neitherThe equations are parallel, ║The equations are perpendicular, ⊥The equations are perpendicular, ⊥The equations are neither parallel or perpendicular

Reasons:

Segment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are perpendicular

[tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are parallel where; Slope of [tex]\overline{AB}[/tex] = Slope of [tex]\overline{CD}[/tex]

[tex]\displaystyle \overline{AB} \ and \ \overline{CD} \ are \ perpendicular\ where; \ Slope \ of \ \overline{AB} = -\frac{1}{Slope \ of \ \overline{CD}}[/tex]

[tex]1. \ \displaystyle Slope \ of \ \overline{AB} = \mathbf{\frac{13 - 3}{-2 - 0}} = \frac{10}{-2} = -5[/tex]

[tex]\geq \displaystyle Slope \ of \ \overline{CD} = \frac{3 - 0}{10 - (-5)} = \frac{1}{5}[/tex]

[tex]\displaystyle \mathbf{Slope \ of \ \overline{AB}} = -\frac{1}{Slope \ of \ \overline{CD}}[/tex], [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are perpendicular

[tex]2. \ \displaystyle Slope \ of \ \overline{AB} = \mathbf{\frac{7- 1}{3 - (-6)}} = \frac{6}{9} =\frac{2}{3}[/tex]

[tex]\geq \displaystyle Slope \ of \ \overline{CD} = \frac{-5 - (-1)}{-6 - 0} = \frac{-4}{-6}=\frac{2}{3}[/tex]

Slope of [tex]\mathbf{\overline{AB}}[/tex] = Slope of [tex]\overline{CD}[/tex] , [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are parallel

[tex]3. \ \displaystyle Slope \ of \ \overline{AB} = \mathbf{ \frac{2- 4}{-6 - (-2)} = \frac{-2}{-4}} =\frac{1}{2}[/tex]

[tex]\displaystyle Slope \ of \ \overline{CD} = \frac{11 - (-7)}{-1 - 5} = \frac{18}{-6}=-3[/tex]

[tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are neither parallel or perpendicular

[tex]4. \ \displaystyle Slope \ of \ \overline{AB} = \frac{8- 3}{-3 - 2} = \frac{5}{-5} =-1[/tex]

[tex]\displaystyle Slope \ of \ \overline{CD} = \frac{6 - 2}{-4 - (-8)} = \frac{4}{4}=1[/tex]

[tex]\displaystyle Slope \ of \ \overline{AB} = \mathbf{-\frac{1}{Slope \ of \ \overline{CD}}}[/tex], [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are perpendicular

[tex]5. \ \displaystyle Slope \ of \ \overline{AB} = \frac{-1 - 2}{-8 - (-4)} = \frac{-3}{-4} =\frac{3}{4}[/tex]

[tex]\displaystyle Slope \ of \ \overline{CD} = \mathbf{\frac{-3 - 6}{0 - 12}} = \frac{-9}{-12}=\frac{3}{4}[/tex]

Slope of [tex]\overline{AB}[/tex] = Slope of [tex]\overline{CD}[/tex] , [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are parallel

[tex]6. \ \displaystyle Slope \ of \ \overline{AB} = \frac{5 - (-1)}{6 - 3} = \frac{6}{3} =2[/tex]

[tex]\displaystyle Slope \ of \ \overline{CD} = \mathbf{\frac{-5 - 7}{2 - (-4)}} = \frac{-12}{6}=-2[/tex]

[tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are neither parallel or perpendicular

Directions: To determine if the equations are parallel or perpendicular

Solution:

The equations are parallel if when expressed in the form, y = m·x  + c, the value of m are equal

The equations are perpendicular, when we have;

[tex]\displaystyle The \ value \ of \ \mathbf{m} \ in \ one \ equation = -\frac{1}{The \ value \ of \ \mathbf{m} \ in \ the \ other\ equation }[/tex]

7. First equation

3·x + 2·y = 6

Therefore; [tex]\displaystyle y = -\frac{3}{2} \cdot x + 3[/tex]

Second equation; [tex]\displaystyle y = \mathbf{-\frac{3}{2} \cdot x + 5}[/tex]

The value of m which is the coefficient of x are both equal to [tex]\displaystyle -\frac{3}{2}[/tex]

Therefore, the equations are parallel

8.  Equation 1; 3·y = 4·x + 15

Therefore;

[tex]\displaystyle y = \frac{4}{3} \cdot x + 5[/tex]

Equation 2; 9·x + 12·y = 12

[tex]\displaystyle y = -\frac{9}{12} \cdot x + 1 = 1 - \frac{3}{4} \cdot x[/tex]

The slope of the equation 2 is the negative inverse of the slope of equation 1, therefore, the equations are perpendicular

9. Equation 1: 8·x - 2·y = 4

Therefore;

y = 4·x - 2

Equation 2: x + 4·y = -12

Therefore;

[tex]\displaystyle y = -\frac{1}{4} \cdot x - 3[/tex]

The slope of the equation 2 is the negative inverse of the slope of equation 1, therefore, the equations are perpendicular.

10. Equation 1: 3·x + 2·y = 10

Therefore;

[tex]\displaystyle y = -\frac{3}{2} \cdot x - 5[/tex]

Equation 2: 2·x + 3·y = -3

[tex]\displaystyle y = -\frac{2}{3} \cdot x -1[/tex]

The slopes of the equation 1 and 2 are not equal, and are not  the negative inverse of each other, therefore, the equations are neither parallel nor perpendicular.

Learn more about parallel and perpendicular lines here:

https://brainly.com/question/7197064

How to find unique prime factorization of 10 factorial.

Answers

How to find th unique prime factorization of 10 factorial

please answer and show work ill give u 70 point

Answers

1.answer

15/8-5/8=10/8answer

2.

9/5-1/5=8/5answer

3.3/2-1/2=2/2answer

Answer:

first question= 7/8

second question= 8/5

third question= 1

fourth question=23/8

fifth question=9/8

final question= 1/3

Step-by-step explanation:

1) 15/8 - 5/8 = 7/8

since the denominator is the same, it will be easier

do 15-8

which is 7

so the final answer is 7/8

(Remember that you don't subtract the denominator)

2) 9/5 - 1/5 = 8/5

Using the same method as the first question, you should get 8/5

8/5 as a mixed fraction would be 1 3/5

3) 1 1/2 - 1/2= 1

1 1/2 into a mixed fraction = 3/2

3/2-1/2

=2/2, which is 1

4) 3 1/4 - 3/8=23/8

3 1/4 as a mixed fraction is 13/4

so the equation would be 13/4 - 3/8

however, the denominator is not the same

and the least common multiple is 8

so 13/4 = 26/8

26/8-3/8= 23/8

5) 5/4 - 1/8 = 9/8

5/4 doesn't have the same denominator as 1/8, so you change it into 10/8

10/8-1/8

9/8

6) final question :)

5/6 - 1/2= 1/3

1/2 = 3/6

5/6-3/6

=2/6

after simplifying= 1/3

Hope it helps and have a nice day!

Mark me as branliest pls

−2p + 23 = 15

What does p =

Answers

Answer:

look at the picture .................

What is the slope of the line that passes through (0, 7) and (3, 10)?

Answers

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (3, 10 )

m = [tex]\frac{10-7}{3-0}[/tex] = [tex]\frac{3}{3}[/tex] = 1

What is (-2) power 35?

Answers

Answer: − 34359738368

Pls help me with this question

Answers

Answer:

were is the qn?

Step-by-step explanation:

Write the equation of the line with two given points

(-12, 14) and (6,-1)

Answers

The answer is y= -5/8x + 2 1/4

On what interval is the function increasing.

Answers

The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.

Carrie, Maria, and Nayla are friends that live close to one another. Which two friends have the shortest distance between them?

a-Carrie and Maria

b-Maria and Nayla

c-Carrie and Nayla

d-All three live equal distances from each other.

Answers

The two friends have the shortest distance between them are Carrie and Nayla.

In order to determine the distance of the friends from each other, the value of the angles have to be determined. The given figure is a triangle. Sum of angles in the triangle equal 180 degrees.

The first step is to determine the value of x:

20x + 7) + (5x + 50) + (5x + 3) = 180

Add similar terms togethers

30x + 60 = 180

Combine similar terms

30x = 180 - 60

30x = 120

x = 120 / 30

x = 4

The second step is to determine the value of each angle

Nayla = 20(4) + 7 = 87

Carrie = Second angle = 5(4) + 50 = 70

Maria = Third angle = 180 - (70 + 87) = 23

Nayla and Carrie live closest to each other

Please find attached the image required to answer this question. TO learn more, please check: https://brainly.com/question/2390433

Find all of the rational zeros of the function. ​f(​x)=x ​4 −3x ​3 −6x ​2 +6x+8 ​

Answers

Answer:

The "possible" rational zeros are:

±

1

,

±

2

,

±

4

,

±

8

The actual zeros are:

1

,

4

,

±

2

Explanation:

f

(

x

)

=

x

4

3

x

3

6

x

2

+

6

x

+

8

By the rational root theorem, any rational zeros of

f

(

x

)

are expressible in the form

p

q

for integers

p

,

q

with

p

a divisor of the constant term

8

and

q

a divisor of the coefficient

1

of the leading term.

That means that the only possible rational zeros are:

±

1

,

±

2

,

±

4

,

±

8

We find:

f

(

1

)

=

1

+

3

6

6

+

8

=

0

So

x

=

1

is a zero and

(

x

+

1

)

a factor:

x

4

3

x

3

6

x

2

+

6

x

+

8

=

(

x

+

1

)

(

x

3

4

x

2

2

x

+

8

)

Notice that the ratio between the first and second terms of the remaining cubic is the same as that between the third and fourth terms. So this cubic will factor by grouping:

x

3

4

x

2

2

x

+

8

=

(

x

3

4

x

2

)

(

2

x

8

)

x

3

4

x

2

2

x

+

8

=

x

2

(

x

4

)

2

(

x

4

)

x

3

4

x

2

2

x

+

8

=

(

x

2

2

)

(

x

4

)

Finally we can factor the quadratic as a difference of squares:

x

2

2

=

x

2

(

2

)

2

=

(

x

2

)

(

x

+

2

)

So the zeros are:

1

,

4

,

±

2

which is a proportional relationship
y=x+1
y=3x+3
y=4x
y=8+x

Answers

Answer:

4=4x

Step-by-step explanation:

the formula y=mx+b

corresponds to y=slope+y intercept

all proportional relationships start on the origin so the y-intercept is always 0

the fact that the equation y = 4x doesn't have an intercept shows its proportional this can go with any similar equation like y = 4.5x

A circle with a circumference of 6 has an arc with 20 central angle

Answers

Answer: 0.3 units

Step-by-step explanation: The ratio of the length of the arc to the circumference of the circle is proportional to the ratio of the central angle to the sum of angle in a circle.

Mr. Johnston spends 2/3 of every year in Florida how many months does he spend in Florida each year

Answers

Answer:

8 months

Step-by-step explanation:

12/3 = 4, 1/3 is 4 so 1/3 + 1/3 = 2/3 or 8

The supermarket has 10 aisles. 1 of the aisles is empty. What percentage of the aisles are empty?

Write your answer using a percent sign (%).

Answers

Answer:

10%

Step-by-step explanation:

1 out of 10 isles is the same as doing 1 divided by 10, which gets 0.1. To make this a percentage you would multiply it by 100 to get 10%

The table shows the number of pages a student reads and how many
minutes it takes the student to read those pages.
Number of Pages Read
Number of Number of
Pages Minutes
9.0
6
13.5
8
18.0
4
Which statement best describes the relationship in the table?

Answers

Answer:

the unit rate is 2.25

Step-by-step explanation:

4×2.25=9.0

6×2.25=13.5

8×2.25=18.0

A rectangular pool 12 meters by 8 meters is surrounded by a walkway of width x meters. At what
value of x will the area of the walkway equal the area of the pool?
Explain. (don’t send file)

Answers

X=3

x is the width of the sidewalk
The outside dimensions of the walkway are 12 + 2x by 8 + 2x
The total area is (12 + 2x)(8 + 2x)
The total area minus the area of the pool should be equal to the area of the pool

Hoped this helped!

Drwa the staright line y = 2x-3

Answers

Answer:

The equation y = 2x - 3 represents a line with a slope of positive 2, and a y-intercept of -3.

Hope it helps :)

You would start at -3 on the number line and then move up 2 units and 1 unit right since your slope is 2/1

(3x-6)/(x^2+2) what is the answer

Answers

If you are asking to simplify the answer is

Write an equation in slope intercept form for the line that has a slope of 1/4 and passes through the point (0, -2)

Answers

Step-by-step explanation:

the general slope intercept formula is

y = ax + b

a is the slope of the line.

b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).

we get b by using the point coordinates in the equation and solve for b :

-2 = (1/4)×0 + b

b = -2 (as expected)

the full line equation is

y = (1/4)x - 2

59 divided by 4=? PLEASE HELP!

Answers

Answer:

14.75

Step-by-step explanation:

56/4 = 14, 3/4 = .75

add them together

Answer: 14.75

Step-by-step explanation: yeah its 14.75  but if you want to simplify it, then its 14.8

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