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

Aroha is 3 years older than her brother. The sum of Aroha's age and her brother's age is 31. Write and solve and equation to find their ages

Answers

Answer:

Therefore, Aroha is 17 yrs old and her brother is 14 yrs old.

Step-by-step explanation:

Let's represent Aroha's brother's Agee with the letter "b" yrs old.

If Aroha is 3yrs older than her brother, she's : (b+3) yrs old.

The sum of their ages is 31,

b+(b+3)=31

2b+3=31

Collect like terms,

2b=31-3

2b=28

Divide both sides by 2,

b=14

b+3=17

A cheerful teen hoping this helps,

stay techy, brilliant and positive!

help
any tips on adding/multiplying fractions?

Answers

adding fractions
Make sure bottom numbers are the same
(denominators)

Add the top numbers (numerators) put the answer over the denominator

Simplify fraction (if possible)

Answer:

sure!

Step-by-step explanation:

if you're just wondering How to, then here you are. in order to add fractions, you first must make sure your two fractions in the equation have like denominators (if youre unsure, the bottom number in a fraction), so they just need to be the same before you can add them. Take 1/2 + 2/3 for example, both 2 and 3 can go into 6, so you can make them both fractions of 6. in order to change the bottom part of the fraction, you need to change the top part too. in the case of 1/2, you will multiply the 2 by 3, so also multiply the 1 by 3. then you have 3/6. for 2/3 you will multiply the 3 by 2, so you must also multiply the 2 by 2, you will get 4/6. Now we have 3/6 + 4/6. Do not change the denominator and simply add across the top. Now you'll have 7/6, or 1 1/6. Multiplying fractions is much much simpler. The denominators don't need to be the same, so you just multiply straight across. Multiply first numerator by second numerator, and first denominator by second denominator. using the 1/2 and 2/3 example again, you have 1/2 * 2/3. so you'll first multiply 1 * 2, and make that the numerator. You have 2/-. Then the same with the denominator, 2 * 3, giving you 2/6. (Or, you can simplify to 1/3.) hope this helps, let me know if you have more questions. :)

help me with this please and thank you​

Answers

Answer:

a. 2x +5

b. Pic attached

c. f(4) = 2•4 +5

f(4) = 8 +5

f(4) = 13

d. Domain: all the real numbers

Range: all the real numbers

why is the square root of 25 a rational number?

Answers

Answer:

Because √25 = 5 and 5 can be written in the form of a fraction 5/1.

Step-by-step explanation:

It proves that √25 is rational.

Answer:

the square toot of 25 is = 5

Step-by-step explanation:

therefore

5√5

= 25

√25 is equal to 5

= 5

i hope it helps

Hey y’all I don’t understand, can you help me pls ASAP and show steps if u could

Answers

Answer:

(x, y) = (-2, -6)

Step-by-step explanation:

Learn more at https://brainly.com/question/15168004

The total operating costs of a monorail are paid using a combination of passenger fares and tax revenue. The farebox recovery ratio is the ratio of passenger fares to total operating costs. A monorail in one city has $69 million in operating costs per year, and uses $30 million from tax revenue.
To the nearest hundredth, what is the farebox recovery ratio for the city?

Answers

Answer:

0.57 or 0.56

Step-by-step explanation:

passenger fares + tax revenue = operating costs

Thus:

passenger fares = operating costs - tax revenue

= $69 million - $30 million

= $39 million

The ratio of passenger fares to total operating costs is:

$39 million

= 0.5652.

$69 million

To the nearest hundredth, the farebox recovery ratio is 0.57.

8) What are the measures of angles x, y, and z?

Answers

Step-by-step explanation:

y=55°(corresponding angles are equal)

x=55°(alternate angles are equal).

z+55°=180°

=180-55=z

z=125°

Answer:

x = y = z = 55°

Step-by-step explanation:

x = 55° (vertical angles)

y = 55° (corresponding angles)

z = 55° (corresponding with x -> z = x)

Help meeeeeeeeeeeeee asapppp

Answers

A triangle is 180 degrees in total. So when you add 29 and 13, it’s 42. Then you do 180-42=138. The answer is 138 degrees!

Round 2,861 to the nearest hundred

Answers

2,900

hope this helps

Hey there!

2,891

= 200,000 + 800 + 90 + 01

= two-hundred thousand, eight hundred ninety one

Thousand:

2,000

Hundred:

900

Tens:

90

Ones:

1

Based on that information we can answer your question

SIMPLIFY IT

ANSWER: 2,900

[2,000 + 900 + 0 + 0]

[two thousand + nine hundred]

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

PLEASE HELP ME ASAP
NO LINKS

Answers

Step-by-step explanation:

1)

x⁴×x^a = x¹²

you know that you can add the exponents when multiplying terms with the same base value/variable ?

because that is what we are doing here to solve it :

x^(4 + a) = x¹²

therefore,

4 + a = 12

a = 8

2)

y^b / y⁵ = y²

similar to 1), but when we divide, we subtract the exponents.

y^(b - 5) = y²

b - 5 = 2

b = 7

3)

3^c = 1/27

27 = 3³

27×3^c = 1

3³×3^c = 1

3^(3 + c) = 1

now we need to remember : x⁰ = 1.

therefore, 3⁰ = 1

3^(3 + c) = 3⁰

3 + c = 0

c = -3

4)

(m³)² = m^d

aha !

now we need to remember, we can multiply the exponents, when we have an exponent of an exponent term.

m^(3×2) = m^d

3×2 = d

6 = d

5)

7⁰ = e

remember, x⁰ = 1, so also 7⁰ = 1.

therefore, e = 1.

6)

4^-2 × 4⁹ × 4^‐5 = 4^f

so, now we need apply what we just learned to a sequence of operations :

each term has the same base value (4), and they are all multiplied, so we can do the described adding of the exponents :

4^(-2 + 9 - 5) = 4^f

therefore,

f = -2 + 9 - 5 = 2

Answer:

just here 4 points

Step-by-step explanation:

does anyone like math in this world?

Answers

Answer:

i mean math is my second favorite subject

Step-by-step explanation:

to be honest i hate math it makes me cry when i have to do it

The equation y=−15x+12 is the slope-intercept form of which equation?


5x+13y−4=05 x plus 1 third y minus 4 is equal to 0

−y15+12=xnegative y over 15 plus 12 is equal to x

y−5x=−4y minus 5 x is equal to negative 4

y−15x=−12

Answers

I honestly don't know but I think it would come out to be 4/5

Help needed! Please and thanks

Answers

Answer:

8.125 inches

Step-by-step explanation:

Ok so basically what you needed to do was this

Find out what was the value like this 3 1/4 = 3.25 and 2 1/2 = 2.5

Then you will do

3.25 x 2.5 and get your answer

8.125

There you go! Have a Wonderful Day

Please answer this for me!! Thank you!

Answers

Answer:

B

Step-by-step explanation:

Okay, so we know all answers that apply, so why did I pick only one answer?

Think of a graph: have you heard of y = mx + b? even if you haven't the m is slope and b is y-intercept. You can use this to graph.

So if you have same slope and y-intercept you'll get infinite solutions

So if you don't know y = mx + b? it's ok! You're basically looking for the same thing on both sides. When it's the same, they'll cancel out.

Hopefully this helps! You may want to ask your teacher to make sure. :))

(Tell me if it's wrong in comments)

The slope of the line formed between point A and point C on the graph is 2/3

What is the slope of the line formed between point C and point E?

Answers

Answer:

B. 1/2

Step-by-step explanation:

i think

Is this the right answer?

Answers

Answer:

yes great job!

Step-by-step explanation:

use the GCF to factor 16+6

Answers

Answer:

2 x (8 + 3)

Step-by-step explanation:

b) 16 + 6 = 2 x (8 + 3)

=> 22 = 2(11)

=> 22 = 22

Therefore, 2 x (8 + 3) is your answer.

Katy kept a tally of the number of emails she received each day for a week.

Monday 10
Tuesday 0
Wednesday 10
Thursday 1
Friday 0
according to the table,what was the rate of changing between Wednesday and Thursday?​

Answers

Answer:

9

Step-by-step explanation:

Write the equation of a line that is parallel to the line y=−4x+1 and goes through the point (2,0).

Answers

Answer:

y=-4x+8

Step-by-step explanation:

Hi there!

We are given the line y=-4x+1, and we want to write the equation of the line that is parallel to that line and that also passes through the point (2, 0)

Parallel lines have the same slope, so it makes sense to find the slope of the line y=-4x+1

The line is written in the format y=mx+b, where m is the slope and b is the y intercept.

As -4 is in the place of where m should be, the slope of the line is -4.

It's also the slope of the line parallel to it.

We can write the slope of the new line in slope-intercept form as well; this is the line so far, after substituting -4 as m:

y=-4x+b

Now we need to find b, which is the value of the y intercept

Remember that are given the point (2,0), which we can use to help solve for b; substitute 2 as x and 0 as y.

0=-4(2)+b

Multiply

0=-8+b

Add 8 to both sides

8=b

Substitute 8 as b into the equation:

y=-4x+8

Hope this helps!

Help me help help help help help

Answers

Answer:

d) 500 scoops

Step-by-step explanation:

looking at the trend of scoops sold per year, 500 seems to be the correct answer. let me know if this is wrong.

Answer:

D

Step-by-step explanation:

Since each 2 years it goes up. A and B is incorerect. The answer has to be 402-597 so the only logically asnwer is D

pls tell if this helps

How to calculate the median of a large data set.

Answers

Answer:

The first is organize your data set and after that determinate if the length (the total data) is odd or even dependent of that find the middle value. This is the traditional algorithm for find the median of whatever data set.

Step-by-step explanation:

Organize the data set (ascending or descending order)Determine if the total number of data is odd or evenif is odd use the next formula for find the middle value [tex]X[\frac{n}{2} ][/tex] where [tex]X[/tex] is the data set and [tex]n[/tex] the number of data.if is even use the next formula for find the middle value [tex]\frac{X[\frac{n-1}{2}] + X[\frac{n+1}{2}] }{2}[/tex] in this case you take both middle values and get it's mean.

-5/3 + 3 2/3 =

show all your work

Answers

Answer:

2

Step-by-step explanation:

Turn 3 2/3 into improper fraction: 11/3

11/3-5/3=6/3=2

How do you solve for TSU? i’ll make you brainleist

Answers

Step-by-step explanation:

as we know, 1 exterior angle is equal to 2 interior angle

therefore let angle u be x.

now,

65° + x = 105

x = 105 - 65 = 40°

therefore

TUS = 40°

and to know measure of angle TSU apply angle sum property of triangle in TUS

so,

65 + 40 + TSU = 180

105 + TSU = 180

TSU = 180 - 105 = 75°

therefore,

TSU = 75°

hope this answer helps you dear! take care

Help.....Me...........PLEASE

Answers

Answer:

~corresponding angles

~congruent

~7x-10=6x so x=10

~60⁰ and 60⁰

please help 7th grade math

Answers

Answer: 3.9

Step-by-step explanation: calculator

1. 39 divided by 4 divided by 2.50

A 10 person swim team goes out to breakfast and orders 30
cinnamon rolls. If all members of the swim team came in for
breakfast, how many rolls would each person get?

(Please give me a variable and do it like this attachment photo shows!)

Answers

3

Step-by-step explanation:

30÷10 to know how many each person has.God loves you

If there are four quarts in a gallon, how many quarts are in 101/2 gallons?

Answers

Answer:

202

Step-by-step explanation:

Choose the graph of the inequality's solution. -4x + 8 > 12

Answers

Answer:

[tex]x < - 1[/tex]

You should have a circle on -1 with the arrow going left

Step-by-step explanation:

Subtract 8 from both sides.

[tex] - 4x + 8 > 12 \\ - 8 \: \: \: \: - 8[/tex]

[tex] - 4x > 4[/tex]

Divide by -4

[tex] \frac{ - 4x}{ - 4} > \frac{4}{ - 4} [/tex]

Since you are dividing by a negative, you need to flip the inequality.

[tex]x < - 1[/tex]

Decompose and use the distributive property to find the product of 5 × 7.3. 35.0 36.5 35.5 31.5 PLEASE HELP PLEASE T^T

Answers

Answer:

The answer is 36.5

Step-by-step explanation:

D) No, you are too afraid of sharks to even attempt the dive!
8) You are interested in retrieving a souvenir from a shipwreck located 115 feet below the water. You
do not have diving equipment, so your dive is limited by the equation y=0.05x2 - 4x – 38
Assumming you are able to retrieve your souvenir, how long do you have to hold your breath until
you resurface?
A) almost 90 seconds B) 38 seconds
C) almost 2 minutes D) a minute and 10 seconds

Answers

Answer:

B. 38 seconds

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