f(x)= x² +5x-2
Find the vertex

Answers

Answer 1

Answer:

(-5/2, -33/4)

Step-by-step explanation:

-b/2a

-5/2 = x

f(-5/2) = (-5/2)^2 + 5(-5/2)-2 = -33/4


Related Questions

Determine the intercepts of the line

x intercept : ?,?
y intercept: ?,?

Answers

Answer:

x-intercept: 3 or (3,0)

y-intercept: -10 or (0,-10)

Step-by-step explanation:

1. The intercepts of a graph are points at which the graph intersects with the x - or y-axis.

2. Given the information above, the line intersects with the x-axis at (3,0) and the y-axis at (0,-10).

Therefore, the x-intercept is 3 or (3,0) and the y-intercept is -10 or (0,-10).

HELP THIS IS DUE SOON 30 POINTS

Answers

Answer:

x = 4

Step-by-step explanation:

  f(x) = 4x-5

    11 = 4x-5

4x-5 = 11

   4x = 11+5

        = 16

     x = 16÷4

        = 4

The length of the base of an isosceles triangle is x. The length of a leg is 3x-4. The perimeter of the triangle is 27 . Find x.

Answers

Answer:

x= 31/3

Step-by-step explanation:

please help!! using the pythagorean theorem !!

Answers

Answer:

≈8.66

Step-by-step explanation:

a²+b²=c²

5²+b²=10²

25+b²=100

25+b²-25=100-25

b²=75

b=√75

≈8.66

pls mark me as brainliest!

Answer:

8.66

Step-by-step explanation:

You're solving for b.

first, use the formula

c = a^2 +b^2

b = c^2 -a^2 = 10^2 - 5^2 = 8.66025

Don't forget that you have to square root it.

Six times the quantity, x-2, is 24. Find the number

Answers

Answer:

x = 6

Step-by-step explanation:

it states 6 times the quantity x - 2, so the expression would be 6 ( x - 2 ) = 24. first multiply because you cannot add or subtract unlike terms. so 6 multiplied by x and -2, the expression would be (6x - 12) = 24. add 12 to 12 so you cancel the coefficient. but when adding to the constant add to the sum. now it is 6x = 36. since 6x is multiplication, divide 6x by 6 to isolate the variable, but divide the answer, 36 divided by 6 is 6. therefore x = 6. hope this helps

You are given that a 7.6.54 to 3 significant figures) and b = 123 (to 3 significant figures):
Calculate upper and lower bounds for a+b, give your answers to 3 significant figures:

Answers

a=76.54=76.5(3significant)b=123

[tex]\\ \sf\longmapsto a+b[/tex]

[tex]\\ \sf\longmapsto 123+76.5[/tex]

[tex]\\ \sf\longmapsto 199.5[/tex]

[tex]\\ \sf\longmapsto 199[/tex]

In a particular part of the Volta lake, there is a population of 100000 tilapia. The number of tilapia is decreasing at a rate of 10% per year due to pollution from a human settlement on the shores of the Volta lake in this area.
2. Copy and complete the table below to show the number of tilapia P after 1, 2 and 3 years
Number of years (t) 0 1 2 3
Number of tilapia (N)
Criterion B 1-2
b) Write an exponential model for the number of tilapia N after t years
Criterion B 3-4
c) When the population of tilapia falls below 25000 it is at a ‘critical level’. Write an inequality and calculate how long it will take for this lake to be at a critical level.

Answers

Answer:

?????

Step-by-step explanation:

plz help.this is a grade! DUE IN 10 MINUTES. he tape diagram below represents how much time you and your friend spend time studying. You study for 45 minutes how many minutes does your friend study​​

Answers

Answer:

both you and your friend study for 45mins

Step-by-step explanation:

bubba's gym charges a $100 membership fee and $10 per visit.
write an expression that represents the cost of "x" visits: C=_______

Answers

Answer:

C=100+10x

Step-by-step explanation:

its 10$ per visit and x represents the number of visits. and you get a 1 time membership fee of 100 so its 100+10x=C c stand for cost.

Need lotta help.What is 6 times 80?

Answers

Answer:

480

Step-by-step explanation:

value of 3 to the power of -2

Answers

Answer:

it would be .1111111111

Hope this helps

Answer:

.1 repeating

Step-by-step explanation:

.1 repeating= .11111111111

Hope this helps.

Review the table of values showing the number of
days each year from 1990 to 1997 that air quality in
San Diego did not meet federal air quality standards.

Answers

Answer: B

Step-by-step explanation: I got it right.

Answer:

GUYS THE PERSON ABOVE ME IS WRONG THE ANSWER IS NOT B IT IS C TRUST ME

Lourdes plans to jog at least 1.5 miles. Write and solve an inequality to find x, the number of hours that Lourdes will have to jog..

Answers

Answer:

An inequality compares two or more variables by using the <, >, ≤, or ≥ signs.

The number of hours Lourdes will have to jog is 0.4 hours

From the given parameters:

Lourdes plans to jog for at least a distance of 1.5 miles

If Lourdes can jog averagely at the speed of 3.75 mph

Then,

the inequality that can represent the information can be written as:

= 1.5 miles ≤ 3.75 (x) miles/hour

Solving the inequality;

= 1.5 ≤ 3.75 (x)

Making (x) the subject of the formula, we have:

x =  0.4 hours

Therefore, we can conclude that the number of  hours lourdes will have to jog is 0.4 hours

Step-by-step explanation:

The angle which is four times its complement is a. 60 b. 30 C. 45 d. 72​

Answers

Answer:

The answer is D.72°

Step-by-step explanation:

hope this helps.

Which phrase matches the algebraic expression below?
2(x - 7) + 10
OTwo times the sum of x and seven plus ten
OTwo times the difference of x and seven plus ten
OTwo times x minus seven plus ten
OTwo times x minus the sum of seven and ten

Answers

Answer:

O Two times x minus seven plus ten

the diagram shows a circle inside a square 16cm work out the area of the circle​

Answers

Answer:

12.57 or 4π

Step-by-step explanation:

Since the area of 16, the 2 sides must be 4 and 4

From that we can infer that the diameter is 4

Radius is 2

radius squared*pi

4*3.142

12.57

Elaine old bicycle had tires with 12 inch diameter. Her new bicycle has tires with 16 inch diameter. What is the difference in the same conference of the tires​

Answers

Answer:

12.56 inches

Step-by-step explanation:

A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas. During one particular week, the two cars went a combined total of 1700 miles, for a total gas consumption of 55 gallons. How many gallons were consumed by each of the two cars that week

Answers

F= first car
S = second car
F+S =55
F= 55-S
20f+40s=1700
Using substitution method add the value of F to second equation
20(55-s)+40s=1700
1100-20s+40s=1700
1100+20s=1700
20s=600
s=30
So second car consumed 30 gallons of gas; first car consumed 25 gallons

CAN ANYBODY HELP ME What is the 100th term in the sequence beginning with -45, -43, -41, -39, ...?


Group of answer choices


153


150


155


200


55

Answers

Answer:

153

Step-by-step explanation:

Since the given sequence is arithmetic because it has common difference.

-43-(-45) ,= -43+45 = 2

-41+43 = 2

-39+41 = 2

Therefore, the common difference is 2.

General Term

[tex] \displaystyle \large{a_n = a_1 + (n - 1)d}[/tex]

Since we want to find the 100th term, substitute n = 100.

We know common difference which is 2 and defined as 'd'; substitute d = 2

a1 means first term so:-

[tex] \displaystyle \large{a_{100}= - 45 + (100 - 1)2} \\ \displaystyle \large{a_{100}= - 45 + (99)2} \\ \displaystyle \large{a_{100}= - 45 + 198} \\ \displaystyle \large{a_{100}= 153}[/tex]

–8(6+3)
-83
Please help me

Answers

Answer:

-155

Step-by-step explanation:

-8\cdot \:9-83

-72-83

=-155

tập nghiệm của phương trình 3tan+√3=0

Answers

Tan(x) = -3/sqrt(3)
X= tan^-1(-3/sqrt(3))
X= -60 degree

Answer:

if 0° ≤ x ≤ 360°

x = 150°   or   x = 330°     (5/6 π , 11/6 π)

if x can be beyond 2π (360°) , above or below

x = 5/6 π + 2nπ      or   x = 11/6 π + 2nπ

Step-by-step explanation:

3 tanx = -√3

tan x = - 1/√3

if 0° ≤ x ≤ 360°

x = 150°   or   x = 330°     (5/6 π , 11/6 π)

if x can be beyond 2π (360°) , above or below

x = 5/6 π + 2nπ      or   x = 11/6 π + 2nπ

A map of Pennsylvania has a scale of ¾ inch to 25 miles. If Pittsburgh and Philadelphia are 9 inches apart on the map, how many miles apart are the two cities?

Answers

Answer: 300

Step-by-step explanation:

0.75 inches : 25 miles

we can times 0.75 by 12 to get 9, we have to do the same thing on the other side.

9inches : 300 miles

A chemist is using 337 milliliters of a solution of acid and water. If 13.2% of the solution is acid, how
many milliliters of acid are there? Round your answer to the nearest tenth.

Answers

Answer:

44.5 mL

Step-by-step explanation:

337 × 13.2%

= 337 × 0.132

= 44.484 mL

= 44.5 mL (1dp)

The product of x and 7 is at least 21

Answers

it’ll be 3

7 x 3 = 21
3 or greater. You could replace x with any number greater than 3, and your product would be at least 21. I hope this helps :)

Which of following is the graph of y = -(x + 1)2 -3? o ty 2 ?? 덕 a -2 2 4 n DONE​

Answers

Answer:

Neither of the graphs shown.

Step-by-step explanation:

Given the quadratic equation, y = - (x + 1)² - 3, where a = -1, and the vertex is the minimum value that occurs at point (-1, -3). It is easier to tell which graph corresponds to the given equation due to the coefficient, a. In quadratic fucntions, if a < 0, then it means that it is a downward-facing parabola.  The value of a makes the parent function wider or narrower.  

Also, the parabola is shifted 1 unit to the left, as defined by h = -1, and 3 units downward, defined by k = -3.

I'm not sure if there are other graphs as options. Since neither one of the graphs shown applies to the given quadratic equation, I'm including a screenshot of the correct graph for your reference, where it shows where the vertex is located, along with the y-intercept, (0, -4) -- just in case.   Hopefully this helps.

share 40 pounds in the ratio 1:4 between tim and sam

Answers

Answer:

Add the ratio together: 1 + 4 = 5

Divide total by 5: 40/5 = 8

Multiply 8 by each portion of the ratio:

8 x 1 = 8

8 x 4 = 32

Time gets 8

Sam gets 32

PLEASE HELP DUE TODAY NO LINKS WILL REPORT

Answers

Answer:

The first option

Step-by-step explanation:

Because you cannot have a negative squared root

Answer:

a.

Step-by-step explanation:

I had this question before lol.

find two numbers with a sum of
11 and a difference of 5.

Answers

Answer:

8 and 3

Step-by-step explanation:

Answer:

The numbers are 8 and 3

Step-by-step explanation:

Hope This Helps!


Find the measures of two supplementary angleš if the difference between the
measures of the two angies is 35º

Answers

Answer:

<1 = 107.5 degrees

<2 = 72.5 degrees

Step-by-step explanation:

<1 = x

<2 = x -35

x + x - 35 = 180

2x = 180+35

x = 215/2

x = 107.5

<1 = 107.5

<2 = 72.5

HELP ME PLS
if y varies inversely with x, and y = 15/2 when x = 4, find x when y = 15/4

Answers

y=1/x
y=k/x
Where “k” is a constant
15/2=k/4
2k=60
k=60/2
k=30
:. 15/4=30/x
15x=120
x=120/15
:.x=8.
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