y= -(x+3)^2 -5
What is the leading coefficient?
How do you find the vertex?

Answers

Answer 1

Answer:

To find the leading coefficient, first expand the function:

[tex]y= -(x+3)^{2} -5\\\\y=-(x^{2} +6x+9)-5\\\\y=-x^{2} -6x-9-5\\\\y=-x^{2} -6x-14[/tex]

The leading coefficient is the coefficient of the highest-order term, which, in this case, would be the -1 from -x².

To find the vertex: see image below

Vertex = (-3, -5)

Y= -(x+3)^2 -5 What Is The Leading Coefficient?How Do You Find The Vertex?

Related Questions

What is the sign of 3ay when 2 > 0 and y < 0?
Choose 1 answer
Positive
Negative
Zero

Answers

Option A - Positive Step-by-step explanation:
Given : Expression when
To find : What is the sign of the expression ?
Solution :
Expression
when
We know that,
When a negative unit is divided by a negative unit then the negative sign became positive sign as negative sign get cancel in numerator and denominator.

If onee moderator was typing why this website is bad every 20 minutes and the other was trying to update this site every 30 minutes by what time will the one updating the site find out about the insults

Answers

Answer: 60 minutes or 1 hour.

Step-by-step explanation:

Since one moderator was typing every 20 minutes while the other moderator was typing every 30 minutes, then the time the other one will find about the insult simply means that we should find the lowest common multiple of 20 and 30. This will be:

20 = 20, 40, 60, 80, 100, ..

30 = 30, 60, 90, 120 .....

Here, we can see that the lowest common multiple is 60. Therefore, the other one will find about the insults in 60 minutes.


Find dy /dx of x² - 2x + 5 - 6x

Answers

Answer:

Step-by-step explanation:

If [tex]y=x^2-2x+5-6x[/tex] then

[tex]y=x^2-8x+5[/tex] by combining like terms. (I'm thinking you might have mistyped the problem because this representation is weird).

[tex]\frac{dy}{dx}=2x-8[/tex]

1. Which of the following is an algebraic expression?
a. X+5= 7
b. 5-2x = 3
C. 5x +4- 2x
d. -2 = 3x + 1

Answers

1.

C. 5x + 4 - 2x is an algebraic expression

If 4 cans of cat food costs $17.20, how many cans of cat food can be purchased
with $38.70

Answers

Answer:

9

Step-by-step explanation:

let the price of one can food be x,

4x=17.20

x=4.3

number of can foods that can be purchased = 38.70/x = 38.7/4.3 = 9

Step-by-step explanation:

4CANS=$17.20

$38.70

cross multiply

4 multiply by 38.70 =154.8 divide by 17.20

ANSWER = 9

Vail skied 2 km north, 2 km west, 1 km north, and 2 km west. How far was she from her starting point?

Answers

Answer:

5.0645km

Step-by-step explanation:

For the first part of the journey where Vail skied 2 km north, 2 km west

displacement = √2² + (-2)²

displacement = √4+4

displacement = √8

displacement = 2√2 km

d1 = 2√2 km

For the second part of the journey where he skeid 1 km north, and 2 km west. How far was she from her starting point?

displacement = √1² + (-2)²

displacement = √1+4

displacement = √5

d2 = √5 km

Total displacement = d1 + d2

Total displacement = 2√2 + √5

Total displacement = 2(1.4142) + 2.2361

Total displacement = 2.8284+ 2.2361

Total displacement = 5.0645km

Hence she was 5.0645km from her starting point


Which line is parallel to the line ‘y = 1/2x + 5’ and passes through the
point (-2, 1)?

A. ‘y=x+3
B. ‘y=1/2x+2
C. ‘y=1/2x - 4
D. ‘y=“-”1/2x

Answers

Answer:

B. y=1/2+2

Step-by-step explanation:

since parallel lines always have the same slope, the only two possible answers could be B and C. in order to find if one of those goes through point (-2,1), we have to set up an equation to find the base:

1=1/2(-2)+b

1=-1+b

2=b

We can plug in the base with the slope for the equation and the new equation would be y=1/2x+2

A train is exactly 24km from Smalltown at 7:00p.m. It travels toward Smalltown at a constant rate of 90km per hour. At what time does the train reach Smalltown?

Answers

Answer:

7:16 P.M.

Step-by-step explanation:

24/90=4/15. There are 60 minutes in an hour, so we have 240/15=16.

the difference of 8 and 3 is multiplied by one quarter of the sum of 7 and 5​

Answers

Answer:

15

Step-by-step explanation:

the difference of 8 and 3 : 8-3 = 5

sum of 7 and 5 : 7+5 = 12

a quarter of that sum : 12/4 = 3

the difference from before is now multiplied by that quarter : 5 × 3 = 15

I know, you are a beginner, but you don't know basic arithmetic calculation of +, -, × , / ? really ?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The solution of the difference of 8 and 3 is multiplied by one-quarter of the sum of 7 and 5 is 15.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The statement can be solved as shown below,

1.   The difference between 8 and 3,

     8 - 3 = 5

2.   The difference between 8 and 3 is multiplied by one-quarter of the    sum of 7 and 5,

    ​[tex](8-3) \times \dfrac{(7+5)}{4}\\\\= 5 \times \dfrac{12}{4}\\\\= 15[/tex]

Hence, the solution of the difference of 8 and 3 is multiplied by one-quarter of the sum of 7 and 5 is 15.

Learn more about Multiplication:

https://brainly.com/question/14059007

#SPJ2

What is the average of −18.75 and 200.25?


90.75


100.125


109.5


181.5

Answers

90.75 it the answers

The altitude a (in feet) of a plane t minutes after liftoff is given by a = 3400t + 600. How many minutes after liftoff is the plane at an altitude of 21,000 feet

Answers

Answer:

6

Step-by-step explanation:

Altitude = 3400t +600

21,000 = 3400t +600

21000-600= 3400t

20400/3400 = 3400t/3400

t= 6

Answered by Gauthmath

5a + 18 < −27 pre algibra

Answers

Answer:

X < -9

Step-by-step explanation:

5a +18 < -27

5a < -27 -18

5a < - 45

5a/5 < - 45/5

a < - 9

Answred by Gauthmath

Answer: -9

Step-by-step explanation:

5a+18 < -27

5a< -27-18

5a<-45

a< -45/5

a< -9

highest common factor of 9 and 29 ​

Answers

Answer:

1

Step-by-step explanation:

See pic for steps :)

The highest common factor of 9 and 29 is: 1

Please help!!! Much appreciated!!

Answers

Answer:

C

Step-by-step explanation:

As n → ∞

[tex]\frac{85}{n}[/tex] , [tex]\frac{75}{2n}[/tex] , [tex]\frac{15}{2n^2}[/tex] → 0

Then

15 - 35 - 0 + 55 + 0 + 0

= - 20 + 55

= 35 → C

Please help explanation if possible

Answers

Answer: y = -1x + 1

Step-by-step explanation:

(choose two points on the line to find the slope)

(0,1) and (2,-1)

(slope = m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-1}{2-0}=\frac{-2}{2} =-1[/tex]

y = mx + b, (0,1), (2,-1), m=-1

(both points work and yield the same equation)

[tex]y=mx+b\\1=-1(0)+b\\b=1\\y=-1x+1[/tex]

how many five digit numbers can be created using the digits 2 3 4 7 8 and 9 without repeating any digits in the five digit number

Answers

Answer:

6*5*4*3*2*1 = 6! = 720

Step-by-step explanation:

There are 720 three digit numbers that can be created from the digits provided given that no digit may be repeated.

What is a permutation?

A permutation is defined as a mathematical process which determines the number of different arrangements in a set of objects when the order of the sequential arrangements.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

There are six choices to begin with and that quantity decreases by one every time the next digit is chosen as shown below:

⇒ 6*5*4*3*2*1

⇒ 6!

720

Hence, there are 720 three digit numbers that can be created from the digits provided given that no digit may be repeated.

Learn more about permutation here:

brainly.com/question/1216161

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The equation y=2(x-1)^2-5y=2(x−1)
2
−5y, equals, 2, left parenthesis, x, minus, 1, right parenthesis, squared, minus, 5 is graphed in the xyxyx, y-plane. Which of the following statements about the graph is true?

Answers

Answer:

(b) It is symmetrical about [tex]x = 1[/tex]

Step-by-step explanation:

Given

[tex]y = 2(x - 1)^2 - 5[/tex]

See attachment for options

Required

True statement about the graph

First, we check the line of symmetric

[tex]y = 2(x - 1)^2 - 5[/tex]

Expand

[tex]y = 2(x^2 - 2x + 1) - 5[/tex]

Open bracket

[tex]y = 2x^2 - 4x + 2 - 5[/tex]

[tex]y = 2x^2 - 4x -3[/tex]

A quadratic equation [tex]y = ax^2 + bx + c[/tex] has the following line of symmetry

[tex]x = -\frac{b}{2a}[/tex]

By comparison, the equation becomes:

[tex]x = -\frac{-4}{2*2}[/tex]

[tex]x = \frac{4}{4}[/tex]

[tex]x = 1[/tex]

Hence, the line of symmetry is at: [tex]x = 1[/tex]

(b) is true.

Answer: It is symmetrical about x=1

Step-by-step explanation:

Look at this graph:
100
90
80
70
60
50
40
30
20
10
х
0
10 20 30 40 50 60 70 80 90 100
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

See pic below.

slope = 2/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Help please! It’s multiple choice :)

Answers

Answer:

A

Step-by-step explanation:

Answer: A
because ACB>DBC

How much is 3p-4p+r less than 4p+3q-5r​

Answers

Answer:

3p−4q+r) is (p + 7q - 6r)(p+7q−6r) less than (4p+3q-5r)(4p+3q−5r) .

Let (3p-4q+r)(3p−4q+r) is 'x' less than (4p+3q-5r)(4p+3q−5r) . Then

3p-4q+r = 4p+3q-5r - x→3p−4q+r=4p+3q−5r−x

x= 4p+3q-5r - (3p-4q+r)→x=4p+3q−5r−(3p−4q+r)

x= 4p+3q-5r - 3p + 4q - r→x=4p+3q−5r−3p+4q−r

x= 4p- 3p +3q +4q - 5r - r→x=4p−3p+3q+4q−5r−r

x= p + 7q - 6r→x=p+7q−6r

Thus (3p-4q+r)(3p−4q+r) is (p + 7q - 6r)(p+7q−6r) less than (4p+3q-5r)(4p+3q−5r) .

Answer:

5p+3q-6r

Step-by-step explanation:

4p+3q-5r -(3p-4p+r) = 4p+3q-5r-3p+4p-r = 5p+3q-6r

if u made a typo and the question is "How much is 3p-4q+r less than 4p+3q-5r", the answer is p+7q-6r​

What is the value of x in the equation -5/4x=-160

Answers

[tex] \\ \sf \longmapsto \: - \frac{ 5}{4} x = - 160 \\ \\ \sf \longmapsto \: \frac{5}{4} x = 160 \\ \\ \sf \longmapsto \: x = 160 \times \frac{4}{5} \\ \\ \sf \longmapsto \: x = 32 \times 4 \\ \\ \sf \longmapsto \: x = 128[/tex]

Step-by-step explanation:

-5/4x=-160

5/4x=160

x=160×4/5

x=640/5

x=128

Six pairs of shoes cost as much as 1 coat, 2 pairs of jeans cost as much as 3 pairs of shoes, and 4 pairs of socks cost as much as one pair of jeans. How many coats could I exchange for 64 pairs of socks?

Answers

Answer:

4 coats

Step-by-step explanation:

Let the cost of a pair of shoe be x.

Thus, 6 pairs would cost; 6x

Thus,1 coat will cost 6x.

2 pairs of jeans cost as much as 3 pairs of shoes.

Thus, 2 pairs of jeans will cost 3x.

4 pairs of socks cost as much as one pair of jeans.

If 2 pairs of jeans cost 3x

Then 1 pair will cost 3x/2 = 1.5x

Thus, 4 pairs of socks will cost 1.5x.

Thus, 1 pair of socks will cost 1.5x/4

Then, 64 pairs of socks will cost;

64 × 1.5x/4 = 24x

Earlier, we saw that 1 coat costs 6x.

Thus means that;

Number of coats to exchange for 64 pairs of socks = 24x/6x = 4 coats

Someone plz help me 20 points

Answers

Answer:

16

Step-by-step explanation:

Sub in the number of customers (12) into the equation for the line of best fit, and solve.

y = 5/4 (12) + 1

y = 15 + 1

y = 16

There will be 16 positive YELP reviews

If 75% is 10 days, how many days is the remaining 25%?

Answers

Answer:

10/3 days  or 3 1/3 days

Step-by-step explanation:

Let d = number of days total

75% of the days is 10

.75 d = 10

d = 10/.75

d = 40/3 days

We want to know how man is 25% of d

d * 25%

(40/3) *.25

10/3 days

A viewfinder has a triangular lens. Some of the measurements of the lens are
shown below. Which of the following best represents the length of a?
B
26°
a
С
389
10
A
Triangle not drawn to scale

Answers

Answer: Choice A) 6.8 inches

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

Explanation:

It's a bit strange why your teacher has the "26 degree" label pointing at a side length, rather than an actual angle. I'm assuming your teacher meant to aim it at angle C. In other words, I'm assuming they meant to say angle C = 26 degrees.

If that assumption is correct, then,

A+B+C = 180

38+B+26 = 180

B+64 = 180

B = 180-64

B = 116

Then we can use the law of sines like so:

a/sin(A) = b/sin(B)

a/sin(38) = 10/sin(116)

a = sin(38)*10/sin(116)

a = 6.84986152123146

a = 6.8

Side 'a' is approximately 6.8 inches long. So that's why the answer is choice A.

If a and b are parallel and c and d are parallel, which pair of angles are congruent?

A. 1 and 16
B. 5 and 8
C. 9 and 11
D. 12 and 13

Answers

was there any pic added to this equation?

Write the expression 4^4(4^-7)(4) using a single
exponent.
4^-28
4^-4
4^-3
4^-2

Answers

Answer:

4^(-2)

Step-by-step explanation:

4^4(4^-7)(4)

We know that a^b * a^c = a^(b+c)

4^4(4^-7)(4^1)

4^(4+-7+1)

4^(-2)

The sides of an equilateral triangle measure 0.2(10x+90)cm each. If the perimeter of the triangle is 612.6 cm, what is the side length?


Write the equation to solve the problem.


Solve for x


Find the side of the triangle

Answers

Answer:

204.2 cm

Step-by-step explanation:

equilateral means all sides are of equal length.

the perimeter of such a triangle is simply 3 times one of these sides.

so,

612.6 = 3×0.2×(10x + 90) = 0.6×(10x+90) = 6x + 54

6x = 558.6

x = 93.1

so, a single side is

0.2×(10×93.1 +90) = 0.2×(931 + 90) = 0.2×1021 = 204.2 cm

to check

3×204.2 = 612.6 = the original perimeter.

so, correct.

Anybody help please ! Step by step

Answers

Your answer is -6.

Hope my answer is helpful to you. Stay blessed .

[tex]\\ \large\sf\longmapsto {27}^{x} = {9}^{x - 3} \\ \\ \large\sf\longmapsto ( {3}^{3} ) {}^{x} = ({3}^{2} ) {}^{x - 3} \\ \\ \large\sf\longmapsto 3 {}^{3x} = 3 {}^{2(x - 3)} \\ \\ \large\sf\longmapsto {3}^{3x} = 3 {}^{2x - 6} \\ \\ \large\sf\longmapsto 3x = 2x - 6 \\ \\ \large\sf\longmapsto 3x - 2x = - 6 \\ \\ \large\sf\longmapsto x = - 6[/tex]

solve for x with step by step explanation
0.85x - 100 < 80

;-; i don't understand how to solve this help

Answers

0.85x-100<80

collect like terms

0.85x<80+100

0.85x<180

divide by 0.85

x<211.8

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