#10Change from standard form to vertex formy= -x²-6x-7

Answers

Answer 1

So the vertex form of the equation is: y = -(x + 3)² + 2.

To change the standard form y = -x² - 6x - 7 to vertex form, we need to complete the square.

First, let's factor out the negative sign:

y = -(x² + 6x + 7)

Next, we need to add and subtract a constant term inside the parentheses that will allow us to complete the square:

y = -(x² + 6x + 9 - 9 - 7)

Now, we can group the first three terms and factor the quadratic trinomial inside the parentheses:

y = -(x + 3)² + 2

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Related Questions

HELPPPPPPPPPPPPPPP MEEEEEEEEEEEEE

HELPPPPPPPPPPPPPPP MEEEEEEEEEEEEE

Answers

Answer:

About 4.5 units

Step-by-step explanation:

Please let me know if you want me to add an explanation

Simplify 3t-4u + 8t- u​

Answers

Answer:

11t-5u

Step-by-step explanation:

combine like terms

3t-4u+8t-u

(3t+8t)+(-4u-u)

(11t)+(-5u)

11t-5u

Hopes this helps please mark brainliest

Answer:

11t - 5u

Step-by-step explanation:

Given expression,

→ 3t - 4u + 8t - u

Let's solve the given expression,

→ 3t - 4u + 8t - u

→ (3t + 8t) + (-4u - u)

→ 11t - 5u

Hence, the answer is 11t - 5u.

BRAINLIEST TO THE PERSON THAT ANSWERS FIRST

Marco states that 7.696696669…… is a rational number because it is a repeating decimal. Is he correct? Justify your answer.

Answers

Answer:

A repeating decimal can be written as a fraction using algebraic methods, so any repeating decimal is a rational number.

Marco is wrong cuz its not repeating

Approximate the solution to the equation f(x) = g(x) using three iterations of successive approximation. Use the graph as a starting point.

(SCREENSHOT)

I tried to solve this using the process in the edmentum learning path but I got it wrong with -49/16
please help its due soon!! :(

Approximate the solution to the equation f(x) = g(x) using three iterations of successive approximation.
Approximate the solution to the equation f(x) = g(x) using three iterations of successive approximation.

Answers

Answer:

  -61/16

Step-by-step explanation:

The version of successive approximation you are using here is one that starts with an interval containing the solution, then cuts that interval in half with each iteration. The end result of each round of iteration is a new approximation to the solution: the midpoint of the smaller interval.

Setup

The graph shows the curves cross at a point between x = -4 and x = -3, so the initial interval is [-4, -3]. We have defined the function h(x) = g(x) -f(x) so that h(-4) < 0 and h(-3) > 0. The sign of h(x) will tell which interval limit gets replaced:

  h(x) > 0   ⇒   x replaces the upper limit

  h(x) < 0   ⇒   x replaces the lower limit

The initial estimate of the solution is (-4 +(-3))/2 = -7/2. (iteration 0)

Iterations

  h(-7/2) > 0, so the interval becomes (-4, -7/2), and the approximate solution after iteration 1 is x ≈ -15/4.

  h(-15/4) > 0, so the interval becomes (-4, -15/4), and the approximate solution after iteration 2 is x ≈ -31/8.

  h(-31/8) < 0, so the interval becomes (-31/8, -15/4) and the approximate solution after iteration 3 is x ≈ -61/16

__

Additional comment

Note that we don't really care about the function value when we do iteration this way. We only care about the sign of the function value. Other iteration methods use the function values to try to approximate the root. The secant method uses a linear approximation between the function values at the end points of the interval to choose a new value for x.

Approximate the solution to the equation f(x) = g(x) using three iterations of successive approximation.

An airplane flies 370 miles from point A to point B with a bearing of 24" . It then flies 240 miles from point B to point € with a bearing 0f 37" Draw diagram of the information. Then find the distance from point A to point C and the bearing from point A to point C

Answers

The distance from point A to point C and the bearing from point A to point C is 229.5 miles.

Given that:

AB = 370 miles

angle A = 24 degrees

BC = 240 miles

angle B = 37 degrees 

To determine the distance from point A to C, we can use the cosine law since we are given two angles and two sides of a regular triangle. 

The angle opposite side AC is angle B which is equal to 37 degrees. 

(AC)^2 =(AB)^2 + (BC)^2 - 2(AB)(BC)cos(B)

Now we have to solve for AC:

(AC)^2 =(370)^2 + (240)^2 - 2(370)(240)cos(37) 

AC = 229.48 miles.

Hence the answer is, the distance from point A to point C and the bearing from point A to point C is 229.5 miles

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cheryis softball batting average in 0.340 and karins is 0.304 kartin says they have the same avarge what error did she make explain

Answers

She made an error , 0.340 is bigger because of the ones and tens place being switched

1.
4 cm
5 cm
3 cm
A. What is the area of the figure above?

B. What is the volume of the figure above?

1.4 cm5 cm3 cmA. What is the area of the figure above?B. What is the volume of the figure above?

Answers

Answer:

90 cm^3

5*4*3=90

What is the slope of the line that contains the points (-2, 7) and (2, 3)?

Answers

Answer:

m=-1

Step-by-step explanation:

3-7/2-(-2)

-4/2-(-2)

-4/2+2

-4/4

-1

Answer:

slope = -1

Step-by-step explanation:

gradient = (difference in y)/(diffidence in X)

m = (7-3)/(-2-2)

m = 4/-4

m = -1

Which type of parent function is f(x) = x2? O A. Square root O B. Linear O C. Cube root O D. Quadratic​

Answers

Answer: D. quadratic

Step-by-step explanation:

Write an equation that represents a line that is perpendicular to 5x+y=13 and passes through the point (15,-31) ?

Answers

To find an equation for a line that is perpendicular to the line 5x + y = 13 and passes through the point (15, -31), the given line and then find negative reciprocal of that slope to obtain the slope of the perpendicular line.

The given equation is 5x + y = 13. To determine its slope, we can rewrite it in slope-intercept form (y = mx + b), where m represents the slope. Rearranging the equation, we have y = -5x + 13, indicating that the slope of the given line is -5.

The slope of a line perpendicular to another line is the negative reciprocal of its slope. Therefore, the slope of the perpendicular line is 1/5.

Using the point-slope form of a line, which states that y - y1 = m(x - x1), we can substitute the values of the given point (15, -31) and the perpendicular slope (1/5) into the equation. Thus, the equation of the line perpendicular to 5x + y = 13 and passing through (15, -31) is y + 31 = (1/5)(x - 15).

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solve:6x+2=2(x+4)-2
happy holidays!

Answers

Answer:

x = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

6x + 2 = 2(x + 4) - 2

Step 2: Solve for x

Distribute 2:                              6x + 2 = 2x + 8 - 2Combine like terms:                 6x + 2 = 2x + 6Subtract 2x on both sides:       4x + 2 = 6Subtract 2 on both sides;        4x = 4Divide 4 on both sides:            x = 1

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    6(1) + 2 = 2(1 + 4) - 2Multiply:                               6 + 2 = 2(1 + 4) - 2Add:                                     8 = 2(5) - 2Multiply:                               8 = 10 - 2Subtract:                              8 = 8

Here we see that 8 does indeed equal 8.

∴ x = 1 is the solution to the equation.

a collection of nickels, dimes, and quarters consist of 70 coins with a total of $ 8.00 . if there are 2 times as many dimes as quarters, find the number of each type of coins.

Answers

The number of each type of coins are as follows:

q = 15 quarters.

d = 30 dimes.

n = 25 nickels.

How to determine the number of each type of coins?

In order to solve this word problem, we would assign a variables to the unknown numbers and then translate the word problem into algebraic equation as follows:

Let d represent the number of dimes.

Let q represent number of quarters.

Let n represent number of nickels.

Let T represent total number of coins.

Note: 1 quarter is equal to 0.25 dollar, 1 nickel is equal to 0.5 dollar, and 1 dime is equal to 0.1 dollar.

Translating the word problem into an algebraic equation, we have;

Dimes; d = 2q     .....equation 1.

Nickels; (70 - (q + 2q)) = (70 - 3q)     .....equation 2.

Total coins; T = n + d + q

0.5(70 - 3q) + 2q(0.1) + q(0.25) = 8.00

Multiplying all through by 100, we have:

5(70 - 3q) + 2q(10) + q(25) = 800

350 - 15q + 20q + 25q = 800

350 + 30q = 800

30q = 800 - 350

30q = 450

q = 450/30

q = 15 quarters.

For the number of dimes, we have:

Dimes, d = 2q

Dimes, d = 2(15)

Dimes, d = 30 dimes.

For the number of nickels, we have:

Nickels, n = (70 - 3q)

Nickels, n = (70 - 3(15))

Nickels, n = (70 - 45)

Nickels, n = 25 nickels.

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please help me with this :) i will give you brainliest :)

please help me with this :) i will give you brainliest :)
please help me with this :) i will give you brainliest :)

Answers

The answer is A, use the (x,y) to get your answer

Calculate the slope for the following function

Calculate the slope for the following function

Answers

Answer:

150n is answer odd this q

What’s the greatest common factor?

Whats the greatest common factor?

Answers

the answer is the last one :)

hope this helps!!

If the F test for the overall significance of a multiple regression model turns out to be statistically significant, it means that each one of the regression coefficients (β coefficients) is different from zero (True/False).

Answers

True: because A significant F test implies that each regression coefficient in a multiple regression model is different from zero.

What does a statistically significant F test indicate in a multiple regression model?

If the F test for overall significance of multiple regression model is statistically significant, it indicates that each regression coefficient (β coefficient) is different from zero.

The F test assesses the joint significance of all the coefficients, determining if the model effectively explains the variability of the dependent variable.

A significant F test suggests that at least one independent variable is related to the dependent variable, implying differences in each regression coefficient.

By comparing the variability explained by the regression model to unexplained variability, the F test evaluates the overall fit of the model.

If the test statistic surpasses the critical value at a chosen significance level, such as 0.05 or 0.01, the null hypothesis is rejected, signifying a substantial overall effect of the model.

Therefore, a statistically significant F test confirms the importance of each regression coefficient and supports the model's ability to explain the dependent variable.

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-3i + 14 -11 + 11z show your work

Answers

Answer:

Step-by-step explanation:

It's best to provide ALL instructions.  In this case, "Simplify the following expression by combining like terms."

3i + 14 -11 + 11z  becomes  3i + 3 + 11z.  This cannot be simplified further.

-

The required simplified expression of the given expression is 3 (1 - i) + 11z.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression
= -3i + 14 -11 + 11z

Simplify the above expression,
= -3i + 3 + 11z
= 3 (1 - i) + 11z

Thus, the required simplified expression of the given expression is 3 (1 - i) + 11z.

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i need help i will give brainliest

i need help i will give brainliest

Answers

Answer:

The bottom R one

Step-by-step explanation:

Bottom right shows 6 times as many boxes for tag as hop  and shows total 36 students

TRUE / FALSE. when the block is in equilibrium, each spring is stretched an additional ∆x. then the block is set into oscillation with amplitude a; when it passes through its equilibrium point it has a speed v.

Answers

The statement is true.

When the block is in equilibrium, each spring is stretched an additional ∆x. This implies that the forces from the two springs are balanced, and the block is not experiencing any net force in the equilibrium position.

When the block is set into oscillation with amplitude a, it will pass through its equilibrium point during the oscillation. At the equilibrium point, the displacement of the block is zero, and it changes direction. At this point, the block has its maximum speed v, as it is accelerating towards the equilibrium position.

The speed of the block decreases as it moves away from the equilibrium position, reaches zero at the maximum displacement (amplitude), and then starts accelerating towards the equilibrium point again. Therefore, when the block passes through its equilibrium point, it has its maximum speed v.

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He local zoo has 23 animals it can take on visits to schools and other community centers. How many ways can the zoo directors choose 9 animals for a trip to a middle school?

Answers

Answer:

207

Step-by-step explanation:

if the polynomial p(x) is being divided my x-r, the remainder is p(r) TRUE OR FALSE

Answers

Answer:

True. Remainder when divided by (x-r) is p(r).

Answer:

TRUE

Step-by-step explanation:

Let p(x) is divided by (x-r)

Then, by division algorithm of polynomials

p(x) = (x-r) Q(x) + R

R is the remainder and it is a constant because according division algorithm degree of remainder is always less than degree of divisor and greater than Or equal to 0. So it is 0.

Q(x) is quotient.

Now, if we particularly put x = r in the equation, we get.

p(r) = ( r-r) Q(r) + R p(r) = R

The hiding sheep flat the following order pairs in the cartation plane connect the point and then divide the shape answer in separate heat of paper​

Answers

Answer:

hakndjbfjbbjdbhdbbd

Step-by-step explanation:

jrufuhjbnf

Answer:

mag basa ka Po makukuha nyo Po sagot don

A teacher bought 8 cheese pizzas for a class part. each pizza was on sale for $2 off its regular price. The teacher spent $88. what is the regular price of each pizza.

A teacher bought 8 cheese pizzas for a class part. each pizza was on sale for $2 off its regular price.

Answers

Answer: $13.00

Step-by-step explanation: If the teacher spent $88 and bought 8 pizzas we first have to find how much they spent on each pizza. We do this by dividing the money by the number of pizzas so 88/8 which leaves us with $11 spent for each pizza. Since each pizza was on sale for $2 off its regular price it means that each pizza was originally $2 more than what the teacher payed for which means the regular price is 11+2 which means each pizza cost $13.

i mark brianlest just help me;-;

i mark brianlest just help me;-;

Answers

Answer:

B)113.04 cm^2

Step-by-step explanation:

Answer:

B)113.04 cm^2

Step-by-step explanation:

circumference is 37.68

C=2πr

now the Area is

A=πr^2

we need to know the radius

so 37.68=2(3.14)r

divide both sides by 2(3.14)

get

r=6

now solve for area

A=(3.14)(6)^2

=113.04

what is 1 over 2 multiplied by 1 over 5?

Answers

Answer:

i think its 1/10 or 1 over 10

Step-by-step explanation:

Answer:

1 over 10

Step-by-step explanation:

1×1 = 1 (multiply numerator)

2×5 = 19 ( multiply denominator)

Suppose MN= 14 cm and m

Answers

Answer:

what exactly is the question bro or babe

Answer:

?

Step-by-step explanation:

The rim of the volcanic crater shown below is a circle. The diameter is 840 m.
What is the circumference of the rim of the crater in kilometres (km)?
Give your answer to 1 d.p.
840 m
Not drawn accurately

Answers

Answer:

2.6 kilometers

Step-by-step explanation:

To find the circumference of a circle, we can use the formula:

Circumference = π * diameter

Given that the diameter of the volcanic crater is 840 meters, we can substitute this value into the formula:

Circumference = π * 840

Using the approximate value of π as 3.14159, we can calculate the circumference:

Circumference = 3.14159 * 840

Circumference ≈ 2643.1796 meters

To convert the circumference to kilometers, we divide the value by 1000:

Circumference in kilometers = 2643.1796 / 1000

Circumference ≈ 2.6432 kilometers

Therefore, the circumference of the rim of the volcanic crater is approximately 2.6 kilometers (rounded to 1 decimal place).

[
1
Solve the equation.
y + 3 = y + 9
f
O y= 1
O y = 3
O y = 6
O y = 9

Answers

The third option Y=6

The legs of a right triangle are 3 units and 5 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth. 4.00 units 2.83 units 5.83 units 8.00 units

Answers

Answer:

5.83units

Step-by-step explanation:

from Pythagoras theorem;

a^2=b^2+c^2

where a is the hypotenuse,b is the opposite and c is the adjacent

b=3 and c=5

a^2=3^2+5^2

a^2=9+25

a^2=34

find the square root of both sides,

√a^2=√34

a=5.83units

Answer:5.83

Step-by-step explanation:

Someone plz help me thank you.

Someone plz help me thank you.

Answers

Answer:

there are 438 blue marbles and 162 red marbles

Step-by-step explanation:

If we were doing it out of 100 there would be 73 blue marbles and 27 red marbles add 73 to 27 and you get 100 so multiply 73 by 6 and you get 438 and then multiply  27 by 6 and you get 162 and 438 to 162 and you get 600. Therefore your answer is 438 blue marbles and 162 red marbles.

hope this helps

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