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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HELPPPPPPPPPPPPPPP MEEEEEEEEEEEEE
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
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.
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!! :(
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.
SetupThe 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)
Iterationsh(-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.
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
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
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?
Answer:
90 cm^3
5*4*3=90
What is the slope of the line that contains the points (-2, 7) and (2, 3)?
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
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) ?
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!
Answer:
x = 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality 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 = 1Step 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 = 8Here 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.
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 :)
Calculate the slope for the following function
Answer:
150n is answer odd this q
What’s the greatest common factor?
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).
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
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
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.
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?
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
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) + RR 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) = RThe 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
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.
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;-;
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?
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
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
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).
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1
Solve the equation.
y + 3 = y + 9
f
O y= 1
O y = 3
O y = 6
O y = 9
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
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.
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