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Work Shown:
y-5 = x^2
y = x^2 + 5 ... add 5 to both sides
y = 1x^2 + 5
y = 1(x-0)^2 + 5 ... x replaced with (x-0)
The equation is now in the form y = a(x-h)^2 + k
We have a = 1, h = 0, k = 5.
The vertex is (h,k) = (0,5)
The value of 'a' determines how vertically stretched or compressed the parabola is. Also, if a > 0, then the parabola opens upward; or if a < 0, then the parabola opens downward.
Select the correct answer.
What is the justification for step 2 in the solution process?
12y − 40 − 4y = 6y − 18
Step 1: 8y − 40 = 6y − 18
Step 2: 2y − 40 = -18
A.
the subtraction property of equality
B.
the division property of equality
C.
the addition property of equality
D.
the multiplication property of equality
Answer:A.
the subtraction property of equality
Step-by-step explanation:
7 (2x - 9) = 6x – 15
what is this?
Type the correct answer in each box.
What values of a and b make this equation true?
(4 + ✓–49) – 2(/(-4)2 + V–324) = a + bi
Answer:
-4 , -29
Step-by-step explanation:
The values of a and b that make the equation true are -28 and -9, respectively
How to determine the true values of a and b?The equation is given as:
(4 + √-49) – 2((-4)² + √–324) = a + bi
Evaluate the exponents
(4 + 7i) – 2(16 + 18i) = a + bi
Expand the bracket
4 + 7i – 32 - 16i = a + bi
Collect like terms
4 – 32 + 7i - 16i = a + bi
Evaluate like terms
-28 -9i = a + bi
By comparison, we have:
a = -28 and b = -9
Hence, the values of a and b that make the equation true are -28 and -9, respectively
Read more about complex numbers at:
https://brainly.com/question/10662770
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A coordinate plane with 4 lines. The first line is labeled a(x) and passes through (2, negative 4) and (0, 2) and continues past (negative 1, 5). The second line is labeled f(x) and passes through (negative 6, negative 6), (negative 3, 0), and (0, 6). The third line is labeled g(x) and passes through (negative 2, negative 7), (0, negative 3), (1, negative 1) and (2, 1). The fourth line is labeled h(x) and passes through (negative 6, negative 6), (0, negative 3), and (6, 0). When Janelle woke up, it was –3 degrees Fahrenheit outside. As the morning progressed, the temperature rose 2 degrees every hour. Which line on the graph could represent this scenario? a(x) f(x) g(x) h(x)
Answer:
the answer is g(x)
Step-by-step explanation:
Answer:
G(x)
Step-by-step explanation:
I just did the assignment.
DESCRIBE how a power with a zero exponent (a^0) and a power with a negative exponent (a^−n) can be simplified.
Answer:
[tex]a^{-n}[/tex] is [tex](\frac{1}{a})^{n}[/tex] OR [tex]\frac{1}{a^{n} }[/tex]
[tex]a^{0}[/tex] = 1, where a ≠ 0
Step-by-step explanation:
To simplify the exponents, you must put it in positive value
Example:
The simplest form of [tex]2^{-3}[/tex] is to change the exponent from negative value to positive value.
You can do that by reciprocal the number, [tex]2^{-3}=(\frac{1}{2})^{3}[/tex]You can write it [tex]\frac{1}{2^{3}}[/tex], because 1 to any power equal 1That means if you want to simplify [tex]a^{-n}[/tex], reciprocal a and change the sign of the power from -n to n
The simplest form of [tex]a^{-n}[/tex] is [tex](\frac{1}{a})^{n}[/tex] OR [tex]\frac{1}{a^{n} }[/tex]
For any number, a (a ≠ 0), 1 × a = a, so, the reason that any number to the zero power is 1 because any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, (1)
Example:
The value of [tex](5)^{0}[/tex] = 1, because it is the product of no numbers, so it is equal to the multiplicative identity (1)
That means [tex]a^{0}[/tex] = 1, where a ≠ 0
Very important note:
[tex](0)^{0}[/tex] is undefined value
Karen is saving money to buy a game . So far he saved $15 , which is three fourths . How much does the game cost ?
Answer:
$25
Step-by-step explanation:
Let X = total cost of game
(3/5) X = $15
Multiply both sides of equation by 5/3
(5/3)(3/5) X = (5/3) $15
X = $25
cost of game is $25
Re-write in standard form: y=3x-6 * Your answer
Answer: 3x-y=6
Step-by-step explanation:
Hope this helps
Need help asap!
Given that m
Round each mixed number to the nearest whole number. Then, estimate the sum.
141 +31
Answer:
172
Step-by-step explanation:
It is already a whole number so you just add.
En la casa de Juan, van a pedir pizza para la comida, pero cuando la van a pedir se dan cuenta que deben pedirla por perímetro o área de la misma. La mamá dice que es más grande la de perímetro de 100cm y el papá dice que es más la de área de 100cm². ¿Cuál tiene la razón? *
Responder:
La pizza con un perímetro de 100 cm es más grande ¿verdad?
Explicación paso a paso:
Deja que la pizza tenga forma circular.
Sea el área de la pizza = πd² / 4 y;
Perímetro de la pizza = πd
d es el diámetro de la pizza
Si la madre dice que el que tiene un perímetro de 100 cm es más grande, para estar seguros necesitamos obtener el diámetro de la pizza. La de mayor diámetro será la pizza más grande.
P = 100cm
100 = πd
d = 100 / π
d = 100 / 3,14
d = 31,85 cm
El diámetro de la pizza mamá es de 31,85 cm.
Si el padre dice que el que tiene un área de 100 cm² es más grande, obtengamos también el diámetro para estar seguros.
A = πd² / 4
100 = πd² / 4
400 = πd²
d² = 400 / π
d² = 400 / 3,14
d² = 127,39
d = √127,39
d = 11,29 cm
Por lo tanto, el diámetro de la pizza padre es de 11,29 cm.
Dado que el diámetro de la pizza madre es mayor que el de esa, la pizza con un perímetro de 100 cm es más grande, lo que demuestra que la madre tiene razón.
Simplify the following expression using the commutative and associative properties (combining like terms);
-3x + 7 -12 + 5x
Its not showing a actual answer
Answer:
the answer will be
2x-5
what is 14/16 + 1/5
Answer:
27/40
Step-by-step explanation:
1
Simplify —
5
Equation at the end of step
1
:
14 1
—— - —
16 5
STEP
2
:
7
Simplify —
8
Equation at the end of step
2
:
7 1
— - —
8 5
and then round the denominator up to 40
multiply 5 times 7 now
multiply 8 times 1
35/40-8/40=27/40
Simplify the radical 3sqrt16a
Answer:
4a⋅ x/ae
Step-by-step explanation:
How do I write an equation in point-slope form for m=-3 (-2,-1) ?
Answer:
y + 1 = -3(x + 2)
Step-by-step explanation:
Point-slope form is y - y1 = m(x - x1)
m= -3 (-2, -1)
Plug -3 in for the m in the equation, -2 in for x1, and -1 in for y1
y - (-1) = -3(x - (-2))
Subtracting negatives will make them positive
y + 1 = -3(x + 2)
This is the point-slope form, continuing to solve for y will give the y-intercept form.
Y-intercept Form:
y = -3x - 7
Find x ÷ y, if x = 3 5/6 and y = 3 3/5 . Express your answer in simplest form.
Answer:
Step-by-step explanation:
convert 3 5/6 and 3 3/5 into a improper fraction
x=23/6 and y = 18/5
23/6 ÷ 18/5 multiply both sides by 6 to cancel it out
23 ÷ 108/5 multiply both sides by 5 to cancel it out
answer 115/108
Answer:
1 1/45
Step-by-step explanation:
Solve 3x−5 = 9. (1 point) a x = −3 b x = 2 c x = 7 d x = 8
Answer:
x=7
Step-by-step explanation:
x 3^(x-5)=9 (Original Question)
Check attatched image for explanation
I'll give u full brainlist if u do this!
calculate the agerage speed for each sutuation, rounding your answer to two dicimal places where appropriate:
a) a bus travels 876km in 16 hours
b) an athlete runs 10 km in 26.44 minutes
Answer:
a. 54.75
b. 2.64
Step-by-step explanation:
A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units
x + 4
x + 4
3x + 13
3x + 43
Answer:
Step-by-step explanation:
(X-7)(3x+2) need answer!!
Answer: the answer is
=3[tex]x^{2}[/tex]−19x−14
Step-by-step explanation: (x−7)(3x+2)
=(x+−7)(3x+2)
=(x)(3x)+(x)(2)+(−7)(3x)+(−7)(2)
=3x2+2x−21x−14
=3x2−19x−14
HELP ME PLEAAASEEEEEEEEE
YEA ITS ME AGAIN I NEED HELP
Answer:
B. 4/3 hours
Step-by-step explanation:
because in smart
identify terms, like terms, coefficients, constant terms then simplify the expression
Answer:
coefficient: a numerical or constant Quanity plays before and multiplying the variable in and algebraic
constant turn: a constant is it's only number or sometimes a letter such as a, b, or c
like terms: our terms food variables and their exponents such as two X over two, (are the same).
PLZ HELP!!!!! DUE TODAY! 50 POINTS & BRAINLIEST FOR SOMEONE WHO CAN EXPLAIN TO ME WHAT I DID WRONG!!!!!!
p.s. thank you in advance!
Answer:
all angles are congruent, the smaller is just a dilation, but the angles are all congruent
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
Yes.
all the internal angles on both similar triangle are congruent.
2/5(j+40)=-4 can you show the work plz
Answer:
-50
Step-by-step explanation:
2/5(j + 40) = -4
j+40 = -4 ÷2/5
j+40 = -10
j = -10 - 40
j = -50
Please help me I am so confused it would mean a lot.
Step-by-step explanation:
1. The midpoint formula says the coordinates of the midpoint are the average of the endpoints.
x = (x₁ + x₂) / 2
y = (y₁ + y₂) / 2
I'll do #2 and #3 as examples.
2. x = (-4 + 10) / 2 = 3
y = (6 + -10) / 2 = -2
So the midpoint is (3, -2).
3. x = (-3 + -6.5) / 2 = -4.75
y = (-8 + -4.5) / 2 = -6.25
So the midpoint is (-4.75, -6.25).
convert 3 and 7/8 to decimal
Answer:
Hey!
[tex]3\frac{7}{8}[/tex] in decimal form is 3.875
Step-by-step explanation:
7/8 is 0.875
We just add this to 3 to make 3.875!
I HOPE THIS HELPED!Convert 0.4 J to kJ.
Please show working
Answer:
0.0004
Step-by-step explanation:
divide the energy value by 1000
0.4/1000
HURRY FAST I NEED HELP ASAPThe linear function that is represented by which table has the same slope as the graph? On a coordinate plane, a line goes through points (0, negative 3) and (2, 1). A 2-column table with 5 rows. Column 1 is labeled x with entries negative 25, negative 21, negative 17, negative 13, negative 9. Column 2 is labeled y with entries negative 9, negative 7, negative 5, negative 3, negative 1. A 2-column table with 5 rows. Column 1 is labeled x with entries negative 25, negative 21, negative 17, negative 13, negative 9. Column 2 is labeled y with entries 9, 7, 5, 3, 1. A 2-column table with 5 rows. Column 1 is labeled x with entries negative 9, negative 7, negative 5, negative 3, negative 1. Column 2 is labeled y with entries negative 25, negative 21, negative 17, negative 13, negative 9. A 2-column table with 5 rows. Column 1 is labeled x with entries 1, 3, 5, 7, 9. Column 2 is labeled y with entries negative 9, negative 13, negative 17, negative 21, negative 25.
A baseball player swings at the ball 56 times over a season and hits 16 times.
What is the ratio of hits to misses?
Answer:
2:5.
Step-by-step explanation:
Number of misses = 56 - 16 = 40.
Ratio = 16:40
- which simplifies to (16/8) : (40 / 8)
= 2:5.
Justified” is an option of paragraph formatting in a Word processor. Which of the following contain Justified option?
(1 Point)
Alignment
Orientation
Columns
Borders
8+10p=12+10p-4
Help me please
Answer:
p=0
Step-by-step explanation:
subtract 10p from both sides that leaves 8+p=12-4 12-8=4 p=4-4 p=0