Use you graph to estimate the value of x when y = 2. How would you work that out?
A consistent system of equations is a system with __________.
the same line
parallel lines
intersecting lines and lines that have the same slope
intersecting lines and lines that have the same equation
Kate ate 1 out of 4 of her orange. ben eat 2 out of 4 of his banana. did kate and ben eat 1 out of 4 add 2 out of 4 equal 3 out of 4 of their fruit? explain
During which two time intervals does the particle undergo equal displacement?
Choices:
a) AB & BC
b) AB & DE
c) BC & DE
d) CD & DF
It’s AB and DE so it would be b
What is the equation for this slope question??
4.)The line whose slope is half as great as Its y-intercept. Their sum is 1.
We are given that the slope is half the y-intercept and their sum is 1. Using these conditions we can solve for b and m (which represent y-intercept and slope) and we find that b=2/3 and m=1/3. Therefore, the equation of the line is y = 1/3x + 2/3.
Explanation:The question is about finding the equation of a line from given conditions. We know that the equation of a line is typically written in the form y = mx + b, where m is the slope and b is the y-intercept. We are given two conditions: the slope is half the y-intercept, and their sum is 1.
Let's assume that the y-intercept is b and the slope is m. Now we can substitute the value of m from the first equation into the second. This gives us: b + b/2 = 1. Solving this, we get b = 2/3 and therefore, m = 1/3.
So, the equation of the line is y = 1/3x + 2/3.
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What is the equation in point slope form of the line that passes through the point (–1,–3) and has a slope of 4?
Answer:
The required equation is y + 3 = 4(x + 1)
Step-by-step explanation:
Since, the point slope form of a line passes through the point [tex](x_1, y_1)[/tex] having slope m is,
[tex]y-y_1 = m(x-x_1)[/tex]
Here,
[tex]x_1 = -1, y_1 = -3\text{ and }m = 4[/tex]
Hence, the equation of the line,
[tex]y+3 = 4(x+1)[/tex]
Or
[tex]y = 4(x+1) - 3[/tex]
Christian is rewriting an expression of the form y = ax2 + bx + c in the form y = a(x – h)2 + k. Which of the following must be true?
h and k cannot both equal zero
k and c have the same value
the value of a remains the same
h is equal to one half –b
Quadratic equations can be expressed in standard form or in vertex form.
The true statement about [tex]\mathbf{y = ax^2 + bx + c}[/tex] and [tex]\mathbf{y = a(x - h)^2 + k}[/tex] is that: the value of a remains the same
The original expression is given as:
[tex]\mathbf{y = ax^2 + bx + c}[/tex]
He wants to rewrite it as:
[tex]\mathbf{y = a(x - h)^2 + k}[/tex]
Expand the above equation
[tex]\mathbf{y = a(x - h)(x - h) + k}[/tex]
Open brackets
[tex]\mathbf{y = a(x^2 - hx - hx + h^2) + k}[/tex]
[tex]\mathbf{y = a(x^2 - 2hx + h^2) + k}[/tex]
Remove bracket
[tex]\mathbf{y = ax^2 - 2ahx + ah^2 + k}[/tex]
Compare the above equation to: [tex]\mathbf{y = ax^2 + bx + c}[/tex]
[tex]\mathbf{ax^2 = ax^2}[/tex]
[tex]\mathbf{-2ahx = bx}[/tex]
[tex]\mathbf{ah^2 + k = c}[/tex]
Analyzing the above equations
[tex]\mathbf{ax^2 = ax^2}[/tex]
Divide both sides by [tex]\mathbf{x^2}[/tex]
[tex]\mathbf{a = a}[/tex]
The above equation means that, the value of a remains unchanged.
Hence, option (c) is true
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Which equation could be used to solve the following system?
x+y=11
4x^2-3y^2=8
A. 4(y + 11)2 – 3y2 = 8
B. 4(11 – y)2 – 3y2 = 8
C. 4(y – 11)2 – 3y2 = 8
D. 4(–11y)2 – 3y2 = 8
we have
[tex]x+y=11[/tex]
[tex]x=11-y[/tex] --------> equation A
[tex]4x^{2} -3y^{2}=8[/tex] ----> equation B
Substitute equation A in equation B
[tex]4(11-y)^{2} -3y^{2}=8[/tex]
therefore
the answer is the option B
[tex]4(11-y)^{2} -3y^{2}=8[/tex]
what times what equals 429
Which of the following is something that will not affect your homeowners insurance premium? a. the distance of the home from a school b. the distance of the home from a flood plain c. the distance of the home from a fire station d. the distance of the home from a fire hydrant
Answer:
a. the distance of the home from a school
Step-by-step explanation:
The distance your home is from a flood plain can potentially increase your homeowner's insurance. If your house is close to a flood plain, your insurance will increase.
The distance your home is from a fire station or a fire hydrant either one can lower your insurance. If your home is within so many feet of a hydrant, you get a discount on your insurance; if it is close enough to a fire station, you get a discount as well.
Since the distance a home is from a school has no bearing on the cost of repairing or replacing the home, this will not affect your homeowner's insurance.
A girl is 18 years old and her brother is a third of her age. When the girl is 36 what would be the age of the brother?
I need help on this asap i'll give you so many points!!
Which of the pairs of angles are complementary
Which ordered pair is a solution to this equation?
(x + 3) y = 14
A. (3, 2)
B. (5, 2)
C. (11, 1)
D. (7, 2)
Cylinder has a height of 14 centimeters and its circle bases have a radius of 10 centimeters. find the surface area of the cylinder.
2(100 ) + 140 square centimeters
1,400 + 140 square centimeters
2(100 ) + 280 square centimeters
2(1,400 ) + 2(140 ) square centimeters
y = 3x
x + 2y = -21
Solve the system. Write your answer as an ordered pair (x, y)
V-15=-27 what's they equation
The given expression V-15=-27 gives the value of v = -12.
Using operations like addition, subtraction, multiplication, and division, a mathematical expression is defined as a group of numerical variables and functions.
And we know that a mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").
The given expression is:
V-15=-27
To solve this equation:
Add 15 on both sides
v - 15 + 15 = - 27 + 15
v = -12
Hence,
The given expression gives the value of v = -12
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The leg of a right triangle is 2 units and the hypotenuse is 4 units. what is the length, in units, of the other leg of the triangle
What is the slope of this graph?
−1/3
3
1/3
−3
Jasmine wants to use her savings of $1,128 to buy video games and music CDs. The total price of the music CDs she bought was $72. The video games cost $43 each. What is the maximum number of video games that Jasmine can buy with her savings?
24
25
26
27
Answer: 24 video games
Step-by-step explanation: jasmine has 1,128 bucks originally. she gets some megadeth and metallica cd's (cause if she's got taste, that's probably what she got) and that adds up to 72 bucks. now she wants to buy a whole bunch of video games, which cost 43 each (imagine she got fortnite mod's. ew) so we put that in an equation-
$1,128 - $72 = $1,056
$1,056 divided by 43 equals 24.55813953488372.
when dealing with money, you always round down, so the total number of games she bought was 24
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Which of the following conditions must be met in order to make a statistical inference about a population based on a sample if the sample does not come from a normally distributed population?
Solve the following equation: 2x - 3 = 17.
a. 5
b. 7
c. 10
d. 12
Which of the following recursive formulas represents the same geometric sequence as the formula an = 3 * 3n - 1?
A.an = 9 * an - 1
B.an = 3 * an - 1
C.an = 9 + an - 1
D.an = 3 + an - 1
The recursive formula that represents the same geometric sequence as [tex]\( a_n = 3 \times 3^{n-1} \)[/tex] is option B: [tex]\( a_n = 3 \times a_{n-1} \).[/tex]
To find the recursive formula that represents the same geometric sequence as [tex]\( a_n = 3 \times 3^{n-1} \)[/tex], we need to find a recursive formula that generates the same sequence.
The formula [tex]\( a_n = 3 \times 3^{n-1} \)[/tex] can be rewritten as:
[tex]\[ a_n = 3 \times 3^{n-1} = 3 \times 3^n \times 3^{-1} = 3 \times \left(3 \times 3^{n-1}\right) \][/tex]
This indicates that each term is 3 times the previous term. So, the recursive formula should involve multiplying the previous term by 3.
Let's examine the options:
A. [tex]\( a_n = 9 \times a_{n-1} \)[/tex] - This represents multiplying the previous term by 9, not 3.
B. [tex]\( a_n = 3 \times a_{n-1} \)[/tex] - This represents multiplying the previous term by 3, which matches the original sequence.
C. [tex]\( a_n = 9 + a_{n-1} \)[/tex] - This represents adding 9 to the previous term, not multiplying it.
D. [tex]\( a_n = 3 + a_{n-1} \)[/tex] - This represents adding 3 to the previous term, not multiplying it.
Therefore, the recursive formula that represents the same geometric sequence as [tex]\( a_n = 3 \times 3^{n-1} \)[/tex] is option B: [tex]\( a_n = 3 \times a_{n-1} \).[/tex]
Estimate 24% of 33.
a) 17
b) 12
c) 2
d) 8
10m - p = -n for m please help, I need help
1. A local pizzeria sold 65 pizzas yesterday.
(a) The owner offers the employees a bonus if the number of pizzas sold increases by 20% today. How many pizzas must the pizzeria sell for employees to receive the bonus? Explain your reasoning.
(b) Suppose the actual number of pizzas sold today was 60. Describe the number of pizzas sold as a percent increase or decrease, rounded to the nearest hundredth. Show your work.
Answer: 1) Pizzeria must sell 78 pizzas for receiving the bonus.
2) The number of pizzas sold is decreased by Approximately 7.69 %.
Step-by-step explanation:
1) The number of pizza sold yesterday = 65,
The target for receiving the bonus = 20% more than the number of pizza sold yesterday
= 20% more than 65,
= 65 + 20% of 65 ( 1% = 0.01 ⇒ 20% = 0.2 )
= 65 + 0.2 × 65
= 65 + 13 = 78.
Hence, they must sell 78 pizzas for receiving the bonus.
2) If the actual number of pizza sold today = 60
⇒ Total reduction in the number of pizza = 65 - 60
= 5
Thus, the percentage decrease in the number of pizza
[tex]=\frac{\text{Total reduction}}{\text{The number of pizza sold yesterday}}\times 100[/tex]
[tex]=\frac{5}{65}\times 100[/tex]
[tex]=\frac{500}{65}=7.69230769\approx 7.69\%[/tex]
Find the 9th term of the following geometric sequence: 1, –3, 9, –27. PLEASEEEEE HELP!!!!!!
A. –5,661
B. 7,241
C. –2,456
D. 6,561
Which one is the greater quantity 1/3 of a box of corn crinkles or 50% of a box of corn krinkles
Which of the following is an equivalent form of the compound inequality −22 > −5x − 7 ≥ −3?
−5x − 7 < −22 and −5x − 7 ≥ −3
−5x − 7 > −22 and −5x − 7 ≥ −3
−5x > −22 and −7 ≥ −3
−5x − 7 < −22 and −5x − 7 ≤ −3
10 with a small 6 on top is