Select the equation which represents the graph.
Question 1 options:
A: y − 3 = 3/2(x − 4)
B: y − 3 = 2/3(x − 4)
C: y − 3 =− 2/3(x − 4)
D: y − 3 = −3/2(x − 4)
Answer:
B. [tex] y - 3 = \frac{2}{3}(x - 4) [/tex]
Step-by-step explanation:
We can create an equation to represent the graph in point-slope form, given as [tex] y - y_1 = m(x - x_1) [/tex], by using a point (x1, y1) on the line, (4, 3) and the slope (m) of the line.
Let's find slope using the two points (4, 3) and (-2, -1).
[tex] slope (m) = \frac{y_2 - y_1}{x_2 -x_1} = \frac{-1 - 3}{-2 - 4} = \frac{-4}{-6} = \frac{2}{3} [/tex]
Substitute m = ⅔, x1 = 4, and y1 = 3 in [tex] y - y_1 = m(x - x_1) [/tex].
The equation that represents the graph would be:
✅[tex] y - 3 = \frac{2}{3}(x - 4) [/tex],
A sketch of y= ax² + bx + c is shown
Answer:
Positive, Negative, One negative and one positive
Step-by-step explanation:
a refers to whether the parabola opens upwards/downwards
c refers to y-inercept
solutions to the curve is dependent on the x intercepts
This question demands knowledge on quadratic graphs. If you would like to venture further, you can check out my Instagram page (learntionary). I posts math tips and notes. Thanks!
The true statements are:
(a) is positive(c) is negativeone negative and one positive.The equation is given as:
[tex]\mathbf{y =ax^2 + bx + c}[/tex]
The graph is an illustration of a parabola.
When a parabola opens up, then the value of (a) is positive
c represents the y-intercept i.e. the point where the graph crosses the y-axis.
From the sketch, the graph cross the y-axis below the origin.
So, the value of (c) is negative
The graph crosses the x-axis, at either sides of the origin.
So, the solutions are one negative and one positive.
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Which choices are equivalent to the quotient below? Check all that apply square root 75/15
Answers & Explanations:
The answer to A. is incorrect.
The answer to B. is correct.
The answer to C. is incorrect.
The answer to D. is incorrect.
The answer to E. is correct.
The answer to F. is correct.
hope this helps :)
The expression √(75/15) is equivalent to √(15/3), √5, and √(25/5). Then the correct options are B, E, and F.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
The expression is given below.
⇒ √(75/15)
Simplify the expression, we have
⇒ √(15/3)
⇒ √5
Or √(25/5)
Then the correct options are B, E, and F.
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triangle ABC and DEF are similar what is the length of segment DF?
Answer:
Proportionate to whatever length the corresponding segment for the similar triangle.
There are 89 students in the Oakwood Middle School band. The number of boys in the band is 5 more than twice the number of girls. What is the number of boys in the band
Answer:
61 boys
Step-by-step explanation:
x=girls
2x+5+x=89
3x+5=89
3x=84
x=28
28 x 2 = 56
56+5=61
The number of boys in the band will be 61.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that there are 89 students in the Oakwood Middle School band. The number of boys in the band is 5 more than twice the number of girls.
The equation can be formed as below,
2x+5+x=89
3x+5=89
3x=84
x=28
The number of boys will be,
B = 2x + 5
B = 28 x 2 + 5
B = 56+5=61
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A cookie recipe calls for 3 eggs
and makes 48 cookies. About
how many eggs would you need
to make 216 cookies?
Answer:
You would need about 13 eggs.
Step-by-step explanation:
216 cookies would be taking the original recipe and making 4 and a half batches. So we multiply 3 by 4.5 to get 13.5.
10. +
10. LCM and GCF
Sweet Charlotte has 24 pounds of popcorn, 36 pounds of fudge,
and 144 pounds of lollipops. They will ship out boxes that
contain all 3 items. Each box will have the same amount of
popcorn, fudge, and lollipops. What is the max number of boxes
they can ship out?
A 2 boxes B. 4 boxes C 12 boxes D. 24 boxes
A
B
Answer:
12 boxes or C.
Step-by-step explanation:
Max = divide.
GCF=12.
LCM = 144.
Difference:
144/12 or 12.
So 12 boxes
Hope this helps :D
the compound interest formula a=p(1+r/n)^nt where p is the initial amount invested, r is the interest as a decimal, n is the number of times compound annually, the the number of years. Determine the value of the account if the initial investment is $8,000 compounded monthly at a rate of 6% after 10 years.
Answer:
Option (D)
Step-by-step explanation:
Formula to calculate the final amount after 't' years is,
A = [tex]P(1+\frac{r}{n})^{nt}[/tex]
Here P = Initial amount
r = rate of interest
n = number of times compounding done
t = duration of investment
For A = $8000
r = 0.06
t = 10 years
n = 12 (compounded monthly in a year)
Therefore, final amount = [tex]8000(1+\frac{0.06}{12})^{12\times 10}[/tex]
= [tex]8000(1+0.005)^{120}[/tex]
= [tex]8000(1.005)^{120}[/tex]
= 8000(1.8194)
= $14555.17
Therefore, Option (D) will be the answer.
Answer:
the answer is d
Step-by-step explanation:
$14,555.17
Please I'm so bad at math-
And explain it to me so I understand it next time. :)
Answer:
i dont even know chife
Step-by-step explanation:
Write the equation of the line that passes through the points (-8,6) and (9,-8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Why does it make sense to describe an equation that has infinitely many solutions as an identity?
Because for any value of the variable, the equation is true and it follows that there are infinitely many solutions ( values ) that satisfy the equation.
What is infinite solution of any variable?
In any equations, any value for the variable makes the equation true or we can say that an equation has infinitely many solutions if you try to solve the equation and get a variable or a number equal to itself.
Now,
For any value of the variable, the equation is true and it follows that there are infinitely many solutions ( values ) that satisfy the equation.
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Which expressions are equivalent to the expression 4a – 6b + 3c?
a + 3(a − 2b + 3c)
4a + 3(2b + c)
2(2a − 3b + c) + c
2(2a − 3b) + 3c
Answer:
Third one: 2(2a-3b+c)+c
Step-by-step explanation:
Hope this helped:)
Express log(2)A in terms of the 2 logarithms of prime numbers:
A= √3 * (4th root)(125)) / 7^3
Answer:
3
√
125
=
3
√
5
3
=
5
Step-by-step explanation:
Answer:
1/4 log2 1125 - 3 log2 7Step-by-step explanation:
A= √3 * (4th root)(125)) / 7^3 =(4th root) (9*125) / 7^3 =(4th root) (1125) / 7^3Finding logarithm
log2 A = log2 (4th root) (9*125) / 7^3 = 1/4 log2 1125 - 3 log2 7Please PLS PLS PLS PLS Answer ASAP This Is due in a few min and its a test PLEASE will give brainliest if right!! :)
Answer:
-13
Step-by-step explanation:
Is -59+8 positive or negative
Answer:
Negative
Step-by-step explanation:
It's negative because there are 59 negatives and 8 positives. Since there are more negatives the sum is negative.
-59+8 = -51
Hope this helps ya!
Is this a function?
[tex]y= -3x^{2} +10[/tex]
= Find the slope of a line that goes through the (-3,2) and (1,5)
PLz helpp Im confused on this
Answer:
-2/3 (fraction)
Step-by-step explanation:
Answer:
The slope is [tex]\frac{3}{4}[/tex].
Step-by-step explanation:
[tex]m=\frac{rise}{run}=\frac{5-2}{1+3}=\frac{3}{4}[/tex]
Hope this helps.
For which values of x is the expression undefined?
x2 – 49
x2 – 16
You meant to say x^2 - 49 and the second binomial is x^2 - 16.
x^2 - 49 = (x - 7) (x + 7).
Set each factor to 0 and solve for x individually.
x - 7 = 0
x = 7
x + 7 = 0
x = -7
Do the same for x^2 - 16.
Here is the set up:
x^2 - 16 = (x - 4) (x + 4).
Take it from here.
what is the fraction of 23%
Answer:
23/100
Step-by-step explanation:
is this what u mean?
Answer: is 23/100
im rite
on
ma
mama
heeeeeeeeeeeeeeeeeeeeeelp
Answer:
-2
Step-by-step explanation:
Franco and Marcia getting high speed Internet access at the same time. Francos provider charges $60 for installation and $42.95 per month. Marshals provider has free installation and charges $57.95 per month. After how many months will Franco and Marsha have paid the same amount for high-speed Internet service?
Answer:
4 months
Step-by-step explanation:
Franco's provider = 60 + 42.95x
Marshal's provider = 57.95x
Where,
x = number of months
Equate both charges
Franco's provider = Marshal's provider
60 + 42.95x = 57.95x
Subtract 42.95x From both sides
60 + 42.95x - 42.95x = 57.95x - 42.95x
60 = 15x
Divide both sides by 15
60 / 15 = 15x / 15
4 = x
x = 4 Months
Franco and Marshal would have paid the same amount for high-speed Internet service after 4 months
The area width is 9ft the total is 27ft
Answer:
3ft
Step-by-step explanation:
because 9 times 3 equal 27
Solve the following equations using the partial quotients strategy.
1. 8,397 ÷ 27 = __________ 2. 9,396 ÷ 18 = __________ 3. 8,442 ÷ 14 = __________
Answer:
1. 8,397 ÷ 27 =311
2. 9,396 ÷ 18 =522
3. 8,442 ÷ 14 =603
Step-by-step explanation:
Is (-1, -4) a solution to a equation y=6x_ -2?
PLEAS HELPPPPP NOWW!!!!!!Liz's resting heart rate is 64 beats per minute. During a recent workout, she measured her heart rate to be 112 beats per minute. By what percentage did her heart rate increase during her workout?
Answer:
75%
Do you need the work
what's the slope of
(4,5) & (-1,-5)
helppppp
Answer:
the slope is 2 :)
Step-by-step explanation:
Answer:
it's 2
Step-by-step explanation:
i need the answer asap please hurry i give you 5 stars
Explain in detail how would you plot the points –1, 5, –2.5, –3, and 2 on the number line. What is the order of the numbers?
i rlly need help!!!!!!!
The Earth is approximately a sphere of
diameter 12742 km. The surface area
of a sphere is given by the formula A =
4π r2 Calculate the surface area of the
Earth. Give your answer in metres
squared and in standard form.
Answer:
2
Step-by-step explanation:
In the last three years, Frederico’s basketball team won 30 more games than they lost. If they won 130 games, what was the ratio of wins to losses?
Answer:
130 to 100
Step-by-step explanation:
Answer: 130 to 100
Step-by-step explanation: