Answer:
vertex: (1, –8)
Step-by-step explanation:
[tex]a=3 \\b=-6\\c=-5[/tex]
rewrite equation in vertex form: [tex]y=a(x-h)^2+k[/tex]
1. factor out 3
[tex]y=3x^{2} -6x-5\\y=3(x^{2}-2x)-5\\[/tex]
2. complete the square using [tex](\frac{b}{2} )^{2}[/tex]:
[tex](\frac{-2}{2})^2=1[/tex]
3. add the answer from step 2 to inside the parenthesis to create a factorable trinomial. subtract the answer from step 2 from –5 and multiply it by a. remember: a = 3
[tex]y=3(x^{2} -2x+1)-5-1(3)\\y=3(x-1)(x-1)-8\\y=3(x-1)^2-8[/tex]
4. find vertex
[tex]x-1=0\\x=1[/tex] [tex]y=-8[/tex]
vertex = [tex](1,-8)[/tex]
Đa thức P= 4x^2 -12x+9
Answer:
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hcucickkciffiiiiifiyffyysuatyyggHZZ£;YYYYYRRtrTyY56644%55646776-755522#3435%5$$4
Light bulbs cost £3.40 each.
Yasmin buys as many as she can with £30.
How much change should she get?
Give your answer in pounds, £.
======================================================
Work Shown:
x = number of light bulbs
3.40x = total cost to buy x light bulbs, cost is in pounds
3.40x = 30
x = 30/(3.40)
x = 8.823529 approximately
Rounding down, we get 8
Note that,
3.40*8 = 27.20 pounds which is under budget3.40*9 = 30.60 pounds which is over budgetTherefore, the highest number of bulbs that can be bought is 8.
The change given will be 30-27.20 = 2.80 pounds
Tell whether the fraction is in the simplest form. Write yes or no
(Please answer all of them in order!!)
4 over 10
2 over 8
3 over 5
4 over 12
6 over 10
3 over 6
Answer: 4/10 = 2/5
2/8 = 1/4
3/5 = 3/5
4/12 = 1/3
6/10 = 3/5
3/6 = 1/2
Step-by-step explanation:
4/10 = 2/5
4/10 is not in its simplest form.
Both 4 and 10 can be divided by 2.
Therefore, 4/10 = 2/5
2/8 = 1/4
2/8 is not in its simplest form
2 / 2 = 1
8 / 2 = 4
Both 2 and 8 can be divided by 2, therefore, 2/8 = 1/4
3/5 = 3/5
3/5 is in its simplest form
3 and 5 are prime, so they don’t have any factors other than 1 and itself so they wouldn’t be able to be simplified.
4/12 = 1/3
4/12 is not in its simplest form
4 / 4 = 1
12 / 4 = 3
4 and 12 can be divided by 4, resulting in 1 and 3. Therefore, 4/12 = 1/3.
6/10 = 3/5
6/10 is not in its simplest form
6 / 2 = 3
10 / 2 = 5
6 and 10 can both be divided by 2, resulting in 3/5. Therefore, 6/10 = 3/5
3/6 = 1/2
3/6 is not in its simplest form
3 / 3 = 1
6 / 3 = 2
Both 3 and 6 can be divided by 3, resulting in 1/2
Therefore, 3/6 = 1/2
Short Answers:
4/10 = 2/5
2/8 = 1/4
3/5 = 3/5
4/12 = 1/3
6/10 = 3/5
3/6 = 1/2
please help me with this
Answer:
42.5 square units
Step-by-step explanation:
To solve, we can split this shape up into 4 known shapes:
2 unit by 2 unit triangle
2 unit by 2 unit square
2 unit by 5 unit triangle
3.5 unit by 9.0 unit rectangle
Now let's solve these areas:
2 x 2 = 4 / 2 = 2
2 x 2 = 4
2 x 5 = 10 / 2 = 5
3.5 x 9.0 = 31.5
Then add all these values together:
2 + 4 + 5 + 31.5 = 42.5
pls help this is so harddd for meee
Answer:
B
Step-by-step explanation:
Tell me if im right
:)
B because its on the y axis and thats what there asking for and its positive
What is the slope of the line passing through the points (-3, 4) and (2, - 1)? A -1
B 1
C 3/5
D - 5/3
Answer:
A
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 4 ) and (x₂, y₂ ) = (2, - 1 )
m = [tex]\frac{-1-4}{2-(-3)}[/tex] = [tex]\frac{-5}{2+3}[/tex] = [tex]\frac{-5}{5}[/tex] = - 1 → A
Express the ratio as a fraction in simplest form. 10 yards to 10 feet
Answer:
The ratio is 3:1
Step-by-step explanation:
[tex]\frac{10 yards}{10 feet}[/tex]
We know, 1 yard is equal to 3 feet
So, [tex]\frac{10 yards X 3}{10 feet}[/tex] is equal to [tex]\frac{30 feet}{10 feet}[/tex] is equal to 3:1
If you find this solution helpful, please mark brainliest
Identify the type of function explain
Step-by-step explanation:
it is a quadratic function
it is because it satisfies the equation f(x)= -3-5x+4x^2
Finf all the pairs of numbers that have a HCF of 30 and an LCM of 3150.
Answer:
Pair are
30 , 3150
90, 1050
150, 630
210 , 450
Step-by-step explanation:
Let the numbers be a and b
a = 30x and b=30y
HCF of a and b = 30
Product of numbers = LCM * HCF
30x * 30y = 30 * 3150
30xy = 3150
xy = 3150/30 = 105
1*105 or 3* 35 or 5 * 21 or 7 * 15
1) 105 = 1*105
30xy =30*1 , 30*105 = (30 , 3150)
2) 105 = 3 * 35
30xy = 30*3 , 30*35 = 90 , 1050
90 , 1050
3) 150 , 630
4) 210 , 450
Evaluate:
bx(b – X) – b if b=5 and x = 3
Last year a popular app was downloaded 2.47 x 10 to the 8th power write the number of time the app was downloaded in standard form.
Answer:
247,000,000 times
Step-by-step explanation:
Joseph owes his mother $12.25. He borrows $6.50 more from his mother. Which of the following best represents Joseph's debt to his mother?
Answer:
18.75.
Step-by-step explanation:
If he already owes his mother 12.25 and borrows 6.50, we can add those numbers up to get the total amount of how much he owes his mother.
12.25 + 6.50 = 18.75
Therefore, Joseph's debt to his mother can be represented using the equation above.
Write an equation in slope intercept form for the line perpendicular to y = 2x - 3 that passes through the point (-3, -3)
Answer:
y=-1/2x-9/2
Step-by-step explanation:
check picture
The equation of the line perpendicular to y = 2x - 3 that passes through the point (-3, -3) is y = (-1/2)x - 9/2 in slope-intercept form.
To find the equation of a line perpendicular to y = 2x - 3, we need to determine the slope of the original line and then find the negative reciprocal of that slope.
The original line has a slope of 2. The negative reciprocal of 2 is -1/2.
Now, we have the slope (-1/2) and the point (-3, -3) that the perpendicular line passes through.
We can use the point-slope form of a linear equation to write the equation of the line:
y - y1 = m(x - x1)
Substituting the values:
y - (-3) = (-1/2)(x - (-3))
y + 3 = (-1/2)(x + 3)
Expanding and simplifying:
y + 3 = (-1/2)x - 3/2
y = (-1/2)x - 3/2 - 3
y = (-1/2)x - 3/2 - 6/2
y = (-1/2)x - 9/2
Therefore, the equation of the line perpendicular to y = 2x - 3 that passes through the point (-3, -3) is y = (-1/2)x - 9/2 in slope-intercept form.
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19(x) = -x – 3, solve for a when g(x) = 6.
solve for x
Answer:
x=[tex]-\frac{9}{19}[/tex]
Step-by-step explanation:
triangle xyz is similar to abc,enter the missing side length.
First, find the scale factor:
8/4.6 ≈ 1.73913043478
12/1.73913043478 = 6.9
6.9If triangle XYZ is similar to ABC then the length of the missing side is 6.90. It is obtained by using the scale factor concept.
What is the triangle?In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
It is given that ΔXYZ ≅ ΔABC.
Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.
When two triangles are similar their scale factor is the same for each side,
The scale factor is obtained by taking the ratio of their sides,
= AC / XZ
= 8 / 4.6
= 1.739
The length of side XY is found as,
Scale factor = AB / XY
1.739 = 12 / XY
XY = 6.90
Thus, if triangle XYZ is similar to ABC then the length of the missing side is 6.90. It is obtained by using the scale factor concept.
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Add. Write fractions in simplest form.
11/12+(-7/12)
Answer:
I think the answer is -1 1/2
The population of Florida was recently recorded as 20,612,439 people. Write an estimation in scientific notation for the population.
about __ people
Answer:
This program wants 20 characters so -- 2.06E7
Which value of y makes the equation 7.2 - y=6?
SELECT ONE:
y=43.2
y=1.2
y=0.2
y=13.2
Answer:
y=1.2
Step-by-step explanation:
7.2-1.2=6
The length of a square table is 1.25m. An ant walks around the edge of the table.How far does the ant walk?
Answer:
5m
Step-by-step explanation:
1.25m multiply by 4 sides equals 5m
The length of which ant walk will be the same as the perimeter of the square thus it will be 5 meters.
What is the perimeter?Perimeter is the addition of an external measure of sides it will always positive.
Perimeter of square = side + side + side + side
Given a table in form of a square,
Side of square = 1.25 m
The external measure of side = length of ant walk
1.25 + 1.25 + 1.25 +1.25 = Length of ant walkt
Length of ant walk = 5 meters.
Hence "The length of which ant walk will be the same as the perimeter of the square thus it will be 5 meters".
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a sum of money is divided among ethan June way and Raj in the ratio of 5:6:9 after eating gave $50 to his mother the ratio becomes 3:4:6 find the amount of money ethan has after giving $50 to his mother
Sort these fractions in ascending order.
A
7/9
B
2/7
C
4/5
D
5/6
ASAP PLZZZZZZ
Answer:
2/7<4/5<5/6<7/9
Step-by-step explanation:
The fractions in ascending order will be 2/7<7/9<4/5<5/6.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
The given number is,
7/9,2/7,4/5,5/6
The fraction with the smallest numerator is the smallest for fractions with the same denominator. Put the numbers 2/7,4/5,5/6,7/9. In ascending order, for instance. The fraction with the highest denominator is the smallest when all the fractions have the same numerator.
The LCM of the denominator 9,7,5 and 6 is 630.
The term equivalence for the denominator is,
490/630,180/630,504/630,525/630
The fractions in ascending order are,
180/630<490/630<504/630<525/630
2/7<7/9<4/5<5/6
Thus, the fractions in ascending order will be 2/7<7/9<4/5<5/6.
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1 2/3 ÷ 1/4
2 4/7 x 3/5
3 5/6 ÷ 1/2
4 8/9 x 5/6
5 3/4 ÷ 5/6
6 7/8 x 1/2
7 2/7 ÷ 5/6
Answer:
6.6
Step-by-step explanation:
Answer: 6
Step-by-step explanation:
What are the coordinates of Point A (-2,-6) after a rotation 270° Counter Clock-Wise?
Answer:
(2,-2) or (0,4)
Step-by-step explanation:
You are buying a new camera. The table shows the prices of cameras in a store
advertisement. You are willing to pay the mean price with an absolute deviation of at most
$102.
$890 $750
$650 $370
$660 $670
$450 $650
$725 $825
Your friend helped you with a list of steps to follow so you’ll find how many of the camera
prices meet your condition?
Step 1:
Find the mean of the given data.
(Search for: How to find the mean of a given data set?
$980 $670 Step-by-step explanation:
In the example function, could one side length ever
produce two different perimeters? Explain.
Answer:
no
Step-by-step explanation:
Someone please answer this?
Answer:
y = 2x + 5
Step-by-step explanation:
First, you must choose two ordered pairs from the table to solve for the slope (m):
Let (x1, y1) = (0, 5)
(x2, y2) = (1, 7)
Substitute the given values into the following slope formula:
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{7 - 5}{1 - 0} = \frac{2}{1} = 2[/tex]
Therefore, the slope (m) = 2.
The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates (0, b ). It is also the value of y when x = 0. Looking at the given table, (0, 5) reflects the description of the y-intercept. The y-intercept (b) is the y-coordinate of (0, 5).
Given the slope (m) = 2, and y-intercept (b) = 5, the linear equation is:
y = 2x + 5
Please mark my answers as the Brainliest if you find my explanations helpful :)
Slop is 2, y-intercept is (0,5) and equation is 2x+5
HELP Please Will give Brainliest to first correct answer
Answer:
choose B......B is the right answer
Answer:
B. -(x - 1)/5 + 13
Step-by-step explanation:
combine like terms: 9 - (x - 1)/5 + 4 --> - (x - 1)/5 + 4 + 9--> - (x - 1)/5 + 13
Use the polygon tool to draw a right triangle with hypotenuse AB?
Answer:
in the -1,-1
Step-by-step explanation:
Question 8 of 10
Solve 4x- c= k for x.
A. x= 4(k+ c)
B. x=k-c/4
C. x = 4(k-c)
D. x=k+c/4
SUBMIT
Answer:
D. x=k+c/4
because:
4x-c= k
4x=k+c
x=k+c/4
[tex]\sf HELP \: ME\:!!!![/tex]
[tex]\sf (-5x+1)(-2)[/tex]
Answer:
=>10x-2
Step-by-step explanation:
=>(-5x+1)(-2)
=>-2(-5x+1)
=>-2(-5x+1)
=>10x-2
Answer:
10x-2Step-by-step explanation:
(-5x+1)(-2)
-2×-5x-2
10x-2