What is -3/4 + 2 3/4
Use a quick picture to model 0.62 -0.18. Then write in your answer.
Answer:
0.44
Step-by-step explanation:
Subtraction is just like addition. How much do you need to make 0.18 0.62? then you have your answer. This is just a strategy.
A line with a slope of 3 passes through (2,5). Which choice is an equation of this line?
Answer:
y=3x-4
Step-by-step explanation:
a slope of 3 means that the equation will definitely start like this
y=3x +/- b
to find b, substitute the coordinates given, so
5=3 x 3 +/- b
5=9 +/- b
5-9=b
-4=b
so the equation would be
y=3x-4
A 120-foot-long rope is cut into 3 pieces. The first piece of rope is twice as long as the 2nd piece of rope. The 3rd piece of rope is three times as long as the second piece of rope. What is the length of the longest piece of rope?
Answer:
60 ft
Step-by-step explanation:
120 = x + 2x + 3x
120 = 6x
x = 20
Which of the following is a vertical stretch of the
parent function f(x)=x^2
y=4x^2
y=1/4+x^2
y=(1/4x)^2
y = x^2-4
The expression "[tex]y = 4x^2[/tex]" is a vertical stretch of the parent function f(x) = [tex]x^2[/tex].
What is the functions?
Functions are mathematical relations that describe the relationship between inputs (often called "input values" or "arguments") and outputs (often called "function values" or "results").
The vertical stretch of the parent function f(x) =[tex]x^2 \\[/tex] can be identified by the coefficient multiplied with the squared term.
Among the given options:
y = [tex]4x^2[/tex] - This is a vertical stretch of the parent function f(x) = [tex]x^2[/tex] by a factor of 4, which means the graph of the function is stretched vertically by a factor of 4.y =[tex]1/4 + x^2[/tex] - This is a vertical shift and addition of a constant to the parent function f(x) = [tex]x^2,[/tex] but not a vertical stretch.y = [tex](1/4x)^2[/tex] - This is not a vertical stretch of the parent function f(x) = [tex]x^2[/tex]. It involves a reciprocal and squaring operation on x, but not a vertical stretch.y = [tex]x^2 - 4[/tex] - This is a vertical shift and subtraction of a constant from the parent function f(x) = [tex]x^2[/tex], but not a vertical stretch.Hence, the correct option that represents a vertical stretch of the parent function f(x) =[tex]x^2[/tex] is y = [tex]4x^2[/tex] (Option 1).
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Two people enter a whispering gallery and want to know where they should stand so they can hear the other person's whisper. The gallery is 100 feet wide and the vertical distance from their head to the peak of the ceiling is 30 ft.
Answer:
The two people should stand 40 feet from the center so that they can hear each other whisper
Step-by-step explanation:
From the question
Width of the gallery = 100 feet
Width = 2a
a = Width/2
a = 100/2 = 50 feet
Height of the gallery = b = 30 feet
Hence, the distance is
d² = a² - b²
d = √a² - b²
d = √50² - 30²
d = √2500 - 900
d = √1600
d = 40 feet
Hence, the two people should stand 40 feet from the center so that they can hear each other whisper.
In ΔABC, m ∠ A = ( 3 x + 1 ) ∘ m∠A=(3x+1) ∘ , m ∠ B = ( x + 14 ) ∘ m∠B=(x+14) ∘ , and m ∠ C = ( 4 x + 5 ) ∘ m∠C=(4x+5) ∘ . What is the value of x ? x?
Answer:
x = 20
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180
3x + 1 + x + 14 + 4x + 5 = 180, that is
8x + 20 = 180 ( subtract 20 from both sides )
8x = 160 ( divide both sides by 8 )
x = 20
1. 9x - 2 + 7 - X
Terms
Like Terms
Answer:
Hi I can help!!
Step-by-step explanation:
1. Collect like terms.
9x-X+(-2+7)9x−X+(−2+7)
2. Simplify.
9x-X+59x−X+5
3. Get the final answer 8x-9
if xy=5 and x square +y square =25 ,then (x+y)square
Answer:
(x + y)² = 35
Step-by-step explanation:
The expansion of
(x + y)² = x² + 2xy + y²
= x² + y² + 2xy ← substitute given values
= 25 + 2(5)
= 25 + 10
= 35
Answer:
35
Step-by-step explanation:
[tex]xy = 5 \\ \\ {x}^{2} + {y}^{2} = 25 \\ \\ \because \: {(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy\\ \\ \therefore {(x + y)}^{2} = 25 + 2 \times 5 \\ \\ \therefore {(x + y)}^{2} = 25 + 10 \\ \\ \huge \red{ \boxed{\therefore {(x + y)}^{2} = 35}}[/tex]
Which ratio is less than 7/15
A. 9/15
B. 2/5
C. 3/5
D. 24/45
Answer:
B
Step-by-step explanation:
2/5 + 2/5 +2/5 = 6/15 < 7/15
Pls answer this geometry question 100% smart people struggle
Answer:
This is how you do it. Find the radius of it. There is ur answer
Step-by-step explanation:
write an equation in slope intercept form that passes through the points (-4,3) and (0,2)
Answer:
[tex]y = -\frac{1}{4}x +2[/tex]
Step-by-step explanation:
Slope-intercept form: y = mx + b
Slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]
Given points: (-4, 3), (0, 2)
(0, 2) = (x1, y1)
(-4, 3) = (x2, y2)
To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.
First, let's find the slope. To do this, input the given points into the formula used to find slope:
[tex]\frac{3-2}{-4-0}[/tex]
Simplify:
3 - 2 = 1
-4 - 0 = -4
[tex]\frac{1}{-4}= -\frac{1}{4}[/tex]
The slope is [tex]-\frac{1}{4}[/tex].
To find the y-intercept, input the slope and one of the given points(in this example I'll use point (0, 2)) into the equation and solve for b:
[tex]2 = -\frac{1}{4} (0)+b[/tex]
2 = 0 + b
2 = b
The y-intercept is 2.
Now that we know the slope and the y-intercept, we can write the equation:
[tex]y = -\frac{1}{4}x +2[/tex]
Name the type of factoring (DoPS, GCF, Trinomials, factoring by parts, factoring with a leading coefficient)
Answer:
1) (x - 9)(x + 2) ==> trinomials
2) (s + z) (3m - 2n) ==> factorising by parts
3) (x + 2)(5x + 3) ==> factorising with a leading coefficient
4) 9y²(3y² - 2) ==> GCF
5) (4m - 12)(4m + 12) ==> DoPS
Step-by-step explanation:
1). Find multiples of -18 that add up to -7
Multiples of -18 : (only one number can be negative, because positive*negative = negative)
1, 18 or 3, 6 or 2, 9
Only one pair adds up to -7 which is -9 + 2
Hence ==> (x - 9)(x + 2)
2). Find the common things between the terms and factorise it out
3m(s + z) - 2n(s + z)
Since the terms inside the brackets are the same, you simplify it to:
(s + z) (3m - 2n)
3). Multiply the first coefficient with the last coefficient: 5(6) = 30
Find two numbers that multiply to 30 and add up to the middle coefficient -13.
Multiples of 30 are: 1, 30 or 2, 15 or 3, 10 or 5,6, but only one pair would add to -13 and that is 3 and 10
So the next step is to write it in this form: 5x² + 10x + 3x + 6
Factorise: 5x(x + 2) + 3(x + 2)
(x + 2)(5x + 3)
4). Find the greatest common factor within 27y⁴ and 18y², which is 9y²
9y²(3y² - 2)
5). Square root each number: √16 = 4 and √144 = 12
(4m - 12)(4m + 12)
Can someone solve this for me
Answer:
A is correct pls give likes and brainliest (I actually checked the work sheet for answer key)
Find 25% less than 56
Answer:the answer is 31
Step-by-step explanation:
We are looking for a new number which is 25 less than 56.
We will get the new number by subtracting 25 from 56.
We write it down as:
56-25=31
And finally the solution for: What number is 25 less than 56?
is 31
line a has a slope of -4/3 and line b has a slope of -3/4 are both lines perpendicular.
Answer:
No they are not perpendicular.
Step-by-step explanation:
No they are not because they are both line b is still negative.
In order for them to be perpendicular is if the slopes were like this....
-4/3x and 3/4x
or
4/3x and -3/4x
They have to be complete opposites.
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For a 4-unit class like Statistics, students should spend average of 12 hours studying for the class. A survey
was done on 23 students, and the distribution of total study hours per week is bell-shaped with a mean of
14 hours and a standard deviation of 2.9 hours.
Use the Empirical Rule to answer the following questions.
a) 68% of the students spend between
hours and
hours on Statistics each week.
b) 95% of the students spend between
hours and
hours on Statistics each week.
C) 99.7% of the students spend between
hours and
hours on Statistics each week.
Question Help: Message instructor
Submit Question
does anyone know the answerrr ?
Answer:
120
Step-by-step explanation:
Help Please! A runner saved $25 when he purchased a pair of tennis shoes on sale. If the sale price was 35% off the regular price, what was the regular price of the tennis shoes?
F $71.43 G $60.00 H $51.23 J $8.75
Answer:
Option F: $71.43 is the correct answer.
Step-by-step explanation:
By the question we can observe that 35% of regular price is $25 so this information will be used to calculate the original price of the shoes.
Let
P be the price of shoes
and d be the discount
So
[tex]d = \$25\\P=?[/tex]
The discount is 35% of P so
[tex]d = 35\%\ of\ P\\25 = 0.35 * P\\P = \frac{25}{0.35}\\P = 71.42857...[/tex]
Rounding off to the nearest hundredth
The regular price is: $17.43
Hence, option F: $71.43 is the correct answer.
You are baking a cake, and the recipe calls for 3/8 of a cup of flour and 1/2 of a cup of sugar. What is the total amount of flour and sugar, as a reduced fraction?
Answer:
[tex]\frac{7}{8}[/tex]
Step-by-step explanation:
To find the total amount of flour and sugar, you have to find a common denominator for the two fractions and then add them together.
[tex]\frac{1}{2}[/tex] multiplied by 4 equals [tex]\frac{4}{8}[/tex].
Now that the fractions both have a common denominator of 8, we can add them together:
[tex]\frac{3}{8}[/tex] + [tex]\frac{4}{8}[/tex] = [tex]\frac{7}{8}[/tex]
The total amount of flour and sugar is [tex]\frac{7}{8}[/tex]
Hope this helps :)
Answer:
7/8
Step-by-step explanation:
If 3x−y=12, what is the value of 8^x/2^y?
Answer:
3x + 3x + 3x = 3x . but as 1 x + 1x equals 7/8, but 7 x 4 - 3 x 6 = 100002.0389487384, where as dim + dim = ddiimm
Step-by-step explanation:
Solve for x:3x+4=9x+3
Answer:
Step-by-step explanation:
3x+4=9x+3 subtract 3 each side
3x+1=9x subtract 3x
1=6x divide by 6
x= 1/6
What are the angle names given in the picture?
Plzzzz anyone answer I post question but no one answers them but plz anyone answer this time it’s a project and it’s due date is today plz helppp
Answer:
tbh there are quite a lot of possibilities
I'll just name the properties but not show which angle applies to it cos that's too time consuming
Step-by-step explanation:
vertically opposite angles
interior / exterior alternate angles
corresponding angles
angles on a straight line are supplementary
1/2(6x - 3) - X=2x 1
Answer: X= -3 = 2
Step-by-step explanation:
Which of the following is a rational number?
Answer:
B.)
Step-by-step explanation:
A rational number is a number with no repeating decimals or decimals that go on “forever” like pi. An expample of a rational number is 2 where 2.3333333... is not a rational number. Pi isn’t a rational number either since forth there is no known end to that.
So, when solved:
A.) = 1.58113883... (irrational)
B.) = -8 (rational)
C.) = 8.94427191... (irrational)
D.) = 3.794733192... (irrational)
I hope you see the pattern. Hope this helps!
The temperature in Alaska dropped –50.16°C in 5.7 hours. How much did the temperature drop per hour?
Answer:
-8.8
Step-by-step explanation:
hope this helps!! :)
what is the solution for 2x-5=7
Answer:
x = 12
Step-by-step explanation:
Answer:
x=6
Step-by-step explanation:
1. Add 5 to both sides.
2x = 7 + 5
2. Simplify 7+5 to 12.
2x = 12
3. Divide both sides by 22.
x = 12/2
4. Simplify 12/2 to 6
x = 6
NEED HELP ASAP ! answers !
Answer:
92 degrees
Step-by-step explanation:
slope for (1,-1) (-1,-2)
lol sorry
Answer:
m = 1/2
Step-by-step explanation:
Slope(m) = (y-y1)/(x-x1)
= (-1 - (-2))/(1 - (-1))
= (-1+2)/(1+1)
= 1/2
PLEASE HELP ASAP!
Given f(x)= -9x^2 - x - 7 and g(x)= 8x² + 3x – 3, find (f-g)(x).
