Answer:
infinite number of solutions
Step-by-step explanation:
8x + 4 = 8x + 4
Since the expressions on both sides are the same then any value of x will make the equation true.
That is the equation has an infinite number of solutions
Round the quantity to th given place value 13.989 to the nearest tenth
Answer:
13.989 rounded to nearest tenth is 14.0.
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
round
Expand the function.
4
f(x)
=
(2x + 3)4
Answer:
16 x ^4 − 96 x^ 3 + 216 x ^2 − 216 x + 81
Step-by-step explanation:
Use the binomial expansion theorem to find each term. ∑
∑The binomial theorem states ( a + b ) n = n ∑ k = 0 n C k ⋅ ( a n − k b k ) . 4 ∑ k = 0 4 ! ( 4 − k ) ! k ! ⋅ ( 2 x ) 4 − k ⋅ ( − 3 ) k
Expand the summation. 4 ! ( 4 − 0 ) ! 0 ! ⋅ ( 2 x ) 4 − 0 ⋅ ( − 3 ) 0 + 4 ! ( 4 − 1 ) ! 1 ! ⋅ ( 2 x ) 4 − 1 ⋅ ( − 3 ) + 4 ! ( 4 − 2 ) ! 2 ! ⋅ ( 2 x ) 4 − 2 ⋅ ( − 3 ) 2 + 4 ! ( 4 − 3 ) ! 3 ! ⋅ ( 2 x ) 4 − 3 ⋅ ( − 3 ) 3 + 4 ! ( 4 − 4 ) ! 4 ! ⋅ ( 2 x ) 4 − 4 ⋅ ( − 3 ) 4
Simplify the exponents for each term of the expansion. 1 ⋅ ( 2 x ) 4 ⋅ ( − 3 ) 0 + 4 ⋅ ( 2 x ) 3 ⋅ ( − 3 ) + 6 ⋅ ( 2 x ) 2 ⋅ ( − 3 ) 2 + 4 ⋅ ( 2 x ) ⋅ ( − 3 ) 3 + 1 ⋅ ( 2 x ) 0 ⋅ ( − 3 ) 4
Simplify each term.
= 16 x ^4 − 96 x^ 3 + 216 x ^2 − 216 x + 81
Factor completely:
–abc –5ac –4ab –20a
Answer:
[tex]-a(b+5)(c+4)[/tex]
Step-by-step explanation:
[tex]-abc-5ac-4ab-20\\-a(bc+5c+4b+20)\\-a*c(b+5)+4(b+5)\\-a*(b+5)(c+4)[/tex]
The factor of the given expression is -a(b+5)(c+4)
What is factorization?Factorization in maths is the process of breaking down a number or a mathematical object into smaller or simpler factors that can be multiplied together to get the original number or object
Given is an expression, –abc –5ac –4ab –20a, we need to factor it completely,
-abc -5ac-4ab-20
- a(bc +5c+4b+20)
- ac(b+5)+4(b+5)
- a(b+5) (c+4)
Hence, the factor of the given expression is -a(b+5)(c+4)
Learn more about factorization, click;
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identify the types of each triangle
Answer:
Step-by-step explanation:
1. right angled (isosceles)
2. acute (equilateral or equiangular)
3. obtuse
5. acute
Answer:
Triangle number one is a right triangle. Triangle two is an equilateral triangle. Triangle three which is below triangle one is an obtuse triangle. The fourth triangle is an acute triangle.
Step-by-step explanation:
One is a right triangle because it has one right angle.
Two is an equilateral triangle because all of the three angles are 60 degrees.
Three is an obtuse triangle because one of the three angles is more than 90 degrees.
Finally, 4 is an acute triangle because all of the three angles are less than 90 degrees
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the inverse of the line provided on the graph.
Drawing Tools
Click on a tool to begin drawing.
The inverse function will have x intercept additive inverse of this.
Inverse of the line's interceptsx-intercept=-(-5)=5y intercept=1Now
equation of line in intercept form
[tex]\\ \sf\longmapsto \dfrac{x}{a}+\dfrac{y}{b}=1[/tex]
[tex]\\ \sf\longmapsto \dfrac{x}{5}+\dfrac{y}{1}=1[/tex]
[tex]\\ \sf\longmapsto \dfrac{x+5y}{5}=1[/tex]
[tex]\\ \sf\longmapsto x+5y=5[/tex]
Graph attached
The Graph of the inverse of the function is given below.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
From the given graph,
x intercept=-5
y intercept=1
The inverse function will have x intercept additive inverse of this.
The inverse of the line's intercepts
x-intercept = 1
y-intercept = -5
Now
equation of a line in intercept form
x/a + y/b = 1
x/1 +y/-5 = 1
5x - y = 5
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Write a proportion relating the side lengths of the triangle to any other triangle that has the line as a hypotenuse, a horizontal length of x units, and a vertical length of y units.
Answer:
y/x = 2 or y = 2xStep-by-step explanation:
The given triangle has:
Vertical segment = 2 unitsHorizontal segment = 1 unitThe ratio (slope) is:
2/1 = 2For any triangle using same line the proportion is:
y/x = 2 ory = 2xfind the proabilty of rolling factors of 5 on both sides.
Find the value of x 47 and 22
Answer:
111
Step-by-step explanation:
U calculate the 47°&22°and u cut 69° then u put 180-69=111°
elena gives following sequence of transformation to show that the two figures are similar by transforming ABCD into EFGD. dialte using center D reflect using the line AE is elenas method correct
Answer:
Elena is incorrect.
Step-by-step explanation:
In the first step, the figures are supposed to be about the same size. But the reflection over AE does not match them together. The correct line must be vertical and it has to go through point D.
If I'm correct, the scale copy should be 2.
∴/therefore, if it doesn't go through point D, Elena is incorrect.
Mark me brainliest if possible, it's always appreciated! ¯\_(ツ)_/¯
-❤AbqveNatural❤
1.) 5/11 = 2.) 6/8 = 3.) 8/13 = 4.) 4/9 = 5.)
p 7/15=
Answer:
1. 5/11 = five elevenths = 5:11
2. 6/8 = six eighths = 6:8
3. 8/13 = eight thirteenths = 8:13
4. 4/9 = four ninths = 4:9
5. 7/15 = seven fifteenths = 7/15
Step-by-step explanation:
1. To convert numerical fractions into word form, here are a few tips:
Write the numerator of the fraction spelled out exactly as it appears as a number (for example, if the numerator is 5, you spell out the word "five") Write the denominator of the fraction like you would write ranking for a contest (for example, if the denominator is 11, you write it as eleventh)2. To convert a fraction into colon form, here are a few tips:
Remember, fractions are ratios. Ratios can be written as x : y.The ratio compares the numerator to the denominator, having the numerator to the left side of the colon and the denominator on the right side. (For example, if the fraction is 6/8, the colon form is 6 : 8).A line passes through the points (4, 6) and (8, 7). What is its equation in point-slope form?
Hello there! :)
First, let’s find the slope.
We can find it using this formula:
m=y2-y1/x2-x1
m=7-6/8-4
m=1/4
So the slope is 1/4.
Now, we can use the point-slope formula:
y-y1=m(x-x1)
y-6=1/4(x-1/4)
Hope it helps. :)
~MagicalNature
The question is the img. Please answer both if u can
Problem 1
x = number of weeks
y = amount left on gift card (in dollars)
He starts with $100. Then each week he spends $4.99 which means we subtract 4.99x from the 100 mentioned. We form the expression 100 - 4.99x which is the same as -4.99x + 100
The equation y = -4.99x + 100 is in slope intercept form with m = -4.99 as our slope and b = 100 as the y intercept.
Answer: y = -4.99x + 100=======================================================
Problem 2
The y intercept is 100 because it's the starting amount. Mark the point (0,100) on the graph.
We need one more point to form a straight line. Let's say we picked something like x = 4 to plug into the equation found earlier
y = -4.99x + 100
y = -4.99*4 + 100
y = -19.96 + 100
y = 80.04
After x = 4 weeks, Mark has y = 80.04 dollars left on the card. We'll plot the point (4, 80.04). Then we connect those points with a straight line.
Check out the diagram below.The location of (4, 80.04) can be visually marked as (4,80) since it's close enough in my opinion.
Guided Practice
Write the equation of the parabola in vertex form. The vertex is (−3, 3) and the parabola passes through the point (4, 150). Create a rough sketch of the graph to use as a visual aid.
A.
y = 3(x + 3)^2 + 3
B.
y = 4(x − 3)^2 + 3
C.
y = 50(x + 3)^2 + 4
D.
y = 3(x − 3)^2 + 3
Answer:
A.
y = 3(x + 3)^2 + 3
Step-by-step explanation:
The vertex form of the equation is y=a(x-h)2 + k
You know that the vertex (h,k) is (-3,3) and a point on the parabola is (4,150). So what you’re needed ing to find is a bc all of the other letters can be replaced into the equation.
First I would put the equation into vertex form using the vertex given in the problem. : y= (x - (-3))2 + (3). Then I would use the ordered pair (4,150) and replace the x and y with those values
150 = a(4 + 3)2 + 3
Now simplify
150 = a (7)2 + 3
150 = 49a + 3 Important: please be sure to square.
147 = 49a
3= a
Next replace a into the formula now leaving x and y alone.
y = 3 (x+3)2 + 3 [Vertex form]
I hope this helps. Have a great day!
Answer:
A. [tex]y = 3(x + 3)^2 +3[/tex]
Step-by-step explanation:
The vertex form is:
[tex]y = a(x - h)^2 + k[/tex]
Where [tex]a[/tex] is the variable that determinate if the parabola is facing up or facing down and [tex]h[/tex] is the [tex]x[/tex] coordinate of the vertex and [tex]k[/tex] is the [tex]y[/tex] coordinate of the vertex.
So with the given values we have:
[tex]150 = a(4 + 3)^2 + 3[/tex]
Then isolate [tex]a[/tex] for find the missing value.
[tex]147 = a49\\\frac{147}{49} = a\\3 = a[/tex]
Then the final answer is [tex]y = 3(x + 3)^2 +3[/tex]
Jill has a pail of water that holds 612 quarts. She needs to give her plants 18 quart each. How many of her plants can she water?
Enter the correct answer in the box.
Answer:
34
Step-by-step explanation:
Answer:
34
Step-by-step explanation:
Because 612 quarts divided by 18 quarts for each plant is 34. So, it's 34 plants.
In an experiment, the temperature of a sample is measured as 16 degrees Celsius.
If the percent error is 0.75%, how can you report the temperature of the sample using the absolute error and the actual temperature value in degrees Celsius?
-16±0.12
-16±12
-16±0.047
-16±4.7
Answer: T=16 ± 0.12 ° CA Aw
Step-by-step explanation:
What did she do wrong? What can she do to prevent this?
Answer:
y = 8x + 14 (8x is WRONG)
This is how it is supposed to be
y - 2 = 6x + 12
y = 6x + 14
She must combine like terms, not unlike terms
2√8 -3√50+√32 AHIHIHI
Answer:
-9.89949493661
Step-by-step explanation:
resolve into factors : a^3 + 35b^3 + (a -b)^3
Step-by-step explanation:
a^3+35b^3+a^3-b^3
2a^3+34b^3
Answer:
2a^3 + 34b^3 - 3a^2b + 3ab^2
y=2x+3=
please help me i have test
[tex] \: \: \: \: \: [/tex]
[tex] = \: \: \: x = - \frac{3}{2 } \\ \\ [/tex]
hope it helpsrefer to attachment
[tex] \: \: \: \: \: [/tex]
What is the slope of the line that passes through the points (-2,-1) and (2, -3)?
Write your answer in simplest form.
-
The weight of a full steel bead tire is approximately 800 grams, while a lighter wheel weighs only 700 grams. What is the weight of each tire in pounds? There are 453.592 grams in one pound. Round answers to 2 decimal places.
800 grams = (How many?)
pounds
700 grams = (How many?)
pounds
Answer:
Here they are unrounded
800 grams = 1.7637
700 grams = 1.54324
Step-by-step explanation:
Hope this helps
A plane traveling to new york has 100 seats on board. if there are p passengers on the plane, which expression represents the number of empty seats there are on the plane
Hi math freindAnswer:
Step-by-step explanation:
Ged can fit six boxes each measuring 1
cubic metre (m') along the length of his
removals van. Two boxes fit across the
width and two boxes high. The
approximate total volume of boxes that will
fit in the van is
m3
Answer:
24 m3.
Step-by-step explanation:
6 * 2 * 2.
Can someone pls help me!
Ms. Failla decides that she wants to give a test on ratios and rates. The test consists of 18 questions. How much time must Mrs. Storz give to her students if she plans that the students can answer the questions at a rate of 3 questions in 7.5 minutes?
Answer:
Mrs. Storz must give 45 minutes
Step-by-step explanation:
Create a proportion:
t = total time given for all questions
[tex]\frac{3}{7.5} = \frac{18}{t}[/tex]
Cross multiply:
3t = 135
Divide both sides:
3t/3 = 135/3
t = 45
What’s the answer for both questions?
Answer:
id
Step-by-step explanation:
What is the greatest common factor of 50, 15, and 10?
Answer:
5
Step-by-step explanation:
you would need to factor each of the number and they are all in the 5 times table
Answer:
GCF = 5
Step-by-step explanation:
Reason being that all are divisible my 5 and 10 cannot be used because it makes a fraction which is not how the GCF can be found.
Math:
50 = 5 * 10 or 25 * 2 or 50 * 1
15 = 5 *3 or 15* 1
10 = 5 * 2 or 10 * 1
Only thing that is the same is 5, thus 5 is the GCF.
A shopping mall has $3,368 to spend on new tiles for the floor. If each tile costs $8, how
many tiles can the mall buy?
tiles
Answer:
421 tiles
Step-by-step explanation:
3368/8=421
Answer:
421 tiles
Step-by-step explanation:
Divide $3368 by $8 to determine the number of tiles the store can purchase:
$3368/($8 per tile) = 421 tiles
Stacy shares 164 peppers equally between 5 of her friends. How many peppers does each friend get? How many are left over?
Answer:
each person gets 32 papers and there are 4 left over
Step-by-step explanation:
Weslyes family spent $1,400 on a trip to the Grand Canyon. They spent 30% of the total on a sightseeing helicopter flight. Wesley estimates that his family spent about $450 on the flight
Answer:
(Hope this helps can I pls have brainlist (crown)☺️)
Step-by-step explanation:
In pic
Could anyone help? I’ve watched the videos but they’ve confused me even more
Answer:
for a) you have to draw the graph of y = x - 1 for values from 0 to 7 so you need to make the table in the picture:(see the attached picture) now draw it using the coordinates from the table
but for b) I don't know I tried something but it didn't work.