Answer:
x = 4 ; x = 8
Step-by-step explanation:
[tex]x^2 + 32 = 12x[/tex]
bring all the terms to one side and set equal to 0
[tex]x^2 - 12x + 32 = 0[/tex]
factor the polynomial
[tex](x-8)(x-4) = 0[/tex]
set each factor equal to zero and solve
[tex](x-8) = 0 \\x - 8 = 0 \\x = 8[/tex]
[tex](x-4)=0\\x-4 = 0\\x = 4[/tex]
8x-3x+2=______ I need the equation to be a no solution
can someone please help me
Answer:
i think its 9, i dont exactly know
Step-by-step explanation:
What is the formula on finding the base for a triangle?
Answer:
Step-by-step explanation:
The area of a triangle is ½ (b × h), where b is the base and h is the height. The base of a triangle is any one of the sides, and the height of the triangle is the length of the altitude from the opposite vertex to that base.
The sides of a triangle are (x + 3) cm, (2x - 1) cm, and (3x + 4) cm. What is the perimeter of the triangle? *
Answer:
Step-by-step explanation:
Perimeter is all sides added together...
X+3+2x-1+3x+4
Combine like terms
X+2x+3x.. 6x
3-1+4.. 2+4.. 6
Answer:
6x+6
If the pattern below follows the rule "starting with 10, every consecutive line has a number 1 less than the previous line," how many marbles must be in the seventh line?
Answer: B: 4
Step-by-step explanation: just took the test
The seventh line will be having 4 marbles which can be determined by taking the given data as an arithmetic progression with the first term as 1 and the common difference -1. Hence, option B is the right choice.
What is an Arithmetic Progression?An arithmetic progression (A.P.) is a series where every term is the sum of the previous term and a common difference.
The first term of an arithmetic progression is denoted by a, and its common difference is denoted by d. The n-th term of an arithmetic progression can be found using the formula
n-th term = a + (n-1)d.
How do we solve the given question?We are given a pattern, starting with 10 marbles and every consecutive line has 1 less marble than the previous line. We are asked to find the number of marbles in the 7th line.
This can be seen as an arithmetic progression with the first term a = 10, and the common difference d = -1.
We are asked to find the number of marbles in the 7th line. This can be taken as the 7th term of the given arithmetic progression.
n-th term = a + (n-1)d
or, 7th term = 10 + (7-1)(-1) = 10 + 6(-1) = 10 - 6 = 4.
∴ The seventh line will be having 4 marbles which can be determined by taking the given data as an arithmetic progression with the first term as 1 and the common difference -1. Hence, option B is the right choice.
Learn more about an arithmetic progression at
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what's the square root of 1/36?
The square root of the number is A = 1/6 = 0.16667
Given data ,
Let the first number be represented as p
where the value of p = 1/36
Now , the square root of the number is expressed as
A = √p
The radical form of a number refers to expressing a number using a radical symbol (√) to represent a root.
It is used to express the roots present in the number.
So , A = √( 1/36 )
On simplifying , we get
A = 1/6
On further simplification , we get
A = 0.166667
Hence , the square root is A = 1/6 = 0.16667
To learn more about radical form of numbers click :
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HELP FAST
DARIA
3(x – 17) < 9(1 – 3x)
Is 2 a solution to Daria's inequality?
O Yes
O No
Answer:
yes
Step-by-step explanation:
no
Answer:
eliminated, the bedtime increases by one minute. ... Description: This activity requires students to tell time to the half-hour (e.g. 4:00, 5:30, 11:30).
Step-by-step explanation:
From The Graph Below Determine the total percentage found of each substance expect hydrogen and helium
Answer:
80%
Step-by-step explanation:
Since we're excluding hydrogen and helium, we are looking for the % of nitrogen and oxygen.
From the graph, we can see that we found 75% oxygen (blue).
We can also see that of nitrogen, green, we found 5%.
We simply need to add these two together.
75% + 5% = 80%
Answer: 80%
How to solve 8.6 = z -3.8
Answer:
12.4
Step-by-step explanation:
Step 1:
8.6 = z - 3.8
Step 2:
8.6 + 3.8 = z
Answer:
12.4 = z
Hope This Helps :)
Answer:
z=12.4
Step-by-step explanation:
8.6 = z-3.8
Add 3.8 on both sides
z = 12.4
Which Expression is Equivalent to the given expression? (4m^2n)^2/2m^5n
Answer:
D. [tex] 8 {m}^{ - 1} n[/tex]
Step-by-step explanation:
[tex] \huge \frac{(4 {m}^{2} n)^{2} }{2 {m}^{5}n } \\ \\ \huge= \frac{16 {m}^{4} {n}^{2} }{2 {m}^{5}n } \\ \\ \huge = 8 {m}^{4 - 5} {n}^{2 - 1} \\ \\ \huge \purple{ \boxed{= 8 {m}^{ - 1} n}}[/tex]
Answer:
8m^-1n
Step-by-step explanation:
what is 1/2x1/2+1/3+9/1
Answer:
9.58333333333
Step-by-step explanation:
If m CGD=4x+2, m DGE=3x-5, m EGF=2x+10, find the following measures.
2. Old folks Here is a stemplot of the percents of residents
aged 65 and older in the 50 states:
Key: 152 means 15.2% of
this state's residents are 65
or older.
7
8
9
10
11
12
13
14
15
16
0
8
8
019
16777
01122456778999
0001223344455689
023568
24
9
(a) Find the percentile for Colorado, where 10.1% of the
residents are aged 65 and older.
(b) Rhode Island is at the 80th percentile of the
distribution. Interpret this value. What percent of
Rhode Island's residents are aged 65 and older?
Answer:
34
Step-by-step explanation:
Which is the best answer for how many
word Lucy can type in 27 minutes?
Answer:
i need more information to answer this question
Step-by-step explanation:
The sum of the roots of the quadratic 5x^2 - 6x + 1 = 0 is
Answer:
here's your answer
hope this helped you
please mark as the brainliest (ㆁωㆁ)
J/6 -9=5/6
Can u give me a step to step answer
Answer:
j = 59
Step-by-step explanation:
since you are solving for j, you want to get it by itself
you can start out by multiplying both sides of the equation by 6 to get rid of the fractions
[tex](6)(\frac{j}{6}-9)=\frac{5}{6}(6)[/tex]
distribute the 6
[tex]j-54=5[/tex]
add 54 to both sides
[tex]j-54+54=5+54[/tex]
[tex]j=59[/tex]
Mimi and Rita both plan to run for a spot on the school
board in their city. They must each collect a certain
number of signatures to get their name on the ballot. So
far, Mimi has 30 signatures, but Rita just started and
doesn't have any yet. Mimi is collecting signatures at an
average rate of 8 per hour, while Rita can get 14
signatures every hour. Assuming that their rate of
collection stays the same, eventually the two will have
collected the same number of signatures. How many
signatures will they both have?
Create two tables showing hours and signatures. Write,
graph, and solve a system of equations for this situation.
Explain what your solution means for the situation.
Answer:
The equal number of signatures Mimi and Rita eventually collects are 70 signatures
Step-by-step explanation:
1) The initial number of signatures Mimi has = 30 Signatures
The average rate at which Mimi can collect signatures = 8 signatures per hour
The average rate at which Rita can collect signatures = 14 signatures per hour
The table of values showing the number of signatures Mimi and Rita can have at a given hour is presented as follows;
For Mimi, we have;
Hour [tex]{}[/tex] Number of Signatures
0 [tex]{}[/tex] 30
1 [tex]{}[/tex] 38
2 [tex]{}[/tex] 46
3 [tex]{}[/tex] 54
4 [tex]{}[/tex] 62
5 [tex]{}[/tex] 70
For Rita, we have;
Hour [tex]{}[/tex] Number of Signatures
0 [tex]{}[/tex] 0
1 [tex]{}[/tex] 14
2 [tex]{}[/tex] 28
3 [tex]{}[/tex] 42
4 [tex]{}[/tex] 56
5 [tex]{}[/tex] 70
2) The equation representing the number of signatures Mimi has at a given time, t, is given as follows;
The number of signatures Mimi has = 30 + 8 × t
The equation representing the number of signatures Rita has at a given time, t, is given as follows;
The number of signatures Rita has = 14 × t
3) Please find attached the required graph of the number of signatures Mimi and Rita has
4) The solution if the system of equations is given as follows;
30 + 8 × t = 14 × t
From which we have;
30 = 14 × t - 8 × t = 6 × t
t = 30/6 = 5 Hours
By substituting t = 5 hours in the above equations, the equal number of signature of signatures Mimi and Rita can have is therefore;
30 + 8 × 5 = 70 signatures = (14 × 5) signatures
The equal number of signatures Mimi and Rita eventually collects are 70 signatures
5) The meaning of the solution is that is Mimi and Rita continue collecting signatures at their respective constant rate of 8 and 14 signatures per hour, given that Mimi already has 30 signatures, they will have the same number of 70 signatures after 5 hours
(5x² - 8x + 1) + (2x2 - 4x - 11)
Answer:
7x^2 −12x−10
Step-by-step explanation:
((5x2 - 8x) + 1) + (2x2 - 4x - 11)
Factoring 7x2-12x-10
The first term is, 7x2 its coefficient is 7 .
The middle term is, -12x its coefficient is -12 .
The last term, "the constant", is -10
Step-1 : Multiply the coefficient of the first term by the constant 7 • -10 = -70
Step-2 : Find two factors of -70 whose sum equals the coefficient of the middle term, which is -12 .
-70 + 1 = -69
-35 + 2 = -33
-14 + 5 = -9
-10 + 7 = -3
-7 + 10 = 3
-5 + 14 = 9
-2 + 35 = 33
-1 + 70 = 69
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
HELP! What is the length of the line?
Choose 1 answer:
A 11
B 61
C 8
D 11
Answer:
I believe the answer is 8
Step-by-step explanation:
does 4 time 9.99 give me 39.96?
Answer:
Yes
Step-by-step explanation:
Answer:
yes it does
Step-by-step explanation:
3 3
9.99
x 4
--------------
39.9 6
find the domain of f(x)=5x/x-2
Hey there!
ANSWER:Interval Notation: [tex](-[/tex]∞[tex],0)[/tex]∪[tex](0,[/tex]∞)
EXPLANATION:[tex]f(x)=\frac{5x}{x}-2[/tex]
Interval Notation: [tex](-[/tex]∞[tex],0)[/tex]∪[tex](0,[/tex]∞[tex])[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
Max has 40 fruits consisting of Apples, Mangos, and Peaches. Max has 5 more Apples than Mangos. He also
has four times as many Apples as Peaches. How many Apples does Max have?
Answer:7.5 apples
Step-by-step explanation:
Let the number of mangoes be represented by m
Max has 5 more Apples than Mangos.
Therefore apples = m + 5
Max has four times as many Apples as Peaches. Therefore, peaches = 4(m+5) = 4m + 20
Mangoes = m
Apples = m+5
Peaches = 4m+20
Mangoes + Apples + Peaches = 40
m + m+5 + 4m+ 20 = 40
6m+25 = 40
6m = 40 - 25
6m = 15
m = 15/6
m = 2.5
Apples = m+5 = 2.5 + 5 = 7.5
Max has 7.5 apples
vertical translation
horizontal translation
reflection over the x-axis
reflection over the y-axis
Answer: vertical translation
Step-by-step explanation:
A function is even if:
f(x) = f(-x)
and a function is odd if:
f(-x) = -f(x).
Now, we want to find a translation that only affects the symmetry of an odd function (but not that one of the even function).
The correct answer will be a vertical translation, now let's prove it.
when we have a function f(x) and we want to transform it into g(x), such that g(x) is a vertical translation of (for example) A units up, we can write the relation as:
g(x) = f(x) + A.
Now, let's see if this preserves the symmetry of the original function.
1) if f(x) is even, then:
g(x) = f(x) + A
g(-x) = f(-x) + A
But we know that f(-x) = f(x)
then:
g(-x) = f(-x) + A = f(x) + A = g(x)
this means that g(x) is even, the symmetry of an even function is not affected by this transformation.
Now suppose that f(x) is odd.
Then:
g(x) = f(x) + A
g(-x) = f(-x) + A
and f(-x) = -f(x)
then:
g(-x) = f(-x) + A = -f(x) + A
and this is clearly different than g(x) = f(x) + A.
Then the odd symmetry is broken.
Taki's are originally $3.25 a bag. You have a 25% off coupon. What
is the final price of the Takis?
Answer:
3.25 * .75 = $2.44
Step-by-step explanation:
Answer:
Your answer should be $2.44 or around there
Step-by-step explanation:
8 + 4x = 2x + 8 + 2x
Answer:x=0
Step-by-step explanation:
Answer:
0 = 0
True
Step-by-step explanation:
[tex]8 + 4x = 2x + 8 + 2x[/tex]
Collect like terms
[tex]8-8 =2x+2x -4x\\[/tex]
Simplify
[tex]8-8 =0\\2x+2x =4x\\4x -4x =0\\\\0=0[/tex]
A young sumo wrestler decided to go on a special diet to gain weight rapidly. He gained weight at a constant rate. The table compares the wrestler's weight (in kilograms) and the time since he started his diet (in months). Time (months) Weight (kilograms) 1.5 85.8 3.0 93.6 4.5 101.4 What was the wrestler's weight before he went on his diet?
Answer: 78 kilograms
Step-by-step explanation:
Answer:
78 kg
Step-by-step explanation:
Khan academy
The line through (4,-1) and (k,5) is parallel to the line y=-3x+5. FInd the value of k.
Answer:
k = 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 5 ← is in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes, thus the 2 points have a slope of - 3
calculate the slope using the slope formula and equate to - 3
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, - 1) and (x₂, y₂ ) = (k, 5)
m = [tex]\frac{5+1}{k-4}[/tex] = [tex]\frac{6}{k-4}[/tex] = - 3 ( multiply both sides by (k - 4) )
- 3(k - 4) = 6 ( divide both sides by - 3 )
k - 4 = - 2 ( add 4 to both sides )
k = 2
Help, please find errors!
Everything looks great. The only issue I see is that 27 is a bit smudged. I think you were trying to say "A, B and E" (in any order you want). If so then that would be the correct answer.
Solve each using mental math.
what is the DOMAIN of the graph
Answer:
The domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Step-by-step explanation:
The domain is the set of x -coordinates, {0,1,2} , and the range is the set of y -coordinates, Because {7,8,9,10} . Note that the domain elements 1 and 2 are associated with more than one range elements, so this is not a function.