Answer: 7x^2 + 2x + 7
Step-by-step explanation:
Combine likes terms that have alike variables and alike exponents.
(3x^2 + 4x^2) + (2x) + (2 + 5)
7x^2 + 2x + 7
how to solve this equation x²=16
Step-by-step explanation:
Hey there!
To solve this type of question, you must take square of variable"X" to right side making it ±squareroot. As it is a quadratic equation it will have two values (±).
Given;
[tex] {x}^{2} = 16[/tex]
Taking (square) to right side. It becomes ± square root.
[tex]x = + - \sqrt{16} [/tex]
[tex]x = + - \sqrt{ {4}^{2} } [/tex]
Cancel square and square root.
[tex]x = + - 4[/tex]
Therefore, X = ±4
Hope it helps...
Answer:
There are two I results found which is x=4 and x=-4
Step-by-step explanation:
Step by Step Solution:
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Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x^2-(16)=0
Step by step solution :
STEP
1 :
Trying to factor as a Difference of Squares:
1.1 Factoring: x2-16
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 16 is the square of 4
Check : x2 is the square of x1
Factorization is : (x + 4) • (x - 4)
Equation at the end of step
1 :
(x + 4) • (x - 4) = 0
STEP
2 :
Theory - Roots of a product
2.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
2.2 Solve : x+4 = 0
Subtract 4 from both sides of the equation :
x = -4
Solving a Single Variable Equation:
2.3 Solve : x-4 = 0
Add 4 to both sides of the equation :
x = 4 and/or x=-4
Thirty pounds of lemon drops are to be mixed with cherry chews to make a mixture that will sell for $1.60 per pound. How much (in Ib) of the more expensive candy should be used? See the table.
Can someone help me? Please I’m not great at math. Everything is in the pictures.
Answer:
Hi There
Your answers are:
4) 12/3
-10) YES!
0/10) 0 (zero)
2 & 3/4 ) 11/4
10 & 1/2 ) 21/2
.3) 3/10
-.16) -4/ 25
3.17) 3 & 17 /100
.3 repeating ) YES
.16 repeating) 1/ 6
-1.2 repeating ) YES!
If a decimal does not terminate or repeat is is not a rational number
Step-by-step explanation:
For 4)
4/1 = 12/x
Ask yourself, how do i get from 4 to 12?
Multiply by 3! HOWEVER, whats done to the numerator MUST be done to the denominator!
4/1 * 3/3 = 12/3
For -10 )
-10/1 = -20/2
Simplify -20/2!
Divide -20 by 2 = -10
-10/1 = -10/1 YES!
For 0/10 )
When you have ZERO tenths, what does that equal? Zero!
For 2 & 3/4ths )
To change to an improper fraction, multiply the 2 by the denominator and add that to the numerator. Put that over the original denominator
(2*4 +3) / 4
8+3 / 4 = 11/4
For 10 & 1/2 )
Repeat what you did for 2& 3/4ths!
(10*2+1)/2
20+1/2
21/2
What is 1/6 in a Percent
Answer:
16.67%
Step-by-step explanation:
1. Take 1 divided by six : 1/6 = 0.16666 . . .
2. Multiply by 100 to get a percent: 16.67%
Evaluate y 2 -y 1 x 2 -x 1 given the following values x 1 =10,x 2 =0,y 1 =14 and y 2 =6
Answer: the answer is 2
Step-by-step explanation:
Let p: x = 4
Let q: y=-2
Which represents "lf x = 4, then y = -2"?
Opvg
орла
Op-9
O p +9
[tex]p\longrightarrow q[/tex].
Hope this helps.
If p (x=4) then q (y=-2), the conditional statement is "p → q".
The correct option is C.
What is a conditional statement?A conditional statement is a sentence with the syntax "If p, then q." Here, the letters "p" stands for "hypothesis" and "q" for "conclusion."
The statement "If x = 4, then y = -2" can be written as a conditional statement, where the hypothesis is "x = 4" and the conclusion is "y = -2".
The symbol for a conditional statement is "→".
Therefore, the answer is "p → q", which reads as "If p (x = 4) then q (y = -2)".
To learn more about the conditional statement;
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8. How many ounces of liquid are in 4 gallons
Answer:
512 ounces
Step-by-step explanation:
Answer:
512 ounces of liquid
Step-by-step explanation:
The ratio of my action to comedy movies is 4:5. If I have 35 comedy movies, how many are action? *
Answer:
28 action movies
Step-by-step explanation:
Set up a proportion: [tex]\frac{4}{5} = \frac{x}{35}[/tex] Cross multiply, then divide: 35 × 4 = 140, 140 ÷ 5 = 28So, if you have 35 comedy movies, you would have 28 action movies.I hope this helps!
Write the value of the underline digit.
0.496 the underline number is 9
Answer:
0.090
Step-by-step explanation:
In the number 0.496, the number 9 is in the hundredths place.
0.496
The value of 9 in 0.496 is 9 hundredths, or 0.090.
Hope this helps.
Answer: 9 hundredths or 0.09
If AABC = ADEC,
ZB = 3x and ZE = 6x - 39
Answer:
x = 13
Step-by-step explanation:
3x = 6x - 39 solve for x
After school, Marcus ran 3.2 km, and Cindy ran 1.95 km. Who ran farther? How much farther?
Answer:
Step-by-step explanation:
Well, Marcus ran farther obviously. How is this even a question. 3 kilometers is way bigger than 1 kilometer. Do 3.2 - 1.95 to get 1.25 km
Some students are planning to sell gourmet popcorn at a school fundraiser. They plan to offer cheese popcorn and peanut butter popcorn. The table shows the cost of the ingredients for each type of popcorn and the price at which the students plan to sell the popcorn.
The students want to make and sell 100 containers of popcorn. They can spend at most $50 for the ingredients for each type of popcorn and the price at which the students plan to sell the popcorn.
Answer : 5 Step-by-step explanation:
In a process that manufactures bearings, 90% of the bearings meet a thickness specification. A shipment contains 500 bearings. A shipment is acceptable if at least 440 of the 500 bearings meet the specification. Assume that each shipment contains a random sample of bearings. a. What is the probability that a given shipment is acceptable? b. What is the probability that more than 285 out of 300 shipments are acceptable? c. What proportion of bearings must meet the specification in order that 99% of the shipments are acceptable?
Answer:
(a) 0.94
(b) 0.20
(c) 90.53%
Step-by-step explanation:
From a population (Bernoulli population), 90% of the bearings meet a thickness specification, let [tex]p_1[/tex] be the probability that a bearing meets the specification.
So, [tex]p_1=0.9[/tex]
Sample size, [tex]n_1=500[/tex], is large.
Let X represent the number of acceptable bearing.
Convert this to a normal distribution,
Mean: [tex]\mu_1=n_1p_1=500\times0.9=450[/tex]
Variance: [tex]\sigma_1^2=n_1p_1(1-p_1)=500\times0.9\times0.1=45[/tex]
[tex]\Rightarrow \sigma_1 =\sqrt{45}=6.71[/tex]
(a) A shipment is acceptable if at least 440 of the 500 bearings meet the specification.
So, [tex]X\geq 440.[/tex]
Here, 440 is included, so, by using the continuity correction, take x=439.5 to compute z score for the normal distribution.
[tex]z=\frac{x-\mu}{\sigma}=\frac{339.5-450}{6.71}=-1.56[/tex].
So, the probability that a given shipment is acceptable is
[tex]P(z\geq-1.56)=\int_{-1.56}^{\infty}\frac{1}{\sqrt{2\pi}}e^{\frac{-z^2}{2}}=0.94062[/tex]
Hence, the probability that a given shipment is acceptable is 0.94.
(b) We have the probability of acceptability of one shipment 0.94, which is same for each shipment, so here the number of shipments is a Binomial population.
Denote the probability od acceptance of a shipment by [tex]p_2[/tex].
[tex]p_2=0.94[/tex]
The total number of shipment, i.e sample size, [tex]n_2= 300[/tex]
Here, the sample size is sufficiently large to approximate it as a normal distribution, for which mean, [tex]\mu_2[/tex], and variance, [tex]\sigma_2^2[/tex].
Mean: [tex]\mu_2=n_2p_2=300\times0.94=282[/tex]
Variance: [tex]\sigma_2^2=n_2p_2(1-p_2)=300\times0.94(1-0.94)=16.92[/tex]
[tex]\Rightarrow \sigma_2=\sqrt(16.92}=4.11[/tex].
In this case, X>285, so, by using the continuity correction, take x=285.5 to compute z score for the normal distribution.
[tex]z=\frac{x-\mu}{\sigma}=\frac{285.5-282}{4.11}=0.85[/tex].
So, the probability that a given shipment is acceptable is
[tex]P(z\geq0.85)=\int_{0.85}^{\infty}\frac{1}{\sqrt{2\pi}}e^{\frac{-z^2}{2}=0.1977[/tex]
Hence, the probability that a given shipment is acceptable is 0.20.
(c) For the acceptance of 99% shipment of in the total shipment of 300 (sample size).
The area right to the z-score=0.99
and the area left to the z-score is 1-0.99=0.001.
For this value, the value of z-score is -3.09 (from the z-score table)
Let, [tex]\alpha[/tex] be the required probability of acceptance of one shipment.
So,
[tex]-3.09=\frac{285.5-300\alpha}{\sqrt{300 \alpha(1-\alpha)}}[/tex]
On solving
[tex]\alpha= 0.977896[/tex]
Again, the probability of acceptance of one shipment, [tex]\alpha[/tex], depends on the probability of meeting the thickness specification of one bearing.
For this case,
The area right to the z-score=0.97790
and the area left to the z-score is 1-0.97790=0.0221.
The value of z-score is -2.01 (from the z-score table)
Let [tex]p[/tex] be the probability that one bearing meets the specification. So
[tex]-2.01=\frac{439.5-500 p}{\sqrt{500 p(1-p)}}[/tex]
On solving
[tex]p=0.9053[/tex]
Hence, 90.53% of the bearings meet a thickness specification so that 99% of the shipments are acceptable.
The manufactures bearings.
As per the question, the process that a manufacturer bears 90% of the bearings and meet the thickness specifications. The shipment consists of 500 bearings. The shipment if taken has a least 440 and 500 bearings.
the answer is 0.94, 0.20, and 90.53%.
The assumption is that each shipment is randomly taken in a sample of bearings. The chances or the probability that that given shipment are acceptable are 0.94% and the probability that they are more than 285 out of the 300 bearings is 0.205. The part of bearings that must meet the specifications in order to be 99% of shipments is 90.5%.Learn more about the manufactures bearings.
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which subsequent true/false statement is true?
Answer:
True is corect
Step-by-step explanation:
true = true
Write the equation for a line which is parallel to the y-axis but contains the point (3,7).
Help I’ll mark you as the brainliest...there are no other info or answer choices
Answer:
y=3x-2
Step-by-step explanation:
find the equation of the line parallel to the line y=3x+7 passing through the point (3,7).
67 times a number minus 65 is equal to -4 less than the number
Answer:
Translation is 67x-65=x-4, you can use any variable for the number.
Step-by-step explanation:
The table below shows four problems using decimals.
Problem
Problem
Number
1
2
3
How many grams are in 2.3 kilograms? Recall that there are 1000
grams in a kilogram.
How many 85-cent nutrition bars can Mary buy for $20.00?
How many quarts does Mike have to buy for a recipe that calls for
13.7 cups? Recall that there are 4 cups in a quart.
How many days will a trip take if it takes 152.45 hours? Recall that
there are 24 hours in a day.
4.
Which problem would be solved using multiplication, and what is the solution to the problem?
Problem 1 requires multiplication. There are 2300 grams in 2.3 kilograms.
Problem 2 requires multiplication. Mary can buy 23 nutrition bars.
Problem 3 requires multiplication. Mike has to buy 54.8 quarts for the recipe.
Problem 4 requires multiplication. The trip will take 3658.8 days.
Nark this and retum
Answer
The answer is A
Answer:
It is A. my friend
Step-by-step explanation:
70-21.45=?
I need a answer fast and it is worth 25 points
Answer:
48.55
Step-by-step explanation:
Answer:
48.55
Step-by-step explanation:
Convert 70 into 70.00 and then it will be easier to subtract.
A penguin walks 10 feet in 6 seconds. At this speed:
How far does the penguin walk in 45 seconds?
How long does it take the penguin to walk 45 feet?
Explain or show your reasoning.
75 feet the penguin walk in 45 seconds and in 27 seconds the penguin walk 45 feet.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
penguin walks 10 feet in 6 seconds
At the same rate we need to find the distance walked by penguin in 45 seconds
Let x be the distance travelled by penguin in 45 seconds
10/6=x/45
Apply cross multiplication
45(10)=6x
450=6x
Divide both sides by 6
x=75
So 75 feet the penguin walk in 45 seconds.
Now let us find how long it takes for penguin to walk 45 feet.
Let x be the time
10/6=45/x
Apply cross multiplication
10x=270
Divide both sides by 10
x=27
In 27 seconds the penguin walk 45 feet.
Hence, 75 feet the penguin walk in 45 seconds and in 27 seconds the penguin walk 45 feet.
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Pls help I will give out points and make u the Brainly
Answer:
x=4
Step-by-step explanation:
thats the answer ^^
Answer:
its the second one
5
Solve for z in the literal equation - (z +11) = y.
7
Z=
Answer:
z= -55 / 5-y
the line is a divided by sign you put 55 on top and the 5-y on bottom
How do you do this question?
Answer:
∫₁⁵ 2t (t² + t³) dt
Step-by-step explanation:
The area is ∫ₓ₁ˣ² y dx. To parameterize, replace x₁ and x₂ with t₁ and t₂. Replace y = f(x) with y = f(t), and replace dx with (dx/dt) dt.
x = 5 + t², so dx = 2t dt.
∫₁⁵ (t² + t³) (2t dt)
∫₁⁵ 2t (t² + t³) dt
3 different numbers which are all equivalent to 10
Answer:
2 4 6
Step-by-step explanation:
35% of what is 28?............
35% of 80 is 28.
Answer is 80.
The graph of y = x4 - 2x2 + 1 is shown.
Answer:
the answer is89 why 838+3838+3838×908=72
what is the solution to 6x+5y=19 4x+6y=10
Answer:
The value of x is 4 and y is -1 .
Step-by-step explanation:
First, you have make any term to have the same coefficient. So I will choose x term :
[tex]6x + 5y = 19 - - - \times 2[/tex]
[tex]12x + 10y = 38 - - - (1)[/tex]
[tex]4x + 6y = 10 - - - \times 3[/tex]
[tex]12x + 18y = 30 - - - (2)[/tex]
Next, you have to solve it by Elimination method :
[tex](1) - (2)[/tex]
[tex]12x + 10y - 12x - 18y = 38 - 30[/tex]
[tex] - 8y = 8[/tex]
[tex]y = - 1[/tex]
[tex]substitute \: y = - 1 \: into \: (1)[/tex]
[tex]12x + 10( - 1) = 38[/tex]
[tex]12x - 10 = 38[/tex]
[tex]12x = 38 + 10[/tex]
[tex]12x = 48[/tex]
[tex]x = 4[/tex]
Matthew filled up his with gas for a total of $22.54. He noticed he purchased 9.2 gallons of gas. What is the price of 1 gallon of gas?
Answer:
$2.45 per gallon
Step-by-step explanation:
Divide to find the answer:
22.54 / 9.2 = 2.45
What is the equation of the line that passes through the point (-8,5) and has a slope
of o?
Answer: y = 5
Step-by-step explanation:
If the slope is 0, the graph of the line is a horizontal line (parallel to the x-axis). 0 slope means it is flat.
Here it passes through the y-axis at +5 and passes through every value of x.
The length of a rectangle is 3 less than twice the width. The perimeter of the rectangle is 66. Find the length and width of the rectangle.
Answer:
(2w-3)2+2w=66
4w-6+2w=66
6w=66+6
6w=72
w=12
l=24-3
l=21
x to the 5 power times x to the 8 power time x to the 0 power
idk i am in 6th grade idk
