Answer:
y=4x-10
Step-by-step explanation:
What are the solutions to the quadratic equation 4(x + 2)2 = 36 x = −11 and x = 7 x = −7 and x = 11 x = −5 and x = 1 x = −1 and x = 5
Answer:
c
Step-by-step explanation:
edge2020
The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.
Hence, option c) x = -5 and x = 1 is the correct answer.
What is a Quadratic Equation?
Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;
ax² + bx + c = 0
Where x is the unknown
To solve for x, we use the quadratic formula
x = (-b±√(b² - 4ac)) / (2a)
Given that;
4(x + 2)² = 36
4( x(x + 2) + 2(x+2) ) = 36
4( x² + 2x + 2x + 4 ) = 36
4( x² + 4x + 4 ) = 36
4x² + 16x + 16 = 36
4x² + 16x + 16 - 36 = 0
4x² + 16x - 20 = 0
We can further simply ( divide through by 4 )
x² + 4x - 5 = 0
Hence,
a = 1b = 4c = -5x = (-b±√(b² - 4ac)) / (2a)
x = (-4±√(4² - (4 × 1 × -5)) / (2×1)
x = (-4±√(16 - (-20)) / (2)
x = (-4±√(16 + 20)) / (2)
x = (-4±√(36)) / 2
x = (-4±6)) / 2
Hence
x = (-4-6)) / 2 and x = (-4+6)) / 2
x = -10/2 and x = 2/2
x = -5 and x = 1
The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.
Hence, option c) x = -5 and x = 1 is the correct answer.
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Write a fraction that is equal to 5
Answer:
5/1
Step-by-step explanation:
2)
Mike went to the doctor and was found to be 20 pounds overweight.
The doctor discovered that Mike ate an average of 2000 calories per
day. He said for Mike to lose weight and meet his goal, the maximum
amount of calories he could eat per day was 1750. How many calories
will Mike be cutting out each week (7 days)?
Answer:
1750 Calories
Step-by-step explanation:
2000-1750=250
250x7=1750
What is the polynomial of least degree with the given zeroes -2 and 4?
Answer:
-2
Step-by-step explanation:
base on my stuck knowledge
What is the distance between 0.6 and 0
Answer:
on the number its between 0 and 1
Step-by-step explanation:
if you jump from 0 to 6 you would have 6 jumps, so it would be 6.
0.6 equals 0.60 so it could ALSO be 60 jumps. (incase u needed that)
3.55. Постройте график линейной функции:
1) у = 2/3х – 4;
2) y = 2x + 6;
3) у = -1,5х – 3;
4) y = -1/2x + 1;
5) y = 5/3x - 2;
6) y = -4/3x + 2;
Answer:
4) y = -1/2x + 1;
Step-by-step explanation:
maybe
or maybe not
4. The value of a copy machine is $8500 when it is purchased. After two years its value is $7475. What is its value after 8 years?
Answer:
3375 is the answer.
Step-by-step explanation: 8500- 1025=7475
so 1025 is every to years so we need to subtract 7475-1025-1025-1025-1025 so each 1025 is 2 yrs.
I hope this works :)
Which reason justifies statement 2?
A) Vertical angles are congruent
B) Corresponding angles are congruent
C) Alternate interior angles are congruent
D) Alternate exterior angles are congruent
Answer:
Step-by-step explanation:
Is b) corresponding angles are congruent.
The reason that justifies statement two: "Angle Y ≅ Angle 4", is option C "Alternate interior angles are congruent".
What are congruent angles?Angles that are of the same measurement are called congruent.
Suppose that two angles ∠A and ∠B are of the same measure, then
[tex]m\angle A = m\angle B[/tex] is the notation to say that they are of the same measurement, where the small m shows that it's the measurement's the angles they're preceding.
We can see that angle Y and angle 4 are two alternate angles within the two parallel lines cut across by the transversal, therefore, they are called alternate interior angles.
Since Alternate interior angles are always congruent to each other.
Thwithefore, the reason that justifies statement two: "Angle Y ≅ Angle 4", is "Alternate interior angles are congruent".
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Look at image which graph shows T (ABC)?
Answer:
A.
Step-by-step explanation:
That is a translation of 3 units left and 6 units down.
For all numbers x, f(x) = 3x + 3. What is the value of
f(3)?
Find the equation of the parabola with a focus at the point (2,5), and a directrix of y = 3.
Answer:
1,3
Step-by-step explanation:
I need help with 10 please!!!!!!!
From the graph, [tex]y=mx+b[/tex] and m < 0 (The slope right here is less than 0.)
That means cut ( b ) and ( d ) choice, they both are wrong.
Now look at ( a ) and ( c ).
For ( a ) It's just f(x) = -2x but the graph that's shown here intercepts y-axis at (0,2). f(x) = -2x is just slope and intercepts y-axis at (0,0)
So the answer is ( c )
Write the equation of the line that passes through the points (-9, -3) and (-7,7).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
y - 7 = 5(x + 7).
Step-by-step explanation:
The slope m (7--3)/ (-7- -9)
= 10 / 2 = 5.
y - y1 = m(x - x1)
Using the point (-7, 7):
y - 7 = 5(x + 7).
x + 3y = 13
- 3x + 2y = 27 steps on how to solve by substitution
here x+3y=13
x=13-3y.....1st equation
-3x+2y=27......2nd euation
now putting the value of x from equation 1st in 2nd we will get
-3(13-3y)+2y=27
-49+9y+2y=27
11y=27+49
y=76÷11
y=6.9
now again putting the value of y in equation 1st we get
x=13-3×6.9
x=13-20.7
x=7.7
How do you get from one number to the next using multiplication or division?
From 100 to 106
From 100 to 90
From 90 to 100
From 106 to 100
Answer:
You use decimal values. Like for the first one, multiply 100 by 0.01.
Step-by-step explanation:
The multiplication or division is 10^6/10^4
How to interpret integral multiplication?Suppose that there are two positive integer numbers( numbers like 1,2,3,.. ) as a and b
Then, their multiplication can be interpreted as:
[tex]a \times b = a + a + ... + a \: \text{(b times)}\\\\a \times b = b + b +... + b \: \text{(a times)}[/tex]
For example,
[tex]5 \times 2 = 10 = 2 + 2 + 2 + 2 + 2 \: \text{(Added 2 five times)}\\or\\5 \times 2 = 10 = 5 + 5 \: \text{(Added 5 two times)}[/tex]
Given;
From 100 to 10^6;
100 * 10^4 = 10^6
From 100 to 90;
100/10*9=90
From 90 to 100
90/9*10=100
From 10^6 to 100
10^6/10^4=100
Therefore, by multiplication or division will be 10^6/10^4
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Poooo sieieoleltlrllrlr
Answer:
ol rjlrjlfjcohcoucoycl lj
Answer:
:3
Step-by-step explanation:
Evaluate the function for x = 2,3,4
F(x) =2x-7-3
Answer:
below in bold
Step-by-step explanation:
f(x) = 2x - 7 - 3
~Combine like terms
f(x) = 2x - 10
When x = 2...
f(x) = 2(2) - 10
f(x) = 4 - 10
f(x) = -6
When x = 3...
f(x) = 2(3) - 10
f(x) = 6 - 10
f(x) = -4
When x = 4...
f(x) = 2(4) - 10
f(x) = 8 - 10
f(x) = -2
Best of Luck!
You measure 22 watermelons' weights, and find they have a mean weight of 36 ounces. Assume the population standard deviation is 6.9 ounces. Based on this, construct a 95% confidence interval for the true population mean watermelon weight. Give your answers as decimals, to two places
Answer:
Step-by-step explanation:
Confidence interval formula is expressed as;
CI = xbar ±(z*s/√n)
xbar is the mean = 36
z is the z score at 95% CI = 1.96
s is the standard deviation = 6.9
n is the sample size = 22
Substitute
CI = 36 ±(1.96*6.9/√22)
CI = 36 ±(1.96*6.9/4.6904)
CI = 36 ±(1.96*1.4711)
CI = 36 ± 2.8833
CI = (36 - 2.8833, 36 + 2.8833)
CI = (33.1167, 38.8833)
Hence the 95% CI for the true population mean is 33.12<x<38.88
3. From the table below, find Prof. Xin expected value of lateness. (5 points) Lateness P(Lateness) On Time 4/5 1 Hour Late 1/10 2 Hours Late 1/20 3 Hours Late 1/20
Answer:
The expected value of lateness [tex]\frac{7}{20}[/tex] hours.
Step-by-step explanation:
The probability distribution of lateness is as follows:
Lateness P (Lateness)
On Time 4/5
1 Hour Late 1/10
2 Hours Late 1/20
3 Hours Late 1/20
The formula of expected value of a random variable is:
[tex]E(X)=\sum x\cdot P(X=x)[/tex]
Compute the expected value of lateness as follows:
[tex]E(X)=\sum x\cdot P(X=x)[/tex]
[tex]=(0\times \frac{4}{5})+(1\times \frac{1}{10})+(2\times \frac{1}{20})+(3\times \frac{1}{20})\\\\=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20}\\\\=\frac{2+2+3}{20}\\\\=\frac{7}{20}[/tex]
Thus, the expected value of lateness [tex]\frac{7}{20}[/tex] hours.
An expected value is the theoretical mean value of a numerical experiment over many repetitions of the experiment.
Expected value of lateness is [tex]\frac{7}{20}[/tex] hours.
Let us consider, P(x) is represent that probability of lateness and x represent number of hours late.
So, below a table is formed.
x 0 1 2 3
P(x) 4/5 1/10 1/20 1/20
From formula of expected value,
E(x) = ∑ x P(x)
[tex]E(x)=(0*\frac{4}{5} )+(1*\frac{1}{10} )+(2*\frac{1}{20} )+(3*\frac{1}{20} )\\\\E(x)=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20} \\\\E(x)=\frac{7}{20}[/tex]
So, expected value of lateness is 7/20 hours.
Learn more:
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How many solutions does the absolute value equation have?
I x - 3 I + 2 = -2
9514 1404 393
Answer:
the correct answer is marked
Step-by-step explanation:
When the graph of the left side of the equation does not intersect the graph of the right side of the equation, there are no solutions.
__
Additional comment
Even if you extend the domain to complex numbers, there are no solutions. The f(x) = |x| function always returns a positive real value, even for complex numbers.
Please help me I need help?!!!
Answer:
B
Step-by-step explanation:
Can someone help me? Please i need this done
what is 0.44×(−534) ??
Answer:
−234.96
Step-by-step explanation:
Hope its the right answer that you're looking for :)
blank over five plus eighteen over twenty equals thirty over twenty
Answer:
3 and i use flvs too, also that pfp is fire
Step-by-step explanation:
Answer:
the answer is 3
5. Cherries are on sale for $16 for 4 pounds. Jordyn pays $28.00 for
cherries to make a cobbler. How many pounds of cherries does she buy? *
Answer:
7 pounds
Step-by-step explanation:
1 pound is $4 28/4 is 7
I WILL MARK BRAINLIST
Answer:
D
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
It translates 5 up and 3 left
Which angles are adjacent angles to 3? Select all that apply
Two Answers: Angle 1, Angle 4
Adjacent angles share a common segment, line, or ray. Think of two adjacent rooms sharing a common wall.
A vitamin C tablet contains 1/4
of a gram of vitamin C. You take 1 1/2
tablets every day. In simplest form, how many grams of vitamin C do you take every day?
Answer:
3/8 gramsStep-by-step explanation:
1 tablet ⇒ 1/4 gramsMultiply the amount of tablets by 1/4 to find the answer
1 1/2 tablet ⇒ 1 1/2 *1/4 = 3/2 * 1/4 = 3/8 grams9x+6+4x-2x+1-15
What is the answer?
Answer: 3x - 8
Hope it helps!
Answer:
9 + 6 + 4 − 2 + 1 − 1 5
9x+{\color{#c92786}{6}}+4x-2x+{\color{#c92786}{1}}{\color{#c92786}{-15}}
9x+6+4x−2x+1−15
9 − 8 + 4 − 2
Step-by-step explanation:
3/4 minus 7/16. In factions
Answer:
What is the question sir
Step-by-step explanation: