Answer:
A
Step-by-step explanation:
The graph of h(x) = (x-3)^2. The (x-3) indicates that the graph is shifted horizontally right 3 units because the change takes place inside the parantheses. Because the units are being subtracted, the graph will shift to the right. I highly recommend using Desmos to find your answer next time.
Write the following expression
as a
simplified polynomial in standard form.
2(x – 5)^2 + 2(x – 5) + 5
Answer:
2x^2 - 18x + 45
Step-by-step explanation:
Standard form is ax^2 + bx + c
Expand the (x-5)^2 = (x-5)(x-5) --
x^2 - 5x - 5x + 25
x^2 - 10x + 25
So we now have
2(x^2 - 10x + 25) + 2(x-5) + 5
From here, distribute the 2 to each term in x^2 - 10x + 25, and distribute the 2 to each term in x - 5.
2x^2 - 20x + 50 + 2x - 10 + 5
Combine like terms
2x^2 - 20x + 2x + 50 - 10 + 5
2x^2 - 18x + 40 + 5
2x^2 - 18x + 45
Solve for x. The triangles are similar.
A. 5
B. 10
C. 4
D. 8
Answer: D) 8
Work Shown:
32/24 = 2x/12
32*12 = 24*2x
384 = 48x
48x = 384
x = 384/48
x = 8
The correct option is Option D: the value of x is 8
What are similar triangles?The triangles whose corresponding angles are equal and the corresponding sides are in equal proportiion are called similar triangles.
If two triangles are similar
then a₁/a₂=b₁/b₂=c₁/c₂
where a₁, b₁, and c₁ are the sides of one triangle
a₂, b₂, and c₂ are the sides of another triangle
Here it is given that
triangles ΔJLK and ΔRJS are similar.
so by the property of similar triangles,
JR/JL = JS/JK = RS/KL
Given that JR=24
JL=32
JS=12
JK=2x
By using the property
JR/JL = JS/JK
⇒ 24/32 = 12/2x
⇒2x= 12*32/24
⇒2x=16
⇒x=16/2
⇒x=8
Therefore the value of x is 8.
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the cost of a ford is 2/13 of the cost of a rolls Royce. If the current price of a rolls Royce is $211 250, what is the cost of a ford ?
Find the missing angles indicated by small letters in each of the diagram.
Answer:
a) X=75°
y= 105°
b) b= 120°
a=45°
d) r=75°
q=37°
p= 37°
e) y=100°
X= 143°
Step-by-step explanation:
soln no. a
here,
X+50+55=180(sum of all angle of triangle)
or, X= 180-105
or, X= 75°
again,
X+y = 180 (straight angle)
or, y= 180-75
or, y= 105°
soln no b
here,
b+60=180(straight angle)
or, b = 180 - 60
or, b = 120°
again,
a+60+75=180(sum of all angle of triangle)
or, a = 180- 135
or, a = 45°
soln no. d
here,
r=70°( alternate angle)
again,
73°+q+r=180( sum of all angle of triangle)
or,q=180-143
or,q=37°
again,
p=q=37(alternate angle)
soln no. e
y+80=180(straight angle)
or,y= 180-80
or, y = 100°
again,
63+80+<RMB=180(sum of all angles of triangle)
or, 143+<RMB=180
or, <RMB=180-143
or,<RMB= 37°
again,
X+ <RMB= 180(straight angle)
or,X= 180°-37°
or, X = 143°
I do not understand this question can someone help me with good explanation will give Brainliest
Answer:
60 (E)
Step-by-step explanation:
He plants seeds -> plants grow to 12 times the original weight of the seeds -> he sells 50 tonnes from the harvest -> remainder is used as the next batch of seeds
He harvested 120 tonnes this year which means the original weight of the seeds planted was 120÷12 = 10 tonnes. This means that last years harvest would be the 10 tonnes used as seeds plus the 50 tonnes that would have been sold immediately, 10+50 = 60 tonnes
1. Identify each number as rational or irrational. Give a reason for your choice.
Part I: The number 0.35 is a(n) _I
number because
Answer:
rational
Step-by-step explanation:
it can be written as a fraction
Let ε = {5,6,7,8,9}, A = {x | x >7} and B = {5,6} Find
1. P(A’)
2. P(A) U P(B)
3. P(A) ∩ P(B)
4. P(A ∩ B)
Answer:
A={x| x>7} = 8,9
B= {5,6}
1,
2,{5,6,8,9}
3,{}
4{}
The extract of a plant native to Taiwan has been tested as a possible treatment for Leukemia. One of the chemical compounds produced from the plant was analyzed for a particular collagen. The collagen amount was found to be normally distributed with a mean of 61 and standard deviation of 9.8 grams per mililiter. a. What is the probability that the amount of collagen is greater than 60 grams per milliliter
Answer:
45.94%
Step-by-step explanation:
Probability-Above 45.94%
Z =0.1
x= 61
µ 60
σ 9.8
write down the relation between the scales of temperature i.e degree Fahrenheit and degree Celsius in form of function and also write it's inverse
Answer:
C=（9F-32）/5
inverse：
Step-by-step explanation:
Which of the following expressions has a value of 4? A. (16 – 12)² B. – | – 4 | C. (96 ÷ 8) – 2³ D. 24 – 42
A. (16 - 12)² = 4² = 4 · 4 = 16
B. -|-4| = -4
C. (96 : 8) - 2³ = 12 - 8 = 4
D. 24 - 42 = -(42 - 24) = -18
or 2⁴ - 4² = 16 - 16 = 0
The correct answer is C
An article in Fortune (September 21, 1992) claimed that nearly one-half of all engineers continue academic studies beyond the B.S. degree, ultimately receiving either an M.S. or a Ph.D. degree. Data from an article in Engineering Horizons (Spring 1990) indicated that 117 of 484 new engineering graduates were planning graduate study. Are the data from Engineering Horizons consistent with the claim reported by Fortune
Answer:
unless this is a stats question and you are suggesting that you have bad sampling techniques being used
117/484 is about 24% that is 100% under the "about 50%" stated in the article
Step-by-step explanation:
Which of the following is written as a rational function
The function written in the rational form is, C. F(x) = (x - 5)/3x
What are rational numbers?Rational numbers are subsets of real numbers which can be written in the form of p/q, where q ≠ 0. As at q = 0 it is undefined.
Similarly, A rational expression is also written in the form of p/q, where p and q are algebraic expressions and q ≠ 0.
From the given options, F(x) is written in the form p/q,
Where, p = x - 5 and q = 3x.
Therefore, The rational function is, F(x) = (x - 5)/3x, where x ≠ 0.
As at x = 0 the function is undefined.
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17
Ax+2y=12
8x +32 y=144
For what value of A will the system of equations above
have no solutions?
Answer:
Hello,
a=0.5
Step-by-step explanation:
[tex]\left \{ \begin{array}{ccc}ax+2y&=&12\\8x+32y&=&144\\\end{array}\right.\\\\\\\Longleftrightarrow\ \left \{ \begin{array}{ccc}ax+2y&=&12\\x+4y&=&18\\\end{array}\right.\\\\\\\Longleftrightarrow\ \left \{ \begin{array}{ccc}(1-2a)x&=&-6\\x+4y&=&18\\\end{array}\right.\\\\if\ 1-2a\neq 0\ (or\ a\neq \dfrac{1}{2} )\ then\\\left \{ \begin{array}{ccc}x&=&\dfrac{6}{2a-1}\\\\y&=&\dfrac{18-\dfrac{6}{2a-1}}{4} \\\end{array}\right.\\\\[/tex]
[tex]\Longleftrightarrow\ \left \{ \begin{array}{ccc}x&=&\dfrac{6}{2a-1}\\\\y&=&\dfrac{ 3(3a-2)}{2a-1} \\\end{array}\right.\\\\[/tex]
else\
[tex]a=\dfrac{1}{2} \\\Longleftrightarrow\ \left \{ \begin{array}{ccc}\dfrac{1}{2} x+2y&=&12\\\\x+4y&=&18 \\\end{array}\right.\\\\\\\Longleftrightarrow\ \left \{ \begin{array}{ccc}x+4y&=&24\\\\x+4y&=&18 \\\end{array}\right.\\\\\\\Longleftrightarrow\ \left \{ \begin{array}{ccc}0=6\ !!!!!\\\end{array}\right.\\\\Syetem\ has\ no\ solution\\[/tex]
Which models best illustrates the inequality and its graph?
t< 55
a.) t is at least 55
b.) t is less than 55
c.) t is 55 or more
d.) t is at most 55
Answer:
B
Step-by-step explanation:
Open circle means the number is not included.
Hope this helps <3
Rose has $83. She is saving up for a new bike. If she saves $15 per week, how much money will she have after 8 weeks?
How much money does Rose have after 8 weeks? Solve on paper, then enter your answer on Zearn.
Rose has $
after 8 weeks.
Answer:
$203
Step-by-step explanation:
15x8=$120
120+83=$203
EFGH is an isosceles trapezoid and EFGI is a parallelogram. If m∠IEF = 36°, then m∠HGI = ° (Blank 1).
The base angles of an isosceles trapezoid are equal; For EFGI to be a parallelogram, the measure of [tex]\angle HGI[/tex] is: 108 degrees
Given that:
[tex]\angle IEF = 36^o[/tex]
IEF and GHI are the base angles of the trapezoid.
So:
[tex]\angle GHI = \angle IEF = 36^o[/tex]
Also:
[tex]\triangle GHI[/tex] is an isosceles triangle.
This means that:
[tex]\angle GHI = \angle HIG = 36^o[/tex] --- base angles of an isosceles triangle
So:
[tex]\angle GHI + \angle HIG + \angle HGI = 180[/tex] --- sum of angles in a triangle
Substitute known values
[tex]36 + 36+ \angle HGI = 180[/tex]
[tex]72 + \angle HGI = 180[/tex]
Collect like terms
[tex]\angle HGI = 180-72[/tex]
[tex]\angle HGI = 108[/tex]
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plz help me this will be appreciated
Answer:
1. h
2. b
3. a
4. d
5. c
Step-by-step explanation:
all answers are straight forward. only the last (5) is phrased a bit strangely. I would have said "reflect across a horizontal line".
Find the measures of the indicated angle
Answer:
76
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin ? = 32/33
Taking the inverse sin of each side
sin ^-1( sin ?) = sin^-1 (32/33)
? =75.85888
To the nearest degree
? = 76
Evaluate-2 xy, if x= - 4 and y= 1.
Answer:
8
Step-by-step explanation:
-2 xy
Let x = -4 and y = 1
-2 (-4)*(1)
8(1)
8
A juice machine is set to dispense 16 ounces of juice. The amount of juice
dispensed is normally distributed, with a mean of 16.15 ounces and a
standard deviation of 0.25 ounces. In which range will the amount of juice
dispensed be found 68% of the time?
Answer: A): 15.90 ounces to 16.4 ounces.
Step-by-step explanation:
Considering the standard deviation is 0.25 ounces. The mean of the juice is 16.15 ounces. Additionally, 68% is one standard deviation away from the mean.
With that being said, you would do the following calculations:
[tex]16.15-0.25=15.90\\\\16.15+0.25=16.40[/tex]
This question relates to The Empirical Rule and understanding how it works. A brief summary is that within one standard deviation of the mean, that is where 68% of the data lies. Two standards deviations is 95%. And three standard deviations is 99.5%.
The formula: [tex]u\frac{+}{-} o[/tex]
the mean PLUS OR MINUS the standard deviation.
Answer:
A
Step-by-step explanation:
Find the value of x for which ABCD must be a parallelogram
a. 1
b. 94
c. 3
d. 47
Answer:
c. 3
Step-by-step explanation:
BC||AD so <CBD=<BDA
15x+2=9x+20
15x-9x=20-2
6x=18
x=3
PLS HELP Leo is looking at two different savings plans. The first plan requires an initial deposit of $500 and grows at an annual interest rate of 2.5%. The second plan requires an initial deposit of $400 and interest grows continuously at a rate of 2% per year. Leo wrote a system of equations to represent the account balance of either plan, y, after x years. Which two equations are part of the system?
OPTIONS ARE BELOW
Answer:
First and Second option choices
Step-by-step Explanation:
1st case:
Initial deposit (P) = 500
Annual interest rate (r) = 2.5%
Account balance after x years, y = P(1+r/100)×
y = 500(1+2.5/100)×
y = 500(1+0.025)×
y = 500(1.025)×
2nd case:
Initial deposit (P) = 400
Annual interest rate (r) = 2%
Account balance after x years, y = P(1+r/100)×
y = 400(1+2/100)×
y = 400(1+0.02)×
y = 400(1.02)×
The correct option is (A) and (B)
What are Equations?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).
Parts of an EquationThere are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables. As opposed to this, an equation with variables is an algebraic equation. Look at the image below to understand the parts of an equation.
Initial deposit (P) = 500
Annual interest rate (r) = 2.5%
Account balance after x years, y = P(1+r/100)^×
y = 500(1+2.5/100^)×
y = 500(1+0.025)^×
y = 500(1.025)^×
again,
Initial deposit (P) = 400
Annual interest rate (r) = 2%
Account balance after x years, y = P(1+r/100)×
y = 400(1+2/100)^×
y = 400(1+0.02)^×
y = 400(1.02)^×
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write down the first 3 term of each sequence described by the sequence with first term 8 and difference -7
Answer:
8,1,-6
Step-by-step explanation:
8 + (-7)
= 8-7 = 1
1 + (-7) = 1 - 7 = -6
The first three terms are 8, 1,-6
Answered by Gauthmath
What is the missing reason in the proof? Given: ∠ABC is a right angle, ∠D B C is a straight angle Prove: ∠ABC ≅ ∠A B D A horizontal line has points D, B, C. A line extends vertically from point B to point A. Angle A B C is a right angle. definition of angle bisector segment addition property definition of congruent angles transitive property
Answer:
Definition of Congruent angles.
Step-by-step explanation:
Given
See attachment
Required
Complete the proof at step 8
At step 8, we have:
[tex]\angle ABC \cong \angle ABD[/tex]
When the sign [tex]\cong[/tex] is used, it means congruence
In other words;
ABC and ABD are congruent
Hence, the missing statement at step 8 is: Definition of Congruent angles.
Answer:
ABC and ABD are congruent
Step-by-step explanation:
3x – (7x + 2) > 5x + 4
Answer:
x < -2/3Step-by-step explanation:
3x – (7x + 2) > 5x + 4= 3x -7x - 2 > 5x + 4= -4x - 2 > 5x + 4= -4x -5x > 4 + 2 = -9x > 6= x < -2/3[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Combine these radicals.
Anyone can help pls
Answer with the explanation step by step
Answer:
The answer is A. [tex]\frac{3(x-21)}{(x+7)(x-7)}[/tex].
Step-by-step explanation:
To find the difference of this problem, start by simplifying the denominator, which will look like [tex]\frac{3}{x+7}-\frac{42}{(x+7)(x-7)}[/tex]. Next, multiply [tex]\frac{3}{x+7}[/tex] by [tex]\frac{x-7}{x-7}[/tex] to create a fraction with a common denominator in order to subtract from [tex]\frac{42}{(x+7)(x-7)}[/tex]. The problem will now look like [tex]\frac{3}{x+7}*\frac{x-7}{x-7}-\frac{42}{(x+7)(x-7)}[/tex].
Then, simplify the terms in the problem by first multiplying [tex]\frac{3}{x+7}[/tex] and [tex]\frac{x-7}{x-7}[/tex], which will look like [tex]\frac{3(x-7)}{(x+7)(x-7)}-\frac{42}{(x+7)(x-7)}[/tex]. The next step is to combine the numerators over the common denominator, which will look like [tex]\frac{3(x-7)-42}{(x+7)(x-7)}[/tex].
Next, simplify the numerator, and to simplify the numerator start by factoring 3 out of [tex]3(x-7)-42[/tex], which will look like [tex]\frac{3(x-7-14)}{(x+7)(x-7)}[/tex]. Then, subtract 14 from -7, which will look like [tex]\frac{3(x-21)}{(x+7)(x-7)}[/tex]. The final answer will be [tex]\frac{3(x-21)}{(x+7)(x-7)}[/tex].
PLEASE HELPP!!!!
Find the area.
A.530in²
B. 779in²
C.390in²
D.1060in²
Answer:
530in²
Step-by-step explanation:
Area of triangle(a)=1/2bh=1/2*40*26.5=530
f(x) = 5x + 2x^2-7x+4
g(x) =3x-7
find (f+g)(x)
Answer:
(f+g)(x)=5x+2x²-7x+4+3x-7 = 2x²+x-3
Step-by-step explanation:
Answer:
=6x^3-20x^2+26x-28
Step-by-step explanation:
How do I find the Derivative of a Function where the x is a number?
If I was to find d/dx g(1) for example, would I first find the value of the function g(x) at x=1 and then find the derivative of that which becomes 0 because the result would probably be a constant. Or do I first find the derivative of g(x) and then plug in x=1 to calculate it?
Thanks
Given a function g(x), its derivative, if it exists, is equal to the limit
[tex]g'(x) = \displaystyle\lim_{h\to0}\frac{g(x+h)-g(x)}h[/tex]
The limit is some expression that is itself a function of x. Then the derivative of g(x) at x = 1 is obtained by just plugging x = 1. In other words, find g'(x) - and this can be done with or without taking a limit - then evaluate g' (1).
Alternatively, you can directly find the derivative at a point by computing the limit
[tex]g'(1) = \displaystyle\lim_{h\to0}\frac{g(1+h)-g(1)}h[/tex]
But this is essentially the same as the first method, we're just replacing x with 1.
Yet another way is to compute the limit
[tex]g'(1) = \displaystyle\lim_{x\to1}\frac{g(x)-g(1)}{x-1}[/tex]
but this is really the same limit with h = x - 1.
You do not compute g (1) first, because as you say, that's just a constant, so its derivative is zero. But you're not concerned with the derivative of some number, you care about the derivative of a function that depends on a variable.
