Answer:
15
Step-by-step explanation:
(3x-1+2x+1)(3) -> 3 is the plug-in for x
3x-1+2x+1=5x
5*3=15
15
Answer:
15
Step-by-step explanation:
f(x) = 3x -1
g(x) = 2x+1
(f+g)(3)
find g(3) = 2(3)+1 = 6+1 = 7
Then find f(3) = 3(3) -1 = 8
f(3) + g(3) = 7+8 = 15
In a co-educational school, 47 of the students are girls. If there are 324 boys, find the number of girls in the school.
Answer:
The total number of girls is 47.
Step-by-step explanation:
Below are the following values:
Total number of students = girls + boys
Total number of students = 47 + 324
Total number of students = 371
We are required to find the number of girls in the school.
Since a total number of boys is 324 and thus total number of girls is 47.
PLEASE HELPPPPPP WILL GIVE BRANLIST
Answer:
x = 1
Step-by-step explanation:
2(76x - 1) = 150
76x - 1 = 75
76x = 76
x = 1
What is the distance between (4, -10) and (4,-4)?
Answer:
For x there is no distance since they are both for. For y, they are -6 apart.
Step-by-step explanation:
Answer:
Fox x Diya is no distance since they are both for they are six apart
Step-by-step explanation:
(4-10)
and= just opposite size (10- 4) .
10 -4 = 6 answer 6
and (4-4)
answer is
0
the answer is six apart
understand
THE SPEED OF A CAR IS 144 KM/HR WHAT US ITS SPEED IN M/S
Answer:
40 m/s
Step-by-step explanation:
144 X (5/18) = 8X5 = 40
What are the domain and range of this function? y= (x+3)² - 5
A. Domain: [-5, ∞)
Range: [-∞,∞)
B. Domain: (-∞.∞)
Range: (-∞,∞)
C. Domain:(-∞,∞)
Range:[-5,∞)
D. Domain: (-5,∞)
Range: (-5,∞)
Hello!
[tex]\bf y = ( x + 3 )^{2} - 5 [/tex]
- Separate the function into parts to determine the domain of each part.
[tex]\bf ( x + 3 )^{2} \\ x + 3 \\ 5 [/tex]
- The domain of a polynomial function is the set of all real numbers.
[tex]\bf x ∈ ℝ [/tex]
Domain: ( -∞; ∞ )
[tex]\bf y = ( x + 3 )^{2} - 5 [/tex]
- Write the second degree function in standard form.
[tex]\bf y = x^{2} + 6x + 4 [/tex]
- Identifies the coefficients a and b of the second degree function.
[tex]\bf a = 1, b = 6 [/tex]
- Find the x coordinate of the vertex by substituting a = 1 and b = 6 in x = -b / 2a.
[tex]\bf x = -\frac{6}{2×1} [/tex]
[tex]\bf x = -\frac{6}{2} [/tex]
[tex]\bf x = -3 [/tex]
- Calculates the value of the function for x = -3.
[tex]\bf y = ( x + 3 )^{2} - 5 [/tex]
[tex]\bf y = -5 [/tex]
Range: ( -3; -5 )
Answer: No answer
Good luck! :)
On a number line, graph a number that is twice as from from 5 as it is from 8. How many numbers are there?
Answer:
On a number line, graph a number that is twice as far from 5 as it is from 8.
Step-by-step explanation:
11 is twice as far from 5 as it is from 8
Determine what type of model best fits the given situation: every day half a bacterial population dies
A. Linear
B. Exponential
C. None of these
D. Quadratic
Answer:
N = N0 e^-x t is the general form for Half-Life decay of atoms
B would be the correct choice
The type of model is exponential if the situation is every day half a bacterial population dies option (B) is correct.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a×
where a is a constant and a>1
We have a situation:
Every day half a bacterial population dies
As we know from the exponential function, the function that rapidly increases or decreases.
The standard form of the exponential function is:
y = a×
As the everyday half of bacterial population dies
Let the starting population is a
After one day: = a/2
After second day: = a/4
After third day: = a/8
After nth day: = (a/2)(1/2)ⁿ⁻¹
The above expression represents an exponential function.
Thus, the type of model is exponential if the situation is every day half a bacterial population dies option (B) is correct.
Learn more about the exponential function here:
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It is given 5 and h + 1 are the roots of the quadratic equation x² + (k - 1)x - 5 = 0,where h and k are constant.Find the value of h and k.
pls help me,i'll mark u as the brainliest!
Answer:
Hello,
k=-3 and h=-2
Step-by-step explanation:
[tex]5\ is\ a \ root \of \ x^2+(k-1)*x-5=0\\\\5^2+(k-1)*5-5=0\\\\5*(k-1)+20=0\\\\k-1=\dfrac{-20}{5} \\\\k=-4+1\\\\\boxed{k=-3}\\[/tex]
h+1 is thus a root of x²+(-3-1)*x-5=0
x²-4x-5=0
x²+x-5x-5=0
x(x+1)-5(x+1)=0
(x+1)(x-5)=0
h+1=-1
h=-2
sheela borrowed a sum of ₹10000 from leena at 7% per annum. find the interest and amount to be paid at the end of two years
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
Answer:Sheela will return Rs. 11,400 including the interest of Rs. 1400 at the end of 2 years.Step-by-step explanation:Sheela borrowed = Rs. 10,000Rate = 7%Interest at the end of = 2 yearsAmount and interest =Using the formula:[tex]\boxed{\pmb{\pink{\sf{SI = \dfrac{Principal \times Rate \times Time}{100}}}}}[/tex]
Principal = Rs. 10,000Rate = 7%Time = 2 years[tex]\begin{gathered}\sf{\longrightarrow \: {S.I = \dfrac{10000\times 7 \times 2}{100}}}\\\\\sf{\longrightarrow \: {S.I = \dfrac{100\times 14}{1}}}\\\\\sf{\longrightarrow \: {S.I =100 \times 14}}\\\\\bold{\longrightarrow \: {S.I =1400}}\end{gathered}[/tex]
Interest=Rs1400_______________[tex]\boxed{\pmb{\red{\sf{Amount = Principal + Simple \: Interest}}}}[/tex]
Principal = Rs. 10,000Simple Interest = Rs. 1,400[tex]\begin{gathered}\sf{\longrightarrow \: Amount = 10000 + 1400}\\\\\sf{\longrightarrow \: Amount = 10000 + 1400}\\\\\bold{\longrightarrow \: Amount = 11400}\end{gathered}[/tex]
Therefore,Shela will return Rs. 11,400 including the interest of Rs. 1400 at the end of 2 years.
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
WORTH 90 POINTS WILL MARK BRAINLY PLEASE HELP ME ASAP
Answer:
they are congruent.
Step-by-step explanation:
just move A down to -1 and and you can see they are the same.
Answer:
they are congruent.
Step-by-step explanation:
just move the A shape down to -1 and and you can see that they are the same.
1/x^-2 x=7 yeet yeet
Answer:
49
Step-by-step explanation:
x = 7
1 / x^-2
= x^2
= 7^2
= 49
Answer: 49
Step-by-step explanation: yeet
if 3x-4=2(y-2)
find x_y
Answer:
x = 2y/3
y = 3x/2
Answer:
Step-by-step explanation:
Can someone help me with this math homework please!
Answer:
f(x)< 0 over the intervals (- ∞, -2.7) and (-1,0.8).Answer: B
-----------------------
Hope it helps...
Have a great day!!
I DONT UNDERSTAND THIS PLEASE
Answer:
D. undefined
General Formulas and Concepts:
Algebra I
SlopeGraphingStep-by-step explanation:
A horizontal line has a slope of 0.
A vertical line has a undefined slope.
Any other line will have a slope of some number.
Answer:
D
Step-by-step explanation:
The slope of a line represents the number of units a line rises or falls vertically for each unit of horizontal change from left to right.
1) A line with positive slope (m > 0) rises from left to right.
2) A line with negative slope (m < 0) falls from left to right.
3) A line with zero slope is horizontal (parallel to x-axis).
4) A line with undefined slope is vertical (parallel to y-axis).
Ans: The line is parallel to y-axis. So, the slope is undefined
Find cos x if sin x cotx = 0.5
Answer: 0.5
Step-by-step explanation:
[tex]cot(x)=\frac{1}{tan(x)} =\frac{1}{\frac{sin(x)}{cos(x)} } =\frac{cos(x)}{sin(x)}\\\\sin(x)cot(x)=sin(x)*\frac{cos(x)}{sin(x)} =cos(x)\\\\cos(x)=sin(x)cot(x)=0.5[/tex]
Which of the following is an arithmetic sequence? 1, -3, 9, -27,... -2, 4, -6, 8, ... -8, -6, -4, -2, ... 2, 4, 8, 16, ...
Answer:
Given the proposed interrogate, the answer(s) to the following are identified as “-8, -6, -4, -2…” and “2, 4, 8, 16”.
Step-by-step explanation:
Accountable Conditions: Although the question implies there is only one individual mathematical statement which fits the conditions stated in the interrogate, both sequences listed above fit such, thus are both correct.
To evaluate for such, a comprehension of an “Arithmetic Sequence” is obligated:
In arithmetic sequences, the presence of a consecutive deviation or fixed pattern must be consistent and present throughout each and individual number or value contained within the particular set.
For Example: 3, 5, 7, 9, 11, 13, …
The deviation, or the number required to produce the subsequent value is identified as +2.
Now, apply such definitions to the peculiar problem:
A. 1, -3, 9, -27,… has -4, +12, -36, hence is not consistent. Thus, A cannot be correct.
B. -2, 4, -6, 8,… has +6, -10, +14, hence does not obtain a persistent consecutive pattern.
C. -8, -6, -4, -2… has +2, +2, +2, hence is consistent. Thus, C is correct.
D. 2, 4, 8, 16,… has +2, +2, +2, hence is consistent. Thus, D is correct.
find the value of x.
2+3
12
5
1.2
6.6
07
12
Answer:
x = 7
Step-by-step explanation:
The triangles are similar
12/8 = (x+3+5)/(x+3) cross multiply expressions
12x + 36 = 8x + 64
12x - 8x = 64 - 36
4x = 28 divide both sides by 4
x = 7
Can any kind soul help me please
Answer:
[tex] \displaystyle \theta = - {41.8}^{ \circ} + 2n\pi, {210}^{ \circ} + 2n\pi , {221.8}^{ \circ} +2nπ , {330}^{ \circ} +2nπ [/tex]
Step-by-step explanation:
we would like to solve the following trigonometric equation:
[tex] \displaystyle 6 { \sin}^{2} ( \theta) + 7 \sin( \theta) + 2 = 0[/tex]
to do so we can let sinθ be u so it'll be easier to solve:
[tex] \displaystyle 6 { u}^{2} + 7 u + 2 = 0[/tex]
to notice is that it's a quadratic equation to solve the equation we can consider factoring method in this method we rewrite the middle term as sum or substraction of two different terms in that case 3u+4u can be mentioned:
[tex] \displaystyle 6 { u}^{2} +3u + 4u + 2 = 0[/tex]
(continuing the method) well we can factor out the common terms and that yields:
[tex] \displaystyle 3u(2 { u}^{} +1) + 2(2u + 1)= 0[/tex]
group:
[tex] \displaystyle (3u+ 2)(2u + 1)= 0[/tex]
by Zero product property we acquire:
[tex] \begin{cases}\displaystyle 3u+ 2 = 0 \\ 2u + 1= 0 \end{cases}[/tex]
solve the equation for u:
[tex] \begin{cases}\displaystyle u = - \frac{2}{3} \\ \\ u= - \dfrac{1}{2} \end{cases}[/tex]
substitute back:
[tex] \begin{cases}\displaystyle \sin( \theta) = - \frac{2}{3} \\ \\ \sin( \theta) = - \dfrac{1}{2} \end{cases}[/tex]
take inverse trig in both sides and that yields:
[tex] \begin{cases}\displaystyle \theta = - {41.8}^{ \circ}, {221.8}^{ \circ} \\ \\ \theta = {210}^{ \circ} , {330}^{ \circ} \end{cases}[/tex]
add period of 2nπ:
[tex] \displaystyle \theta = - {41.8}^{ \circ} + 2n\pi, {210}^{ \circ} + 2n\pi , {221.8}^{ \circ} +2nπ , {330}^{ \circ} +2nπ [/tex]
and we're done!
Answer??? if you want u can answer as u like....
60, because 6 times 10 is just that
Answer:
60
Step-by-step explanation:
6x10 is 60
Find sin R.
a. sin R= 29/21
b. sin R= 21/20
c. sin R= 20/29
d. sin R= 21/29
Answer:
sin R = 20 / 29
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin R = opp / hyp
sin R = 20 / 29
Use the distributive property to write equivalent expressions.
Someone please help, ty!
Answer:
For the question below, you will need to find the GCF of 45 and 60. In this instance it is 5, so it will be outside the box. The GCF answers will be inside the parenthesis, which is 7 and 12.
45x + 60 = 5(7x + 12)
In this question you have to multiply 2 with every number inside the parenthesis. So 2 × 10x and 2 × 4.
2(10x+4) = 20x + 8
Hope this helped.
how coming -17/18 please explain
Find the difference of the polynomials given below and classify it in terms of degree and number of terms.
3n2(n2 + 4n – 5) – (2n2 – 14 + 3)
OA. 3rd degree polynomial with 4 terms
OB. 4th degree polynomial with 4 terms
OC. 3rd degree polynomial with 5 terms
OD
4th degree polynomial with 5 terms
Given:
The polynomial is:
[tex]3n^2(n^2+4n-5)-(2n^2-14n+3)[/tex]
To find:
The difference of the polynomials and classify it in terms of degree and number of terms.
Solution:
Consider the polynomial,
[tex]P(x)=3n^2(n^2+4n-5)-(2n^2-14n+3)[/tex]
On simplification, we get
[tex]P(x)=3n^4+12n^3-15n^2-2n^2+14n-3[/tex]
[tex]P(x)=3n^4+12n^3-17n^2+14n-3[/tex]
The degree of this polynomial is 4 and the number of terms is 5.
Therefore, the correct option is D.
Answer:
answer for n^4 equation (see attached)
Step-by-step explanation:
Please help me solve this someone I’m really struggling
Step-by-step explanation:
y= x^2+5x-7
the vertex is -2.5 , -13.25
solutions ( -6.14 , 0) and (1.14 , 0 )
..........
y= -x^2+3x+8
vertex(1.5 ,10.25)
solutions ( -1.7 , 0) and (4.7 ,0 )
Can you answer this math homework? Please!
Answer:
10 T Shirts to have 105 dollars
Step-by-step explanation:
[tex]10.5x = 7.5x + 30[/tex]
[tex]3x = 30[/tex]
[tex]x = 10[/tex]
Pls help meeee thank you
Answer:
7/12
Step-by-step explanation:
add up all of the buttons
30+40+50=120
add up all of the blue and red buttons
30+40=70
then divide the added values
70/120
simplify
7/12
Answer:
7/12
Step-by-step explanation:
It will be seven 7 by 12
What is the area, in square feet, of the trapezoid below?
Answer:
A = 93.31 ft²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂)
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = 6.2, b₁ = 7.8, b₂ = 14.7 + 7.6 = 22.3 , then
A = [tex]\frac{1}{2}[/tex] × 6.2 × (7.8 + 22.3) = 3.1 × 30.1 = 93.31 ft²
In △ABC, m∠A=50∘, m∠B=60∘, and m∠C=70∘.
If △ABC is rotated 90∘ counterclockwise to △XYZ, what is the measure of angle Z?
Given:
In [tex]\Delta ABC, m\angle A=50^\circ, m\angle B=60^\circ[/tex] and [tex]m\angle C=70^\circ[/tex].
[tex]\Delta ABC[/tex] is rotated [tex]90^\circ[/tex] counterclockwise to [tex]\Delta XYZ[/tex].
To find:
The measure of angle Z.
Solution:
We know that the rotation is a rigid transformation. It means the image and figure are congruent to each other.
[tex]\Delta ABC[/tex] is rotated [tex]90^\circ[/tex] counterclockwise to [tex]\Delta XYZ[/tex]. So, [tex]\Delta ABC\cong \Delta XYZ[/tex].
[tex]\angle C\cong \angle Z[/tex] (CPCTC)
[tex]m\angle C=m\angle Z[/tex]
[tex]70^\circ=m\angle Z[/tex]
Therefore, the measure of angle Z is 70 degrees.
Answer:70
Step-by-step explanation:
What is one way a person can increase the wages he or she expects to earn?
A. By deciding not to get a high level of education
B. By choosing a job with a high market value
C. By reducing overall productivity in a year D. By advocating against minimum wage regulations
The correct way for a person can increase the wages he or she expects to earn is,
⇒ By choosing a job with a high market value.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
To find one way for a person can increase the wages he or she expects to earn.
Since, We know that;
A job with a high market value give more income than another things.
Thus, The correct way for a person can increase the wages he or she expects to earn is,
⇒ By choosing a job with a high market value.
Learn more about the mathematical expression visit:
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d^2=41 as a verbal expression
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{d^2 = 41}}[/tex]
[tex]\huge\boxed{\text{TAKE the SQUARE ROOT}}[/tex]
[tex]\huge\boxed{\mathsf{d = \pm \sqrt{41}}}[/tex]
[tex]\huge\boxed{\textsf{SIMPLIFY it}}[/tex]
[tex]\huge\boxed{\mathsf{d = \pm \sqrt{41}\ or \sqrt{-41}}}}[/tex][tex]\huge\boxed{\mathsf{Answer: d = \bf \sqrt{41} \ or \ \sqrt{-41}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge{\boxed{\frak{Amphitrite1040:)}}}[/tex]