Answer:
2x3+9x2+8x+4x2+18x+16
2x3+13x2+26x+16
Given that (y+z), (y+3) and (2y^2-1) are consecutive terms of an arithmetic progression. Find the possible values of y
Answer:
This problem actually says:
(y + 2), (y + 3) and (2*y^2 - 1) are consecutive terms of an arithmetic progression.
Now, the difference between two consecutive terms in an arithmetic progression is always the same, so we have:
(y + 3) - (y +2) = D
(2*y^2 - 1) - (y + 3) = D
From the first equation we have:
y + 3 - y - 2 = 1 = D
Now we can replace it in the other equation:
2*y^2 - 1 - y - 3 = 1
2*y^2 - y - 5 = 0
Now we need to solve that equation to find the possible values of y.
To solve a quadratic equation of the form:
a*x^2 + b*x + c = 0, we can use the Bhaskara's equation:
[tex]y = \frac{-b +- \sqrt{b^2 -4*a*c} }{2*a}[/tex]
in this case, the solutions are:
[tex]y = \frac{1 +-\sqrt[]{(-1)^2 - 4*2*(-5)} }{2*2} = \frac{1 +- \sqrt{61} }{4} = \frac{1+-6.4}{4}[/tex]
Then the possible values of y are:
y = (1 + 6.4)/4 = 1.85
y = (1 - 6.4)/5 = -1.35
The number of cars (C) in a aprking lot increases when the parking fee (f) decreases. Wrrite an equation for this scenerio, and solve for the number of cars when the fee is $6
Answer:
The correct equation for the scenario is C=k / f
Number of cars when fee=$6 is
C=k/6
Step-by-step explanation:
Let
C= number of cars
f=fee
Number of cars increases as fee decreases
This is an inverse variation
Therefore,
C= k / f
When,
f=$6
C= k / f
C=k/6
The correct equation for the scenario is C=k / f
Number of cars when fee=$6 is
C=k/6
What property are these? Associative property of addition, Commutative property of addition, identity property of multiplication, Associative property of multiplication, Commutative property of multiplication. 1. (3 x 7)(8) = 3(7 x 8) 2. (7k)5 = 5(7k) 3.8(x + 15) = (8)(x) + (8)(15)
Answer:
Step-by-step explanation:
1) (3 * 7)(8) =3 (7 * 8)
Associative property of multiplication
It states that product of three or more numbers remains same regardless the way they are grouped
2) (7k)5 = 5(7k)
Commutative property of multiplication
3) 8(x +15) = (8)(x) + (8)(15)
distributive property
Rewrite this decimal fraction as a decimal number.
Answer:
14.25
Step-by-step explanation:
14 25/100= 14*100+25/100=
1400+25/ 100
= 1425/100
= 14.25
Answer:
14.25
Step-by-step explanation:
the expression 14 25/100 can be written as 14+25/100
now converting 25 into decimal to cancel out the denominator we ll get 0.25
now adding 14 into 0.25
14+0.25
we get 14.25
Which of the following statements are true about segments in a plane? Choose all that apply. Every segment has infinitely many midpoints Every segment has two bisectors Every segment has one perpendicular bisector Every segment has infinitely many congruent segments Every segment has one line that is perpendicular to it
Answer:
The correct option are;
Every segment has one perpendicular bisector
Every segment has infinitely many congruent segments
Step-by-step explanation:
1) Every segment in a plane has exactly one perpendicular bisector
2) A congruent segment is a segment of equal length as a given segment, given that there can be infinitely many planes that can contain collinear points, whereby two points define a segment, the number of congruent segments that can be formed on infinitely many planes will therefore, be infinite.
Also given that the number of possible segments is infinite, the number of segments of a given size and therefore, the number of possible congruent segments is infinite.
How many factors are there in the algebraic expression −2x(x + 5)? Question 7 options: (a)2 (b)1 (c)4 (d)3
Answer:
d
Step-by-step explanation:
Answer:
THERE R 3 FACTORS SO D
Step-by-step explanation:
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
Whats the solution to this equation?
2x + 3(x - 10) = 45
A. x = 7
B. x = 3
C. x = 15
D. x = 11
Answer:
C
Step-by-step explanation:
2x + 3(x - 10) = 45
2x + 3x - 30 = 45
5x - 30 = 45
5x = 75
x = 15
Find ST. Help me solve please and thank you
Answer: ST is equal to 12
Step-by-step explanation:
If RU is equal to 24 as a whole and we are given that RS and TU are equal to 6 then we could set up an equation and solve for ST.
6 + 6 +x = 24 where x is the length of ST
12 + x = 24
-12 -12
x = 12
This is a summary of Mia's pay stub: Gross Pay: $56.00 State Tax Withholding: $1.60 Social Security Tax: $2.35 Federal Tax Withholding: $3.68 Medicare Tax: $.81 Savings Deposit: $35.00 Charity Donation: $1.00 What percent of Mia's gross pay goes for taxes?
Answer: 15.07%
Step-by-step explanation:
Given: Gross Pay: $56
State Tax Withholding: $1.60
Social Security Tax: $2.35
Federal Tax Withholding: $3.68
Medicare Tax: $.81 .00
Total tax = (State Tax Withholding + Social Security Tax + Federal Tax Withholding + Medicare Tax)
= $(1.60+ 2.35+3.68+0.81)
= $8.44
So, the percent of Mia's gross pay goes for taxes = (Total tax ) ÷ (Gross (pay) × 100
=(8.44 )÷ (56) × 100
= 15.07%
Hence, the percent of Mia's gross pay goes for taxes is 15.07%.
The factorization below is missing two positive integers a and b. 6x^(3)+18x^(2)-240x=6x(x-a)(x+b) Factor the polynomial and then supply the value of a. (Do not include the minus sign.)
Answer:
a = 5
Step-by-step explanation:
Hello, please consider the following.
[tex]6x^3+18x^2-240x=6x(x^2+3x-40)\\\\\text{** The sum of the zeroes is -3=-8+5 and the product is -40=-8*5. **}\\\\\text{** So, we can factorise. **}\\\\6x^3+18x^2-240x=6x(x^2+3x-40)=6x(x^2+8x-5x-40)\\\\=6x(x(x+8)-5(x+8))\\\\\large \boxed{=6x(x+8)(x-5)}[/tex]
So, a = 5.
Thank you.
for 10 pts what is 2 1/5 + 1 3/4
Answer:
3 19/20
Step-by-step explanation:
11/5+7/4=
44/20+35/20=
79/20=
3 19/20
Which expression is equal to 3 V-75?
15173
15v3i
-15iV3
-1573
न
2
3
4
5
Answer:
15i[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] and [tex]\sqrt{-1}[/tex] = i
Given
3[tex]\sqrt{-75}[/tex]
= 3 × [tex]\sqrt{25(3)(-1)}[/tex]
= 3 × [tex]\sqrt{25}[/tex] × [tex]\sqrt{3}[/tex] × [tex]\sqrt{-1}[/tex]
= 3 × 5 × [tex]\sqrt{3}[/tex] × i
= 15i[tex]\sqrt{3}[/tex]
For this item, a non-integer answer should be entered as a fraction using / as the fraction bar. Simplify the numerical expression. 2/3 divided by 2^4 + (3/4 + 1/6) divided by 1/3 =
Answer:
67/24
Step-by-step explanation:
Simplify the numerical expression.
2/3 divided by 2^4 + (3/4 + 1/6) divided by 1/3
2/3 ÷ 2⁴ +(3/4 + 1/6) ÷ 1/3
(2/3 ÷ 2⁴ ) +[(3/4 + 1/6) ÷ 3]
= (2/3 ÷ 16) + [9 + 2/12) ÷ 1/3]
=( 2/3 × 1/16 ) + [ 11/12 × 3]
= 1/24 + 11/4
= 67/24
Please help me......
Answer:
I got 50.7%, rounded up to be 51
Step-by-step explanation:
Add up all of Sohan's points and divide it by the total number of points and move the decimal over 2 places
(2x +1) -7 (-6x+9) what is the answer if using the Distributive Property?
Answer:
Step-by-step explanation:
Distributive property: a(b +c) = a*b + a*c
(2x + 1) - 7(-6x + 9) = (2x + 1) + (-7)*(-6x) + (-7)*9
= 2x + 1 + 42x - 63 {Combine like terms}
= 2x + 42x + 1 - 63
= 44x - 62
Evaluate this expression then round your answer to two decimal places:
7^4 ÷ 7^6 =
Answer:
0.02
Step-by-step explanation:
7⁴ / 7⁶ = 7⁴⁻⁶ = 7⁻² = 1/7² = 1/49 ≈ 0.02
Answer:
.02
Step-by-step explanation:
7^4 ÷ 7^6
We know that a^b ÷ a^c = a^ ( b-c)
7^4 ÷ 7^6
7^(4-6)
7^(-2)
We know that a^ -b = 1/a ^b
1 / 7^2
1/49
.020408163
Rounding to 2 decimal places
.02
Stretch the graph of f(x) = x + 3 vertically by a factor of 2
Answer:
see below
Step-by-step explanation:
A vertical stretch is accomplished by multiplying the function value by the stretch factor.
g(x) = 2f(x)
g(x) = 2(x +3)
The perimeter of a rectangle is 32 cm. The width is 7 cm. What is the area of the rectangle? Will mark brainliest.
Given :
[tex]\begin{lgathered}\bullet\:\:\textsf{Perimeter of reactangle = \textbf{32 cm}}\\\bullet\:\:\textsf{Width = \textbf{7 cm}}\end{lgathered}[/tex]
[tex]\rule{130}1[/tex]
Solution :
[tex]:\implies\sf Perimeter\:of\: rectangle = 2 (Length + Breadth) \\\\\\:\implies\sf 32 = 2 (l + 7)\\\\\\:\implies\sf 32 = 2l + 14\\\\\\:\implies\sf 32 - 14 = 2l\\\\\\:\implies\sf 2l = 18\\\\\\:\implies\underline{\boxed{\sf Length = 9\:cm}} [/tex]
[tex]\rule{170}2[/tex]
[tex]\dashrightarrow\sf\:\:Area\:of\: rectangle = Length \times Breadth\\\\\\\dashrightarrow\sf\:\: Area\:of\: rectangle = 7\:cm \times 9\:cm\\\\\\\dashrightarrow\:\:\underline{\boxed{\sf Area\:of\: rectangle = 63\:cm^2}}[/tex]
⠀
[tex]\therefore\:\underline{\textsf{The area of reactangle is \textbf{63}}\:\sf{cm^2}}.[/tex]
Answer:
Area of the rectangle is 63 cm².
Step-by-step explanation:
Given :-
The perimeter of a rectangle is 32 cm.The width is 7 cm.To find :-
The area of the rectangle.Solution :-
Consider,
Length of the rectangle = x cmwidth = 7 cm
Formula used :-
[tex]{\boxed{\sf{Perimeter of rectangle=2(Length+breadth)}}}[/tex]
According to the question ,
2(x+7) = 32
→ x+7 = 32/2
→ x +7 = 16
→ x = 16-7
→ x = 9
★ Length = 9 cm
Area of the rectangle ,
= length × Breadth
= 9 × 7 cm²
= 63 cm²
Therefore, the area of the rectangle is 63 cm².
You have a bag of M&M’s with 4 green, 5 yellow, 3 brown, and 8 red M&M’s. What is the probability of selecting 1 yellow followed by a green without replacement?
Answer:
the probability is 5/20 for picking one yellow
and the probability is 4/19 for picking green one right after
Combine the like terms to create an equivalent expression -3x-6+(-1)
The equivalent expression after combining the like terms is -3x - 7.
We have,
Expression:
-3x - 6 + (-1)
-6 and -1 are like terms.
To combine the like terms simply add them together:
-3x - 6 + (-1)
-3x - 7
-3x is the only term so it can be simplified further.
This is the simplest form of the expression.
Therefore,
The equivalent expression after combining the like terms is -3x - 7.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ4
Dany scored 93 in physics, 88 in mathematics, and a score in chemistry that is double his score in geography. The average score of all 4 courses is 79. What were his scores in chemistry and geography?
Linda scored a total of 265 point
Answer:
90
Step-by-step explanation:
Let x be Dany's score in geography. His score in chemistry is double his score in geography and it is equal to
2 x
The average of all four scores is 79. Hence
(93 + 88 + x + 2 x) / 4 = 79
Multiply both sides of the equation by 4
4×(93 + 88 + x + 2 x) / 4 = 4×79
Simplify
93 + 88 + x + 2 x = 316
Group like terms
3 x + 181 = 316
Solve for x
3 x = 135
3 x / 3 = 135 / 3
x = 45
score in geography = x = 45
score in chemistry = 2 x = 2 × 45 = 90
Hope it helped u if yes mark me BRAINLIEST!
Tysm!
Answer:
[tex]\huge\boxed{Chem = 90 \ marks , Geo = 45 \ marks}[/tex]
Step-by-step explanation:
Let the score of geography be x
=> Then, the score of chemistry will be 2x
So, the given condition is:
[tex]Average = \frac{Sum \ of \ values}{No. \ of \ values}[/tex]
=> [tex]79 = \frac{93+88+x+2x}{4}[/tex]
=> [tex]79 = \frac{181+3x}{4}[/tex]
Multiplying both sides by 4
=> [tex]79 * 4 = 181+3x[/tex]
=> 316 = 181 + 3x
Subtracting 181 to both sides
=> 316-181 = 3x
=> 135 = 3x
Dividing both sides by 3
=> 45 = x
OR
=> x = 45
So,
Chemistry = 45 * 2 = 90 marks
Geography = 45 marks
I need help solving this i tried and tired but still don’t understand. Factor out the greatest common factor. 6x^5+4x^3+8x=
Answer:
Add and subtract the second term to the expression and factor by grouping.
2
x
3
(
3
x
−
1
)
(
x
−
1
)
Step-by-step explanation:
Answer:
3x⁴+2x²+8
Step-by-step explanation:
[tex]6 {x}^{5} + 4 {x}^{3} + 8x[/tex]
[tex] = 2x(3 {x}^{4} + 2 {x}^{2} + 8)[/tex]
1
What is the solution to the equation 5x + 4 =19
Answer:
x=3
Step-by-step explanation:
5x + 4 = 19
-4 -4
5x = 15
/5 /5
x = 3
A local radio station is giving away t-shirts to listeners. On
Friday, the radio station gave away 24 shirts and had 212 left over. What equation tells how many shirts (t) the radio
station had to begin with?
A: d – 24 = 212
B: d + 24 = 212
C: d/24 = 212
D: 24d = 212
Answer:
a
Step-by-step explanation:
d - 24 = 212
d +24 = 212 + 24
d= 236
x +12 = 20
can you help me
Answer:
x=8
Step-by-step explanation:
x+12=20
Please look at the image and help me! It’s geometry.
Answer:
1
Step-by-step explanation:
12x+x+4=17
13x=17-4
13x=13
x=1
What is the sum of all values of k such that the equation 2x^2-kx+8=0 has two distinct integer solutions?
Answer:
k > 8
Step-by-step explanation:
Step 1: We know in order for a quadratic equation to have 2 distinct solutions the discriminant has to be positive
Important formula: Discriminant = [tex]b^{2}-4ac[/tex]
Step 2: Input information into discriminant
[tex]b^{2}-4ac[/tex] > 0
[tex]k^{2}-4(2)(8)[/tex] > 0
[tex]k^{2}-64[/tex] > 0
[tex]k^{2}[/tex] > 64
[tex]\sqrt{ k^{2}}>\sqrt{64}[/tex]
k > 8
Therefore in order for the equation to have 2 distinct solutions is to have k > 8
(b²-4ac) > 0
where Z is an integer
(-k)²-4(2)(8) > 0
k²-64 > 0
k²>64
k>8
Therefore the sum of all values of k is infinite
3x/5=30 solve the equation
Answer:
Step-by-step explanation:
To solve equations like this you need to to get x by itself.
So, Let's multiply both sides by 5 to get rid of 5.
3x/5 *5 = 30 * 5
= 3x = 150
Now we divide both sides by 3 to get x by itself,
3x/3 = 150/3
x = 50
Answer:
x = 50Step-by-step explanation:
[tex]\frac{3x}{5}=30\\\\\mathrm{Multiply\:both\:sides\:by\:}5\\\\\frac{5\cdot \:3x}{5}=30\cdot \:5\\\\\mathrm{Simplify}\\\\3x=150\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\\frac{3x}{3}=\frac{150}{3}\\\\x = 50[/tex]
X2+14x=-7 what number must you add to complete the square
Answer:
49
Step-by-step explanation:
To find the number we add to both sides to complete the square, we do b divided by 2 all squared.
(b/2)²
In this case, we have b = 14
(14/2)²
7²
49
Answer: 49
Step-by-step explanation:
To complete the square, the second leading coefficient divided by 2 squared will give you the number need to add to both sides.
For example,
14 is the second leading coefficient in the so if you divide it by 2 you get 7 and 7 squared is 49.
Name the intersection of lines a and b
Answer:
W is the point of intersection of the lines 'a' and 'b'.
Step-by-step explanation:
Three points lying on line 'b' are points Y, Z and W.
Similarly, three points on line 'a' are points V, X and W.
Common point lying on both the lines 'a' and 'b' is W.
Therefore, point of intersection of the lines 'a' and 'b' is W.