Answer:
y = -5x-9
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
10x + 2y = -18
Subtract 10x from each side
10x + 2y-10x =-10x -18
2y = -10x-18
Divide each side by 2
2y/2 = -10x/2 -18/2
y = -5x-9
The width of classroom is 4 meters less than the length, and the area is 192m^2. If the length is x m, find an equation in x and hence, find the dimensions of the classroom
Step-by-step explanation:
x(x-4) = 192
the Equation:
x²-4x -192 =0
=> (x-16) (x+12) =0
x= 16 or x= -12
since the x should be a possitive, so x = 16
the dimension :
the length = 16 m
the width = 12 m
find the area for this figure
CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.
Answer: 3 7/12
Step-by-step explanation:
1. Solving the whole number
4-1=3
2. Solving the fraction parts
3/4 - 1/6=
Find the LCM. The LCM is 12 so we rewrite the factions like this:
9/12-2/12=7/12
3. Add.
3+ 7/12= 3 7/12
Hey there!
4 3/4 - 1 1/6
= 19/4 - 7/6
= (19 × 6) - (7 × 4) / 4 × 6
19 × 6 = 114
7 × 4 = 28
= 114 - 28 / 4 × 6
4 × 6 = 24
114 - 28 / 24
114 - 28 = 86
= 86/24
= 3 7/12
Answer: 86/24 OR 3 7/12
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Round 27834 to 2 significant figures
28000 is the answer.
you count two numbers from front and approximate
What are the zeros of the quadratic function f(x) = 2x2 – 10x – 3?
Answer:
[tex]x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}[/tex]
Step-by-step explanation:
[tex]2x^2 - 10x - 3 = 0 \\\\a = 2 \ , b = - 10 \ , \ c = - 3 \\\\x = \frac{-b^2\ \pm \ \sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{10 \ \pm \sqrt{(-10)^2 - ( 4 \times 2 \times -3)} }{2 \times 2}\\\\x = \frac{10 \ \pm \sqrt{(100 - ( -24 )} }{4}\\\\x = \frac{10 \ \pm \sqrt{(100 + 24 } }{4}\\\\x = \frac{ 10 \ \pm \sqrt{124}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{4 \times 31}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{2^2 \times 31}}{4}\\\\x = \frac{ 10 \ \pm2 \sqrt{31}}{4}\\\\x = \frac{ 5 \ \pm\sqrt{31}}{2}\\\\[/tex]
[tex]x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}[/tex]
Multiply the rational expressions 2x^2 - 4x - 6 x^2 - 4 ——————- • ——————— x + 2 2x^2 + 2x
Answer:
C =(x-3)(x-2)/x
or
x²-5x+6/x
Step-by-step explanation:
2x^2 - 4x - 6/x + 2 * x^2 - 4/2x^2 + 2x
Factorizing the given factors
1) 2x^2 - 4x - 6
= 2x^2 - 6x+2x - 6
= 2x(x-3) +2(x-3)
= (x-3)(2x+2)
2) x^2 - 4
= (x+2) (x-2)
3) 2x^2 + 2x
= 2x( x+1)
Putting the factors
(x-3)(2x+2)/x + 2 * (x+2) (x-2)/2x( x+1)
= (x-3)(2x+2) (x-2)/2x( x+1)
= 2(x-3)(x+1) (x-2)/2x( x+1)
=(x-3)(x-2)/x
Now multiply
(x-3)(x-2) =x²-5x+6
Then the answer becomes x²-5x+6/x
What is the value for the expression (-5)(3 + 4) ?
Answer:
-35
Step-by-step explanation:
Since there are parentheses, you start with that. 3+4=7
Now, -5 x 7 =-35
Answer:
-35
hope this helps
have a good day :)
Step-by-step explanation:
3+4=7
-5 x 7=-35
Please help me.
The table below represents the closing prices of stock ABC for the last five
days. Using your calculator, what is the equation of linear regression that fits
these data?
Answer:
Step-by-step explanation:
I can tell you how to do this on your calculator, but I have no idea what kind of calculator you have and the methods are different for the various TI graphing calculators, so I'll just tell you that your answer is the last choice given. It's a terrible fit, but if the instructions say linear, the last choice is the equation that the calculator gives.
The regression equation for Y is: ŷ = -0.223X + 20.523
What is Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Sum of X = 15
Sum of Y = 99.27
Mean X = 3
Mean Y = 19.854
The sum of squares (SSX) = 10
The sum of products (SP) = -2.23
Regression Equation = ŷ = bX + a
b = SP/SSₓ = -2.23/10 = -0.223
a = My - bMₓ = 19.85 - (-0.22*3) = 20.523
ŷ = -0.223X + 20.523
Learn more about Linear equations here:
https://brainly.com/question/11897796
#SPJ5
ONI
Write the following ratios in their simplest form:
100 minutes: 1-hours
2
15m: 1050cm
9min : 600seconds
125
(iv)
1000
efine the following terms
Common fraction
Answer:
1. 5 min : 3 min
2. 10 cm : 7 cm
3. 9 sec : 10 sec
Step-by-step explanation:
1. Since 60 minutes = 1 hour
Thus;
100 minutes : 60 minutes
10 minutes : 6 minutes
5 minutes : 3 minutes
The simplest form = (5:3) minutes
2. 100 cm = 1 m,
⇒ 15 m = 15 x 100 cm = 1500 cm
Thus;
1500 cm : 1050 cm
150 cm : 105 cm
30 cm : 21 cm
10 cm : 7 cm
The simplest form = (10:7) cm
3. 60 seconds = 1 minute
⇒ 9 minutes = 9 x 60
= 540 seconds
Thus;
540 seconds : 600 seconds
54 seconds : 60 seconds
9 seconds : 10 seconds
The simplest form = (9:10) seconds
4. A common fraction is one that has the same value on each side of an expression or equation.
What is the area of the trapezoid shown below?
Answer:
18 units²
Step-by-step explanation:
Solve for height:
4² + x² = 5²
16 + x² = 25
9 = x²
x = 3
Solve for area:
Formula = (base1+base2)h / 2
(4 + 8)* 3 ÷ 2
12 * 3 ÷ 2
36 / 2 = 18
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Hallar el menor número no divisible por 4, 6, 9, 11 y 12, tal que al dividirlo por estos números se obtengan restos iguales.
Answer:
397
Step-by-step explanation:
Sea 'p (x)' el número que no es divisible por 4, 6, 9, 11 y 12 de manera que cuando se divide por estos números da un resto igual, tenemos;
Por teorema del resto, tenemos;
p (x) = (x - a) · Q (x) + R
Dónde;
p (x) = El número, que se divide
Q (x) = El cociente
(x - a) = El divisor
R = El resto
Dado que el número más pequeño es 4, el resto, 0 <R <4
Para el número entero más pequeño arriba (x - a) · Q (x), tenemos;
R = 1
Observamos que el mínimo común múltiplo de 4, 6, 9, 11 y 12 = 396, por lo tanto, podemos tener;
(x - a) · Q (x) = 396
R = 1, dar;
p (x) = 396 + 1 = 397
Por lo tanto;
El número que no es divisible por 4, 6, 9, 11 y 12, de manera que cuando se divide por estos números da residuos iguales, p (x) = 397
if h(x)=x-7 and g(x)= x^2, which expression is equivalent to (goh)(5)
Answer:
(goh)(5) = 4
Step-by-step explanation:
(goh)(x) = g(x-7)
g(x-7) = (x-7)^2
g(x-7)= x^2 - 14x + 49
(goh) = x^2 - 14x + 49
(goh)(5) = 5^2 - 14(5) + 49
(goh)(5) = 25 - 70 + 49
(goh)(5) = 4
The total perimeter of a square shaped
garden is of a meter. Find the dimensions of the
garden.
Please helppp I need it fasttttttt
Answer:
this makes no sence
Step-by-step explanation:
you did no include any of the details needed
A man owes rs 4000 in 4 years and rs 3400 due in 6 years. His creditor agreed for him to pay debts with a payment of rs 3000 in 3 years and the remainder in 8 years. If money is worth 7% compounded quarterly, the amount of the second payment is?
Answer:
15000 loan
Step-by-step explanation:
Suppose comparison date = 8 years
Hope this answer helps you :)
Have a great day
Mark brainliest
A sign has 3 identical parallelogram-shaped stripes as shown. Charles must
outline each stripe with reflective tape. Is one roll of 86 inches of tape enough to
finish the job? Explain.
Answer:
it looks like the length of one of the parts is
Step-by-step explanation:
sqrt(125) from 10^2 +5^2 = sqrt(125) using the pathogen Therom since the 3 lines are identical since they are parallel you multiply sqrt(125) by 3
so 3×sqrt(125)=33.54 inches of tape which is way less then than 86
Find the volume of a right circular cone that has a height of 20 ft and a base with a
radius of 9.1 ft. Round your answer to the nearest tenth of a cubic foot.
Someone help me with this ASAP pls . I need to know “how do we know that <3~=<6
Answer:
Alternate Interior Angles
Step-by-step explanation:
They are alternate interior angles. The reason this works is because 4 is opposite to 3, meaning that 4 is equivalent to the value of (180-Angle3)
Meanwhile 6 is equivalent to (180-Angle5). Angle 5 is the same value is Angle 4.
Solve.
5. The graph of f(x)= x is reflected across the x-axis. The graph is then
translated 11 units up and 7 units to the left. Write the equation of the
transformed function.
Given:
The function is:
[tex]f(x)=x[/tex]
The graph of this function reflected across the x-axis. The graph is then translated 11 units up and 7 units to the left.
To find:
The equation of the transformed function.
Solution:
The translation is defined as
[tex]g(x)=kf(x+a)+b[/tex] .... (i)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If k<0, then the graph is reflected across the x-axis.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
The graph of this function reflected across the x-axis. The graph is then translated 11 units up and 7 units to the left. So, [tex]k=-1, b=11, a=7[/tex]. Putting these value in (i), we get
[tex]g(x)=(-1)f(x+7)+11[/tex]
[tex]g(x)=-(x+7)+11[/tex] [tex][\because f(x)=x][/tex]
[tex]g(x)=-x-7+11[/tex]
[tex]g(x)=-x+4[/tex]
Therefore, the required function is [tex]g(x)=-x+4[/tex].
What is the least number of apples that can be shared equally among either 6, 10 or 15 children?
Answer:
If you mean with out splitting up the apple then we could just give one apple to each child so it would look like this
6 children 6 apples
10 children 10 apples
15 children 15 apples
PLEASE HELP IM LITERALLY BEGGING YOU
Amanda pays $115.00 for shoes
that are 20% off at Everything Shoes.
At Best Footwear, the same shoes
are 15% off, which makes them cost
$7.00 less than their pre-sale price at
Everything Shoes.
What was the original cost for the
shoes at Best Footwear?
Answer:
Step-by-step explanation:
Everything Shoes:
E * 0.8 = 115
E = 115/.8 = $143.75
~~~~~~~~~~~~~~~~
B * 0.15 = 7
B = 7/.15
B = $46.67
test the validity of these statement "if my brother stands first in the class, i give him a watch . Either he stood first or I was out of the station I did not give my brother a watch this time . Therefore I was out of station.
Answer: yeah looks logically correct
Step-by-step explanation: I he got the watch he was 1st
Fact is he didn't get the watch therefore he wasn't first
Therefore 2nd holds true also - if not first then not in station
No watch = not in station
Please help!
Find the length of the triangle.
Answer: 12.
Step-by-step explanation: Use Pythagorean Theorem. We that a = 9, b = ?, and c = 15. Plugging that in gives us 9^2 + b^2 + 15^2. Solving for b gets us b^2 = 144. Taking the square root of both sides gets us b = 12.
Write an equation of the line that passes through the point (2, -3) and has a
slope of -1.
Answer:
Y = -1x - 1
Step-by-step explanation:
I used desmos graphing calculator and tried until I got a line that worked. It passes through (2, -3) and has a slope of -1
Hope this helped :)
hiiii ^-^ need help again with some math ikr math sucks -v-
Answer:
5a) -8 . Plan : addition/negative?
5b) -30 . Plan: subtraction/negative?
Step-by-step explanation:
Im not so sure about what "Plan" means, hopefully you know..
5a)
-15 + 7 = 7 - 15 = -8
5b) -10 +(-20) = -10 - 20 = -30
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
Below
Step-by-step explanation:
So lets start with the first one:
-15+7
We are going to add these together, and will get -8.
Next we have:
-10+(-20)
When there is both a subtraction or negative sign, and a plus sign, the plus sign is removed.
So we can think of this as:
-10-20
And since the -10 is negative, and we are subtracting it, it is going to get more engative:
-10-20=-30
This is the solution answer.
I do not know what the answer to the plan is, i dont understand what plan means.
Hi can someone please help me with this thanks
You pick a card at random.
6 7 8 9
What is P(9)?
Write your answer as a fraction or whole number?
Answer:
1/4
Step-by-step explanation:
There are 4 cards
P(9) = number of 9's / total cards
= 1/4
Assuming there are only four cards, and each card has the number from the list given, the value of P(9) is 1/4. This is because there is one card we want out of 4 total.
Answer: 1/4help with the question below please!!
Answer:
a.= 24 b.=-21 c. is x=-7 or 3
Step-by-step explanation:
Step-by-step explanation:
a) f(5)= 5² + 4 x 5 -21
=24
b) f(0)= 0² + 4 x 0 -21
= -21
c) f(x)= 0
=> x² + 4x -21 =0
=> x = 3, x= -7
NEED ASAP NOWWWWWW TY
Answer:
subtract 8 from both sides
Step-by-step explanation:
Ryan took a hike on sunday. he hiked uphill for 15 minutes. then he hiked another River for 12 minutes. he hiked downhill for 8 minutes along a river for 5 minutes. how many seconds did Ryan hike on Sunday? plz help
Answer:
2400 seconds
Step-by-step explanation:
Answer:
40 min = 2400 sec
Step-by-step explanation:
Whats 8^6 ÷ 8 pls ty :D
Answer:
[tex] {8}^{6} \div 8 \\ = {8}^{6} \div {8}^{1} \\ = {8}^{(6 - 1)} \\ = {8}^{5} [/tex]
Answer:
[tex]8^{5}[/tex] or 32768
Step-by-step explanation:
When dividing exponents, you subtract the exponent on the top from the one on the bottom:
[tex]8^{6}[/tex]/[tex]8^{1}[/tex] = [tex]8^5[/tex] because 6-1 = 5