Answer:
1/4 * 2/3 = 2/12 = 1/6 = .1666 = 16.6%
Step-by-step explanation:
resolute academy algebra 1
Answer:
C. 2(x + 10)(x - 10)
Step-by-step explanation:
[tex]2x^2-200\\2(x^2-100)\\2(x+10)(x-10)[/tex]
Select the polynomial that is a perfect square trinomial.
9x^2 + 9x + 1
36b^2 − 24b + 8
16x^2 + 24x + 9
4a^2 − 10a + 25
Answer: 16x^2 + 24x + 9
Step-by-step explanation:
Simplified version: (4x+3)^2
PLEASE SOMEONE HELP ME ANSWER THIS !!!!
Write the equations of the linear and exponential functions that pass through the points (0, 15) and (1, 5)
Linear Equation, y = mx+b
Exponential Equation, y = a(b)^x
PLEASE ANSWER IT I HAVE AN IMAGE ATTACHED IF NEEDED !!!!
Step-by-step explanation:
Part A: Linear Equation.
One of the points is (0,15). This means 0,15 is the y intercept so b=15.We can find the slope
[tex] \frac{5 - 15}{1 - 0 } = \frac{ - 10}{1} = - 10[/tex]
So our equation is
[tex]y = - 10x + 15[/tex]
Part B: Exponential Equation
We know that
[tex]15 = a \times b {}^{0} [/tex]
B to the zero power is 1 so
[tex]15 = a[/tex]
This means a =15. Now let find b.
[tex]5 = 15 \times b {}^{1} [/tex]
[tex] \frac{1}{3} = b[/tex]
So the equation is
[tex]y = 15( \frac{1}{3} ) {}^{x} [/tex]
what is the answer?
Answer:
Not similar.
Step-by-step explanation:
The answer is D.
Find the value of f(x) at the given value of x: f(x) = (x -4)(x + 3), x = 3
Answer:
-6
Step-by-step explanation:
f(x)= (3- 4)(3+3)
=( -1 )(6)
= -6
HURRY!!!!! HELP PLEASE!!!! NO SPAM!!!!!!!!!There are two identical oil tanks. The level of oil in Tank A is 6 ft and is drained at the rate of 0.5 ft/min. Tank B contains 10 ft of oil and is drained at the rate of 1 ft/min. After how many minutes will the level of oil in the two tanks be the same?
Answer:
8 munutes
Step-by-step explanation:
let :
x is the final level for both tanks (in ft) and
t is the time (in minutes)
the equation :
x = 6 - 0.5 t (eq.1)
x = 10 - 1t (eq.2)
eq. 1 = eq. 2
=>
6-0.5t = 10-1t
1t - 0.5t = 10-6
0.5t = 4
t = 4/0.5 = 8
t = 8 minutes
Answer: 8 minutes
Step-by-step explanation:
Write an equation for the level of oil in each tank.
Let t = the number of minutes.
Tank A: y = 6 − 0.5t
Tank B: y = 10 − 1t
Solve the system by using a table of values
When t = 8 minutes, the level in both tanks will be at 2 feet.
Which expression is equivalent to 4 + 36x?
Answer:
A
Step-by-step explanation:
4(1)+4(9x)=4+36x
HELP PLEASE SO I CAN MOVE ON
find the measure of the indicated angle to the nearest degree
Answer:
16
Step-by-step explanation:
[tex] \tan(x) = \frac{13}{46} [/tex]
[tex] \tan {}^{ - 1} ( \frac{13}{46} ) = 16[/tex]
how do you solve for y?
Solve the inequality 2x – 22 < -8.
2x - 22 < -8
Add 22 to both sides
2x < 14
Divide both sides by 2
X < 7
Answer:
[tex]2x-22<-8[/tex]
Add 22 to both sides
[tex]2x-22+22<-8+22[/tex]
[tex]2x<14[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}<\frac{14}{2}[/tex]
[tex]x<7[/tex]
OAmalOHopeO
What is a linear system?
Answer:
Linear systems are systems of equations in which the variables are never multiplied with each other but only with constants and then summed up
Select the correct answer from each drop-down menu.
Write the functions represented by the graphs.
Answer:
f(x) = |x|
g(x) = |x| - 2
h(x) = |x| + 3
Answer:
CORRECT
Step-by-step explanation:
Find the first three terms of the sequence below. 3n^2+5n−2
Answer:
-2, 6, 20 ,...
Step-by-step explanation:
3n² +5n -2
if n=0 , then 3*0² +5*0 -2= -2
if n=1, then 3*1² +5*1 -2 = 3+5-2 = 6
if nu 2, then 3*2² +5*2 -2 = 12 +10 -2 = 20
Use the distributive property to write an expression that is equivalent to the sum of 9 and 54.
9(1+6)
919+6)
9(1 +54)
9(1) + 9(54)
Answer:
9(1 +6)
Step-by-step explanation:
9 = 9 * 1
54 = 9 * 6
9 + 54 = (9*1 ) + (9*6) {9 is common in both terms}
= 9*(1 + 6)
Find H.C.F
a2-25 and a2-12a+35
Step-by-step explanation:
Explanation is in the attachment
Hope my answer is helpful to you ✌️❣️☪️❇️❇️☪️❣️✌️
Martas school has 325 desks for 13 classrooms . If the desks are shared evenly how many desks will each classroom have
Answer:
25
Step-by-step explanation:
A cube with a volume of 216 cubic feet has all but the top and bottom faces painted. What is the total area of the two unpainted sides?
The volume of a cube is Side ^3
Find the cubic root of the volume to find the side length:
Side = cubicroot(216) = 6 feet.
The area of a face of a cube is s^2
Area of a face = 6^2 = 36 square feet.
Area of 2 faces = 36 x 2 = 72 square feet
Answer: 72 square feet
Answer:
72 ft²
Step-by-step explanation:
To find the length of each side we have to cube root the volume
∛216 = 6
We only have to find the areas for two faces (the top and bottom)
6 x 6 = 36 = area for one face
36 x 2 = 72 = area for two faces
Find the remainder when the polynomial 9x2 - 4x - 7 is divided by x - 3.
Answer: 62
Step-by-step explanation:
[tex]\displaystyle\bf 9x^2-4x-7 =0 \\\\ Synthetic \ \ division\ \ if \ \ x-3 =0 => x=3 \\\\ then \ \ 3| \underline{ \ 9 \ | \ -4 \ | \ -7 \ | } \\\\ . \!\! \qquad\qquad +|3*9| \ \ 23*3 | \\ .\!\!\!\!\!\1 \qquad \qquad \qquad | \ 23 \ | \ \ \ \boxed{62}[/tex]
which kind of triangle is shown?
A. Acute isosceles
B. Right scalene
C. Right isosceles
D. Acute scalene
Answer: B
Step-by-step explanation:
Acute isosceles: angle less than 90, 2 equal sides
Right scalene: right angle, different side lengths
RIght isosceles: right angle, 2 equal sides
Acute scalene: angle less than 90, different side lengths
solve. x/2 + 1/3 greater than 0
Answer:
x > -2/3
Step-by-step explanation:
[tex]\frac{x}{2} +\frac{1}{3} > 0[/tex] , subtract 1/3 from both sides
[tex]\frac{x}{2} > \frac{-1}{3}[/tex] , multiply both sides by 2
[tex]x > \frac{-2}{3}[/tex]
Phythagorean theorem help plsss rnnn
Answer:
8 m
Step-by-step explanation:
Diagonal: Hypotenuse
Let the hypotenuse (diagonal) be c, Stafford street be a, and let Silvergrove Avenue be b.
Formula: a^2 + b^2 = c^2
Lets plug them in!
6^2 + b^2 = 10^2
36 + b^2 = 100
b^2= 100 - 36
b^2 = 64
64 is the exponential value of b, meaning to lower it to its original terms, we apply the opposite of squaring. Which is finding the square root.
[tex]\sqrt{64}[/tex] = 8
Therefore Silvergrove Avenue is 8 m.
Answer:
8
Step-by-step explanation:
Pythagorean Theorem: a^2 + b^2 = c^2
c (the hypotenuse, or longest leg) = 10, a or b = 6
6^2 + b^2 = 10^2
36 + b^2 = 100
b^2 = 64
b = 8
QUICK PLZ!!!!! Which graph shows the result of dilating this figure by a factor of One-third about the origin? On a coordinate plane, triangle A B C has points (negative 6, 6), (6, 6), (6, negative 6). On a coordinate plane, triangle A prime B prime C prime has points (negative 2, 2), (2, 2), (2, negative 2). On a coordinate plane, triangle A prime B prime C prime has points (negative 3, 3), (3, 3), (3, negative 3). On a coordinate plane, triangle A prime B prime C prime has points (Negative 18, 18), (18, 18), (18, negative 18). On a coordinate plane, triangle A prime B prime C prime has points (negative 12, 12), (12, 12), (12, negative 12).
Answer:
[tex]A' = (-2,2)[/tex]
[tex]B' = (2,2)[/tex]
[tex]C' = (2,-2)[/tex]
Step-by-step explanation:
Given
[tex]A = (-6,6)[/tex]
[tex]B = (6,6)[/tex]
[tex]C = (6,-6)[/tex]
[tex]k = \frac{1}{3}[/tex]
Required
The new coordinates
To do this, we simply multiply the coordinates of [tex]\triangle ABC[/tex] by the factor of dilation.
i.e.:
[tex]A' = A * k[/tex]
[tex]B' = B * k[/tex]
[tex]C' = C * k[/tex]
So, we have:
[tex]A' = (-6,6) * \frac{1}{3}[/tex]
[tex]A' = (-2,2)[/tex]
[tex]B' = (6,6) * \frac{1}{3}[/tex]
[tex]B' = (2,2)[/tex]
[tex]C' = (6,-6) * \frac{1}{3}[/tex]
[tex]C' = (2,-2)[/tex]
The polygons in each pair are similar. Find the missing side length.
Answer:
12
Step-by-step explanation:
We can say that two polygons are similar to each other if both of the polygons have the same shape and their corresponding sides are in the same proportion, hence the ratio of their corresponding sides are equal to each other.
As we can see from the problem since both of the polygons are similar, hence the ratio of their corresponding sides are in the same proportion, therefore let x represent the missing length, hence:
[tex]\frac{x}{15} =\frac{32}{40} =\frac{32}{40} \\\\\frac{x}{15} =\frac{32}{40} \\\\x=\frac{32*15}{40} \\\\x=12[/tex]
Greater than (-3) but less than or equal to 3
Answer:
-3 < x <= 3
Step-by-step explanation:
draw it on a number line to check
Answer:
-3>x[tex]\leq \\[/tex]3
Step-by-step explanation:
> is the greater than
< is the less than
hope this helped have a great day
Instructions: Find the missing length
Solve the following inequality: |2x|<14 A. 7
Answer:
x<7
Step-by-step explanation:
it just is
Answer:
x > 7
x < -7
Step-by-step explanation:
Absolute value inequalitiy entered
|2x| > 14
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |2x|
For the Negative case we'll use -(2x)
For the Positive case we'll use (2x)
-(2x) > 14
Multiply
-2x > 14
Divide both sides by 2
-x > 7
Multiply both sides by (-1)
Remember to flip the inequality sign
x < -7
Which is the solution for the Negative Case
(2x) > 14
Divide both sides by 2
x > 7
Which is the solution for the Positive Case
x < -7
x > 7
(-∞,-7)
(7,+∞)
Solve simultaneous equations 3x-2y=17 +2x-2y=10
Answer:
(7;2)
Step-by-step explanation:
[tex]3x - 2y = 17 \\ - 2y = 17 - 3x \\ 2x + 17 - 3x = 10 \\ 2x - 3x = 10 - 17 \\ - x = - 7 \\ x = 7 \\ - 2y = 17 - 21 \\ - 2y = - 4 \\ y = 2[/tex]
what are examples of like terms
Answer:
7x and 2x. 3x^2 and -7x^2.
Step-by-step explanation:
7x and 2x both have x. 3x^2 and -7x^2 both have x^2.
Is the following number rational or irrational?
13
12
Choose 1 answer:
А
Rational
B
Irrational
Answer: Rational
This is because the number is in the form P/Q where P and Q are integers
We have P = -13 and Q = 12.
You can think of "rational" as in "ratio" which is very closely tied to fractions. Any rational number is a fraction of two integers. The denominator can never be zero.
Answer:
Rational
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
Decimal form: − 1.08 3
3 repeats itself, so it's rational.
write following ratio in simplest form :
125 g : 1 kg
Answer:
125g:1Kg
=> 125g : 1000g
=> 1:4Answer:
1:8
Step-by-step explanation:
125 g:1 kg
125g:1000 g
1 g:8 g
Keep smiling and hope u will be satisfied with my answer.Have a good day :)