Step-by-step explanation:
We simply multiply what there is to multiply:
10(1+a)^2 = 10a^2 + 20a + 10
Someone help pleaseeeee
Answer:
[tex]1. \: \: \: a = \frac{5}{7} \\ 2. \: \: \: 4 \\ 3. \: \: \: 15 {x}^{2} + 60x + 135 \\ 4. \: \: \: m = {75}^{o} \\ [/tex]
Step-by-step explanation:
[tex]1. \: \: 7a - 8 = 13 \\ 7a - 8 + 8 = 13 + 8 \\ 7a = 5 \\ \frac{7a}{7} = \frac{5}{7} \\ a = \frac{5}{7} \\ [/tex]
[tex]2. \: \: \: 4 = 2 \times 2 \\ 8 = 2 \times 2 \times 2 \\ 4 \\ [/tex]
[tex]3. \: \: \: 15 {(x + 3)}^{2} \\ 15(x + 3)(x + 3) \\15 (x + 3)(x + 3) \\ 15 |x(x + 3) + 3(x + 3)| \\ 15 ({x}^{2} + 3x + 3x + 9 )\\ 15( {x}^{2} + 6x + 9) \\ {15x}^{2} + 60x + 135 \\ [/tex]
[tex]4. \: \: \: m = {75}^{o} (opposite \: angles)[/tex]
Hazel bought 3/5 of a kilogram of clay for the students in her pottery class. She then divided the clay evenly into pieces that were 1/5 of a kilogram. Into how many pieces did Hazel divide the clay? Write your answer as a fraction or as a whole or mixed number.
Answer:
3
Step-by-step explanation:
3/5 kg of clay are divided into 1/5 a kilogram, so how many times is 1/5 in 3/5?
equation is
[tex]=\frac{3}{5} /\frac{1}{5}\\\\=\frac{3}{5}*\frac{5}{1} \\\\=\frac{15}{5} \\=3[/tex]
1.60x + 0.95(12)=23.40
solve for x
Find the perimeter of the window to the nearest tenth 10cm
Answer:
54 cm
Step-by-step explanation:
X/2 = Y/3 = Z/4. prove that :2X-Y+5Z / 3Y-X =3. note :: (/) is for a fraction aka divide. help pls I've been stuck on it for a few days
The given equation
x/2 = y/3 = z/4
can be broken into three separate equations which I'll call equations (A), (B) and (C)
x/2 = y/3 ..... equation (A)y/3 = z/4 .... equation (B)x/2 = z/4 .... equation (C)We'll start off solving for z in equation (C)
x/2 = z/4
4x = 2z ... cross multiply
2z = 4x
z = 4x/2 ... divide both sides by 2
z = 2x
Now let's solve for y in equation (A)
x/2 = y/3
3x = 2y
2y = 3x
y = 3x/2
y = (3/2)x
y = 1.5x
The results of z = 2x and y = 1.5x both have the right hand sides in terms of x. This will allow us to replace the variables y and z with something in terms of x, which means we'll have some overall expression with x only. The idea is that expression should simplify to 3 if we played our cards right.
We won't be using equation (B) at all.
---------------------
The key takeaway from the last section is that
z = 2xy = 1.5xLet's plug those items into the expression (2x-y+5z)/(3y-x) to get the following:
(2x-y+5z)/(3y-x)
(2x-y+5(2x))/(3y-x) ..... plug in z = 2x
(2x-y+10x)/(3y-x)
(12x-y)/(3y-x)
(12x-1.5x)/(3(1.5x)-x) .... plug in y = 1.5x
(12x-1.5x)/(4.5x-x)
(10.5x)/(3.5x)
(10.5)/(3.5)
3
We've shown that plugging z = 2x and y = 1.5x into the expression above simplifies to 3. Therefore, the equation (2x-y+5z)/(3y-x) = 3 is true when x/2 = y/3 = z/4. This concludes the proof.
When solving a system of equations graphically, when would you need to estimate the solution? Explain.
Answer:
25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
Is this relation a function? {(3, 2), (5, 9), (11, 25)}
Answer:
Yes
Step-by-step explanation:
None of the X values are the same number.
3 equivalent ratio to 9/2
Answer:
10/12 i took the test
Step-by-step explanation:
Answer:
18/4 , 27/6 , 36/8
Step-by-step explanation:
9 to 2 x 2 = 18 to 4
9 to 2 x 3 = 27 to 6
9 to 2 x 4 = 36 to 8
What is a2-b2 equal to?
Select all of the following that are ordered pairs of the given function.
ƒ(x) = 3 - 2x
(-2, -1)
(1, 0)
(2, -1)
(0, 3)
(-1, 5)
Answer:
(-2,-1)
Step-by-step explanation:
f(x)=3 - 2x
y = 3 - 2x
if x = - 2
y =3 - 2(-2)
= -1
Required ordered pair is (-2,-1)
Answer:Answer:
(-2,-1) (2,-1) (-1,5)
Step-by-step explanation:
f(x)=3 - 2x
y = 3 - 2x
if x = - 2
y =3 - 2(-2)
= -1
Required ordered pair is (-2,-1)
Step-by-step explanation:
See attachment for question
(7g+2)(5g+4)=
help please !
Answer:
35g^2+38g+8
Step-by-step explanation:
(7g+2)(5g+4)
35g^2+10g+28g+8
35g^2+38g+8
6 × 2 = ?
5 - 3 = ?
~~~~~~~~~~~
Hi i'm from Indonesian
Answer:
12
2
answer
hope it helps
Two times 3X times Y times 4Z times X times Y times Z
Answer:
24*(X^2)*(Z^2)*(Y)
Step-by-step explanation:
2*(3X)*(4Z)*(X)*(Y)*(Z)
2*(3X^2)*(4Z)*(Y)*(Z) [Combine like terms (X)]
2*(3X^2)*(4Z^2)*(Y) [Combine like terms (Z)]
24*(X^2)*(Z^2)*(Y) [Combine like terms (2*3*4)]
Write a function in any form that would match the graph shown below.
Answer:
(x-6)(x+5)^2 - 50
The function that would match the graph shown below is [tex]f(x) = k / (x^2 - 25)[/tex]
where k is a constant.
What is a function?
A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
One example of a function that has intercepts on (5, 0) and (-5, 0) and continues to negative infinity and positive infinity is:
[tex]f(x) = k / (x^2 - 25)[/tex]
where k is a constant that ensures the function continues to negative infinity and positive infinity.
To find the value of k, we can use one of the intercepts, say (5, 0):
0 = k / (5² - 25)
0 = k / 0
This tells us that k can take any value, as long as the denominator is not zero. So, we can choose any non-zero value for k.
For example, let's choose k = 1:
[tex]f(x) = 1 / (x^2 - 25)[/tex]
This function has intercepts on (5, 0) and (-5, 0) and continues to negative infinity and positive infinity.
Thus,
The function that would match the graph shown below is [tex]f(x) = k / (x^2 - 25)[/tex]
where k is a constant.
Learn more about functions here:
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Could anyone help out? It's 11pm and I have finals tmrw :/
For the given polynomial P(x) and the given c, use the remainder theorem to find P(c). 3 P(x) = 5x? - 2x2 – 3x+ 3; - 4
There i hope it help
Stay safe and study hard
A recursive rule for a geometric sequence is
a1 = 9; an = 2/3 (an−1)
What is the iterative rule for this sequence?
A.) an = 9 • (2/3)^n
B.) an = 2/3 • 9^n
C.) an = 9 • (2/3)^n-1
Answer:
C. [tex]a_n=(9)(\frac{2}{3})^{n-1}[/tex]
Step-by-step explanation:
Iterative geometric sequence:
[tex]a_n=a_1x^{n-1}[/tex]
Recursive geometric sequence:
[tex]a_n=xa_{n-1}[/tex]
The equations are very similar and you only really need to rearrange it. The factor (2/3) and the first term (9) are given, so you can write the iterative equation:
[tex]a_n=(9)(\frac{2}{3})^{n-1}[/tex]
And so the answer is C.
Write 110% as a mixed number in simplest form.
110% = $$
Answer:
50
Step-by-step explanation:
Please help I only have an hour.
Answer:
Slope (m) = [tex]\frac{y}{x} = \frac{2}{3} = 0.66666666666667[/tex]
Step-by-step explanation:
[tex]0 = arctan (\frac{y}{x}) = 33.69006752598°[/tex]
X = 4 – 1 = 3
Y = 4 – 2 = 2
[tex]Distance (d) = \sqrt{x^2+y^2}= \sqrt{13} =3.605551275464[/tex]
Equation of the line:
y = 0.66666666666667x + 1.3333333333333
or
[tex]y=\frac{2}{3}x+\frac{4}{3}[/tex]
When x=0, y = 1.3333333333333
When y=0, x = -2
determine whatever ABCD is a parallelogram by using the midpoint formula.
A(3,3) B (1.2) C(-3.1) D (-1.4)
Answer:
Not a parallelogram.
Step-by-step explanation:
By the midpoint formula, the midpoint of a segment between [tex](x_{0},\, y_{0})[/tex] and [tex](x_{1},\, y_{1})[/tex] is:
[tex]\begin{aligned} \left(\frac{x_{0} + x_{1}}{2},\, \frac{y_{0} + y_{1}}{2}\right)\end{aligned}[/tex].
A quadrilateral is a parallelogram if and only if the midpoints of the two diagonals are the same.
The two diagonals of quadrilateral [tex]{\sf ABCD}[/tex] are segment [tex]\sf{AC}[/tex] and segment [tex]{\sf BD}[/tex], respectively.
Using the midpoint formula, the midpoint of segment [tex]{\sf AC}[/tex] (between [tex]{\sf A}\; (3,\, 3)[/tex] and [tex]{\sf C}\; (-3,\, 1)[/tex]) would be:
[tex]\begin{aligned} & \left(\frac{3 + (-3)}{2},\, \frac{3 + 1}{2}\right) \\ =\; & (0,\, 2)\end{aligned}[/tex].
Likewise, the midpoint of segment [tex]{\sf BD}[/tex] (between [tex]{\sf B}\; (1,\, 2)[/tex] and [tex]{\sf D}\; (-1,\, 4)[/tex] would be [tex](0,\, 3)[/tex].
Thus, quadrilateral [tex]{\sf ABCD}[/tex] would not be a parallelogram since the midpoints of its two diagonals are not the same.
Simplify the variable expression below as much as possible.
X + 8 .z
Answer here
Answer:
It will stay at x + 8
Step-by-step explanation:
A river flows at the rate of 12 feet per minute. What is the rate in second per foot?
.
A liquid takes up space because it: _______. has a definite volume but no definite shape has a definite shape but no definite volume has no definite shape or volume will take up as much space as they can
Answer:
1, It has a definite volume but no definite shape.
Step-by-step explanation:
Volume is the amount of space that something takes up. A liquid can only take up a certain amount of space, but it's shape will always depend on what container it is in.
-3x + 4y = -15 and 4x - y = -19
4x - y = -19
=> -3x + 4y = -154(4x - y) = 4(-19)
=> -3x + 4y = -1516x - 4y = -76
=> 13x = -91=> x = -7Now, let's substitute the 'x' value in the equation.
=> -3(-7) + 4y = -15=> 21 + 4y = -15=> 4y = -21 - 15=> 4y = -36=> y = -9Conclusion:Therefore, the answers are:
x = -7y = -9Hoped this helped.
[tex]BrainiacUser1357[/tex]
Answer:
(-7, -9).
( x = -7 and y = -9)
Step-by-step explanation:
-3x + 4y = -15
4x - y = -19
Multiply second equation by 4:
16x - 4y = -76
Add this equation to the first to eliminate y:
13x = -15 + -76
13x = -91
x = -7.
Substitute this into equation 2:
4(-7) - y = -19
-y = -19 + 28
-y = 9
y = -9.
I don’t pay attention in classs Why are the plants in the picture classified as vascular?
A. They reproduce by seeds.
B. They grow in damp forests and along river banks.
C. They reproduce by spores.
D. They have tubes for carrying water and food.
Answer:
A
Step-by-step explanation:
Specifically, the various types of vascular plants are classified by whether they produce spores or seeds to make new plants. Vascular plants that reproduce by seed evolved highly specialized tissue that helped them spread across the land
What is the range of the given function?
Answer:
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. .The range is the resulting y-values we get after substituting all the possible x-values.
Step-by-step explanation:
EASY 25 POINTS
Please help me with this math problem it is due tomorrow.
Answer:
D
Step-by-step explanation:
Subtract. Use models if needed. (9x - 12) - (5x - 7)
[tex](9x - 12) - (5x - 7)\\\\=9x-12-5x+7\\\\=4x-5[/tex]
How do you write 750% as a fraction or mixed number
Answer:
750/100 or 7 1/2 whichever way u need
Step-by-step explanation:
Line g is dilated by a scale factor of 1/2 from the origin to create line g'. Where are points E' and F' located after dilation, and how are lines g and g' related?
(See attatchment)
ANSWER OPTIONS:
A- The locations of E' and F' are E' (−8, 0) and F' (0, 4), and lines g and g' intersect at point F.
B- The locations of E' and F' are E' (−4, 0) and F' (0, 2), and lines g and g' are the same line.
C- The locations of E' and F' are E' (−2, 0) and F' (0, 1), and lines g and g' are parallel.
D- The locations of E' and F' are E' (−1, 0) and F' (0, 0), and lines g and g' are not related.
Answer:
The locations of E' and F' are E'(-2,0) and F'(0,1), and lines g and g' are parallel.
Step-by-step explanation:
I got it right on my test! :)
The locations of E' and F' are E' (−2, 0) and F' (0, 1), and lines g and g' are a parallel option (C) is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
As we know,
The dilation is transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller. The image created by this transformation is identical to the original shape.
From the graph:
The coordinate for E and F are:
E = (-4, 0)
F = (0, 2)
The scale factor = 1/2
E' = (-4/2, 0) = (-2, 0)
F' = (0, 2/2) = (0, 1)
Thus, the locations of E' and F' are E' (−2, 0) and F' (0, 1), and lines g and g' are a parallel option (C) correct.
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