Answer:
[tex]16^{2} - 9[/tex]
Step-by-step explanation:
[tex](4x + 3)(4x - 3)[/tex]
Step 1: Multiply [tex]4x[/tex] to [tex](4x - 3)[/tex], you get, [tex]16x^2 -12x[/tex]
Step 2: Multiply [tex]3[/tex] to [tex](4x - 3)[/tex], you get, [tex]12x - 9[/tex]
[tex]16x^2 - 12x +12x - 9[/tex]
Step 3: add or subtract the numbers with the same variables together
[tex]16x^2 - 9[/tex] is your final answer
The expression simplified after the multiplication is 16x² - 9.
What is an algebraic expression?In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression. The multiplication of (a+b) and (a-b) is given by:
(a+b)(a-b) = a² - b².
The given expression is (4x + 3)(4x-3).
Simplify the expression:
(4x + 3)(4x-3)
= 16x² - 9
Hence, the expression simplified after the multiplication is 16x² - 9.
Learn more about algebraic expressions here:
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If it costs $16.50 to bowl twice with a shoe rental and $28.50 to bowl 4 times with a shoe rental how much does the shoes cost
Answer:
Shoe rent is $4.5
Step-by-step explanation:
Let the shoe rent is "x" which will remain the same irrespective of the number of bowling and "y" is bowling.
thus, x + 2y = 16.50
Rewrite, x = 16.50 - 2y
When bowling is 4 time then:
x + 4y = 28.50
Rewrite, x = 28.50 - 4y
Now solve both equations for the value of "y".
Thus, 16.50 - 2y = 28.50-4y
-2y + 4y = 28.50 - 16.50
2y = 12
y = 6
Insert y = 6 in the x - 2y = 16.50
x = 16.50 - 2y
x = 16.50 - 2 (6)
x = $4.5
Shoe rent is $4.5
Find the product mentally.
(r - s)^2
A) r^2 - 2 rs + s^2
B) r^2 - rs + s^2
C) 2 r^2 - rs - s^2
Step-by-step explanation:
A is the answer to the question
A) r^2 - 2rs+s^2
...............................
plzz help everything is due tonight! 29 pointssss
Answer:
Step-by-step explanation:
given= -3(2n-3)=25-8n
distributive property=-6n+9=25-8n
subtraction property= 2n+9=25
division property =2n=16
n=8
If y varies directly as x, and x=9 when y =15, find the value of y when x=33
Answer:
y = 55
Step-by-step explanation:
Direct variation is
y = kx where k is a constant
15 = k*9
15/9 =k
5/3 = k
The equation is y = 5/3 x
Let x = 33
y = 5/3 * 33
y = 55
Find the 15th term in the following arithmetic sequence : 1, 6, 11, 16, ...
Hint: Write a formula to help you. 1st term + common difference(desired term - 1)
Answer:
a₁₅ = 71
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 1 and d = 6 - 1 = 5 , then
a₁₅ = 1 + (14 × 5) = 1 + 70 = 71
Step-by-step explanation:
hear is your answer in attachment
Which of the following is acceptable justifications to use in geometry when justifying statements about segments and
angles?
A Theorems, Defintions, Postulates, Conjectures
B. Patterns, Defintions, Conjectures, Assumptions
C. Theorems, Defintions, Assumptions, Properties
D. Theorems, Defintions, Postulates, Properties
Please select the best answer from the choices provided
ОВ
оооо
ОС
Answer:
D.
Theorems, Defintions, Postulates, Properties
Step-by-step explanation:
Solve the following system by using substitution.
4x+2y=18
y=x+3
What is the image of (-8,-8) after dilation by a scale factor of {1/4} centered at the origin?
Answer:
(-2, -2)
Step-by-step explanation:
To scale a factor by 1/4, you just need to divide the numbers by 4, or multiply them by 1/4.
-8/4=-2
Answer:
It would be (-2, -2)
Which graphs present functions?
A. graph B and D
B. graph A only
C. graph D only
D. graph C and graph D
What is the length of CD???
Help Please... 15 points :)
Answer:
√100 = 10, √36 = 6, √225 = 15
Step-by-step explanation:
100 can be made by 10^2 (10 x 10), 36 has factors of 6 and can be made by 6^2, and 225 can be made by 15^2.
[tex] \sqrt{100} = \sqrt{10 \times 10} [/tex] = [tex]\boxed{10}[/tex]
[tex] \sqrt{36} = \sqrt{6 \times 6} [/tex] = [tex]\boxed{6}[/tex]
[tex] \sqrt{225} = \sqrt{15 \times 15} [/tex] = [tex]\boxed{15}[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]
A rectangle has a length of 2x+7 and a width of 3x+8.
Write and simplify an expression for the perimeter of that rectangle
Answer:
2(2x+7)=4x+14
2(3x+8)=6x+16
4x+14+6x+16
4x+6x+14+16
The answer is:
10x+30
HELP FAST LOL HAHAHAH
Answer:
184
Step-by-step explanation:
First, note that the sides that are opposite to each other are congruent (this will come into play in a second). We can find the area of each triangle by doing 0.5(b)(h) (aka half * base* height). Since we've established tha opposite sides are congruent and the triangles are opposite to each other, they must be congruent. That means that the area is going to be the exact same for both triangles. So, we get the expression (0.5)(6)(4)(2), which comes out to 6*4 = 24. Then, to find the area of the 2 rectangles that are the sides, just do 5*10*2 = 100 square meters for both rectangles combines. Lastly, we need to find the area of the floor. The dimensions of the floor are 6 and 10, so we just do 6*10 = 60. Now, add all those numbers together. We get 100+60+24 = 184. Hope this helps! Let me know if anything is still confusing.
Quadrilateral R S T Q is shown. Angle R is 132 degrees, angle Q is 56 degrees, and angle T is 79 degrees.
What is the measure of angle S?
48o
56o
93o
101o
Answer:
C) 93o
Step-by-step explanation:
Trust the process
edge 2021
Answer:
Got a 100% on the Unit Test on Edge and 93 is the correct answer like the person above added! :D
Pls help ahahahhahaha
Step-by-step explanation:
x=30° { ins angle inscribed angle Standing on arc are equal }
hope it helps
stay safe healthy and happy...Solve the following for y: 4x + 2y = −2 (5 points)
y = −2x + 1
y = 2x + 1
y = −2x − 1
y = 2x − 1
Answer:
Step-by-step explanation:
4x + 2y = −2
Divide by two on both sides
2x+y = -1
subtract 2x from both sides
y = -1 -2x = -2x -1
Answer:
y = -2x - 1
Step-by-step explanation:
4x + 2y = -2
→ Minus 4x from both sides
2y = -4x - 2
→ Divide both sides by 2
y = -2x - 1
A school survey asked students which candidate they supported for class president. the survey data are shown in the relative frequency table.
Answer:
C. 24%
Step-by-step explanation:
hope it works
Answer:
39%
Step-by-step explanation:
Please help its due at 11 am
Answer:
maximum
Step-by-step explanation:
This graph has a maximum because the parabola faces downwards. If the parabola faced upwards, then the graph would be minimum.
Hope this helps
Answer:
Maximum so sorry if Wong
What is the measure of Rsl?
Answer:
x = 13
Step-by-step explanation:
[tex](9x + 27) = (6x + 66) \\ 9x - 6x = 66 - 27 \\ 3x = 39 \\ x = \frac{39}{3} \\ x= 13 [/tex]
what percent of 80 is 42
Answer:
52.5 percent of 80 is 42.
is 25/4 grater then 40/8
Answer:
yes it is greater:)
[tex]\huge\textsf{Hey there!}[/tex]
“[tex]\rm{Is \ \dfrac{25}{4} \ greater \ than \ \dfrac{40}{5}?}[/tex]”
[tex]\rm{In \order\ to \ find\ out \ which \ one \ is \ bigger, you \ can \ divide \ both \ fractions\ and\ you}\\\rm{can\ turn \ them \ into \ a \ decimal }[/tex]
[tex]\rm{\dfrac{25}{4}=\boxed{\rm{\bf 6.25}}}\large\checkmark[/tex]
[tex]\rm{\dfrac{40}{5}=\boxed{\rm{\bf 5}}}[/tex]
[tex]\rm{Usually, \ decimals\ and \ negative \ numbers \ are \ BELOW \ zero \ as\ positive \ numbers}\\\rm{and \ regular/real \ numbers\ are \ ABOVE \ zero }[/tex]
[tex]\boxed{\boxed{\large\textsf{So, therefore your ANSWER is: }\mathsf{\dfrac{25}{4}>\dfrac{40}{5}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Help answer pleaseeeeeee
Answer:
Your answer is C.
Step-by-step explanation:
I answered it on paper. When it comes to explaining I have to be person to person. But I hope this helps. :)
Find the value of x
Does anybody know this?
Answer:
x = 45 °
Step-by-step explanation:
We know that the sum of all angles if right angle triangle is 180 °.
90 ° + x + x = 180°
90 ° + 2 x = 180 ° ...( combine like terms)
2 x = 180 ° - 90 °.. ( subtract 90° from 180° )
2 x = 90°
x = 90° /2 ....( divide by 2 )
x = 45 °
Describe the transformation of f(x) to g(x).
(answers and graph in picture) PLSSSS HELP
Answer: b
Step-by-step explanation:
becuz now brainliest
The transformation of a function may involve any change. The correct option is A.
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units, y=f(x+c) (same output, but c units earlier)Right shift by c units, y=f(x-c)(same output, but c units late)Vertical shift
Up by d units: y = f(x) + dDown by d units: y = f(x) - dStretching:
Vertical stretch by a factor k: y = k × f(x)Horizontal stretch by a factor k: y = f(x/k)Given the function of f(x) as sin(x), Now it can be seen the graph of the two functions is parallel, but the function f(x) has a y-intercept of 0, while h(x) has a y-intercept of 1. Therefore, we can write,
h(x) = f(x) + 1
The function is shifted up by 1 unit.
Hence, the transformation of the function is correctly described in the first option.
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Fill in the blank: 7(4x + 7) = 28x +_
_
Answer:
49
Step-by-step explanation:
7(4x + 7)
=7*4x + 7*7
=28x +49
Answer:
28x + 49
Step-by-step explanation:
7(4x + 7) = 28x +
28x + 49
which following algebraic statements are true
Answer:
All of them are true.
Step-by-step explanation:
x^2 y - z / x^2 is true. x^2, when divided by itself, cancels itself out, so the equation that is left is y - z.
For the second one, a/c + b/c is true because when you add a + b = it will change; it will be added together. the remaining c will stay the same, as it is the denominator/the same, so you keep it as it is.
For the final one, you distribute ^2 to (a+b), so they become a^2 + b^2.
This means that all of the statements are true.
1, 2, 5, 9, Rule i-
what is the rule
Answer:
it is an infinite rule guiding it
evaluate 9!/6!3!
plz helppp:)))
Answer:
84 :-)
Step-by-step explanation:
please help!! i will help you back!!
Answer:
c = 50
Step-by-step explanation:
Using the Pythagorean Theorem:
Plug in the values of a = 14, and b = 48
[tex]a^{2} +b^{2} =c^{2}\\14^{2} +48^{2} =c^{2} \\c^{2} = 2500\\c = \sqrt{2500} \\c = 50[/tex]
The vertex form of the equation of a parabola is y = 2(x + 4)2 - 7.
What is the standard form of the equation?