[tex]\text{y}=6 \ \text{and} \ \text{z}=2\\\\\dfrac{3\text{y}-\text{z}}{\text{y}+5\text{z}}=\dfrac{3\cdot6-2}{6+5\cdot2}=\dfrac{18-2}{6+10}=\dfrac{16}{16}=\huge\boxed1[/tex]
Find the equation (in terms of x) of the line through the points (-3,0) and (4,5)
Y=?
Step-by-step explanation:
steps are in the picture above.
Note:if you need to ask any question please let me know.Solve the radical equation, if possible.
Answer: C
Step-by-step explanation:
3x-3 ≥ 0 ==> x ≥ 1
3x+6 ≥ 0 ==> x ≥ -2
So: condition x ≥ 1
[tex]\sqrt{3x-3} +1=\sqrt{3x+6} \\\\\sqrt{3x+6} -\sqrt{3x-3} =1 \ squaring\\\\3x+6+3x-3-2\sqrt{(3x+6)(3x-3)} =1\\\\6x+2=2\sqrt{(3x+6)(3x-3)}\\\\\sqrt{(3x+6)(3x-3)}=3x+1\ squaring \\\\(3x+6)(3x-3)=(3x+1)^2\\\\9x^2+18x-9x-18=9x^2+6x-1\\\\3x=19\\\\x=\dfrac{19}{3} \\\\sol=\{\dfrac{19}{3}\}\\\\Answer\ C\\[/tex]
Seleccione el valor de la incógnita en cada ecuación
5x+7=7
Respuesta 1
Elegir...
x+5=14
Respuesta 2
Elegir...
x-5=10
Respuesta 3
Elegir...
2x+1=15
Respuesta 4
Elegir...
3x-1=8
Respuesta 5
Elegir...
me pueden ayudar por favor y muchas gracias doy coronaa
Respuesta 1
Answer:
x+5=14
x=14-5
x=9
Respuesta 2
Answer:
x-5=10
x=10+5
x=15
Respuesta 3
Answer:
2x+1=15
2x=15-1
2x=14
2x/2=14/2
x=7
Respuesta 4
Answer:
3x-1=8
3x=8+1
3x=9
3x/3=9/3
x=9
What is the area of the following composite figure? All angles are right angles.
Answer:
24 meters squared
Step-by-step explanation:
2 + 1 + 1 = 4
5 x 4 = 20
(2 x 1) x 2 = (2) x 2 = 4
20 + 4 = 24 meters squared
Given the following functions:
f(x)=x^2
g(x)=x−3
Find the composition of the two functions and show your process:
f(g(x))
Answer:
[tex]x^2-6x+9[/tex]
Step-by-step explanation:
Say you have a function [tex]f(x)=x+1[/tex]. If you wanted to find f(3), you would replace the number in the parentheses, in this case 3, with x, to get [tex]f(3)=3+1=4.[/tex] When combining functions, you should do the same thing.
Here, we have [tex]f(x)=x^2.[/tex] We want to find f(g(x)). So, you should replace x in the function f(x) with the function g(x). [tex]g(x)=x-3.[/tex] So, f(g(x)) would equal [tex](x-3)^2[/tex], which equals [tex]x^2-6x+9[/tex].
Hope this helps!
Need help with 6 ASAP
Algebra 1 please help
Simplify the expression and write your answer in
scientific notation: (1.9 X 105)3
A polynomial is
if its only factors over the integers are 1 and itself.
Answer: Prime
A polynomial is prime if its only factors over the integers are 1 and itself.
==============================================================
Explanation:
Think of the idea of factoring whole numbers like factoring 36 into 6*6 which further breaks down into (2*3)*(2*3) = 2^2*3^2. This shows that 36 is composite and not prime.
Something like 7 is prime because the only factors are 1 and itself.
This idea extends into polynomials as well.
Something like x^2+4x+4 factors to (x+2)(x+2) which shows it is not prime. On the other hand, the polynomial x^2+3x+5 is prime over the integers because we cannot factor it like the previous example. The only factors here are 1 and itself.
Factoring is handy to help determine roots of a polynomial. However, other tricks could be used such as the quadratic formula or using numerical approximation techniques.
3. 20 + -4(32 - 6) =
Answer:
-84
Step-by-step explanation:
20 + [-4(32 - 6) ]
20 + [-4(26) ]
20 + (-104)
20 - 104
-84
If a = 5 and b=2 then find the value of - 2ab and - 3a+b
Answer:
-2ab = -20-3a + b = -13Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
PART I: Find the value of -2abGiven information
a = 5
b = 2
Given expression
-2ab
Substitute values into the expression
-2 (5) (2)
Simplify by multiplication
=-10 (2)
=[tex]\boxed{-20}[/tex]
--------------------------------------------------------
--------------------------------------------------------
PART II: Find the value of -3a + bGiven information
a = 5
b = 2
Given expression
-3a + b
Substitute values into the expression
-3 (5) + (2)
SImplify by multiplication
=-15 + (2)
Simplify by addition
=[tex]\boxed{-13}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
f(x) = 5x^2-x+9
find the difference quotient hurry!!!
Answer:
10x+5h-1
Step-by-step explanation:
Find f ( x + h) and f (x), and plug these values into difference quotient formula.
Answer:
10x + 5h − 1
Step-by-step explanation:
10x + 5h − 1
The volume of a crate with length of x feet, width of 8 - x feet, and a height of x - 3 feet is given by V(x)=x(8−x)(x−3) find the maximum volume of the crate and the dimensions for this volume
Given that g(x)= 2x^2 - 3x + 19, find each of the following. A.) g(0) B.) G (-1) C.) g(3) D.)g(-x) E.) G (1-t)
Answer:
Given:
g(x)= 2x² - 3x + 19Evaluate each value:
A)
g(0) = 2(0)² - 3(0) + 19 = 19B)
g(-1) = 2(-1)² - 3(-1) + 19 = 2 + 3 + 19 = 24C)
g(3) = 2(3)² - 3(3) + 19 = 18 - 9 + 19 = 28D)
g(-x) = 2(-x)² - 3(-x) + 19 = 2x² + 3x + 19E)
g(1 - t) = 2(1 - t)² - 3(1 - t) + 19 = 2(1 - 2t + t²) - 3 + 3t + 19 = 2t² - 4t + 2 + 3t + 16 = 2t² - t + 18sorry if is wrong,..........;
h(x) = x - 3
g(x) = -2x2 + 4x
Find h (x) · g(x)
-3x^4 + 9x^3 - x + 3
-2x^3 + 10x^2 - 12x
2x^3 + 10x^2 + 12x
x^4 + 6x^3 + 8x^2
Answer:
h(x) = x - 3
g(x) = -2x2 + 4x
Find h (x) · g(x)
-3x^4 + 9x^3 - x + 3
-2x^3 + 10x^2 - 12x
2x^3 + 10x^2 + 12x
x^4 + 6x^3 + 8x^2
Solve ( 9 - r) ( 2 - 3r) using the FOIL method. QUICK PLEASE!
[tex]\huge\text{Hey there!}[/tex]
[tex]\textsf{(9 - r)(2 - 3r)}[/tex]
[tex]\textsf{= 9(2) + 9(-3r) + 2(-r) + (-r)(-3r)}[/tex]
[tex]\mathsf{= 18 - 27r - 2r + 3r^2}[/tex]
[tex]\mathsf{= 3r^2 + 18 - 27r - 2r}[/tex]
[tex]\boxed{\large\text{COMBINE the LIKE TERMS}}[/tex]
[tex]\mathsf{= 3r^2 + 18 + (-27r - 2r)}[/tex]
[tex]\mathsf{= 3r^2 + 18 - 29r}[/tex]
[tex]\mathsf{= 3r^2 - 29r + 18}[/tex]
[tex]\boxed{\large\textsf{Therefore, your answer is: \large\boxed{\mathsf{3r^2 - 29r + 18}}}}\large\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
I WILL MARK BRAINLIEST. PLEASE HELP. QUICK. Write an equation in slope-intercept form for the line with slope 15 and y-intercept −3. Then graph the line.
I WILL MARK BRAINLIEST
Find the principal (positive) square root of 15. If necessary, round the answer
to the nearest hundredth (two decimal places).
If f(x) = log(x), what is the transformation that
1
occurs if g(x) =
log(x) - 1?
3
a y no eso s i gamas
e s k i u s m i atrapada
Jonathan is solving this 3 variable system by hand.
What should be the entries for row 3 in step 3 (list them in order)? A) 0, -1, -2, 1 B) 0, 1, 3, 1 C) 0, 1, -2, 3 D) 3, 2, 1, 1
The entries for Row 3 in step 3 are : 0, -1, -2, 1
R_{1} = Row1
R_{2} = Row 2
R_{3} = Row 3
For the third step, STEP 3 :
THE VALUE OF Row 3 is obtained thus :
[tex]R_{3} = R_{3} - 3R_{1}[/tex]
[tex]From \: step \: 1 : R_{1} = [1 1 1 0][/tex]
[tex]R_{1} = [1 1 1 0] \\ \\
[tex]R_{3} = [3 2 1 1] \\
\\ 3R_{1} = 3(1 1 1 0) = [3 3 3 0][/tex]
[tex]R_{3} - 3R_{1} \: =
(3 - 3), (2 - 3), (1 - 3), (1 - 0) = (0, -1, -2, 1)[/tex]
Hence, the entry for Row 3 in step 3 will be :
(0, - 1, - 2, 1)
Learn more on linear algebra : https://brainly.com/question/13284369
what is 550÷1000000??
This is a long division problem.
Answer:
[tex]5.5*10^{-4}=\frac{11}{20000}=.00055[/tex]
Step-by-step explanation:
[tex]550/1000000=55/100000[/tex] | Take one 0 from each side of the divider
Now that it's simplified, we can more easily solve the problem:
[tex]55/100000=5.5*10^{-4}[/tex]
We can also write this as a fraction or a decimal:
[tex]5.5*10^{-4}=\frac{11}{20000}=.00055[/tex]
Help!!! Solve for variable and show steps
Step-by-step explanation:
here,
[tex] \sqrt{x + 4} - 3 = 1[/tex]
[tex] \sqrt{x + 4} = 1 + 3[/tex]
[tex] \sqrt{x + 4} = 4[/tex]
[tex]x + 4 = (4) ^{2} [/tex]
[tex]x + 4 = 16[/tex]
x=16-4
x=12
what is 28.8 classified as in the real number system
Answer:
A rational number
Step-by-step explanation:
Answer:
Decimal number
Step-by-step explanation:
28.8 is a decimalConverting to fraction
[tex]\\ \sf\longmapsto 28.8[/tex]
[tex]\\ \sf\longmapsto \dfrac{288}{10}[/tex]
[tex]\\ \sf\longmapsto \dfrac{144}{5}[/tex]
[tex]\\ \sf\longmapsto 28\dfrac{4}{5}[/tex]
√5(√10+√3)
SHOW HOW YOU GOT THE ANSWER
√5(√10 + √3) = √(5 · 10) + √(5 · 3) =
= √50 + √15 = √(25 · 2) + √15 =
= √(5² · 2) + √15 = 5√2 + √15 ← the end
(a+b square)-(a-b square)
Answer:
[tex] {(a + b)}^{2} - {(a - b) }^{2} \\ = 1[/tex]
In algebra 0 is written as 1 according to rule.
What is the answer A B C or D. WILL GIVE BRAINLIEST
your answer is 1/36 because if you spin once it would be 1/18 and if spin x2 the answer would be 1/36
Evaluate the function f(x)=x^2+6x+2 at the given values of the independent variable and simplify.
a. f(-8)
b. f(x+2)
c. f(-x)
Answer:
a) 18
b)x^2+10x+18
c)x^2 -6x+2
Step-by-step explanation:
This is a case of plugging in the value into f(x).
a) f(-8)= -8^2 + 6(-8) +2
f(-8)= 64 + (-48) +2
f(-8)=64 + (-46)
f(-8)=18
b) f(x+2)= (x+2)^2+6(x+2)+2
So here I'll take a break to explain what's going on, because x+2 is a binomial meaning two terms and it is being squared I have to multiply the whole thing by itself. Meaning: (x+2) x (x+2), this is also known as foiling!! and for the next part its distributing 6 into x and 2.
f(x+2)= x^2+4x+4+6x+12+2
I'll reorder it
f(x+2)= x^2+4x+6x+12+2+4
f(x+2)= x^2+10x+18
c) f(-x)= -x^2+6(-x) +2
f(-x)= x^2 -6x+2
Sue had a circular picture that she wanted to frame. If the picture's frame diameter was
7.5 inches, how much is the minimum framing material did she need in inches?
please answer the question above and pick an answer choice from the ones provided
Answer:
1,2 and 4 are equivalents. 3 is not equivalent
2P-I, mark that one :l
Step-by-step explanation:
the largest 4 digit number which is a perfect cube is (a) 92000, (b)9261, (c)9000, (d)9259
Answer:
(Note:92000 is a five digit number, so it cannot be the answer)
b) 9261
It is the cube of 21(largest among the four digit numbers in the question)
It is a four digit numbner.
