Answer:
G = 23/16 OR G = 1.4375
Step-by-step explanation:
3/16 = -5/4 + G
Get the constants on one side. Add 5/4 on both sides.
3/16 + 5/4 = G
To add fractions, find the common denominator. The smallest denominator between these two fractions is 16.
3/16 stays the same since it already has the denominator of 16. To turn the denominator (4) in 5/4 into 16, multiply it by 4. Whatever you do to the denominator, you must do to the numerator.
5 x 4 = 20
The second fraction is now 20/16
3/16 + 20/16 = 23/16
G = 23/16
Find the value of x and the measure of the angle labeled 16X".
112
64°
48°
16x
Answer:
[tex]16x = 48\:(vertically\:opposite\:angles)\\ \boxed{x = 3} \\ angle \: measure \: is \: \boxed{48°}[/tex]
A. is the right answer.Answer:
A
Step-by-step explanation:
Learning Task 1: Write and answer the following in your answer sheet
1. Evaluate the following polynomials in your answer sheet.
f(x) = x4 – 7x2 + 2x - 6
x=1
b. f(x) = 10x3 + 4x2 - 5
x = -3
f(x) = x4 + 5x3 - 2x + 3
a.
at
at
C.
find (2))2
2. Factor each polynomial completely using any method
(x + 1)(x2 – 5x + 6)
b. (x2 - * - 6)(x2 + 6x + 9)
x3 + 3x2 - 4x - 12
a.
C.
LABAR
Answer:
Evaluating Polynomials:
a. f(1) = -10
b. f(-3) = -239
c. f(2)² = 3125
Factoring Polynomials:
a. (x + 1)(x² - 5x + 6) = (x + 1)(x - 3)(x - 2)
b. (x² - x - 6)(x² + 6x + 9) = (x - 3)(x + 2)(x + 3)(x + 3)
c. x³ + 3x² - 4x - 12 = (x + 3)(x - 2)(x + 2)(x - 2)(x + 2)
A polynomial can be evaluated and factored by long division, factoring and synthetic division methods.
1. Evaluate polynomials
[tex]\mathbf{f(x) = x^4 - 7x^2 + 2x - 6}[/tex]
Substitute 1 for x
[tex]\mathbf{f(1) = 1^4 - 7(1)^2 + 2(1) - 6}[/tex]
[tex]\mathbf{f(1) = 1 - 7 + 2 - 6}[/tex]
[tex]\mathbf{f(1) = -10}[/tex]
[tex]\mathbf{f(x) = 10x^3 + 4x^2 - 5}[/tex]
Substitute -3 for x
[tex]\mathbf{f(-3) = 10(-3)^3 + 4(-3)^2 - 5}[/tex]
[tex]\mathbf{f(-3) = -270 + 36 - 5}[/tex]
[tex]\mathbf{f(-3) = -239}[/tex]
[tex]\mathbf{f(x) =x^4 + 5x^3 - 2x + 3}[/tex]
Substitute 2 for x
[tex]\mathbf{f(2) =2^4 + 5(2)^3 - 2(2) + 3}[/tex]
[tex]\mathbf{f(2) =16 + 40 - 4 + 3}[/tex]
[tex]\mathbf{f(2) =55}[/tex]
Square both sides
[tex]\mathbf{f(2)^2 =3025}[/tex]
Hence, the results of evaluating the polynomials are [tex]\mathbf{f(1) = -10}[/tex], [tex]\mathbf{f(-3) = -239}[/tex] and [tex]\mathbf{f(2)^2 =3025}[/tex]
2. Factor the polynomials
[tex]\mathbf{(x + 1)(x^2 - 5x + 6)}[/tex]
Expand
[tex]\mathbf{(x + 1)(x^2 - 5x + 6) =(x + 1)(x^2 - 2x - 3x + 6) }[/tex]
Factorize
[tex]\mathbf{(x + 1)(x^2 - 5x + 6) =(x + 1)(x(x - 2) - 3(x - 2) )}[/tex]
Factor out x - 2
[tex]\mathbf{(x + 1)(x^2 - 5x + 6) =(x + 1)(x - 3)(x - 2) }[/tex]
[tex]\mathbf{(x^2 - x - 6)(x^2 + 6x + 9)}[/tex]
Expand
[tex]\mathbf{(x^2 - x - 6)(x^2 + 6x + 9) = (x^2 +2x - 3x - 6)(x^2 + 3x +3x + 9)}[/tex]
Factorize
[tex]\mathbf{(x^2 - x - 6)(x^2 + 6x + 9) = [x(x +2) - 3(x + 2)][x(x + 3) +3(x + 3)]}[/tex]
Factor out x + 2 and x + 3
[tex]\mathbf{(x^2 - x - 6)(x^2 + 6x + 9) = [(x - 3) (x + 2)][(x + 3)(x + 3)]}[/tex]
Remove square brackets
[tex]\mathbf{(x^2 - x - 6)(x^2 + 6x + 9) = (x - 3) (x + 2)(x + 3)(x + 3)}[/tex]
[tex]\mathbf{x^3 + 3x^2 - 4x - 12}[/tex]
Factorize
[tex]\mathbf{x^3 + 3x^2 - 4x - 12 = x^2(x + 3) - 4(x + 3)}[/tex]
Factor out x + 3
[tex]\mathbf{x^3 + 3x^2 - 4x - 12 = (x^2 -4) (x + 3)}[/tex]
Apply the difference of two squares
[tex]\mathbf{x^3 + 3x^2 - 4x - 12 = (x -2)(x+2) (x + 3)}[/tex]
Hence, the results of factoring the polynomials are [tex]\mathbf{(x + 1)(x^2 - 5x + 6) =(x + 1)(x - 3)(x - 2) }[/tex], [tex]\mathbf{(x^2 - x - 6)(x^2 + 6x + 9) = (x - 3) (x + 2)(x + 3)(x + 3)}[/tex] and [tex]\mathbf{x^3 + 3x^2 - 4x - 12 = (x -2)(x+2) (x + 3)}[/tex]
Read more about polynomials at:
https://brainly.com/question/11536910
Directions: Convert the following equations from standard form to slope-intercept form.
(10 points)
14. 4x + y = -1
15. 5x - 2y = 14
16. 10x - 2y = -6
17. 8x + y = 12
18. 6x - 10y = 20
Which table of values represents a linear function? A B Y y y 0 7 8 7 1 1 3. --- 2 5 2 -1 4 3 3 -4 7 2 С D 2 y y 3 -2 =7 3 5 -1 -5 2 7 1 0 1 1 9 3 4 -3
Answer:
it c for sure
This is urgentttttt!!!!!!
Answer:
Part A: a. the point 3 units to the left of 7
Part B: b. -4
Step-by-step explanation:
Part A: The expression can be simplified into 7 - 3, and when you subtract a number, you go left on the number line, so the point 3 left of 7
Part B: 7 - 3 = 4, and to get to 0 from 4, you need to subtract 4 or add -4
pls help asap no trolls!
Answer:
YX < YW < XW
Step-by-step explanation:
12v +(v+57) + (v+39) = 180
14v + 96 = 180
14v = 84
v = 6
3 angles from smallest to largest: 72° (12v) (XW) , 63° (v+57)(YW) , 45° (YX)
side length: YX < YW < XW
need help asap please
Answer:
y=3/4x+1
Step-by-step explanation:
If you rearrange the given equation to slope intercept form, you'll find the slope to be -4/3. If a line is perpendicular to another it'll have the opposite reciprocal for a slope, meaning the new line's slope would be 3/4. If you plug 3/4 and the given point's x and y value into slope intercept form you'll find the b value or y intercept to be 1. Since you now have the slope and the y intercept you can determine the equation to be y=3/4x+1. Hope this helps!
What is the solution to this equation?
X-8 = 15
Α. x= 17
Β. χ= 13
C. χ= 7
D. χ= 23
Answer:
D.) X=23
Step-by-step explanation:
cause you add 8 to each side then simplify and you get 23
Solve the equation. 2/3 t=4/5
A. t= 2/15
B. t= 8/15
C. t= 1 and 1/5
D. t= 1 and 7/15
Answer:
it's C.
Step-by-step explanation:
make it braintliest please
you will have amazing luck if you help me
Answer:
b
Step-by-step explanation:
because of the value of the area
b is the answer
Use the properties of exponents to simplify the expression: 2532
25
3
2
Question 11 options:
A)
125
B)
25
C)
625
D)
5
Question 12 (5 points)
Solve the inequality: (x −3)12+ 2 ≥4
(
x
-
3
)
+
2
≥
4
Question 12 options:
A)
x ≥ 35
B)
x ≥ 11
C)
x ≥ 7
D)
x ≥ 13
Question
Use the properties of exponents to simplify the expression: [tex]25^{\frac{3}{2}}[/tex]
Answer:
[tex]25^{\frac{3}{2}} = 125[/tex]\
Step-by-step explanation:
Given
[tex]25^{\frac{3}{2}}[/tex]
Required
Simplify
[tex]25^{\frac{3}{2}}[/tex]
Apply the following law of indices
[tex]a^{\frac{m}{n}} = (a^m)^{\frac{1}{n}}[/tex]
So, the expression becomes
[tex]25^{\frac{3}{2}} = (25^3)^{\frac{1}{2}}[/tex]
Express [tex]25^3[/tex] as 15625
[tex]25^{\frac{3}{2}} = (15625)^{\frac{1}{2}}[/tex]
In indices: [tex]a^{\frac{1}{2}} = \sqrt a[/tex]
So, we have:
[tex]25^{\frac{3}{2}} = \sqrt{15625[/tex]
[tex]25^{\frac{3}{2}} = 125[/tex]
The Carousel Creators constructed a model of their latest Amusement Park Carousel. What is the scale using 1 cm if the model Carousel houses have a height of 7 cm and the actual Carousel horses are 3.5 meters?
a) 0.5 meters
b) 3.5 meters
c) 0.5 centimeters
d) 3.5 centimeters
Answer:
c
Step-by-step explanation:
Complete the equation so it has infinitely many solutions.
4x + 7 = 4(x + 3) –
i juss wanna give yall sum points yw
;)
Answer:
im not sure
Step-by-step explanation:
Answer:
Thx for the points the answer is also 5
Step-by-step explanation:
Which situation can be represented by the equation y=74x?
What do you "mean"?
5(-6 + 4)=..................
Answer:
-10
Step-by-step explanation:
5(-6 + 4)
=-30+20
=-10
Answer:
-10 or just 10 in general
Step-by-step explanation:
Im giving Brainlest to who answers the best
Answer:
oop
Step-by-step explanation:
is 11/12 equivalent or greater to 11/13
Answer:
[tex] \frac{11}{12} > \frac{11}{13} [/tex]
Step-by-step explanation:
Here , the fraction has same numerators but the denominators are different. Whenever any 2 fractions have same numerator but diffeent denominators , the fraction whose denominator is less is greater than the fraction whose denominator is more.
Here 11 is common in both the numerators but when we talk about denominators , 12 < 13 . So,
[tex] \frac{11}{12} > \frac{11}{13} [/tex]
Verification :-
[tex] \frac{11}{12} = 0.9166666667 = 0.91(appx)[/tex]
[tex] \frac{11}{13} = 0.8461538462 = 0.84(appx)[/tex]
System of Equations : Money
Damian has been saving coins he finds on the ground for several months. So far he has found 37 coins that are either pennies or nickels. The combined value of his found pennies and nickels currently is $1.09. What is the system of linear equations, written using standard form, represents the situation if Damian found p pennies and n nickels.
Answer:
18 nickles 19 pennies
Step-by-step explanation:
value of 1 penny=$0.01
value of 1 nickle=$0.05
0.01p+0.05n=1.09
p+n=37
there are two methods for this system
I.substitution
p+n=37
p=37-n
we replace p in the first relation
0.01(37-n)+0.05n=1.09
0.37-0.01n+0.05n=1.09
0.04n=0.72
n=18 nickels
p+18=37
p=37-18=19 pennies
II.reduction
0.01p+0.05n=1.09
p+n=37
we multiply the second equation by 100
p+5n=109
p+n=37
we calculate the difference between the two relations
p-p+5n-n=109-37
4n=72
n=18
p+18=37
p=19
yoo i need help... pls
Answer:
-9x⁹y⁵Step-by-step explanation:
Simplifying:
(-8x⁴y³)*(2x⁵y²) + 7x⁹y⁵ =-16x⁴⁺⁵y³⁺² + 7x⁹y⁵ =-16x⁹y⁵ + 7x⁹y⁵ =(-16 + 7)x⁹y⁵ =-9x⁹y⁵Step-by-step explanation:
-9x⁹y⁵Simplification↑How to Rewrite the expression 4(13-10) using distributive property of multiplication over subtraction
Answer:
52-40
Step-by-step explanation:
distribute 4 to 13 and 10
put the subtraction sign back in
HELP QUICK FREE BRAINLYEST FOR RIGHT ANSWER
what is 10*5-2+279-57/3*4=?
Answer:
251 because yes and yes hope it helps
Interest calculated only on the principle is
5x - 3 (x+3) = what to have infinitely many solutions
Answer: 1/4
Step-by-step explanation: I think that’s the answer! i’m sorry i’m in 8th fe are
Which statements are true? Select each correct answer.
A −2 is farther from zero on the number line than −1 , so |−2|>|−1| .
B The absolute value of −2 is positive.
C The absolute value of −2 is less than the absolute value of 2.
D Since −2 is 2 units to the left of 0, |−2|=−2 .
Answer:
A and B
Step-by-step explanation:
there are 56 tulips in a flowerbed. the ratio of tulips to daffodils is 3:5. how many tulips and how many daffodils are there in a flowerbed? (Pls answer correctly)
Answer:
96
Step-by-step explanation:
3x + 5x = 8x.
8 altogether --> 3 tulips and 5 daisies
16 altogether --> 6 tulips and 10 daisies
24 altogether ---> 9 tulips and 15 daisies
etc
etc
48 altogether --> 12 tulips and 20 daisies
96 altogether --> 15 tulips and 25 daisies
Answer:
55 : 56.6666666667
Step-by-step explanation:
3:5 ÷ 3 = 1 : 1.66666666667 + 55= 56.6666666667
If you are good at math please dm me on ig 14lies, or twitt binderelluh1
Answer:
Okay
Step-by-step explanation:
Select the correct answer.
What are the slope and the y-intercept of the line of best fit on this scatter plot?
Answer:
A
Step-by-step explanation:
slope is change in y over change in x, line goes down 4, right three whole units, making the slope -4/3
y-intercept is where the line hits the y-axis
the line hits the y-axis at (0,8)
this makes the y-intercept 8
Answer:
The y-intercept is 8 , and the slope is -4/3.
Step-by-step explanation:
12x-20=n(3x-5) what does n equal
Evaluate g(t) for the given values of t.
g(t)=|17-t|
A)g(11)=
B)g(12)=
Answer:
Step-by-step explanation:
g(t)=|17-t|
A)g(11)=|17-11|
= |6|
= 6
B)g(12)=|17-12|
=|5|
=5
hurry ASAP 100 points !!!!
Answer:
I am pretty sure 1=constant independednt, 2 is inconsistent and three is constant dependent
Step-by-step explanation:
I am not positive tho..
Answer:
the first one is y=-5+2x