Answer:
1. x = 7
2. x = -5
Step-by-step explanation:
1. Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation: 2*x+5*(6*x-9)-(179)=0
Pull out like factors 6x - 9 = 3 • (2x - 3)
(2x + 15 • (2x - 3)) - 179 = 0
Pull out like factors: 32x - 224 = 32 • (x - 7)
Solve: x-7 = 0
Add 7 to both sides of the equation = 7
2. Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation: -40-(6*x-5*(-4*x-18))=0
Pull out like factors: -4x - 18 = -2 • (2x + 9)
-40 - (6x - -10 • (2x + 9)) = 0
Pull out like factors: -26x - 130 = -26 • (x + 5)
-26 • (x + 5) = 0
Solve: x+5 = 0
Subtract 5 from both sides of the equation: x = -5
Hope this helps! Please mark as brainliest.
Thanks!
Elena is binding a small booklet with a spine that is 21/4 inches long. She uses staples that are 7/16-inch long. If she puts the staples end-to-end through the booklet, without gaps or overlaps between them, how many staples would it take to bind the booklet?
Answer:
12 staples
Step-by-step explanation:
So the first thing we have to do is find the G.C.D (Greatest Common Denominator) between 21/4 and 7/16 which of course is 16 so your new fractions would be 84/16 and 7/16.
Now we have to divide both numbers I just used a fraction calculator for this but basically you multiply 84/16 by the reciprocal of 7/16 which is 16/7 and simplify which equals 12.
So it would take 12 staples to bind the booklet
Question: Tell whether each function is linear or non-linear.
Choices:
A. Function A is non-linear and Function B is non-linear.
B. Function A is linear and Function B is non-linear.
C. Function A is linear and Function B is linear.
D. Function A is non-linear and Function B is linear.
Just to avoid some confusion: the first picture is a graph of function A, and the second picture is a graph of function B.
Answer:
D. Function A is non-linear and Function B is linear.
Step-by-step explanation:
A good way to find out if a function is linear is by graphing it. If you graph it and it is a straight line, then it is linear.
So, let's graph the given points from the table of Function A and see if it forms a straight line. When you connect the dots, it's not straight, so Function A is non-linear.
Now let's look at function B. We can graph that too with the given information from the equation - the slope is -1 and the y-intercept is 5. (If you are a bit confused on how to graph it, don't hesitate to ask!) It does form a straight line, so Function B is linear.
The solution is Option D.
Function A is non-linear and Function B is linear.
What is Linear Equation in 2 variables?
An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.
Given data ,
Let the first equation be A
Let the second equation be B
where
The function A is represented by y = x³
The function B is represented by y = -x + 5
Now ,
We can see that the linear equation A is of the form y = x³ , and this is a cubic relation and it is a non linear graph
The function B is a linear equation of the form y = mx + c , which is the linear equation for a line with slope -1
So , the function B y = -x + 5 is linear
Hence , the Function A is non-linear and Function B is linear.
To learn more about linear equation in 2 variables click :
https://brainly.com/question/11897796
#SPJ6
Figure B is a scaled copy of Figure A. What is the scale factor from Figure A to Figure B.
Answer:
The scale factor is 1/2
Step-by-step explanation:
I have a different one but it was supposed to be 1/4
Here are graphs of two functions f and g the function h is defined by h(x)=f(x)-g(x)
1.for which values of x is h(x)=0? explain how you know
2.For which values of x is h(x) 0
3.sketch a graph of h
I am not good at math and don't feel like taking it again pleas help ;-;
i did this last year lol ;-;
The function h(x) is h(x)=5/4 x² - 5/2 x.
What is quadratic equation of graph?A quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola.
The vertex form of a quadratic function is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola. The coefficient a determines whether the graph of a quadratic function will open upwards or downwards.
Here, vertex is (h, k)=(0, 0) and coordinate point is (x, y)=(-2, 5)
So, 5=a(-2-0)²+0
5=4a
a=5/4
Substitute, a=5/4 and (h, k)=(0, 0) in vertex form we get
f(x)= 5/4 x²
Equation of straight line with coordinates (-2, 5) and (0, 0) is
Slope m=5/2
Substitute, m=5/2 and (x, y)=(0, 0) in y=mx+c we get
0=5/2(0)+c
c=0
Substitute, m=5/2 and c=0 in y=mx+c we get
y=5/2 x
So, g(x)=5/2 x
Now, h(x)=f(x)-g(x)
h(x)=5/4 x² - 5/2 x
h(x)=5/2 x(1/2 x-1)
1) h(x)=0
5/2 x(1/2 x-1) =0
1/2 x-1=0
1/2 x=1
x=2
2) For x=2, h(x) is 0
3) Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Therefore, the function h(x) is h(x)=5/4 x² - 5/2 x.
To learn more about the quadratic function visit:
https://brainly.com/question/27918223.
#SJ5
I NEED HELP NOW PLEASE
Which decimal represents the portion that is NOT shaded?
0.003
0.03
0.3
3.0
Write how u solved it
Answer:
0.3
Step-by-step explanation:
Answer:
3.0
Step-by-step explanation:
Here we have a rectangle split into ten parts with 7/10 shaded in blue. The question asks what decimal represents the portion, alright, let's go down the list.
0.003 is also known as 3 thousandths, meaning that we would need a thousand little squares as our figure. Clearly this isn't the case, so 0.003 is wrong.
0.03 is also known as 3 hundredths, meaning that we would need a hundred little squares as our figure, this also isn't the case, so 0.03 is wrong.
0.3 is known as 3 tenths, yes this could represent our figure, but it doesn't represent the finished portion, which would be 1.0, this means that only one part will be shaded in the figure we have now, leaving it to be wrong.
This leaves us with 3.0
find the missing angle
Shane and Gemma share 35 sweetss in the ratio 1 : 4 Gemma eats 10 of her sweets and then gives Shane 1/2 of the sweets she has left. H ow many sweets does Shane have now?
Answer:
14 sweets
Step-by-step explanation:
5x+35
x=7
7*4=28
(28-10)/2=7
7+7=14
Someone did something stupid in the other question
Answer:
[tex]m=-2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula (Rate of Change): [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-1, 0)
Point (-3, 4)
Step 2: Find slope m
Substitute: [tex]m=\frac{4-0}{-3+1}[/tex]Subtract/Add: [tex]m=\frac{4}{-2}[/tex]Divide: [tex]m=-2[/tex]Answer: i see you got the answer already, but I was wondering if you could give me brainliest to help me level up. I would really appreciate it.
Step-by-step explanation:
thanks guys i only got one question wrong
Answer:
Let me help you next time! congrats tho
Answer:
on what field of math?
Step-by-step explanation:
Congrats! Was it a big assignment?
5 x 10^8 - 3.4 x 10^8 =
In Scientific notation PLS HELP
Answer:
[tex] 1.6 \times 10^8[/tex]
Step-by-step explanation:
[tex]5 \times 10^8 - 3.4 \times 10^8 \\ \\ =(5 - 3.4 ) \times 10^8 \\ \\ =1.6 \times 10^8[/tex]
Triangle JKL is fromed by plotting three points. What is the leanth of sides JK?
j(1 , 5) k(1, 9)
answers > 6 3 5 2
[tex]\LARGE\leadsto\sf JK=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\LARGE\leadsto\sf \sqrt {(1-1)^2+(9-5)^2}[/tex]
[tex]\LARGE\leadsto\sf \sqrt {(0)^2+(4)^2}[/tex]
[tex]\LARGE\leadsto\sf \sqrt {0+16}[/tex]
[tex]\LARGE\leadsto\sf \sqrt {16}[/tex]
[tex]\LARGE\leadsto\sf JK=4units [/tex]
I'm very confused, I don't know where to even start! Please help me!!
Answer/Step-by-step explanation:
✔️Using trigonometric ratio, find width of the rectangle, BD:
Thus:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Where,
[tex] tan(\theta) = tan(60) = \sqrt{3} [/tex]
Opposite = BD
Adjacent = 7 cm
Plug in the values
[tex] \sqrt{3} = \frac{BD}{7} [/tex]
Multiply both sides by 7
[tex] 7\sqrt{3} = BD [/tex]
[tex] BD = 7\sqrt{3} [/tex]
✔️Using trigonometric ratio, find height of the rectangle, BF:
Thus:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Where,
[tex] tan(\theta) = tan(60) = \sqrt{3} [/tex]
Opposite = 6 cm
Adjacent = BF
Plug in the values
[tex] \sqrt{3} = \frac{6}{BF} [/tex]
[tex] BF = \frac{6}{\sqrt{3}} [/tex]
Rationalize
[tex] BF = \frac{6 \times \sqrt{3}}{\sqrt{3} \times \sqrt{3}} [/tex]
[tex] BF = \frac{6\sqrt{3}}{3} [/tex]
[tex] BF = 2\sqrt{3} [/tex]
✔️Perimeter of rectangle BDEF:
Perimeter = 2(BD + BF)
Plug in the values
[tex] Perimeter = 2(7\sqrt{3} + 2\sqrt{3}) [/tex]
[tex] Perimeter = 2(9\sqrt{3}) [/tex]
[tex] Perimeter = 18\sqrt{3} [/tex]
✔️Area of the rectangle BDEF:
Area = BD × BF
Plug in the values
[tex] Area = 7\sqrt{3} \times 2\sqrt{3} [/tex]
[tex] Area = 7 \times 2\sqrt{3 \times 3} [/tex]
[tex] Area = 14 \times 3 [/tex]
[tex] Area = 42 [/tex]
the table below shoes the rates for two duplicating companies. quick copy copy place initial fee of $5.00 initial fee of $10.00 $0.06 per page $0.04 per page the total cost, c, is dependent on the number of pages, p, that are duplicated. which of these systems of equations represents this situation? p = 5 + 6c p = 10 + 4c ⊝ c = 5 + 6p c = 10 + 4p ⊝ p = 5 + 0.06c p = 10 + 0.04c ⊝ c = 5 + 0.06p c = 10 + 0.04p
Answer:
:
︎︎
︎View replies (900.B)
︎︎
︎︎
︎︎
︎︎
︎︎
︎︎
︎︎
︎︎
︎︎
︎︎
︎︎
︎︎
︎︎
︎︎
︎︎
︎︎
︎︎
︎︎
︎︎
︎︎
The system of equations representing the rates for two duplicating companies are -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have the rates for two duplicating companies. There are two different rates as-
[1] > initial fee of $5 and $0.06 per page.
[2] > initial fee of $10.00 and $0.04 per page.
For the [1] company, we can write the equation as -
C[1] = 5 + 0.06x
For the [2] company, we can write the equation as -
C[2] = 10 + 0.04x
So, the system of equations will be -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
Therefore, the system of equations representing the rates for two duplicating companies are -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
To solve more questions on equation modelling, visit the link below-
brainly.com/question/9144182
#SPJ2
Jamal discovers that the sum of Point B and Point C is zero. A number line with points A, blank, B, blank, 0, blank, C, D, blank. Which sentence is a correct statement about points B and C? Point B is twice the distance to the left of zero as C is to the right of zero. Point B is the opposite of Point C. Point B has a value of 0 and Point C has a value less than 0. Point B is positive, while Point C is negative.
Answer:
point b is twice the distance
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
100
The distribution of height of adult american women is approximately normal with a mean of 65.5 inches and a standard deviation of 2.5 inches what percentage of women are taller than 70.5 inches?
Answer:
2.275%
Step-by-step explanation:
We start by calculating the z-score
Mathematically;
z-score = (x-mean)SD
here, x = 70.5
mean = 65.5
SD = 2.5
Substituting these values;
z = (70.5-65.5)/2.5
= 5/2.5 = 2
So we want to calculate the probability that;
P( z> 2)
We check the standard normal distribution table for this
That will be
0.02275
In percentage, this is 2.275 %
Pls I NED HELP ASAP I ONLY HAVE 10 MINUTES
Answer:
20
Step-by-step explanation:
when a letter and a number are next to each other u have to multiply, so x is 5 so 3 x 5 is 15. 15 plus 5 is 20 so 20 is ur answwer
Answer:
20
Step-by-step explanation:
x= 20
3x+5 replace x with 5 than do 3x5=15+5=20
What is the slope of the line represented by the equation y = 4/5x - 3
Answer:
the slope 4/5x and the y intercept is -3
Step-by-step explanation:
1 Find the area of the Circle below: Чcm
Answer:
A≈50.27
Or 16π
Step-by-step explanation:
Answer:
50.24cm
Step-by-step explanation:
Parker grew
21 inches each year for the past 3 years. How many inches total has Parker grown in the past 3 years
Answer:
63
Step-by-step explanation:
Answer:
63
Step-by-step explanation:
21x3=63
What is the measure of angle 1
Answer: 100
Step-by-step explanation:
It is an alternate interior angle.
If f(x) = 7(x - 1) + 8, find the value of f(1)
answer fast.
Answer:
7x+1
Step-by-step explanation:
Use the distributive property to multiply 7 by x−1.
7x−7+8
Add −7 and 8 to get 1.
7x+1
whats the worlds biggest number ?
The biggest named number that we know is googolplex, ten to the googol power, or (10)^(10^100). That's written as a one followed by googol zeroes.
Have a Merry Christmas!
A certain brand of tea costs $7.99 for 16.2 ounces.
What is the unit rate?
Enter your answer, rounded to the nearest cent, in the box.
$
per ounce
Answer:
49 cents per ounce
Step-by-step explanation:
is this proportional relationship? please help!!
Answer:
yes, the slope is the same throughout the table
Step-by-step explanation:
Answer:
Yes, the graph shown is a proportional relationship.
Step-by-step explanation:
If you divide the distance (6) by the time (1) you get the same thing (6). Repeat for all the terms in the graphs. Since 6/1 is 6, 12/2 is 6, 18/3 is 6 and 24/4 is 6, The relationship is proportional.
In triangle ABC, m angle A = 30° and m angle B = 60°. Matches these in the order from smallest to largest. AB, BC, AC
Answer:
ab, ac, bc
Step-by-step explanation:
a=30, b=60, c=180-(30+60) = 180-90=90
Write a compound inequality that represents the following phrase.
all real numbers that are between -4 and 8
A. -4< n<8 B.-4< n< 8
........._................._.. _
C.-4<n< 8 D.-4<n<8
............_
Answer:
A. -4< n<8 B.-4< n< 8
Step-by-step explanation:
Answer:
D.-4<n<8
Step-by-step explanation:
Junior's brother is 1\dfrac121 2 1 1, start fraction, 1, divided by, 2, end fraction meters tall. Junior is 1\dfrac151 5 1 1, start fraction, 1, divided by, 5, end fraction of his brother's height.
Answer:
1 4/5 meters
Step-by-step explanation:
Juniors brother = 1 1/2 meters tall
Junior is 1 1/5 of his brother height
Junior = 1 1/5 of 1 1/2
= 6/5 × 3/2
= 6 * 3 / 5 * 2
= 18/10
= 1 8/10
= 1 4/5 meters
Junior is 1 4/5 meters tall
Answer:
1 4/5
Step-by-step explanation:
its on khan (: trust me
In ΔEFG, e = 82 cm, ∠G=35° and ∠E=51°. Find the length of f, to the nearest 10th of a centimeter.
Answer:
105.3
Step-by-step explanation:
deltamath
sqrt((1, 476 + 274(341 - 48))/2)
IMPORTANT!!!
Combine Like Terms. 2 + 3
a. 8x
b. 16x
c. 5x
5. Combine Like Terms. 9 + 4 + 4
a. 13x+4
b. 93x+2
c. 12x+4