ANSWER #1:
x = -1.666666667
x = 0.5
STEP-BY-STEP:
Simplifying
6x2 + 7x + -5 = 0
Reorder the terms:
-5 + 7x + 6x2 = 0
Solving for variable 'x'.
(-5 + -3x)(1 + -2x) = 0
SUBPROBLEM 1
Set the factor '(-5 + -3x)' equal to zero and attempt to solve:
Simplifying
-5 + -3x = 0
Move all terms containing x to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + -3x = 0 + 5
Combine like terms:
0 + -3x = 0 + 5
-3x = 0 + 5
Combine like terms:
-3x = 5
Divide each side by '-3'.
x = -1.666666667
Simplifying
x = -1.666666667
SUBPROBLEM 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve:
Simplifying
1 + -2x = 0
Move all x terms to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1
Combine like terms:
0 + -2x = 0 + -1
-2x = 0 + -1
Combine like terms:
-2x = -1
Divide each side by '-2'.
x = 0.5
Simplifying
x = 0.5
ANSWER #2:
x = -7
x = 2
STEP-BY-STEP:
Simplifying
x2 + 5x + -14 = 0
Reorder the terms:
-14 + 5x + x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(-7 + -1x)(2 + -1x) = 0
SUBPROBLEM 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:
Simplifying
-7 + -1x = 0
Solving
-7 + -1x = 0
Move all x terms to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7
Combine like terms:
0 + -1x = 0 + 7
-1x = 0 + 7
Combine like terms:
-1x = 7
Divide each side by '-1'.
x = -7
Simplifying
x = -7
SUBPROBLEM 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:
Simplifying
2 + -1x = 0
Solving
2 + -1x = 0
Move all x terms to the left, all other terms to the right.
Add '-2' to each side
2 + -2 + -1x = 0 + -2
Combine like terms:
0 + -1x = 0 + -2
-1x = 0 + -2
Combine like terms:
-1x = -2
Divide each side by '-1'.
x = 2
Simplifying
x = 2
ANSWER #3:
x = 3.25
x = -0.92
STEP-BY-STEP
Simplifying
3x2 + -7x + -9 = 0
Reorder the terms:
-9 + -7x + 3x2 = 0
Solving for variable 'x'.
Divide each side by '3'.
-3 + -2.333333333x + x2 = 0
Add '3' to each side
-3 + -2.333333333x + 3 + x2 = 0 + 3
Reorder the terms:
-3 + 3 + -2.333333333x + x2 = 0 + 3
Combine like terms:
0 + -2.333333333x + x2 = 0 + 3
-2.333333333x + x2 = 0 + 3
Combine like terms:
-2.333333333x + x2 = 3
The x term is -2.333333333x. Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.
Add '1.361111112' to each side
-2.333333333x + 1.361111112 + x2 = 3 + 1.361111112
Reorder the terms:
1.361111112 + -2.333333333x + x2 = 3 + 1.361111112
Combine like terms:
1.361111112 + -2.333333333x + x2 = 4.361111112
Factor a perfect square on the left side:
(x + -1.166666667)(x + -1.166666667) = 4.361111112
Calculate the square root of the right side: 2.088327348
Break this problem into two subproblems by setting
(x + -1.166666667) equal to 2.088327348 and -2.088327348.
SUBPROBLEM 1
x + -1.166666667 = 2.088327348
Simplifying
x + -1.166666667 = 2.088327348
Reorder the terms:
-1.166666667 + x = 2.088327348
Solving for variable 'x'.
Move all x terms to the left, all other terms to the right.
Add '1.166666667' to each side
Combine like terms:
0.000000000 + x = 2.088327348 + 1.166666667
x = 2.088327348 + 1.166666667
Combine like terms:
2.088327348 + 1.166666667 = 3.254994015
Simplifying
x = 3.254994015
SUBPROBLEM 2
x + -1.166666667 = -2.088327348
Simplifying
x + -1.166666667 = -2.088327348
Reorder the terms:
-1.166666667 + x = -2.088327348
Solving
-1.166666667 + x = -2.088327348
Solving for variable 'x'.
Move all x terms to the left, all other terms to the right.
Add '1.166666667' to each side of the equation.
-1.166666667 + 1.166666667 + x = -2.088327348 + 1.166666667
Combine like terms: -1.166666667 + 1.166666667 = 0.000000000
0.000000000 + x = -2.088327348 + 1.166666667
x = -2.088327348 + 1.166666667
Combine like terms: -2.088327348 + 1.166666667 = -0.921660681
x = -0.921660681
Simplifying
x = -0.921660681
ANSWER #4:
x = -5
x = 5
STEP-BY-STEP:
Simplifying
x2 + -25 = 0
Reorder the terms:
-25 + x2 = 0
Solving
-25 + x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '25' to each side
-25 + 25 + x2 = 0 + 25
Combine like terms: -25 + 25 = 0
0 + x2 = 0 + 25
x2 = 0 + 25
Combine like terms: 0 + 25 = 25
x2 = 25
Simplifying
x2 = 25
Take the square root of each side:
x = {-5, 5}
(-3,-6) & (1,1)
find the slope
Answer:
slope = (4,7)
Step-by-step explanation:
After plotting on a graph and connecting them, count how many squares to the right it is and then how many or up. You should move to the right 4 times and up 7 times. :))
Hope this helps :)
The expression (2x^2)^3 is equivalent to _____. ^this is for to remind that the 2 and 3 are exponents
a.6x2
b.6x5
c.8x6
Answer:
c
Step-by-step explanation:
(2x²)³ = 2³(x^(2×3))
=2³x⁶
=8x⁶
Estimate a 10% tip on a bill of $179.54 by first rounding the bill amount to the nearest ten dollars.
Answer:
Step-by-step explanation:
First we start off by rounding that number to the nearest ten, not tenTH. This rounding would lead to 180$. Now comes the percent part. Here i use the percent equation, which is ____ is ____% of _____. our percent is 10%, and our whole goes at the end, 180$. The part( or the tax), becomes x, and now we translate. Is means = and of means times. so x=.10(180), and x will equal 18
so the tip will be around 18 dollars
hope it helped
Express each ratio as a unit rate. Round to the nearest tenth, if necessary.
140 miles on 6 gallons
a.23.3 mi/gal
c.0.042 mi/gal
b.840 mi/gal
d.13.6 mi/gal
Answer:
a
Step-by-step explanation:
because I heard that it was subject to the same time period in which the most popular ob on pov and i was in the empty classroom But I think I can dye my hair It is the most popular ob on pov and i was in the car atm but my phone said the time was the only one ☝
Which expression is a factor of 18 x 2 - 15 x +2?
Answer:
(6x-1)(3x-2)
Step-by-step explanation:
18x²-15x+2 = 18x²-12x-3x+2= 6x(3x-2)-1(3x-2)=(6x-1)(3x-2)
A. Subtraction
B. Qoutient
C. Scientific Notation
D. Quadratic Equation
Answer: D: Quadratic Equation.
Step-by-step explanation:
y = a*x^2 + b*x + c is a polynomial of degree = 2, this is also called a quadratic equation (because the largest exponent is 2)
Then the correct option is D: Quadratic Equation
The other options are used for:
A: Subtraction:
This is for the difference between two numbers, a subtraction is X - Y.
B: Quotient:
This is for a division between two numbers, the quotient between X and Y is:
X/Y.
C: Scientific Notation:
This is used to simplify the notation of numbers with a lot of digits. Instead of write numbers like:
13,000,000
We can just write this as:
1.3*10^7
Alexander has pp pennies and nn nickels. He has a maximum of $0 worth of coins altogether. Write this situation as an inequality.
Answer:
p+5n≤0
Step-by-step explanation:
i just took it
Use the replacement set {4, 8, 21} to find the solution of the equation
7n - 4 = 24.
Answer:
n=4
Step-by-step explanation:
7n - 4 = 24
24 + 4 = 28
7n = 28
n = 4
OR plug in the sets you gave and see if they equal 24
12. Why is the Yellow River also known as "China's Sorrow?"
A. There have been many devastating floods on its banks.
B. Many ancient Chinese were killed by the Mongols there.
C. Many ancient Chinese were killed in a major battle there.
1. D. Many people drowned in the river.
Answer:
A
Step-by-step explanation:
;)
HELP ASAP ILL MARK YOU BRAINLIST IF YOU ACTUALLY HELP!!!
PS: the two answers that have a small checkmark next are both incorrect because those are the ones I chose so it’s not either of those two❗️
Problem:
Jimmy decomposed the rectangle shown into three smaller rectangles. Then he demonstrated the distributive property by modeling the area of the entire rectangle in terms of the three smaller rectangles.
Which equation could jimmy use? Select all that apply.
100 points! Will mark brainliest! Only answer if u know it!
Answer:
y = - 2x - 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{2}[/tex] x - 8 ← is in slope- intercept form
with slope m = [tex]\frac{1}{2}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{2} }[/tex] = - 2, then
y = - 2x + c ← is the partial equation
To find c substitute (- 3, - 4) into the partial equation
- 4 = 6 + c ⇒ c = - 4 - 6 = - 10
y = - 2x - 10 ← equation of perpendicular line
Step-by-step explanation:
Hey there!
The 1st equation is;
y= 1/2 x-8.............(i)
Comparing the equation y= mx+c. We get;
Slope (m1) = 1/2
The equation of point which moves through point (-3,-4).
(y-y1) = m2 (x-x1). {Use one-point formula to find out the equation}
(y+4) = m2 (x+3)..………(ii)
Now, we need to find m2.
So, the condition of perpendicular lines: m1*m2= -1.
[tex] \frac{1}{2} \times m2 = - 1[/tex]
[tex]m2 = - 2[/tex]
Therefore, m2 = -2.
So, let's keep value of m2 in eqaution (ii).
y+4 = -2(X+3)
y+4 = -2x-6
y = -2x -10.
Therefore, the eqaution is y= -2x-10.
Hope it helps......
a candy shop contains a total of 300 items there are 125 chocolates 97 cookies and T number of truffles write an equation that represents the situation
Given:
A candy shop contains a total of 300 items.
There are 125 chocolates 97 cookies and T number of truffles.
To find:
The equation for the given situation.
Solution:
We have,
Number of chocolates = 125
Number of cookies = 97
Number of truffles = T
Total items = [tex]125+97+T[/tex]
A candy shop contains a total of 300 items. So,
[tex]125+97+T=300[/tex]
Therefore, the required equation for the given situation is [tex]125+97+T=300[/tex].
I need 6x-8=5x+4 solved
Answer:
Step-by-step explanation:
Here you go mate
Step 1
6x-8=5x+4 Equation/Question
Step 2
6x-8=5x+4 simplify
6x-8=5x+4
Step 3
6x-8=5x+4 Subtract
x-8=4
Step 4
x-8=4 Add 8
answer
x=12
Hope this helps
Answer:
The answer is x = 12
Step-by-step explanation:
So, first you're going to add 8 on both sides
6x - 8 +8 = 5x + 4 + 8
Then simplify
6x = 5x + 12
Then subtract 5x from both sides
6x - 5x = 5x + 12 - 5x
Then simplify again and you get
x = 12
Hope this helped!
Solve the following inequality.
8x-1<15
Answer:
x < 2
Step-by-step explanation:
I hope this help you
IS 3.
3y-2x
loss
Percentage loss =
X 100%.
selling price
is
Choose the correct answer from the given four alternaives.
In a school, 58% of the total numbers of students are boys. If the
number of girls is 840, how many students are there in the class?
a. 2000
b. 1800
C. 1500
d. 2100
Birr 300 is invested at 6% simple interest per annum. How long will it
take for the interest to amonut Birr 180?
a. 12 years
b. 10 years
c. 8 years
d. 24 years
The decimal form of 672.937% is
a.6.72937
d. 6729.37
b. 67.2937
c. 672.937
9. The simple interest on Birr 400 invested for 4 months was Birr 12.
What is the annual (yearly) rate of interest?
d) 9%
a. 36%
b. 4.8 %
c. 7%
Answer:
1. a. 2,000
2. b. 10 years
3. a. 6.72937
4. d. 9%
Step-by-step explanation:
1. If 58% are boys, the percentage of girls is:
= 100 - 58
= 42%
That means 840 is 42% of the students in class. The students in class are therefore:
= 840 / 42%
= 2,000 students
2. If Birr 300 is invested at 6% per year, the amount in interest it earns per year is:
= 300 * 6%
= Birr 18
To get to Birr 180, it would take:
= 180/18
= 10 years
3. When a number is in percentage that means that it is a fraction with the denominator being 100. The number is decimal will therefore be it divided by 100:
= 672.937/100
= 6.72937
4. The investment accrued Birr 12 out of Birr 400 in 4 months. This means that it increased by:
= 12/400
= 3%
A year can be divided into three by 4 months. This means that the yearly rate is therefore:
= 3% * 3
= 9%
please help it's due today
Answer:
one pound of meat is $3.89
Step-by-step explanation:
93.36/8=11.67
11.67/3=3.89
Answer:
it is now by this
x^2 by jai ieye play free fire boyahh
Use the diagram to the right to complete the statement. If m
m
A publishing company creates a book for young children. To find the number of pictures on the page, the book says to multiply the page number by 2 and add 3.
Which would best complete the pattern?
A. 4 x 2 = 8, 8 + 3 = 11, 11
B. 4 + 2 = 6, 6 + 4 = 10, 10
C. 4 = 2, 2 + 6 = 8, 8
Answer:
A
Step-by-step explanation:
A is the only choice that has all of the steps and in order.
Answer:
sdfg
Step-by-step explanation:
xcvbn
which linear inequality is represented by the graph? O y<2/3x+3 (A)
O y>3/2x+3 (B)
O y>2/3x+3 (C)
O y<3/2x+3 (D)
Answer:
C y>2/3x+3
Step-by-step explanation:
Use y=mx+b format. The B is the y-intercept. From the y-intercept (3), go up two then to the right 3. That gives you the slope, or mx which is 2/3. The area shaded is above so it would be the greater than symbol.
(Will give Brainliest to serious answer) A glass dropper delivers liquid so that 25 drops equal 1.00 milliliters. How many drops would be required to get 0.68 liters?
Answer:
17000 drops in the bottle
Can somebody help me on this thanks
Answer:
Add 3/4 to both sides (the last option)
Step-by-step explanation:
Since you want to isolate f and the expression on one side is f - 3/4, you have to add 3/4 so that the -3/4 cancels out. When you do that, you also have to add 3/4 to the other side so that the equation stays balanced.
Please help... please
2/5k - 3/5 + 1/10k ?
Answer:
Since it is not an equation u wont get a numerical value
so basically its just fraction addition and subtraction
which is ((2/5)-(3/5)+(1/10))k
so answer is (-1/10)k
Step-by-step explanation:
[tex] \frac{2}{5} k \: - \frac{3}{5} + \frac{1}{10} k[/tex]
[tex] \frac{4}{10} k + \frac{1}{10} k - \frac{3}{5} [/tex]
[tex] \frac{5}{10} k - \frac{3}{5} [/tex]
[tex] \frac{k}{2} - \frac{3}{5} [/tex]
2)
Which graph represents a function?
A)
B)
A
D)
Answer:
it should be c im pretty sure it's a quadratic function graph
How many solutions exist for the given equation?
3x + 13 = 3(x + 6) + 1
Answer:
no solution
Step-by-step explanation:
3x + 13 = 3x + 18 +1
<=> 0x = 6 (impossible!)
Answer:
zehero
Step-by-step explanation:
The histogram to the right represents the weights (in pounds) of members of a certain high-school mathmath team. How many team members are included in the histogram?
Answer:
13 team members are included in the histogram.
Step-by-step explanation:
Consider the provided information.
The required histogram is shown in the figure.
We need to find the team members included in the histogram.
For this, we will add the frequency or the height of each bar.
2+1+1+5+1+3=13
Hence, 13 team members are included in the histogram.
Find y.
Round to the nearest tenth:
31°
y
X
400 ft
y = [? ]ft
Answer:
y = 240.3 ft
Step-by-step explanation:
Use trigonometric ratio to find y:
Thus,
Reference angle = 90° - 31° = 59°
Opposite = 400 ft
Adjacent = y
Therefore:
Tan 59° = 400/y
Multiply both sides by y
y*tan 59 = 400
Divide both sides by tan 59
y = 400/tan 59
y = 240.3 ft (to the nearest tenth)
Find the area of each geometric figure or product of the polynomial.
(-6r + 3) (-3r - 3)
A) 18r2 + 9r - 9
B) -30r2 - 38r + 16
C) 40r2 + 20r - 20
D) 40r2 + 60r + 20
Answer:
Step-by-step explanation:
Nose
there are 3 more games of cribbage being played than games of chess being played. how many of each game are being played. explain and show your reasoning
Answer:
Step-by-step explanation:
8 chess & 11 cribbage
Pawl,colin and bria are waiters. One night the restaurant earns tips totalling £78.40 the share the tips in the ratio 2.1.5 how much more does Brian get over colin
Answer: Brian gets $39.2 more over Colin.
Step-by-step explanation:
Given: Total tip amount = £78.40
The ratio of the share of tips for Pawl, Colin and Bria is 2:1 :5.
Let tip amount for Pawl = 2x, tip amount for Colin = x , tip amount for Bria = 5x
Then, 2x+x+5x= 78.40
[tex]\Rightarrow\ 8x = 78.40\\\\\Rightarrow x=\dfrac{78.40}{8 }\\\\\Rightarrow x=9.8[/tex]
Tip for Colin = $ 9.8 , Tip for Bria = 5($9.8)= $49
Difference = $(49-9.8) = $ 39.2
Hence, Brian gets $39.2 more over Colin.