Answer:
x = 3 + sqrt(13) or x = 3 - sqrt(13) or B)
Step-by-step explanation:
Solve for x:
x^2 - 6 x - 4 = 0
Hint: | Solve the quadratic equation by completing the square.
Add 4 to both sides:
x^2 - 6 x = 4
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 9 to both sides:
x^2 - 6 x + 9 = 13
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x - 3)^2 = 13
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x - 3 = sqrt(13) or x - 3 = -sqrt(13)
Hint: | Look at the first equation: Solve for x.
Add 3 to both sides:
x = 3 + sqrt(13) or x - 3 = -sqrt(13)
Hint: | Look at the second equation: Solve for x.
Add 3 to both sides:
Answer: x = 3 + sqrt(13) or x = 3 - sqrt(13)
use the elimination method to solve the system of equations. choose the correct ordered pair. 6x-4y=-8 and 11x+4y=76
Answer:
(4,8)
Step-by-step explanation:
6x-4y=-8
11x+4y=76 eliminate y
6x+11y=-8+76
17 x=68
x=68/17=4
substitute x :
6x-4y=-8
6(4)-4y=-8
-4y=-8-24
y=-32/-4
y=8
Solve the following equation (for x) using inverse operations:
-4x + 6 = 2x + 36
Answer:
[tex]x=-5[/tex]
Step-by-step explanation:
[tex]-4x + 6 = 2x + 36[/tex]
Add -2x and -6 on both sides.
[tex]-4x + 6-2x-6 = 2x + 36-2x-6[/tex]
[tex]-4x-2x=36-6[/tex]
Combine like terms.
[tex]-6x=30[/tex]
Divide both sides by -6.
[tex]\frac{-6x}{-6} =\frac{30}{-6}[/tex]
[tex]x=-5[/tex]
Answer:
x = -5
Step-by-step explanation:
Group like terms together: On the right side we get 2x + 4x = 6x. On the left side we get 6 - 36 = - 30.
Then 6x = -30, and x = -5.
Express $\sqrt{x} \div\sqrt{y}$ as a common fraction, given: $\frac{ {\left( \frac{1}{2} \right)}^2 + {\left( \frac{1}{3} \right)}^2 }{ {\left( \frac{1}{4} \right)}^2 + {\left( \frac{1}{5} \right)}^2} = \frac{13x}{41y} $
A common fraction is a fraction whose denominator is the same with another fraction.
[tex]$\sqrt{x} \div\sqrt{y}[/tex] as a common fraction is [tex]\sqrt \frac{x}{y}}[/tex]
The expression is given as:
[tex]$\sqrt{x} \div\sqrt{y}[/tex]
Express as fraction
[tex]$\sqrt{x} \div\sqrt{y} = \frac{\sqrt x}{\sqrt y}[/tex]
Rewrite as a common fraction
[tex]$\sqrt{x} \div\sqrt{y} = \sqrt \frac{x}{y}}[/tex]
Hence, [tex]$\sqrt{x} \div\sqrt{y}[/tex] as a common fraction is [tex]\sqrt \frac{x}{y}}[/tex]
Read more about common fractions at:
https://brainly.com/question/8672817
help me 24 - 42 ÷ 8 • 2 + 4
Step-by-step explanation:
bodmas :3
1. 42 ÷ 8 x 2 = 5.25 x 2
= 10.5
2. 24 - 10.5 + 4 = 17.5
Answer:
17.5
Step-by-step explanation:
24-(42/8)×2+4
=24-(5.25×2)+4
=24-10.5+4
=13.5+4
=17.5
What is the standard form of this function? f(x) = -(x − 4)2 + 2 A. f(x) = -x2 + 4x − 30 B. f(x) = x2 + 8x − 14 C. f(x) = -x2 + 8x − 14 D. f(x) = x2 + 4x − 30
Answer:
C
Step-by-step explanation:
Standard form is f(x) = ax² + bx + c.
f(x) = -(x - 4)² + 2
= -(x² - 8x + 16) + 2
= -x² + 8x - 16 + 2
= -x² + 8x - 14
Hi,
the correct answer is C
This is the correct equation: f(x) = -x^2 + 8x - 14
XD
P.S. (on the image I sent the answer was B but on your test the correct one is C. The equation is still the same.)
A polynomial has been factored below, but some constants are missing.
Answer:
From the information in the problem, the value of a is 2, the value of b is 2, and the value of c is -6.
Step-by-step explanation:
The first thing we have to do is factor the equation in order to find the value of a, b, and c.
2x³ - 8x² - 24x
Find a common factor that can be easily divisible among all the terms. This common factor is 2x. Factor the equation.
2x(x² - 4x - 12)
Now, we have to factor out the equation in the parentheses. we do this by multiplying the first term by the last term first. Since there is no coefficient number for x², then we assume this number to be 1.
1 × -12 = -12
Now, we have to find two numbers that multiply to get -12 but add together to get -4. These numbers are 2 and -6. Let's plug these numbers into the equation.
2x(x² + 2x - 6x - 12)
Group the first and second terms together and group together the third and last term together in the parentheses.
2x((x² + 2x) + (-6x - 12))
Factor the equation in parentheses.
2x(x + 2)(x - 6)
So, the value of a is 2, the value of b is 2, and the value of c is -6.
I NEED HELP ASAP What is the value of Fraction 1 over 2x3 + 3.4y when x = 3 and y = 4?
Write as an equation: 1/3 of a shipment of books weights 28 pounds.
A. f - 1/3 = 28
B. 3/f = 28
c. 1/3 + f = 28
D. f/3 = 28
Answer:
Option D
Step-by-step explanation:
A third of a shipment of books is 28 pounds. Assuming that 'f' will be the total weight of the entire shipment, we would divide 'f' by 3 to get 28.
The answer should be D.
WILL AWARD BRAINLIEST
What is the value of a?
Find x value for the point that splits segment CD in half if point C is located at (−2, 4) and point D is located at (3, 7). (5 points) 5.5 5 0.5 3
Answer:
0.5
Step-by-step explanation:
To find the midpoint, add the x values and y values respectively. Then divide the results by 2. So, the midpoint of CD will be (0.5,5.5). The x value is 0.5.
Hey there! :)
Answer:
0.5.
Step-by-step explanation:
Use the midpoint formula to solve for the coordinates:
midpoint = [tex]({\frac{x_{1}+x_{2}}{2} },{\frac{y_{1}+y_{2}}{2} } )[/tex]
Plug in the points for C and D:
[tex]({\frac{-2+3}{2} },{\frac{4+7}{2} } )[/tex]
Simplify:
[tex]({\frac{1}{2} },{\frac{11}{2} } )[/tex] These are the coordinates for the midpoint.
The x-value of the coordinate is 1/2, or 0.5.
What is the additive inverse of the polynomial? -7y2+x2y+-3xy-7x2
Answer:
The addidtive inverse is 7y²- x²y - 3xy + 7x²
( here we need to change the sign of each of the term )
Answer:
7y2-x2y+3xy+7xy
Step-by-step explanation:
I got it right
what is 2+3. if not answer get band
Answer:
5
hope your like this a swer
stay at home stay safe
bye bye
pls mark me as BRAINLIEST
Answer:
5
Step-by-step explanation:
If you have 2 of something and then you get 3 more of the same thing, you can use your fingers to count how much you have in total now, which is 5.
Find the volume of a pyramid with a square base, where the side length of the base is
11.1 m and the height of the pyramid is 8.2 m. Round your answer to the nearest
tenth of a cubic meter.
Answer:
336.8 cubic meter or 336.8m³
Step-by-step explanation:
In other to solve the above question we would be using the volume of a square based pyramid.
The formula for the volume of a square based pyramid is
1/3a²h
In the above question we are given the following values as:
Side length of the base = a = 11.1 m
Height of the pyramid = h = 8.2m
Volume of the square based pyramid = 1/3 × 11.1² × 8.2
= 336.774 cubic meter or 336.774 m³
Approximately to the nearest tenth = 336.8 cubic meter or 336.8m³
Which shape can be classified as a rectangle? Rhombus Square Trapezoid Parallelogram
Answer:
The answer is Parallelogram!
Step-by-step explanation: Unlike a square, a Parrallelogram has 2 same short sides, and 2 long! But a square has all same sides; so, it's not sqaure.
Answer:
square
Step-by-step explanation:
A rectangle is a quadrilateral with 4 right angles.
A square is a quadrilateral with 4 right angles and 4 congruent sides, so s square is a rectangle.
Can you find the missing segment to the triangle in the image attached
Answer:
missing segment= 25
the answer and how to do the problem in paper
Assume a fair deck of playing cards. Find the probability of drawing a 10, replacing it and drawing an ace.
Answer:
There are 52 cards in a deck. The total number of outcomes possible when picking 2 cards and replacing them is 52 * 52 = 2704.
There are 4 10s and 4 aces so the total number of successful outcomes = 4 * 4 = 16.
Probability = 16 / 2704 = 1 / 169
50 points!!! What is the common ratio of the geometric sequence below? –2, 4, –8, 16, –32, ...
Answer:
-2
Step-by-step explanation:
each number is being multiplied by -2 to get to the next number
A. -4/2 but if you factor it it will be -2
someone please help After putting 5 gallons of gas into your car, the tank was full. If the tank holds 13 gallons, how much gas was in it before you filled it up?
Answer:
8 gallons were in the tank beforehand.
Step-by-step explanation:
Answer:
8 gallons of gas
Step-by-step explanation:
13-5=8
On a piece of paper, graph y < 3/4x + 2. Then determine which answer choiceu
matches the graph you drew.
Answer:
Graph A is the answer
Step-by-step explanation:
Graph A is correct.
We have an inequality -
[tex]y < \frac{3x}{4}+2[/tex]
We have to graph this inequality and select the correct option.
What is inequality?Inequality in mathematics is a relation that is used to compare two or more algebraic expressions.
We have in our question an inequality as -
[tex]y < \frac{3x}{4}+2[/tex]
Follow the following steps to reach the graph -
STEP 1 ->
Replace the ' < ' sign with ' = ' sign and plot the graph of the equation formed - [tex]y = \frac{3x}{4}+2[/tex]
which is same as y = mx + c.
On comparing : m = [tex]\frac{3}{4}[/tex] and c =2.
Therefore, this line intersects the y - axis at the point (0, 2).
STEP 2 ->
Since the line does not pass through (0,0) we can consider it as our test point. Substituting x = y = 0 in the inequality, we get -
0 < 0 + 2
0 < 2, which is true.
We will shade the area in which (0,0) lies.
STEP 3 ->
Since the inequality is a strict inequality, the line will be a dotted line.
Hence, Graph A is correct.
To solve more questions on plotting the graphs of inequality, visit the link below -
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Knowing that 6 < x < 7 and 10 < y < 12, find the possible values of
x + y, y - x, xy, y/x
Answer:
x+y:
16<x+y<19
y-x:
3<y-x<6
xy:
60<xy<84
y/x:
10/7<y/x<2
Step-by-step explanation:
For x+y, it'll be
6<x<7
+
10<y<12
=16<x+y<19
____
y-x:
10<y<12
--
6<x<7
because of the negative sign the x inequality is reversed so it is -7<x<-6
and then you do the math and get 3<y-x<5
________
xy:
10<y<12
x
6<x<7
you multiply and get 60<xy<84
________
y/x:
10<y<12
divided by
6<x<7
now what you do is you have to switch around the signs for the x inequality and everything becomes its reciprocal. So the x inequality becomes 1/7<1/x<1/6 and then you multiply and get 10/7<y/x<12/6
Please give me a brainliest award. This took so long. I hope this helped.
Inequalities are used to make non-equal comparisons between two expressions. The inequality signs are: [tex]\ne, >, <, \ge, \le[/tex].
The solutions and possible values to the inequalities are:
[tex]16 < x + y < 19[/tex] [tex]\to[/tex] [tex]x + y= \{17,18\}[/tex]
[tex]4 < y - x < 5[/tex] [tex]\to[/tex] [tex]y - x = \{4.5, ...,4.9\}[/tex]
[tex]60 < xy < 84[/tex] [tex]\to[/tex] [tex]xy = \{61,62,...83\}[/tex]
[tex]1.67 < \frac{y}{x} < 1.71[/tex] [tex]\to[/tex] [tex]\frac{x}{y} = \{1.67,1.68...1.70\}[/tex]
Given that:
[tex]6 < x < 7[/tex] and [tex]10 < y < 12[/tex]
To calculate the possible values of [tex]x + y[/tex], we simply add both inequalities; i.e.
[tex](6 < x < 7) + (10 < y < 12)[/tex]
This gives:
[tex]6 + 10 < x + y < 7 + 12[/tex]
[tex]16 < x + y < 19[/tex]
This means that the possible values of [tex]x + y[/tex] are between 16 and 19 (both exclusive). So, some possible values are:
[tex]x + y= \{17,18\}[/tex]
To calculate the possible values of [tex]y - x[/tex], we simply subtract the inequality of x from y; i.e.
[tex](10 < y < 12) - (6 < x < 7)[/tex]
This gives:
[tex]10 - 6 < y - x < 12 - 7[/tex]
[tex]4 < y - x < 5[/tex]
This means that the possible values of [tex]y - x[/tex] are between 4 and 5 (both exclusive). So, some possible values are:
[tex]y - x = \{4.5, ...,4.9\}[/tex]
To calculate the possible values of [tex]xy[/tex], we simply multiply both inequalities. i.e.
[tex](6 < x < 7) \times (10 < y < 12)[/tex]
This gives:
[tex]6 \times 10 < x \times y < 7 \times 12[/tex]
[tex]60 < x \times y < 84[/tex]
[tex]60 < xy < 84[/tex]
This means that the possible values of [tex]xy[/tex] are between 60 and 84 (both exclusive). So, some possible values are:
[tex]xy = \{61,62,...83\}[/tex]
To calculate the possible values of [tex]\frac{y}{x}[/tex], we simply divide the inequality of y by x. i.e.
[tex](10 < y < 12) \div (6 < x < 7)[/tex]
This gives:
[tex]\frac{10}{6} < \frac{y}{x} < \frac{12}{7}[/tex]
[tex]1.67 < \frac{y}{x} < 1.71[/tex]
This means that the possible values of [tex]\frac{y}{x}[/tex] are between 1.67 and 1.71 (both exclusive). So, some possible values are:
[tex]\frac{x}{y} = \{1.67,1.68...1.70\}[/tex]
Hence, the solutions and possible values to the inequalities are:
[tex]16 < x + y < 19[/tex] [tex]\to[/tex] [tex]x + y= \{17,18\}[/tex]
[tex]4 < y - x < 5[/tex] [tex]\to[/tex] [tex]y - x = \{4.5, 4.9...\}[/tex]
[tex]60 < xy < 84[/tex] [tex]\to[/tex] [tex]xy = \{61,62,...83\}[/tex]
[tex]1.67 < \frac{y}{x} < 1.71[/tex] [tex]\to[/tex] [tex]\frac{x}{y} = \{1.67,1.68...1.70\}[/tex]
Read more about inequalities:
https://brainly.com/question/20383699
Using addition rules, show how to add the two real numbers. 7 +(-14)
7 + (-14).
Because the second number is a negative number, the addition sign is replaced by the negative sign of the number, so the equation becomes:
7 - 14
The answer would be -7
Find the volume of a sphere 8 feet in diameter use 3.14 round your answer to the nearest tenth
(A) 150.7
(B) 267.9
(C) 83.7
(D)67.0
What one is it help me please
Answer:
B 267.9
Step-by-step explanation:
the formula is again the same, so you plug 4 in (because the radius is half the diameter) and solve to get around 267.9
Help asap please will give brainliest
Answer:
d. (x+2)/(-x²-5)
Step-by-step explanation
ƒ(x) = x + 2/(2x²)
The function is undefined when x = 0.
b. ƒ(x) = (2x + 4)/(3x + 3)
The function is undefined when 3x + 3 = 0, i.e., when x = -1.
c. ƒ(x) = (6x - 5)/(x² - 7)
The function is undefined when x² - 7 = 0, i.e., when x = √7.
d. ƒ(x) = (x+2)/(-x²-5) = -(x+2)/(x² + 5)
The function would be undefined if x² + 5 = 0, i.e., if x² = -5. However, the square of a real number cannot be negative.
This function has no excluded values.
Which of the following is a closed statement? Question 16 options: A) z is a positive number. B) x is an odd number. C) 30 is an odd number. D) y is not an odd number.
Answer:
Step-by-step explanation:B) x es un número impar
Answer:
B
Step-by-step explanation:
Please help :) Is the relationship shown by the data linear? If so model the data with an equation.
Answer:
y-5=5/4(x-1)
Step-by-step explanation:
the slope is 1.25
m=y2-y1/x2-x1=10-5/5-1=5/4=1.25
y-5=(5)/(4)(x-1)=
y=(5)/(4)x+(15)/(4) this one is linear
it is a linear function and the
Which input value produces the same output value for
the two functions on the graph?
O x= -1
O x=0
O x= 1
O x=2
Answer:
x=1
Step-by-step explanation:
it is the point of intersection of both lines which (1,1)
for x=1 both produce same value i.e.,1
The sales tax for an item was $19.20 and it costs $480 before tax. Find the sales tax rate. Write your answer as a percentage
Answer:
sales tax rate = 4%
Step-by-step explanation:
In this problem formula to express one term in percentage is used
To express x as percentage of y is given by (x/y*100) %
______________________________________________
Cost of item = $480
sales tax = $19.20
we have to find sales tax rate.
sales tax rate is percentage of cost price which will levied as tax .
thus, we have to find sales tax as percentage of cost price.
using the percentage cost as given above
sales tax as percentage = sales tax/ cost of item *100
sales tax as percentage = 19.20/480 *100 = 4%
Thus, sales tax rate is 4%.
It means that if cost price of item is $100 then $4 will be the sales tax for the item.
If d = the number of dogs, which variable expression represents the phrase below? the sum of the number of dogs and the 6 cats.
Answer:
D.
Step-by-step explanation:
" Sum" means "+".
The sum of the number of dogs and the 6 cats.
d + 6
Answer:
Option D
Step-by-step explanation:
Sum is Adding (+)
So,
The expression becomes
=> d+6
The ratio of men to women working for a company is 3 to 4. If there are 112 employees total, how many work for the company
Answer:
112
Since you stated 112 employees work for the company, and your question was how many work for the company, it is definetly
112.
Answer:112
Step-by-step explanation:
I ain’t making no explanation I’m just giving answers
Does this table represent a function ?why or why not ?
Answer:
Yes, because every x value corresponds to exactly one y value
Step-by-step explanation:
To be a function each x has to go to only one y
There is a one to one correspondence so this is a function