Answer:
a) x = 5
b) x = 4
Step-by-step explanation:
a) 4x - 3 = 2x + 7 collect like terms
4x - 2x = 7 + 3
2x = 10 divide both sides by the coefficient of x
x = 5
b) 2x + 6 = 7x - 14 collect like terms
2x - 7x = -14 - 6
-5x = -20 divide both sidess by the coefficient of x
x = 4
The ordered pair below is a solution to which equation?
(40,5)
Answer: C
Step-by-step explanation: Let me know if you need an explanation.
Answer:
Step-by-step explanation:
I pretty sure it c
-Delilah
hope it helps
Darren and Quincy wanted to justify that the expression One-sixth (6 x + 12) minus one-half (4 x + 2) is equivalent to Negative x + 1. Their justifications are shown below. Darren’s Method: Substitute 2 into both expressions One-sixth (6 x + 12) minus one-half (4 x + 2) = one-sixth (6 (2) + 12) minus one-half (4 (2) + 2) = one-sixth (24) minus one-half (10) = negative 1. negative x + 1 = (negative 2) + 1 = negative 1 Quincy’s Method: Substitute 6 into both expressions One-sixth (6 x + 12) minus one-half (4 x + 2) = one-sixth (6 (6) + 12) minus one-half (4 (6) + 2) = one-sixth (48) minus one-half (26) = negative 5. negative x + 1 = (negative 6) + 1 = negative 5 Which explains who is correct? Only Darren is correct because he substituted x = 2 into the expressions. Only Quincy is correct because he substituted a number that is the same as the denominator of one of the fractions. Both are correct because after substituting the same value into both expressions, the result is the same. Both are correct because after submitting different values into each expression, the result is the same.
Answer:
Both are correct because after substituting the same value into both expressions, the result is the same.
Step-by-step explanation:
Given the expression:
(1/6)*(6*x + 12) - (1/2)*(4*x + 2)
Applying distributive property:
(1/6)*6*x + (1/6)*12 - (1/2)*4*x - (1/2)*2 =
= x + 2 - 2x - 1 =
= -x + 1
Then, for any number substituted into both equations, the result is the same
Answer:
c: Both are correct because after substituting the same value into both expressions, the result is the same.
Step-by-step explanation:
did it on edge 2020
Is the function f(x)= -(4/3)^-6x an exponential function?
Answer:
Yes
Step-by-step explanation:
The function f(x)= -(4/3)^-6x is exponential
What is the simplified form of the expression (x + 6)(7x − 1)
Step-by-step explanation:
[tex](x + 6)(7x - 1) \\ {7x}^{2} - x + 42x - 6 \\ {7x}^{2} + 41x - 6[/tex]
Answer:
7x^2+41x-6
Step-by-step explanation:
(x + 6)(7x − 1)
FOIL
first x*7x = 7x^2
outer: -1x
inner: 6*7x = 42x
last: -6
Add them together
7x^2 -x+42x -6
Combine like terms
7x^2 +41x -6
What is the factorization of 2x^2+9x+9
Answer:
(2x+3)*(x+3)
Step-by-step explanation:
1. How do you use the distance formula and slope formula to classify a quadrilaterals and triangles
Answer:
Both Distance formula and Slope formula are used to classify quadrilaterals and triangles, as Distance formula is used to calculate the length of each side while Slope formula is used to find the angle of a line with respect to an axis or another line.
We can classify the figure as finding the lengths of each side by using Distance formula. For example, if we find that a quadrilateral has all 4 sides equal, is it a square. If it has opposite sides equal, it can be a rectangle or a parallelogram, and so on. It can also tell whether a triangle is right angled, isosceles or equilateral.
Slope are used to find angles of the lines. If 2 lines have the same slope, it means they are parallel to each other. If the product of their slopes is -1, it means they are perpendicular to each other
What could be the dimensions of the rectangle with an area of 260 square feet?
Answer:
180*2
Step-by-step explanation:
180*2=260
please mark brainliest
find the x in the tringle
Answer:
3.5
Step-by-step explanation:
pythagorean therom 1.6^2+3^2=x^2
Answer:
x = 3.4
Step-by-step explanation:
→You can use the Pythagorean Theorem to solve this:
[tex]a^2+b^2=c^2[/tex]
→The "a," and "b," are the legs, 3 and 1.6, and the "c," is the hypotenuse, which we are trying to find.
[tex]1.6^2+3^2=c^2[/tex]
[tex]2.56 + 9 = c^2[/tex]
→Add like terms (2.56 and 9) together:
[tex]11.56 = c^2[/tex]
→We need to get "c," by itself, and to do this we need to square root both sides, like so:
[tex]\sqrt{11.56} =\sqrt{c^2}[/tex]
[tex]3.4 = c[/tex]
If m = 70° and m = 30°, then m 2 = 20 35 50
Answer:
the answer is 50
find the mean of this set of numbers: 19, 19, 9, 11, 13, 20, 19, 10
Step-by-step explanation:
The mean of this number is 16 because when you do the formula it adds up to 16, so the formula to find the mean of the numbers is: Firstly you order the numbers from smallest to largest, Next you add all the numbers together and divide the answer you get with the amount of the numbers you were talking about in the question.
This is geometry on delta math I have no idea how to do it please help me
Answer:
x = 9
Step-by-step explanation:
We know sum of interior angles of a polygon = [tex](n-2)\times 180[/tex]
For a triangle (having n = 3),
Sum of interior angles = (3 - 2)×180°
= 180°
In ΔVWX,
m∠V = (12x + 19)°
m∠W = (2x + 19)°
m∠X = (x + 7)°
And m∠V + m∠W + m∠X = 180°
(12x + 19)° + (2x + 19)° + (x + 7)° = 180°
(12x + 2x + x) + (19 + 19 + 7) = 180°
15x + 45° = 180°
15x = 180° - 45°
x = [tex]\frac{135}{15}[/tex]
x = 9
Therefore, value of x = 9.
Michelle needs to convert the function f(x) = x2 - 10x +31 to vertex form, fx) = (x - 1)2 + k, in order to find the minimum.
When she does this, what is the value of k in the vertex form of function ?
26
56
31
6
Answer:
the answer is 6
Step-by-step explanation:
The set of points P(0, 3), Q(2, 0), R(4, -3) are collinear and the line has a slope of _____.
-3/2
3/2
- 1/2
1/2
Answer:
-3/2,collinear.
Step-by-step explanation:
slope of PQ=(0-3)/(2-0)=-3/2
eq. of line PQ is
y-3=-3/2(x-0)
y-3=-3/2 x
or2y-6=-3x
or 3x+2y=6
if R(4,-3) lies on it,then
3(4)+2(-3)=6
12-6=6
or 6=6
which is true.
Hence points P,Q,R are collinear.
and line has aslope=-3/2
Answer:
-3/2
Step-by-step explanation:
Two friends, Terrence and Eric share a certain amount of money in the ratio 5:9. If Terrence gets $56 less than Eric find the total amount of money that is shared between the two boys.
Answer:
239.556
Step-by-step explanation:
Difference of ratio=9-5=4
Sum of ratio=9+5=14
we know that Eric got $56 more
which means
4/14=56
1/14=56/4
1/14=14
1=14*14
=196
now we need to find
9/14=(196*14)/9
= 239.556
The angles of a quadrilateral are represented by 9x, (20x + 16) (12x + 10), and (7x- 2)°. What is the value of x?
Answer:
x=7
Step-by-step explanation:
9x+20x+16+12x+10+7x-2=360
48x+24=360
48x=360-24
48 x=336
x=336/48=7
What is the answer to this question? Please help!
Answer:
B
Step-by-step explanation:
[tex]-3\sqrt{2}+3\sqrt{8}= \\\\-3\sqrt{2}+3\sqrt{2\cdot 2^2}= \\\\-3\sqrt{2}+6\sqrt{2}= \\\\3\sqrt{2}[/tex]
Hope this helps!
The difference of 7y+1 and 4y−12 is subtracted from 10.
Answer:
-3y-3
Step-by-step explanation:
The difference:
7y+1 - (4y−12)= 3y + 13
Subtraction:
10- (3y+13)= -3y-3
answer pls for brainliest!!
Answer:
45
Step-by-step explanation:
5*3 to the second power
= 5* 3 * 3
= 15*3
= 45
Answer:
5 × 3^2
5 × 3 x 3
5 × 9
45 is your answer
Write the slope intercept form through (-1, -1), perp to y= 1/3x -3
Answer:
y = - 3x - 4
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}{3}[/tex] x - 3 ← is in slope- intercept form
with slope m = [tex]\frac{1}{3}[/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}{3} }[/tex] = - 3 , thus
y = - 3x + c ← is the partial equation
To find c substitute (- 1, - 1) into the partial equation
- 1 = 3 + c ⇒ c = - 1 - 3 = - 4
y = - 3x - 4 ← equation of perpendicular line
If a circle has a radius of 7 square root of 2 and it has a shaded region with an area of 34 pi, find the angle within the shaded region.
Answer:
The angle of the shaded region is 124.9°
Step-by-step explanation:
Since there's an region inside the circle that is shaded and has an area of 34 pi square units, we can apply the circle's sector area's formula in order to find the angle of this region. The formula is given by:
[tex]\text{sector area} = \frac{\text{angle}*\pi*r^2}{360}\\[/tex]
Applying the data from the problem gives us:
[tex]34*\pi = \frac{angle*\pi*(7*\sqrt{2})^2}{360}\\34 = \frac{angle*(49*2)}{360}\\98*angle = 34*360\\angle = \frac{12240}{98} = 124.9\°[/tex]
The angle of the shaded region is 124.9°
ANYONE PLEASE HELP! (MARKS BRAINLIEST FOR HELPIING)
1) In the quadratic equation, k represents a real number.
3x^2+2kx+2=0
Which value of k gives imaginary solutions to the equation? Select all the values that apply.
A. − 5
B. − 3
C. − 1
D. 2
E. 3
F. 4
2) 1/2 x+12=8+4( x+1)
Which could be a correct first step to solve the equation? Select all the steps that apply.
A. Distribute 4 to the quantity ( x+1).
B. Add − 8 to each side of the equation.
C. Distribute 12 to the quantity ( x+1).
D. Multiply each side of the equation by 2.
E. Subtract 12 from each side of the equation.
F. Add together the 8 and the 4 on the right side of the equation.
G. Multiply the left side of the equation by 2 to eliminate the fraction.
3) In the equation of f(x) shown, r and s are positive real numbers.
f(x)=x^2−2(r−s)x+(r−s)^2+(r+s)
Select the options from the drop-down menus to correctly rewrite f(x).
FILL IN: f(x)= ( ......... ......... )2 ..........
4) A city’s population, P, changes according to the function P( x )=50,000 ( 0.95 )^x. where x represents the number of years after the year 2000.
Select the options from the drop-down menus to complete an accurate description of the population.
The population of the city in the year 2000 was(...……..) . The population is (..............) by (..........)each year.
Answer:
I found it on quizlet and it helped me out a lot :)
Step-by-step explanation:
just look up your question on quizlet then tap on a quiz then tap on view flashcards and once you see your question stop and tap the flashcard then the flashcard will flip and your answer will be on the back of it
What does the point marked on the green line represent?
Answer: x-intercept
The x-intercept is the point where a line crosses the x-axis.
All x-intercepts have a y-coordinate of 0.
As an ordered pair, we can write this as (-19.164, 0).
tina equally shares 8 cookies among herself and her 4 friends. which fraction shows how many cookies each person gets
PLZ ASAP
Answer: 1 3/5
Step-by-step explanation:
if you have 8 cookies and want to share it with 5 total people you divide it so 8/5 is 1.6
FIRST CORRECT ANSWER GETS BRAINLIEST!!! 20 POINTS!!!!!
Answer:
14
Step-by-step explanation:
When you plug this expression into the calc, you should get 14 as your answer.
Answer:
14
Step-by-step explanation:
-3(7+5)
------------ + 9(2)
3^2
PEMDAS
Parentheses first
-3(12)
------------ + 9(2)
3^2
Then exponents
-3(12)
------------ + 9(2)
9
Then multiply the top of the fraction
-36
------------ + 9(2)
9
Complete the fraction
-4 + 9(2)
Finish multiplying
-4+18
14
What is the volume of the solid figure below?
28 m3
96 m3
104 m3
128 m3
Answer:
C!
Step-by-step explanation:
I would split the figure into 2 blocks by the dashed line.
Find the dimensions of each block.
The larger block's dimensions are
3 x 4 x 6
The smaller block's dimensions are
4 x 2 x 4
Now find the volumes.
72
32
Add the volumes
104
Answer:
It is C 104 m3
Step-by-step explanation:
Antonina needs to have worked at least 90 volunteer hours to graduate. She has already volunteered with a housing organization over the summer for 52 hours. Antonina needs to tutor after school for 3 hours per week to complete the remainder of her volunteer hours. If w is the number of weeks that Antonina needs to tutor in order to complete her volunteer hours, which of the following inequalities best models the situation described above?
Answer:
No. of hours already volunteered + total volunteer hours dedicated in w weeks > = Least volunteer hours required to graduate
=> 52 + 3w >= 90
Step-by-step explanation:
Given that Antonina needs to have worked at least 90 volunteer hours to graduate means that she needs to volunteer either for 90 hours or more than that . Mathematically this can be written as
Total volunteer hours required to graduate greater than or equal to 90
Total volunteer hours required to graduate>= 90
No. of hours already volunteered = 52
no. of hours left for volunteering = Total volunteer hours required to graduate - No. of hours already volunteered = 90 - 52 = 38
No. of hours in one week she can dedicate for volunteering= 3
if w is the number of weeks that Antonina needs to tutor in order to complete her volunteer hours
then total volunteer hours dedicated in w weeks will be = w*No. of hours in one week she can dedicate for volunteering = w*3 = 3w
Thus,
No. of hours already volunteered + total volunteer hours dedicated in w weeks > = Least volunteer hours required to graduate
=> 52 + 3w >= 90
I need help with this
Answer:
p, because triangle ABC - triangle EDC
Step-by-step explanation:
Moana and Maui are greatly outnumbered by the kakamora, coconut pirates. If there are two hundred and thirty thousand more kakamora than fifty-seven times the both of them, how many kakamora are there?
Answer :35,000
Step-by-step explanation:
I’m not sure if this is correct but I think you just have to multiply the two
Finding surface area (picture provided)
Answer:
A
Step-by-step explanation:
Remember that triangle's area is 1/2 x b x h. But we have 2 congruent triangles so we have 2 x 1/2 x b x h. so the area of 2 triangles is b x h.
You should know the areas of other sides.
5 x 6 + 6 x 12 + 6 x 13 + 5 x 12
Simplify!
30+72+78+60
90+150
240
HELP!
Consider the below equation:
0.5x-7= sqrt(-5x+29)
Give 2 different ways to show that the equation does not have any solutions. One way must be solving algebraically, and the other way must be by graphing.
Answer:
Algebraically
0.5x-7= √(-5x+29)
(0.5x-7)² = -5x+29
(0.5x)² - 2*0.5x*7 + 7² = -5x+29
0.25x² - 7x + 49 + 5x - 29 = 0
0.25x² - 2x + 20 = 0
Its discriminant is:
b² - 4*a*c
(-2)² - 4*0.25*20
-16 < 0
Therefore, the equation has no solutions.
Graphically
In the picture attached, the plots of the functions are shown. We can see that they don't intersect each other, and that is why there is no solution.
