DO it step by step
- 1256/31.4 x 2
Solve this inequality algebracially. |3-x|>10
Answer:
x < -7 or x > 13
Step-by-step explanation:
3 - x < -10 or 3 - x > 10
-x < -13 or -x > 7
x > 13 or x < -7
Answer: x < -7 or x > 13
Answer:
x < -7 or x > 13
Step-by-step explanation:
Solving Absolute Value
[tex]|-x+3| > 10[/tex] We know that either -x + 3 > 10 or -x + 3 < -10Possibility 1:
Step 1: Subtract 3 from both sides.
[tex]-x + 3-3>10-3[/tex] [tex]-x > 7[/tex]Step 2: Divide both sides by -1.
[tex]\frac{-x}{-1} > \frac{7}{-1}[/tex] [tex]x < -7[/tex]Possibility 2:
Step 1: Subtract 3 from both sides.
[tex]-x + 3 - 3 < -10 - 3[/tex] [tex]-x < -13[/tex]Step 2: Divide both sides by -1.
[tex]\frac{-x}{-1} < \frac{-13}{-1}[/tex] [tex]x > 13[/tex]Therefore, the answer is x < -7 or x > 13.
A total of 372 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?
Answer:
248 tickets were students and 124 were adults! 372 ÷ 3 = 124 and 124 × 2 = 248 and 248 + 124 = 372 so
124 tickets for adults
and 284 tickets for students
Solve the equation
2x^2 + 27 = -13
Answer:
x=4.47
Step-by-step explanation:
this is the answer
What is the value of x
Check the picture below.
Find the slope of the line through each pair of points.
9) (17,-6), (-11,7)
10) (3, 4), (-4,-5)
11) (-20, 14), (17, 15)
12) (11, -18), (-1, -7)
Helpppp
Slope = (y2-y1) / (x2-x1)
9) (7 - -6)/(-11- 17) = 13/-28
10) (-5-4)/(-4-3)= -9/-7
11) (15-14)/(17- -20) = 1/37
12) (-7 - -18) /(-1 -11) = 11/-12
24 cm ,18cm ,c
We are looking for c
Step-by-step explanation:
we can find the value of c by Pythagoras theorem
according to Pythagoras theorem
h² = a² + b²
where
h = hypotenuse (i.e. longest side of a right angled triangle)
a = side
b = base
so, we have to find h or hypotenuse here
h² = (24)² + (18)²
h = 576 + 324 = 900
h² = √900 = 30
c = 30
therefore, value of c is 30.
Hope this answer helps you dear!
In a proportion, the first, second and the fourth terms are 121, 165 and 405 respectively. Find the third
term.
3) Eric had $30 when he started a job that paid him $9 an hour. Which equation below would represent the
amount of money Eric has, y, and the amount of hours he has worked, x?
A. y = 30x + 9
B. y = 9x - 30
C. y = -9x + 30
D. y = 9x + 30
Answer:
D. y = 9x + 30.
Eric has thirty dollars when he starts, so he would be adding 30, and since he makes 9 dollars an hour, it would be 9x. therefore the answer is 9x + 30
how do you know if a solution is extraneous?
Answer:to determine if a solution is extraneous, we simply plug the solution into the original equation.
Step-by-step explanation:
hope this helps!
Answer:
to determine if a solution is extraneous, we simply plug the solution into the original equation.
Step-by-step explanation:
Which statement describes the expression 9(8 + 25)?
Answer:
Where are the statements?
Step-by-step explanation:
Solve the simultaneous equations
3 x + 2 y = 18
3 x + y = 12
Answer:
x=2 , y=6
Step-by-step explanation:
3 x + 2 y = 18
3 x + y = 12
(-) (-) (-)
-------------------------------------------
y = 6
3x+6=12
=>3x=12-6
=>3x=6
=>x=6/3
=>x=2
Can i use some help? im really confused on how to show my work and all
Answer:
3/20
Step-by-step explanation:
15% = [tex]\dfrac{15}{100}[/tex]
Divide the numerator and denominator by 5
= [tex]\dfrac{3}{20}[/tex]
Answer:
3/20
15%/100% = 3/20 by dividing top and bottom by 5
15/5=3
100/5 =20
Hope this helps!
HELPP PLS ! THE ANSWER IS x=4 BUT ..
On the day a coffee shop first opened, it had 140 customers. 65% of the customers ordered a large coffee.
91 customers
Step-by-step explanation:
(140x65)/100=91
I have no clue what do you, can someone please explain
Answer:
a = 3 b = -18 c = 11 d = 0
Step-by-step explanation:
The table tells you what value the function will product (y) if you input the corresponding value of x.
So, for example, if you input the value of x = 1 into the function, you will get y = -4.
If we substitute x = 0 and y = 0 into the function we can find the value of d immediately:
0 = a(0)³ + b(0)² +c(0) + d
0 = 0 + 0 + 0 + d
0 = d
As d = 0, we can now eliminate d and write the function as:
y = ax³ + bx² + cx
Now substitute the remaining pairs of values into y = ax³ + bx² + cx to create 3 equations:
1) When x = 1, y = -4
⇒ a(1)³ + b(1)² + c(1) = -4
⇒ a + b + c = -4
2) When x = 2, y = -26
⇒ a(2)³ + b(2)² + c(2) = -26
⇒ 8a + 4b + 2c = -26
⇒ 4a + 2b + c = -13
3) When x = 3, y = -48
⇒ a(3)³ + b(3)² + c(3) = -48
⇒ 27a + 9b + 3c = -48
⇒ 9a + 3b + c = -16
Now solve the system of 3 equations simultaneously to find the value of a, b and c. To do this, reduce this to 2 equations with 2 unknowns by eliminating one of the unknowns from two pairs of equations:
Eliminate c by subtracting equation 1) from equation 2) to create equation 4):
2) 4a + 2b + c = -13
1) a + b + c = -4
4) 3a + b = -9
Eliminate c by subtracting equation 2) from equation 3) to create equation 5):
3) 9a + 3b + c = -16
2) 4a + 2b + c = -13
5) 5a + b = -3
Now use equations 4) and 5) to find a and b, by subtracting equation 4) from equation 5) to find a:
5) 5a + b = -3
4) 3a + b = -9
6) 2a = 6
⇒ a = 6 ÷ 2 = 3
and substituting the found value of a into equation 4) or 5) to find b:
5) 5(3) + b = -3
15 + b = -3
⇒ b = -18
Now substitute the found values for a and b into one of the original 3 equations to find c:
1) a + b + c = -4
3 - 18 + c = -4
⇒ c = 11
Therefore, the function is y = 3x³ - 18x² + 11x
Can someone help me plsHere are 2 right triangles.
If y/z = 0.7, what is the measure of α to the nearest degree?
Answer:
α = 44°
Step-by-step explanation:
For angle α, y is the opposite leg.
z is the hypotenuse.
sin α = opp/hyp
sin α = y/z
sin α = 0.7
α = sin-1 0.7
α = 44°
Find the value of x. Round your answer to the nearest tenth.
Answer:
3.106
Step-by-step explanation: hope this helps
Answer:
Step-by-step explanation:
[tex]Sin \ 15 =\dfrac{opposite \ side}{hypotneuse}\\\\\\0.2588=\dfrac{x}{12}\\\\\\0.2588*12=x[/tex]
x = 3.1056
x = 3.1
help is needed!!! please
Answer:
5
Step-by-step explanation:
use formula a^2+b^2=c^2
so 4^2+3^2=25
then we square root 25 to get the length
square root of 25 equals 5
so the length is 5
hope this helps!
66
Find the area of the shape below.
16 cm
7 cm
7 cm
20 cm
anyone help please
Answer: 230cm²
Step-by-step explanation:
>We can do this by splitting the figure into 2 trapeziums.
>Additionally, you can see that both trapeziums bear the same lengths a and b. Hence, we can use this formula: [tex]\frac{1}{2} * (a+b) * (total height)[/tex].
>Thus,
Area = [tex]\frac{1}{2} *(7+16)*20=230[/tex]
Answer:
115 sq cm
Step-by-step explanation:
the shared side (16 cm) separates these two shapes into two trapezoids
the formula for the area of a trapezoid is:
A = 1/2h(sum of bases)
the bases for the left trapezoid are 7 and 16 because they are parallel
the bases for the right trapezoid are also 7 and 16 because they are parallel
the height for one could be 'x' and for the other could be '20-x-'
Area of 1st trapezoid:
A = 1/2x(23)
= 23x/2
Area of 2nd trapezoid:
A = 1/2(20-x)·(23)
= 10-x/2·(23)
= (230-23x)/2
If you add the areas together you get the following:
23x/2 + (230-23x)/2
= 230/2
= 115
Help please I don’t know how to do this
HELP ME WITH THIS PLEASEE AND THANKSS
Answer:
Step-by-step explanation:
The scale factor for each side is
12/7 = 1.714
What that means is that if you multiply the side length of the small square by the scale factor, you get the side length of the large square.
7 * 1.714 = 11.998 which is not exactly 12, but it is close enough.
I need help with solving isosceles and equilateral triangles
Answer:
60º
Step-by-step explanation:
The interior angles of a triangle equals 180º. And 60+60+60=180, that is your answer.
what’s the slope and y - intercept of this equation ?
Answer:
Slope = -[tex]\frac{7}{3}[/tex]
Y-intercept = 4
Step-by-step explanation:
-> See attached
-> This equation is in slope-intercept form.
[] When we use y = mx + b, the m is the slope and the b is our y-intercept.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
What is the equation of the line that passes through the point (7,-3) and has an undefined slope?
Answer:
x=7
Step-by-step explanation:
Answer:
x = 7
Step-by-step explanation:
A line with undefined slope is a vertical line. A vertical line has the equation
x = anumber
The point you were given has an x and a y...(x,y) The first number is the x.
x = 7
That's it, thats the equation of a line with undefined slope that goes through (7, -3).
<<<Fun fact: Lines with 0 slope are horizontal lines and have the equation
y = anumber >>>
If BC =26, find AC
Can someone please help me with this !!
A baker is making cupcakes. She starts with 60 eggs. She makes 12 cupcakes. She has 24 eggs left over. Which equation can be used to find the number of eggs, x, the baker uses for each cupcake?
Answer:
3 egg for each cupcake
Step-by-step explanation:
60-24=36
36/12=3
What is the value of the expression What is the value of the expression \frac{(44+9^2)}{5^{2}} 5 2(44+9 2 )
?
Answer:
expression no make sense'
Step-by-step explanation:
If 5 + 2T - 3 = 6 then what is the value of T?
Answer:
T = 2
Step-by-step explanation:
5 + 2T - 3 = 6
2 + 2T = 6
2T = 4
T = 2
Answer:
T=2
Step-by-step explanation:
first you're going to subtract the numbers 5-3=2
then you're going to move the constant to the right and change its sign(-2 now)
then you're going to do 6-2=4
divide both sides of the equation by 2
T=2
3. Prove that the missing side, w, is 2+√3
Answer:
Because the side w is [tex]\frac{1}{2}[/tex] the side opposite the right angle (the hypotenuse) + [tex]\sqrt{3\\}\\[/tex] (because of the 30-60-90 triangle), we just need to divide by the hypotenuse by 2 and then add three. Knowing this, our answer will come out to be 2 + [tex]\sqrt{3\\}\\[/tex] .
Step-by-step explanation:
