Answer:
x<4 and x>1
Step-by-step explanation:
1) 3x-4<8
Add 4 to both sides first to isolate x.
3x-4<8
+4 +4
3x<12
Divide both sides by 3.
3x<12
/3 /3
x<4
2) 2x+2>4
Subtract both sides by 2 to isolate x.
2x+2>4
-2 -2
2x>2
Divide both sides by 2.
2x>2
/2 /2
x>1
Hope this helped!! Have an amazing day :3
Solve problem:
8-6•4+10/2
Answer:
[tex]8 - 6 \times 4 + \frac{10}{2} \\ = 8 - 6 \times 4 + 5 \\ = 8 - 24 + 5 \\ = 8 + 5 - 24 \\ = 13 - 24 \\ = - 11[/tex]
it is 200% correct answer..
It helps you ☺️Thank you ☺️
consider this algebraic expression:
5 + 3x – 1 + 4x
Use the algebra tiles to collect like terms.
What is the simplified expression?
Answer:
7x+4
Step-by-step explanation:
mark me brainliest pls
find the values of the six trigonometric functions for angle theta in standard position if a point with the coordinates (1, -8) lies on its terminal side
Answer:
cosФ = [tex]\frac{1}{\sqrt{65}}[/tex] , sinФ = [tex]-\frac{8}{\sqrt{65}}[/tex] , tanФ = -8, secФ = [tex]\sqrt{65}[/tex] , cscФ = [tex]-\frac{\sqrt{65}}{8}[/tex] , cotФ = [tex]-\frac{1}{8}[/tex]
Step-by-step explanation:
If a point (x, y) lies on the terminal side of angle Ф in standard position, then the six trigonometry functions are:
cosФ = [tex]\frac{x}{r}[/tex]sinФ = [tex]\frac{y}{r}[/tex]tanФ = [tex]\frac{y}{x}[/tex]secФ = [tex]\frac{r}{x}[/tex]cscФ = [tex]\frac{r}{y}[/tex]cotФ = [tex]\frac{x}{y}[/tex]Where r = [tex]\sqrt{x^{2}+y^{2} }[/tex] (the length of the terminal side from the origin to point (x, y)You should find the quadrant of (x, y) to adjust the sign of each function∵ Point (1, -8) lies on the terminal side of angle Ф in standard position
∵ x is positive and y is negative
→ That means the point lies on the 4th quadrant
∴ Angle Ф is on the 4th quadrant
∵ In the 4th quadrant cosФ and secФ only have positive values
∴ sinФ, secФ, tanФ, and cotФ have negative values
→ let us find r
∵ r = [tex]\sqrt{x^{2}+y^{2} }[/tex]
∵ x = 1 and y = -8
∴ r = [tex]\sqrt{x} \sqrt{(1)^{2}+(-8)^{2}}=\sqrt{1+64}=\sqrt{65}[/tex]
→ Use the rules above to find the six trigonometric functions of Ф
∵ cosФ = [tex]\frac{x}{r}[/tex]
∴ cosФ = [tex]\frac{1}{\sqrt{65}}[/tex]
∵ sinФ = [tex]\frac{y}{r}[/tex]
∴ sinФ = [tex]-\frac{8}{\sqrt{65}}[/tex]
∵ tanФ = [tex]\frac{y}{x}[/tex]
∴ tanФ = [tex]-\frac{8}{1}[/tex] = -8
∵ secФ = [tex]\frac{r}{x}[/tex]
∴ secФ = [tex]\frac{\sqrt{65}}{1}[/tex] = [tex]\sqrt{65}[/tex]
∵ cscФ = [tex]\frac{r}{y}[/tex]
∴ cscФ = [tex]-\frac{\sqrt{65}}{8}[/tex]
∵ cotФ = [tex]\frac{x}{y}[/tex]
∴ cotФ = [tex]-\frac{1}{8}[/tex]
simplify 3 · 32 + 8 ÷ 2 − (4 + 3)
Answer:
= 93
Step-by-step explanation:
Calculate within parentheses:
(4+3)
= 7
Simplify:
= 3 * 32 + 8 ÷ 2 - 7
Multiply and divide (left to right):
= 96 + 8 ÷ 2 - 7
Multiply and divide (left to right):
= 96 + 4 - 7
Add and subtract (left to right):
= 93
2=10 3=18 4=28 6=54 then 8=?
Answer:
72
Step-by-step explanation:
2*5=10
3*6=18
6*8=54
8*9=72
Plz help me it’s geometry
Divide the number 484 into two parts in a ratio of 7 : 4. How much bigger is the first number than the second number?
Answer:
I don't known
Step-by-step explanation:
Answer:
132
Step-by-step explanation:
First, obtain the total of the ratio:
7+4 = 11
Then, make equations:
[tex]\frac{7}{11} =\frac{x}{484}[/tex] and [tex]\frac{4}{11} =\frac{x}{484}[/tex]
Next, solve:
11x = 7*484 → 11x = 3388 → x = 308
11x = 4*484 → 11x = 1936 → x = 176
Finally, find the difference:
308 - 176 = 132
(**If it is asking how many times bigger... 308/176 = 1.75 or [tex]\frac{7}{4}[/tex] )
Find the quotient:
_________________
x - 4 ) x^3 + 2x^2 – 16x - 32
Step-by-step explanation:
x-4)x³+2x²-16x-32(x²+6x+8
x³-4x²
- +
____________
6x²-16x-32
6x²-24x
- +
_________
8x-32
8x-32
- +
_____
X X
______
Hence,
The quotient is x²+6x+8.
How many solutions does the equation have?
3(d+11) = 6(d +33)
O 0
O 1
O infinitely many
9514 1404 393
Answer:
1 solution
Step-by-step explanation:
The coefficients of d are different on the two sides of the equation (3d vs 6d), so the equation has one solution.
__
Dividing by 3 gives ...
d +11 = 2(d +33)
d + 11 = 2d + 66
Adding -d-66 to both sides gives ...
-55 = d . . . . . . the one solution
Answer:
The answer is B
Step-by-step explanation:
i took the test and 1 was correct so.
Factorise fully
-x - 8
please do quick! will mark brainiest!
Answer:
-(x+8)
Step-by-step explanation:
-x - 8
-1 *x -1 * 8
Factor out a -1
-1(x+8)
-(x+8)
Answer:
-1(x+8)1(-x -8)Step-by-step explanation:
[tex] - x - 8[/tex]
Factor out common term : -1
[tex] - 1(x + 8)[/tex]
Suppose y = 2x – 2.5. Find x if y = 10.
pls help with number 7. and 8.
Answer:
One pair of gloves cost $5.89
Step-by-step explanation:
You just have to divide 29.45 by 5 and that gives you how much one pair of gloves cost
m. 2.7(2x + 3) –4.6 n. 2 3 (12 + 15z) – 4 1 2 z o. 9 10 + 1 4 ( 2 3 v+ 2 5 )–1
Answer:
go on
Step-by-step explanation:
math,way, ., com
This table gives a few (x, y) pairs of a line in the coordinate plane. What is the x-intercept of the line?
Answer:
(22,0)
Step-by-step explanation:
22 0
35 -15
48 -30
61 -45
74 -60
Eight rolls of paper towels cost $4.80. At the same unit rate, how much will six rolls of paper towels cost?
Answer:
10
Step-by-step explanation:
PLEASE HELP(I’ll mark your answer as the Brainiest! & 11points) can someone please do numbers 1-3 Find the angle measure. Tell which postulate or theorem you use, thank you in advance!❤️
Answer:
1. m<5 = 114
2. m<6 = 68
3. m<2 = 64
Step-by-step explanation:
Question 1:
<1 = <4 because of Vertical Angles Theorem
< 4 = <5 because of Alternate Interior Angles Theorem
Hence, <1 = <5
Since m<1 = 114: m<5 = 114.
Question 2:
<3 = <6 because of Alternate Interior Angles Theorem
Since m<3 = 68: m<6 = 68
Question 3:
<2 = <7 because of Alternate Exterior Angles Theorem
Since m<7 = 64: m <2 = 64
Hope this helped! If not, let me know! <3
Please answer this correctly without making mistakes
Answer: 96%
1 square represent 1%
Answer:
96 present
Step-by-step explanation:
How many solutions does this equation have
2x + 1 = 2x – 1
Find the distance between each pair of points in the coordinate plane.
(3,-2) and (2,-1)
Answer:
1.41
Step-by-step explanation:
Need help on these two questions ♡
Answer:
for question 5 it is the last option
for question 6 it is the 3rd option down
Step-by-step explanation:
A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than 19 centimeters. The factory believes that the length of the screws exceeds this value and measures the length of 65 screws. The sample mean screw length was 19.04 centimeters. The population standard deviation is known is known to be 0.19 centimeters. What is the null hypothesis and what is the alternative hypothesis?
Answer:
Step-by-step explanation:
Ok
Answer:
A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than 11 centimeters. The factory believes that the length of the bolts exceeds this value and measures the length of 76 bolts. The sample mean bolt length was 11.09 centimeters. The population standard deviation is known to be 0.29 centimeters.
What is the test statistic ?
What is the -value?
Does sufficient evidence exist that the length of bolts is actually greater than the mean value at a significance level of
I don't understand calculus at all bruh :/. I figured out some of this but I don't know if the answer is 0 or 2. Whoever figures this, out also please explain how you got it.
Name the slop and one point that is on the line represented by the equation: y + 3 = -1/2(x +7)
Answer:
The slope is -1/2 and a point on the line is ( -7,-3)
Step-by-step explanation:
y + 3 = -1/2(x +7)
This is in point slope form
y - y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line
y - -3 = -1/2(x - -7)
The slope is -1/2 and a point on the line is ( -7,-3)
what value is equivalent to 13 - 2(1 - 15) divided by 14
Answer:
15
Step-by-step explanation:
Following PEMDAS you would do the equation in the parentheses first.
1 - 15 = -14
13 - 2 ⋅ (-14) divided by 14
-2 ⋅ (-14) = 28
13 + 28 divided by 14
28 divided by 14 = 2
13 + 2 = 15
Your answer is 15
Hope I helped :)
Please consider Brainliest :)
Turn 2 1/8 into an improper fraction. Explain your steps
Answer:
17/8
Step-by-step explanation:
2 1/8 multiply 2 times 8 and 1 which equals to 17/8. The whole number times the denominator plus the numerator basically.
Answer:
17/8
Step-by-step explanation:
8 x 2 = 16
16 + 1 = 17
what is the best classification for angle 1 and angle 3?
Answer:
C not adjacent because adjacent angles are right next to each other. And <1 and <3 are not right next to each other.
Step-by-step explanation:
They are not vertical angles this is what vertical angles look like ><
They are not adjacent or a linear pair.
So it is C.
32 students play basketball and 25 Students play
volleyball . It is found that 13 students play both
games. Find the number of students playing at least
one game
dotos numbers Sets
n
و
Answer:
44 students
Step-by-step explanation:
Given parameters:
Number of students playing basketball = 32
Number of students playing volleyball = 25
Number of students playing both = 13
Unknown:
Number of students playing at least one game = ?
Solution:
Let us first find the number of students that play basketball only and volleyball only.
Number of students playing basketball only = 32 - 13 = 19
Number of students playing volleyball only = 25 - 13 = 12
So,
Least number of students that play at least one game = number of students that plays basketball only + number of students that plays volleyball only + number of students that plays both;
= 19 + 12 + 13
= 44 students
A manufacturer knows that their items have a lengths that are approximately normally distributed, with a mean of 9.8 inches, and standard deviation of 1.6 inches. If 48 items are chosen at random, what is the probability that their mean length is greater than 9.2 inches
Answer:
0.6462
Step-by-step explanation:
Given that
Mean (m) = 9.8
Standard deviation (s) = 1.6
Probability that mean length is greater than 9.2
Z = (x - m) / s
Z = (9.2 - 9.8) / 1.6
Z = - 0.6 / 1.6
Zscore = - 0.375 = - 0.375
P(Z >- 0.375) = 1 - P(Z < - 0.375) ;
P(Z < - 0.375) = 0.3538
1 - P(Z < - 0.38) = 1 - 0.3538 = 0.6462
* Pending
This map shows the organization that was
association of nearly 30 countrior
HELLLPP!!!! Jake's regular hourly wage is $14.15 after working 40 hours in a week he gets paid overtime which is a pay and a half if Jake worked for 58 hours what will his weekly gross income be