Given:
The inequality is:
[tex]-3x-4<2[/tex]
To find:
The values that are solutions to the given inequality.
Solution:
We have,
[tex]-3x-4<2[/tex]
Adding 4 on both sides, we get
[tex]-3x-4+4<2+4[/tex]
[tex]-3x<6[/tex]
Divide both sides by -3 and change the inequality sign because -3 is a negative value.
[tex]\dfrac{-3x}{-3}>\dfrac{6}{-3}[/tex]
[tex]x>-2[/tex]
Therefore, all the real values greater than -2 are the solutions to the given inequality.
Help me with these 3 and explain too thank you :))
Answer:
1) 25
2) 2
3) f(g(1)) = 42
Step-by-step explanation:
1) Given that f(x) = 4x^2 + 9
If x = -2
f(-2) = 4(-2)^2 + 9
f(-2) = 4(4) + 9
f(-2) = 16 + 9
f(-2) = 25
2) Given that f(x) = 4x - 6
y = 4x - 6
Replace y with x
x = 4y - 6
MAke y the subject of the forfmula
4y = x+ 6
y = (x+6)/4
SInce x = 2
f^(-1)(2) = (2+6)/4
f^(-1)(2) = 8/4 = 2
3) If f(x) = 6x and g(x) = x+6
f(g(x)) = f(x+6)
f(x+6) = 6(x+6)
Since x = 1
f(g(1)) = 6(1+6)
f(g(1)) = 6(7)
f(g(1)) = 42
What
Is the volume of this object
Answer:
100
Step-by-step explanation:
5x4=20
20x5=100
help! A new law has support from some Democrats and some Republicans. This two-way frequency table shows the proportion from each political party that does or does not support the new law.
Which conclusions can be made from this table?
Select each correct answer.
For both parties, more members do not support the law than support the law.
Compared to the Republicans, the Democrats have a larger percentage of members who support the law.
More Republicans support than the law than do not support the law.
Among Democrats, a larger percentage do not support the law than support the law.
Support Do not support
Democrat 0.32 0.68
Republican 0.44 0.56
What i can see:
It seems this law isn't particularly majorly favored in either party. In a lot of cases one party will have the majority support and one will have minority support. Although it seems to be more favored amongst democrats.
Like "insert law here" may be more favored by republicans or align more to their usual values.
Another thing is that it seems that it is controversial and a large portion either supports or doesnt support this law in both parties.
Im no master politician ofc but i am interested in politics so, yeah :)
Answer:
Among Democrats, a larger percentage do not support the law than support the law.
For both parties, more members do not support the law than support the law.
Step-by-step explanation:
just finish the test
Instructions: Problem 2 ! Find the missing angle in the image below. Do not include spaces in your answers !! PLEASE HELP ME
Answer:
Below.
Step-by-step explanation:
Ok so since 71 +25 = 96. A line segment is 180 so 180-96= 84. Hope this is right little hard to see.
Find the value of x and the value of y. 60 30 6
Answer:
The longest side, which is the opposite side of a right angle is the hypotenuse ( h ).The opposite is the side opposite the angle involved and it is called the Perpendicular ( p ) .The adjacent is the side next to the angle involved ( but not the hypotenuse ) and it is called the base ( b )[tex] \large{ \tt{❃ \: TAKING \: \angle \: \: A \: AS \: A \: ANGLE \: OF \: REFERENCE : }}[/tex]
Here , Perpendicular ( p ) = 6 , hypotenuse = y and now we're going to find the value of y first : We know :[tex] \large{ \tt{❁ \: sin \: 60 \degree = \frac{perpendicular}{hypotenuse} }}[/tex]
[tex] \large{ \tt{➝ \: \frac{ \sqrt{3} }{2} = \frac{6}{y} }}[/tex]
[tex] \large{ \tt{➝ \sqrt{3}y = 6 \times 2 }}[/tex]
[tex] \large{ \tt{➝ \: \sqrt{3} \: y = 12 }}[/tex]
[tex] \large{ \tt{➝ \: y= \frac{12}{ \sqrt{ 3} } }}[/tex]
[tex] \boxed{ \large{ \tt{➝ y = \: 4 \sqrt{3} }}}[/tex]
[tex] \large{ \tt{❇ \: TAKING \: \angle \: B \: AS \: THE \: ANGLE \: OF \: REFERENCE}} : [/tex]
Here - Perpendicular ( p ) = x , hypotenuse = y = 4 √ 3 and Now , we're gonna find the value of x :[tex] \large{ \tt{❊ \: sin \: 30 \degree = \frac{perpendicular}{hypotenuse} }}[/tex]
[tex] \large{ \tt{⟶ \: \frac{1}{2} = \frac{x}{4 \sqrt{3} } }}[/tex]
[tex] \large{ \tt{⟶ \: 2x = 4 \sqrt{3} }}[/tex]
[tex] \large{ \tt{⟶ \: x = \frac{4 \sqrt{3} }{2} }}[/tex]
[tex] \boxed{\large{ \tt{⟶ \: x = 2 \sqrt{3} }}}[/tex]
[tex] \boxed{ \large{ \tt{❈ \: OUR \: FINAL \: ANSWER : \boxed{ \tt \: x = 2 \sqrt{3} \: \: y = 4 \sqrt{3} }✓}}}[/tex]
And we're done! Hope I helped! Let me know if you have any questions regarding my answer and also notify me , if you need any other help ! :)▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Solve for x. Round to the nearest tenth of a degree, if necessary
Answer:
29.4 is the correct answer, it's rounded up so that you don't have to accidentally get it wrong like I did, lol
Step-by-step explanation:
Simplity the expression.
3(2y - 8) - 2y(5 - y)
Answer:
2y² - 4y - 24
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
3(2y - 8) - 2y(5 - y)
Step 2: Simplify
[Distributive Property] Distribute 3 and -2y: 6y - 24 - 10y + 2y²Combine like terms: 2y² - 4y - 24أريد أن أجد طريقة لإيجاد ارتفاع المخروط عن طريق معرفة قطره ومساحته . بليز أرجو الرد .
Answer:
سأعطي فقط مثالاً مقدمًا أدناه آمل أن يساعد
Step-by-step explanation:
الارتفاع = 24 سم
نصف القطر = 14 ÷ 2 = 7 سم
ارتفاع مائل = L =؟
L2 = R2 + H2
م 2 = 72 +242
م 2 = 49 + 576
م 2 = 625
L = 25
الحجم = 1 ÷ 3 × 22 ÷ 7 × 7 × 24
الحجم = 1232 سم
مساحة السطح المنحني = 22 × 7 × 7 × 25
مساحة السطح المنحني = 550
إجمالي مساحة السطح = 22 × 7 × 7 × 25 + 7
مساحة السطح الكلية = 704 سم
يرجى وضع علامة لي على أنه أذكى
Using the formula for the area of a triangle, , write an expression for the area of ΔABC. Base your answer on the work you did in parts G through I. Show your work.
Answer:
[tex]Area = \frac{1}{2} * AC * D[/tex]
Step-by-step explanation:
From the complete question, we have:
Length D to be perpendicular to side AC
So, the area of the triangle is:
[tex]Area = \frac{1}{2} * Base * Height[/tex]
Since:
Length D is perpendicular to side AC
Then:
[tex]Base = AC[/tex]
[tex]Heigjt =D[/tex]
So:
[tex]Area = \frac{1}{2} * AC * D[/tex]
Add (1.3t3 + 0.4t2 – 24t) + (8 – 18t + 0.6t2) For each term in the second polynomial, enter the letter showing where that term should be placed to add the polynomials vertically.
Answer:
[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2) = 1.3t^3 + t^2 -42t + 8[/tex]
Step-by-step explanation:
Given
[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2)[/tex]
Required
Solve
We have:
[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2)[/tex]
Collect like terms
[tex]1.3t^3 + 0.6t^2 + 0.4t^2 - 24t- 18t + 8[/tex]
[tex]1.3t^3 + t^2 -42t + 8[/tex]
So:
[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2) = 1.3t^3 + t^2 -42t + 8[/tex]
Answer:
look at pic
Step-by-step explanation:
What is the slope and y-intercept of the following equation:
= 13 − 4 (show your work pls)
Answer:
Slope is 1/3
Y intercept is -4
Daisy is trying to find the equation
of a linear function. Based on the
graph, she can tell the line goes
through (2, 20) and (3, 28). What is
the y-intercept?
Answer:
Your answer is (0,4)
Step-by-step explanation:
(100 points)
1.One of the addends of 17,300 is 11,210. What is the other addend?
a. What are they asking for? __________________
b. identify all the necessary numbers. __________________
c. write the equation or problem in numeric form. ______________
d. solve the math. ______________________________
e.write the answer. ________________________________
2. If one of the factors of 954 is 318 , what is the other factor?
a. What are they asking for? __________________
b. identify all the necessary numbers. __________________
c. write the equation or problem in numeric form. ______________
d. solve the math. ______________________________
e.write the answer. ________________________________
3. HEector bought seven bokes of fruit. Each boc contained 24 fruit. How much fruit did Hector buy?
a. What are they asking for? __________________
b. identify all the necessary numbers. __________________
c. write the equation or problem in numeric form. ______________
d. solve the math. ______________________________
e.write the answer. ________________________________
Answer:
1a. The other addend of 17,300
1b. 17,300 and 11,210
1c. 17,300-11,210
1d. 17,300-11,210= 6090
1e. 6090
2a. The other factor of 954
2b. 954 and 318
2c. 954-318
2d. 954-318= 636
2e. 636
3a. The total amount of fruit Hector bought.
3b. 7 and 24
3c. 7 x 24
3d. 7 x 24 = 168
3e. 168 fruits
[tex]solve : - \\ \\ ( \sqrt{100 - 64)} [/tex]
Answer:
[tex] \sqrt{100 - 64} \\ = 36 \\ = {6}^{2} [/tex]
Deepak wrote out the steps to his solution of the equation StartFraction 5 Over 2 minus 3 x minus 5 plus 4 x equals negative StartFraction 7 Over 4 EndFraction – 3x – 5 + 4x = –. Which step has an incorrect instruction? Step 1 Step 2 Step 3 Step 4
Answer:
Step 1 is incorrect.
Step-by-step explanation:
The given expression is :
[tex]\dfrac{5}{2}-3x-5+4x=\dfrac{-7}{4}[/tex]
In step 1, Deepak rearranged the terms in order to simplify like terms together that is followed in step 2.
o, rearranging of the terms of an expression is commutative property and not distributive property. The distributive property is generally applicable to multiplication and is given as:
[tex]x(y+z)=xy+yz[/tex]
The commutative property is given as:
x+y = y +a
Therefore, adding terms by changing their order is commutative property of addition and not distributive property. Step 1 instruction is wrong.
Answer:
step1
Step-by-step explanation: yes sirr
The Fun Committee is hosting the Annual City Festival. Jennifer is in charge of the committee and is planning a race to raise money for the Festival. The runners will earn money from donors for the number of miles they run. If the runners start at the park, run to City hall, and then run back to the park, how many total miles will each runner run? Show your work and leave your answer in simplest radical form if necessary.
Answer: [tex]6\sqrt{5}[/tex] miles
This is the same as writing 6*sqrt(5) miles
==========================================================
Work Shown:
P = park
C = city hall
Point P is at the location (10,11)
Point C is at the location (7,5)
Apply the distance formula to find the length of segment PC
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(10-7)^2 + (11-5)^2}\\\\d = \sqrt{(3)^2 + (6)^2}\\\\d = \sqrt{9 + 36}\\\\d = \sqrt{45}\\\\d = \sqrt{9*5}\\\\d = \sqrt{9}*\sqrt{5}\\\\d = 3\sqrt{5}\\\\d \approx 6.7082039\\\\[/tex]
The exact distance between the park (P) and city hall (C) is [tex]3\sqrt{5}[/tex] miles.
This doubles to [tex]2*3\sqrt{5} = 6\sqrt{5}[/tex] miles because the runners go from P to C, then back to P again. In other words, they run along segment PC twice. This is assuming there is a straight line road connecting the two locations.
Extra info:
[tex]6\sqrt{5} \approx 13.41641[/tex] so the runner travels a total distance of roughly 13.4 miles.
Find the value of x. PLEASE HELP ASAPPPPPP
Answer:
5
Step-by-step explanation:
(38 + 6x - 6) ÷ 2 = 7x -4
multiply both sides by 2
(38 + 6x - 6 = 2( 7x - 4)
38 + 6x - 6 = 14x - 8
32 + 6x = 14x - 8
40 = 8x
x = 5
Midsegments are the average of both bases.
Can someone help me with this math homework please!
Answer:
12
Step-by-step explanation:
Given
[tex]\frac{1}{2}[/tex] x - [tex]\frac{5}{4}[/tex] + 2x = [tex]\frac{5}{6}[/tex] + x
Multiply through by 12 ( the LCM of 2, 4, 6 ) to clear the fractions
6x - 15 + 24x = 10 + 12x
Answer:
12
Step-by-step explanation:
[tex]12( \frac{1}{2}x - \frac{5}{4} +2x= \frac{5}{6} + x)[/tex]
6x-15+24x=10+12x
What kind of statement does the shorthand below represent?
Answer:
it's a transitive statement.
Similar to "If a is equal to b and b is equal to c, then a is equal to c."
a = b and b = c, then a = c
Step-by-step explanation:
# If two vectors whose direction ratios are 1,2,3 and -k,2,1 are perpendicular to each other then, a) k=7 b) k=4 c) k=3 O d) k=6 me especially since we had be 1 poir 82) I don't know why he turned friends for so long.
Answer:
(a)k=7
Step-by-step explanation:
We are given that
Two vectors whose direction ratios are 1,2,3 and -k,2,1.
Let
[tex]a_1=1,b_1=2,c_1=3[/tex]
[tex]a_2=-k,b_2=2,c_2=1[/tex]
We have to find the value of k.
We are given that two vectors are perpendicular to each other.
We know that two vectors are perpendicular to each other then
[tex]a_1a_2+b_1b_2+c_1c_2=0[/tex]
Substitute the values
[tex]1(-k)+2(2)+3(1)=0[/tex]
[tex]-k+4+3=0[/tex]
[tex]-k+7=0[/tex]
[tex]\implies k=7[/tex]
Hence, option a is correct.
What is the equation of the line that has a slope of 3 and passes through the point (1, -2)
Answer:
y= 3x -5
Step-by-step explanation:
The equation of a line can be written in the slope- intercept form, y= mx +c (where m is the slope and c is the y- intercept).
Given that the slope is 3, m= 3. Substitute m= 3 into the equation.
y= 3x +c
To find the value of c, substitute a pair of coordinates into the equation.
When x= 1, y= -2,
-2= 3(1) +c
-2= 3 +c
c= -2 -3
c= -5
Thus the equation if the line is y= 3x -5.
Which of the following is the graph of the quadratic function y= x2 - 4x + 4
A. Graph D
B. Graph B
C. Graph A
D. Graphic
SUBMIT
Answer:
graph c
Step-by-step explanation:
it is the longest one
Robert took 8 minutes to complete his 12 worksheets. What is his unit rate of completing worksheets
Answer: 40 seconds per worksheet
Step-by-step explanation:
From the information given in the question, we are informed that Robert took 8 minutes to complete his 12 worksheets.
Based on this, his unit rate of completing worksheets will be given as:
= 8 minutes / 12
= 480 seconds / 12
= 40 seconds per worksheet
Note 1 minute = 60 seconds
8 minutes = 8 × 60 = 480 seconds
at pretend highschool there are 325 boys and 275 girls.
express the ratio of boys and girls
reduce to simplest form
Answer:
13:11
Step-by-step explanation:
325:275
If divided by 5 all through, you get 65:55, then by 5 again you get 13:11
Answer:
13/11 = 1.1818
Step-by-step explanation:
Boys/girls = 325/275 = 13/11 = 1 2/11 = 1.1818
I don't know what simplest form means.
Please answer the question on the screenshot.
Answer:
less than, less than, greater than (from top to bottom)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Determine the area of the triangle.
223.6 square units
248.7 square units
447.1 square units
458.4 square units
Answer:
223.6 square units. or 223.569 square units
Answer:A
Step-by-step explanation:I took the test
Solve the inequality
x^2+7x+10< 0
Answer: -5 < x < -2 or (-5, -2)
Step-by-step explanation:
Graph- (-5, -2)
Inequality- -5 < x < -2
Surface Area of Prisms
Can someone show me how to solve and also what the formula is. Please!
Answer:
400 in.²
Step-by-step explanation:
Surface area of the triangular prism = bh + L(s1 + s2 + s3)
Where,
b = 8 in.
h = 15 in.
s1 = 17 in.
s2 = 15 in.
s3 = 8 in.
L = 7 in.
Plug in the values
S.A = 8*15 + 7(17 + 15 + 8)
S.A = 120 + 7(40)
S.A = 120 + 280
S.A = 400 in.²
What is the phase shift of F(x) = 3 sin(2x - 4)?
Answer:
2
Step-by-step explanation:
Use the form asin(bx−c)+d
a=3
b=2
c=4
d=0
Phase Shift: c/b
Phase Shift: 4/2 = 2
Four friends all give each other presents
The total costs of presents is £80.52
Work out the mean cost of presents in pounds
