Answer:
f(- 2) = 21
Step-by-step explanation:
To evaluate f(- 2) substitute x = - 2 into f(x)
f(- 2) = - 5(2(- 2) + 1) + 6 = - 5(- 4 + 1) + 6 = - 5(- 3) + 6 = 15 + 6 = 21
The length of a rectangle is 4 cm longer than its width. If the perimeter of the rectangle is 44 cm, find its area.
is y=x-2 a positive, negative or zero slope?
Answer:
negative
Step-by-step explanation:
Answer:
Positive 1
Step-by-step explanation:
The point-slope formula is y=mx+b with m representing the slope. In this equation you don't see a m but that is because m=1 so it does not have to be written.
If f(x) = -2x2 - 3 and g(x) = 3x - 4, then f(g(2))= ? A) -37 B) -22 C) -19 D) -11
Answer:b
Step-by-step explanation:
1-69.
Lacey and Haley are rewriting expressions in an equivalent, simpler form.
Homework Help
a. Haley simplified 23 .z and got 25. Lacey simplified 23 +22 and got
the same result! However, their teacher told them that only one
simplification is correct. Who simplified correctly and how do you know?
b. Haley simplifies 35.45 and gets the result 1210, but Lacey is not sure. Is Haley
correct? Be sure to justify your answer.
The question above was not written properly
Complete Question
Lacey and Haley are rewriting expressions in an equivalent, simpler form.
a. Haley simplified x³⋅ x² and got
x⁵
Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?
b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.
Is Haley correct? Be sure to justify your answer.
Answer:
a) Haley is correct, Lacey simplified wrongly.
b) Haley is incorrect
Step-by-step explanation:
a. Haley simplified x³⋅ x² and got
x⁵
Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?
For Question a, when it comes to simplifying algebraic expression that has to do with powers, there are certain rules that should be followed.
For example
x^a × x^b = x^(a + b)
For Haley, she simplified x³⋅ x² and got
x⁵
She is correct because this follows the product rule of powers or exponents above
= x³⋅ x² = x³+² = x⁵
For Lacey she is wrong because:
x³ + x² ≠ x⁵
x³ + x² when simplified as quadratic equation = x²(x + 1)
b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.
Is Haley correct? Be sure to justify your answer.
For question b, when we have two distinct or different numbers with the same power(exponents) the rule states that:
x^a × y^a = (x × y)^a = (xy)^a
Haley is simplified wrongly. She did not apply the rule above
Haley simplified 3⁵⋅ 4⁵ = (3 × 4) ⁵+⁵
= 12^10, this is wrong.
The correct answer according to the rule =
3⁵⋅ 4⁵ = (3 × 4) ⁵ = 12⁵
Therefore,
3⁵⋅ 4⁵ ≠ 12^10
3⁵⋅ 4⁵ = 12⁵
Haley is wrong.
On Thursday, a website received x advertisement orders. On Friday, the website received 8 more advertisement orders than on Thursday. The expression 2x + 8 represents the total number of advertisement orders received over two days.
Answer: how many more advertisements were ordered on Friday than Thursday
Step-by-step explanation:
HELP PLS 20 PTS PLSSSSSSSSSSS
Answer:
(9,9)
Step-by-step explanation:
Solve for m:
8(m + 2) = 3(12 - 4m)
Answer:
m=1
Step-by-step explanation:
step 1: 8(m + 2) = 3(12 - 4m) remove the parentheses
step 2: 8 m + 2 = 3 12 - 4m move the terms
step 3: 8m+ 12m= 36 - 16 collect like terms and calulate
step 4: 20m=20 divide both sides
solution: m=1
Answer:
m = 1
Step-by-step explanation:
To solve for m, we will have to get m by itself on one side, with some value on the other side.
8(m + 2) = 3(12 - 4m)
Distribute the 8 on the left side and the 3 on the right side.
8m + 16 = 36 - 12m
Add 12m to both sides.
20m + 16 = 36
Subtract 16 from both sides.
20m = 20
Divide both sides by 20.
m = 1
So now we have the answer m = 1.
I hope you find my answer helpful.
What is the slope of a line perpendicular to the line whose equation is
2x + 2y = -8. Fully reduce your answer.
Answer: slope=-1, y-intercept=(0,-4)
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
first you have to find the slope of the original question
2x+2y=-8
2y= -8 -2x
y= -4-x
slope = -1
to find the perpendicular slope you flip it and multiply by -1
-1 -> -1 *-1 -> 1
Thomas is trying to find the unit price for a dozen cupcakes. The cupcakes are on sale for $27.00 per dozen. What is the unit price per cupcake?
Answer:
This is really simple, look:
Step-by-step explanation:
If you want to find the unit prize for a dozen cupcakes, and the dozen is 27.00 dollars, you only have to do this:
27 divided into 12
because the unit prize is just basically the price of 1 cupcake
the answer would be 2.25 each
What value of x makes the following equation true?
-5x/4=- 40
Answer:
32
Step-by-step explanation:
First, you have to multiply -40 by 4 which gives you -160. After that, divide -160 by -5 which equals positive 32
Jacob attempted the third problem above but when checking his work he realized he made a mistake. Identify what Jacob’s mistake was in your own words, and explain what Jacob would need to do differently to avoid making that mistake in the future:
5(x+2)-7=3x+5
5x+2-7=3x+5
5x-5=3x+5
5x-5+5=3x+5+5
5x=3x+10
5x-3x=3x-3x+10
2x=10
x=5 5[(5)+2]-7=3(5)+5
5(7)-7=3(5)+5
35-7=15+5
28=20
What happened?
Answer:
Jacob forgot to use the distributive property in the 1st step
Step-by-step explanation:
Jacob should've got 5x+10-7=3x+5 for the 2nd row.
Jacob should be more careful when distributing the numbers, and make sure to distribute into every term inside the parentheses.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given solution is
5(x+2)-7=3x+5
5x+2-7=3x+5
5x-5=3x+5
5x-5+5=3x+5+5
5x=3x+10
5x-3x=3x-3x+10
2x=10
x=5 5[(5)+2]-7=3(5)+5
5(7)-7=3(5)+5
35-7=15+5
28=20
Here we can see that the correct distribution of 5(x+2) would be 5x + 10.
Because Jacob distributed 5 into x correctly and got 5x, however he did not distribute the 5 into 2 properly. It should have been 10.
Jacob should be more careful when distributing the numbers, and make sure to distribute into every term inside the parentheses.
Learn more about equations here;
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Simplify.
6 | -5 | =
Answer:
30
Step-by-step explanation:
Now, if you are multiplying 6 times the absolute value of -5 you should get an answer of 30. Since the absolute value of -5 is 5.
Help please
Will give brainliest
Sean buys a packet of perfumed candles that contains 12 lavender, 8 vanilla, and 20 rose-perfumed candles. He randomly takes
out a candle from the packet, replaces it, and then randomly takes out another
What is the probability that he takes out a lavender
and a rose-perfumed candle
.05
.24
.3
.15
Answer:
05.
Step-by-step explanation:
trust me dude i just took this question :D
The probability of taking out lavender and a rose-perfumed candle with replacement is 0.15 so option (D) will be correct.
What is probability?Probability is also called the chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.
Do not take underestimate probability it has several uses in daily life whether forecasts or like that.
Total number of candles = 12 + 8 + 20 = 40
Probability = desire/total
So,
Probability of taking lavender first = number of lavender/total
⇒ 12/40 = 0.3
Now since we again put the lavender into the lot it means all things remain the same.
Probability of rose-perfumed second = number of rose-perfumed /total
⇒ 20/40 = 0.5
Now the probability of A and B is the multiplication of the probability of A and B individually.
So,
The probability of taking out lavender and a rose-perfumed candle
⇒ 03 × 0.5 = 0.15
Hence "The probability of taking out lavender and a rose-perfumed candle with replacement is 0.15".
For more information about the probability,
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Given f(x)=2x+1. Find. f(-3)
Answer:
f(-3)= 5
Step-by-step explanation:
f(x) = 2x+1 f(-3) -3 is the input.
= 2(-3)+1
= -6+1
f(-3) = -5
Hope this helps :)
Six times a number is equal to 16 more than 4 times the number. Find the number.
Answer:
8
Step-by-step explanation:
Let the number be n
6*n = 16 + 4*n
6n = 16 + 4n
6n - 4n = 16
2n = 16
2n/2 = 16/2
n = 8
On a test, George was asked to find the square root of 0.45.
Which of the following is closest to the square root of 0.45?
Answer:
The square route of 0.45 is 0.7.
Step-by-step explanation:
the option closest to the square root of 0.45 is option B. 0.55
What is the square rootTo find the square root of 0.45, we can use a calculator or estimate it using a method like the Newton-Raphson method.
Calculating the square roots of the answer choices:
A. √0.65 ≈ 0.806
B. √0.55 ≈ 0.742
C. √0.35 ≈ 0.592
D. √0.25 = 0.5
Comparing these values to the square root of 0.45, one can see that the closest approximation is: B. 0.55
Therefore, the option closest to the square root of 0.45 is option B, 0.55.
Read more about square root here:
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see options below
A. 0.65
B. 0.55
C. 0.35
D. 0.25
-60 = -15k
Solve the equation.
Answer:
k=4
Step-by-step explanation:
-60 = -15k
-60÷-15= -15k÷-15
-60÷-15=k
-60÷-15=4
k=4
-60=-15k
-60= -15(4)
Enter the measurement with the indicated number of significant digits.
858.6 m2 (3)
The answer is.
Im?
Can someone pls help me?
help me check my answer please, its due tmrw!
cd^2
c= 5 and d= 8
Answer:
1,600
Step-by-step explanation:
This is the answer because:
1) First, rewrite the expression with the given numbers
Equation: (5)(8)^2
2) Then, we do 5 times 8 which is 40
3) Finally, 40^2 equals to 1,600 because 40 times 40 is 1,600
Hope this helps!
find the value of x need help asap
Answer:
B
Step-by-step explanation:
In 45 45 90 triangles the ratio is a:a:a root 2 so the answer would be 3root 2/2 or c because when multiplied again by root 2 it will get you 3.
I don't get this can someone help me?
Answer:
n=5
x= 23
p= 4
Step-by-step explanation:
What this wants us to do is find the value of the variable first, then find the measurement of the degrees.
So, for the first equation we need to make an equation.
Since the angles are vertical angles, that means they equal each other.
The equation would be.. 8n=9n-5.
Step 1- Move variable to the left hand side and change its sign
8n-9n= -5
Step 2- Collect like terms
-n= -5
Step 3- Change signs on both sides of the equation
n=5
So, now that we know what the variable is, substitute it into the equations.
8(5)= 40 9(5)-5= 40
For the second equation, the angles equal 180 degrees.
So, that would give us the equation.. 6x+19+x= 180.
Step 1- Add the common variables
(6x+x)+19= 180
7x+19= 180
Step 2- Subtract 19 from both sides.
7x+19= 180
-19 -19
7x= 161
Step 3- Divide both sides by 7
7x= 161
7 7
x= 23
So, now that we know what the variable is, substitute it into the equations.
6(23)+19= 157
157+23= 180
Finally for the last equation, they are vertical angles, so they equal each other.
So, the equation would be 5p+28= 12p.
Step 1- Move the variable to on side.
5p+28= 12p
-5p -5p
28= 12-5p
Step 2- Subtract the variables
28= 7p
Step 3- Divide by 7 to both sides.
28= 7p
7 7
p= 4
So, now that we know what the variable is, substitute it into the equations.
5(4)+28= 48
12(4)= 48
Hope this helps!! :)
A plane traveled 1100 miles each way to Cairo and back. The trip was with the wind. It took 11 hours. The trip back was into the wind. The trip back took 22 hours. Find the speed of the plane in still air and the speed of the wind
Answer:
Hehe did did dodndosnsod fofmfomdixnsis
Step-by-step explanation:
Nsisndidndisnsidnsi293883 ownsie
Answer:
the speed of the wind is 11 and the speed of the plane at still air is 2
i think
Step-by-step explanation:
Rays that share a common endpoint but continues infinitely in opposite directions is called___________.
Answer:
Opposite raysStep-by-step explanation:
Rays that share a common endpoint but continues infinitely in opposite directions is called opposite rays
Opposite rays are two rays that both start from a common point and go off in exactly opposite directions.-5 + 1/2n = 11 can yall solve this rq im going things rn and i just want to get this over with at this point..
Answer:
n=32
Step-by-step explanation:
1/2n=11+5
1/2n= 16
n= 16*2
n=32
Answer:
[tex]n=32[/tex]
Step-by-step explanation:
[tex]-5+\frac{1}{2}n=11[/tex]
Add 5 to both sides:
[tex]-5+\frac{1}{2}n+5=11+5[/tex]
[tex]\frac{1}{2}n=16[/tex]
Multiply both sides by 2:
[tex]2\times\frac{1}{2}n=16\times2[/tex]
[tex]n=32[/tex]
(2x + 1)(x + 2)
Multiply the following polynomial
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2 {x}^{2} + 5x + 2}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{(2x + 1)(x + 2)}[/tex]
Use distributive property
[tex] \longrightarrow{ \sf{2x(x + 2) + 1(x + 2)}}[/tex]
[tex] \longrightarrow{ \sf{2 {x}^{2} + 4x + x + 2}}[/tex]
Collect like terms
[tex] \longrightarrow{ \sf{2 {x}^{2} + 5x + 2}}[/tex]
Hope I helped!
Best regards! :D
b) Find the volume of a rectangular prism with dimensions 12 cm by 4cm by 7
cm
HELP MEE!!!|||||||||Find the volume of a cylinder with a diameter of 6 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to
the nearest hundredth. (Hint: You may only enter numerals, decimal points, and negative signs in the answer blank) (4 points)
Answer: There are several information's of immense importance already given in the question. Let us write them down first.
Diameter of the cylinder = 6 inches
Then
Radius of the cylinder = 3 inches.
Height of the cylinder = 3 * radius
= 3 * 3
= 9 inches
Volume of the cylinder = (pi) * (Radius)^2 * Height
= 3.14 * (3)^2 * 9
= 3.14 * 9 * 9
= 254.34 cubic inches
Janet is building a rectangular pumpkin patch. The perimeter of the pumpkin patch is 100 meters. The width of the garden is 7 meters less than 2 times its length. Find the length and the width of the pumpkin patch.
WORTH 25 POINTS!!! EASY POINTS! Plot C(-4, -5) ,D(-4,3) ,E( -3,2), and F(-8,2) in a coordinate plane. Are CD and EF congruent?
Answer: not congruent
Step-by-step explanation:
To know if CD and EF are congruent, you need to use the distance formula to find CD and EF. If the distance is the same, then they are congruent.
Distance formula: [tex]d=\sqrt{(x_{2}-x_1)^2+(y_2-y_1)^2}[/tex]
CD
[tex]d=\sqrt{(-4-(-4))^2+(3-(-5))^2}[/tex] [parenthesis]
[tex]d=\sqrt{(0)^2+(8)^2}[/tex] [exponent]
[tex]d=\sqrt{0+64}[/tex] [add]
[tex]d=\sqrt{64}[/tex] [square root]
[tex]d=8[/tex]
------------------------------------------------------------------------------------------------------------
EF
[tex]d=\sqrt{(-8-(-3))^2+(2-2)^2}[/tex] [parenthesis]
[tex]d=\sqrt{(-5)^2+(0)^2}[/tex] [exponent]
[tex]d=\sqrt{25+0}[/tex] [add]
[tex]d=\sqrt{25}[/tex] [square root]
[tex]d=5[/tex]
------------------------------------------------------------------------------------------------------------
After finding the distance of CD and EF, we can say that they are not congruent. The line CD is 8 units long and line EF is 5 units long. Therefore, they are not congruent.