Answer:
g(1) = -3
Step-by-step explanation:
g(x) = 4x-7
Let x=1
g(1) = 4*1 -7
= 4 -7
= -3
Answer:
-3
Step-by-step explanation:
''The world shall know pain'' Me: Pain or Pain???????????????
Answer:
PAIN
Step-by-step explanation:
3х – 5y= 27
х +4y = -8
Solve the system of equations.
Help I’m very confused and was wondering if anyone is willing to help.
Answer:
57°
Step-by-step explanation:
LHS angle=RHS angle=57° (vert. opp angles)
Please help asap needed for an overdue homework
For each question, solve for the length of the unknown side, as
denoted by the variable. You may round your answers to the nearest
tenth, if necessary. Make sure you show all steps needed to solve the
problem.
Answer:
[tex]a=9[/tex]
Step-by-step explanation:
In this problem, you can use the Pythagorean Theorem ([tex]a^{2} +b^{2} =c^{2}[/tex]) to find what a is. The steps are shown below:
Steps (variables a, b, and c are in italics):
-You can rearrange the formula from the Pythagorean Theorem, which is[tex]a^{2} +b^{2} =c^{2}[/tex] to only get a because we want to know what a is.
Rearranged: [tex]a=\sqrt{c^{2}-b^{2} }[/tex] or [tex]a=-\sqrt{c^{2}-b^{2} }[/tex] It has to ways/options for a because when finding the square root of a number, it can be either positive or negative. But in this problem, it’s going to be positive because we’re finding the length of something.
-Since we know what c and b are, you can plug them into the new formula:
[tex]a=\sqrt{15^{2}-12^{2} }[/tex]
-Simplify it:
[tex]a=\sqrt{225-144}[/tex]
-Subtract inside the radical:
[tex]a=\sqrt{81}[/tex] Then simplify it to get [tex]a=9[/tex].
You can check your answer by putting a back into the original Pythagorean Theorem formula ([tex]a^{2} +b^{2} =c^{2}[/tex]):
Steps
-Plug a, b, and c into the formula [tex]a^{2} +b^{2} =c^{2}[/tex]:
[tex](9)^{2} +(12)^{2} =(15)^{2}[/tex]
-Simplify to get:
[tex]81+144=225[/tex]
-Add:
[tex]225=225[/tex] This is very true. So our answer is correct.
ANSWER: [tex]a=9[/tex]
Sorry for the long explanation, but I hope you understand and that this helps with your question! :)
Answer:
a = 9Step-by-step explanation:
lets make is short and simple
Pythagorean theorem: a² + b² = c²
a² + 12² = 15²
a² = 15² - 12²
a = √81
a = 9
GAIQNFKDKER HELP PLZ
Answer:
it's the first answer
Step-by-step explanation:
literally every other answer is ruled out because D is the greatest variable and can't be smaller than anything else
Select true statements
Answer:
the first one and last one are true
Step-by-step explanation:
To join a gym, there is a monthly fee of $12 and a $5 fee per workout class you take. Which of the following functions would show the cost, in dollars, for a month that she takes w workout classes?
C(w) = 12w
C(w) = 5w + 12
C(w) = 12 + 5w
C(w)= 17w
Answer:
[tex]C(w) = 5w + 12[/tex]
[tex]C(w) = 12+5w[/tex]
Step-by-step explanation:
Given information:
- Monthly fee of $12
- $5 fee per workout class
- [tex]w[/tex] represents the workout classes taken for a month
- - - -
With the given information, we can conclude that [tex]C(w)=[/tex] workout fee + monthly fee.
Workout fee = [tex]$5w[/tex]
Monthly fee = [tex]$12[/tex]
∴ [tex]C(w) = 5w + 12[/tex] or [tex]C(w) = 12+5w[/tex] (they are the same)
Hope this helps :)
solving a compound inequality. check all that apply.
Answer:
The solutions are:
-28.25, -14.5, -2.25
Step-by-step explanation:
Given compound inequality is:
[tex]-17.5\leq \frac{2x+4}{3} <17.5[/tex]
The compound inequalities are broken down into two inequalities to find the solution
The two inequalities will be:
[tex]\frac{2x+4}{3} \geq -17.5[/tex] AND [tex]\frac{2x+4}{3}<{17.5}[/tex]
Solving both inequalities one by one
[tex]\frac{2x+4}{3} \geq -17.5\\2x+4 \geq -52.5\\2x \geq -52.5-4\\2x \geq -56.5\\\frac{2x}{2} \geq \frac{-56.5}{2}\\x \geq -28.25\\\frac{2x+4}{3} < 17.5\\2x+4 < 52.5\\2x < 52.5-4\\2x \geq 48.5\\\frac{2x}{2} \geq \frac{48.5}{2}\\x < 24.25[/tex]
The solution is:
-28.25 ≤ x < 24.25
We have to see which options lie in the solution range.
The solutions are:
-28.25, -14.5, -2.25
Suppose a ice cream cone cost lies and $.80 each how many ice cream cone put the couch buy with $42?
So you want to go to your calculator type 42 divided by zero, and you should get a 52.5.
4/ √ 2 + √ -4
pls help and show work too
Answer:
2.82842712 + 2 i
Step-by-step explanation:
Which equation represents the axis of symmetry
for the function y =-4(X+6)* +4?
A X=6
B X=4
C X=-6
X=-4
Find the lengths of all 3 sides of each triangle.
Answer:
GH=45
HJ=81.6
GJ=53.4
Step-by-step explanation:
hope i helped <3
Judy is baking 5 cheesecakes. A recipe for one of the cheesecakes requires 1 1 2teaspoons of vanilla. Judy's bottle of vanilla contains 12 teaspoons of vanilla. After Judy bakes the 5 cheesecakes, how many teaspoons of vanilla will be left in the bottle?
Answer:4 1/2 Teaspoons of vanilla will be left in the bottle
Step-by-step explanation:
Step 1
Recipe for 1 cheesecake = 1 1/2 teaspoons of vanilla
Since she s making 5 cheesecakes, she will requite = 5 x 1 1/2 teaspoons
= 5 x 3/2= 15/2 = 7 1/2 teaspoons of vanilla.
Step 2
If a bottle of vanilla contains = 12 teaspoons of vanilla
After baking 5 cheesecakes which consumed = 7 1/2 teaspoons of vanilla
Teaspoons left of vanilla = Total teaspoons of vanilla-teaspoons of vanilla used for 5 cheesecakes= 12 - 7 1/2 =4 1/2
Therefore 4 1/2 Teaspoons of vanilla will be left in the bottle
Evaluate 3.6x + 4.5y when x=3 and y=7
Answer:
42.3
Step-by-step explanation:
3.6(3)+4.5(7)
10.8+31.5
42.3
Please solve and explain, thank you!
9514 1404 393
Answer:
44 inches
Step-by-step explanation:
The sides of a rhombus are all the same length, so we have ...
AB = BC
3x -4 = 2x +1
x = 5 . . . . . . . . . add 4-2x
Then the side lengths are ...
3x -4 = 3·5 -4 = 11
Four of them total 4·11 = 44 inches.
Eloise bought 3 boxes of crackers to share with her friends over the weekend. They ate 1/2 box of crackers on Saturday and 2/3 box of crackers on Sunday.
How many boxes of crackers were left over?
1 3/5 boxes
1 5/6 boxes
2 3/5 boxes
2 5/6 boxes
Answer:
C.) 1 5/b boxes
Number of boxes left over
= 3 - 1/2 - 2/3
Convert each fraction to one in terms of the LCM:
= 18/6 - 3/6 - 4/6
= 11/6
= 1 5/6 boxes.
The solution is Option B.
The number of boxes of crackers left with Eloise is 1 5/6 boxes of crackers
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of boxes of crackers left with Eloise be = A
Now , the total number of boxes of crackers be = 3 boxes
The number of boxes of crackers ate on Saturday = 1/2
The number of boxes of crackers ate on Sunday = 2/3
So , the equation will be
Number of boxes of crackers left with Eloise A = total number of boxes of crackers - number of boxes of crackers ate on Saturday - number of boxes of crackers ate on Sunday
Substituting the values in the equation , we get
Number of boxes of crackers left with Eloise A = 3 - 1/2 - 1/3
On simplifying the equation , we get
Number of boxes of crackers left with Eloise A = 5/2 - 2/3
Number of boxes of crackers left with Eloise A = ( 15 - 4 ) / 6
Number of boxes of crackers left with Eloise A = 11/6
Number of boxes of crackers left with Eloise A = 1 5/6 boxes
Therefore , the value of A is 1 5/6 boxes
Hence , the number of boxes left is 1 5/6 boxes of crackers
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Olivia picked 482 apples from the orchard’s largest apple tree. She divided the apples evenly into 4 baskets. How many apples are in each basket? How many are left over?
Answer:
there are 120 apples in each basket and 5 are left over
Step-by-step explanation:
137 students went on a field trip. five buses were filled and 7 students traveled in cars.
How many students were in each bus?
Answer:
Step-by-step explanation:
if we have 137 students, and out of this number 7 were in cars
137-7=130 students in buses
there are 5 buses
130/5=26
26 students in each bus
Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
-3/4m-1/2=2+1/4m
Answer: 4
Step-by-step explanation: 4 was the biggest denominator in that equation. so if we multiply by 4 on all the terms, all the denominators will go away. we will not have any more fractions!
Question: Find the missing side.
Answer:
17
Step-by-step explanation:
Use the Pythagorean Theorem, [tex]a^{2} +b^{2} =c^{2}[/tex]
In this situation, you would use the equation as [tex]8^{2} +15^{2} =x^{2}[/tex]
pls answer will mark brainliest
Answer:
40 square cm
Step-by-step explanation:
Answer:40 square cm
Step-by-step explanation:
Rendering math...While solving an equation, Wayra made some mistakes. Her solution is given below. Please help her to identify the step in which there is a mistake and also the right solution. Step 1: 13(z+6) = 4(z-3)-5z Step 2: 13z+19 = 4z-12-5z Step 3: 13z+19 = z-12 Step 4: 13z+z = -19-12 Step 5: 14z =-31 Step 6: z =-3114 Wayra has made a mistake at?
Answer:
According to the calculation, Wayra mage a mistahe in step 2 where she added 13 and 6 together instead of multiplying to get 78.
She also make a mistake in step 2 where he subtracted 5z from 4z to get z instead of -z
Step-by-step explanation:
Given the equation solved by Wayra expressed as;
Step 1: 13(z+6) = 4(z-3)-5z
She is find the value of z from the equation;
Step 2: Open the parenthesis using the distributive property;
13(z+6) = 4(z-3)-5z
13z + 13(6) = 4z - 4(3) - 5z
13z + 78 = 4z - 12 - 5z
Step 3: Simplify
13z + 78 = 4z - 5z - 12
13z + 78 = -z -12
Step 4: Collect the like terms;
13z + z = -12 - 78
Step 5: Simplify the result
14z = -90
Step 6: Divide both sides by 14
14z/14 = -90/14
z = 6.428
According to the calculation, Wayra mage a mistahe in step 2 where she added 13 and 6 together instead of multiplying to get 78.
She also make a mistake in step 2 where he subtracted 5z from 4z to get z instead of -z
Please help me out!
Answer:
c
Step-by-step explanation:
20 POINTS IF YOU ANSWER! NEED HELP ASAP
The two kids next to your locker are arguing over who got the better deal on the new cell phone plan billy pay $30 for his new phone and only pays $12.50 each month with free texting Annie got her new phone for free in only pays $20 a month how many months will both billy Annie have paid the same amount for the new cell phone plans you must write and solve an equation
Answer:
They will both have paid the same amount after 4 months
Step-by-step explanation:
Assume that they will pay the same amount after x months
∵ Billy pays $30 for his new phone
∵ He only pays $12.50 each month
→ Find how much he will pay in x month
∴ He will pay → 30 + 12.50x
∵ Annie got her new phone for free
∵ She only pays $20 a month
→ Find how much she will pay in x month
∴ She will pay → 20x
∵ They will pay the same amount
→ Equate their expressions above
∴ 20x = 30 + 12.50x
→ Subtract 12.50x from both sides
∵ 20x - 12.50x = 30 + 12.50x - 12.50x
∴ 7.50x = 30
→ Divide both sides by 7.50
∴ x = 4
∴ They will both have paid the same amount after 4 months
WILL GIVE BRAINLIEST
Write an equation in slope-intercept form with the given slope and y-intercept
IMAGE BELOW
Answer: slope: 1/4
y-intercept: 0,3
Step-by-step explanation:
Need answers
Chapter 3 geometry test on big ideas math
Answer/Step-by-step explanation:
WX: 4.47
[tex]4^{2} + 2^{2} = 20\\\sqrt{20} = 4.47[/tex]
XY: 3.61
[tex]3^{2} + 2^{2} = 13\\\sqrt{13} = 3.61[/tex]
YZ: 4.12
[tex]1^{2} + 4^{2} = 17\\\sqrt{17} =4.12[/tex]
WZ: 4.24
[tex]3^{2} + 3^{2} = 18 \\\sqrt{18} = 4.24[/tex]
The slopes of the lines are:
WX = 2
XY = -1.5
YZ = 4
WZ = -1
Given is a polygon on a coordinate plane with vertices =
W = (-5, 1)
X = (-3, 5)
Y = (-1, 2)
Z = (-2, -2)
We need to find the slopes of line =
WX, XY, YZ and WZ
To find the slopes of the lines connecting the vertices of the polygon, we can use the formula for the slope between two points (x₁, y₁) and (x₂, y₂):
slope = (y₂ - y₁) / (x₂ - x₁)
Let's calculate the slopes for each line:
1) Slope of line WX:
W = (-5, 1)
X = (-3, 5)
slope(WX) = (5 - 1) / (-3 - (-5))
= 4 / 2
= 2
So, the slope of line WX is 2.
2) Slope of line XY:
X = (-3, 5)
Y = (-1, 2)
slope(XY) = (2 - 5) / (-1 - (-3))
= -3 / 2
= -1.5
So, the slope of line XY is -1.5.
3) Slope of line YZ:
Y = (-1, 2)
Z = (-2, -2)
slope(YZ) = (-2 - 2) / (-2 - (-1))
= -4 / (-1)
= 4
So, the slope of line YZ is 4.
4) Slope of line WZ:
W = (-5, 1)
Z = (-2, -2)
slope(WZ) = (-2 - 1) / (-2 - (-5))
= -3 / 3
= -1
So, the slope of line WZ is -1.
Therefore, the slopes of the lines are:
WX = 2
XY = -1.5
YZ = 4
WZ = -1
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You deposit $500 in an account that earns 4% simple annual interest entrance and each year is added to the principal to create a new principal find the total amount in your account after each year for three years
Answer:
first year $20 second year $20.80 Third year $21.63
Step-by-step explanation: This is for an extra money per year so after the first year that is how much extra money he gets every year.
Solve the following equation below.
Answer:
x=3 C
Step-by-step explanation:
5x-13=-3x+11
8x-13=11
8x=24
x=3
Answer:
the answer is x=3
Step-by-step explanation:
i hope this help you
Evaluate expression using the order of operations. 17 − 5 ⋅ 4 ÷ 2
Answer:
7
Step-by-step explanation:
5x4=20
20/2=10
17-10=7
Answer:
your answer is 7
Step-by-step explanation:
17-5×4÷2
P- parenthesis
E- Exponents
M- Multiplication
D- Divide
A- Add
S- Subtract