first you combine like terms
25m + 43,200 = 45,675 - 200m
then you add 200m to both sides
225m + 43,200 = 45,675
then you subtract 43,200 from both sides
225m = 2,475
then you divide both sides by 225
m = 11
Let f(x) = −2x 2 − 7 and g(x) = √x + 3. Find (f ∘ g)(25)
Answer:
(f О g)(25) is -135
Step-by-step explanation:
The composite function (f О g)(x) means substitute x in f by g
∵ f(x) = -2x² - 7
∵ g(x) = √3 + 3
→ To find (f О g)(25), find g(25) first, then substitute x in f by the value of g(25)
∵ x = 25
∴ g(25) = √25 + 3
∵ √25 = 5
∴ g(25) = 5 + 3
∴ g(25) = 8
→ Now substitute x in f by 8
∵ x = 8
∴ f(8) = -2(8)² - 7
∴ f(8) = -2(64) - 7
∴ f(8) = -128 - 7
∴ f(8) = -135
∴ (f О g)(25) = -135
SGA is doing a fundraiser to sell candles for project graduation. Small candles cost $4.00 and large candles cost $6.00. They have at most 50 candles, and want to make at least $100. Which system of linear inequalities represents the situation? x: The number of small candles y: The number of large candles
Given:
Cost of small candles = $4.00
Cost of large candles = $6.00
They have at most 50 candles, and want to make at least $100.
To find:
The system of linear inequalities represents the situation.
Solution:
Let x be the number of small candles and y be the number of large candles.
At most 50 candles means total candles must be less than or equal to 50.
[tex]x+y\leq 50[/tex]
Want to make at least $100. It means, the total sales must be greater than or equal to $100.
[tex]4x+6y\geq 100[/tex]
Therefore, the inequalities in the system of linear inequalities are [tex]x+y\leq 50[/tex] and [tex]4x+6y\geq 100[/tex].
In the diagram below
Please help I’ll give brainliest
Answer:
m<GFA = 110
Step-by-step explanation:
1. ABCD - parallelogram Definition of a parallelogram
(AB ll CD) (AD ll BC)
2. m<B + m<C = 180 Consectuive angles in a
110 + m<C = 180 parallelogram are supplementary
m<C = 70
3. m<GCB = 1/2 m<C Definition of angles bisector
m<GCB = 70
4. m<B = m<D = 110 Opposite angles in a
parrallelogram are congruent
5. m<CDG = 1/2 m<D Defintion of an angle bisector
m<CDG = 55
6. m<GCB+m<CDG+m<CGD=180 Sum of anlges in a triangle (ΔCDG)
70 + 55 + m<CGD = 180
125 + m<CGD = 180
m<CGD = 55
7. m<CGD + m<DGF = 180 Linear pair, supplmentary angles
55 + m<DGF = 180
m<DGF = 125
8. m<C = m<A = 70 Opposite angles in a paralellogram
are congruent
9. m<ADG = 1/2m<D Definiton of an angle bisector
m<ADG = 55
10.m<ADG+m<DFG+m<GFA+m<A=360 Sum of angles in quadrilateral
55 + 125 + m<GFA + 70 = 360 DGFA
m<GFA + 250 = 360
m<GFA = 110
What is the equation of the following line written in slope-intercept form?
y = 5x
y = -5x
y =
Answer:
_+5 is the best way to get the best way answer
Solve these two by using factor the polynomial by grouping
Answer:
15. (8x^3 + 27)(x + 1)
17. (x^2 + 3)(x + 2)
Step-by-step explanation:
8x^3(x + 1) + 27(x + 1)
x^2(x + 2) + 3(x + 2)
3×_5=16 and 3×=21
the first equation is a true statement for a certain value of x.
can you explain why the second equation must also be true for the same value of x?
Understanding:
First, let's try simplifying the first equation as much as we can. As you know, you can add, subtract, multiply, divide, etc on both sides of the equation and it will remain the same value. To simplify [tex]3x-5=16[/tex] we can simply add 5 to both sides to cancel the -5 on the left-hand side. That will give us [tex]3x-5 +5=16+5[/tex], notice we added the 5 to both sides. The +5 cancels -5 and 16+5 is 21, which evaluates to [tex]3x=21[/tex]. And this equation looks familiar, it's our second equation actually. That's why both equations are the same, and in that x value that makes the first equation true, it will also do the same for the second equation. If you want to actually find the value of x which makes the equation true, you can simply divide the 21 on the right-side by 3 to make x coefficient equal to 1, [tex]\frac{3x}{3} =\frac{21}{3}[/tex], and that gives us, [tex]x=7[/tex]. When x is 7 both equations are true.
Answer:
We conclude that the second equation must also be true for the same value of x because the value x = 7 satisfies the 2nd equation too.
Step-by-step explanation:
Given the first equation
[tex]3x-5=16[/tex]
Add 5 to both sides
[tex]3x-5+5=16+5[/tex]
simplify
[tex]3x=21[/tex]
Divide both sides by 3
[tex]\frac{3x}{3}=\frac{21}{3}[/tex]
simplify
[tex]x=7[/tex]
Thus, x = 7 is a value that satisfies the first equation.
Now, put x = 7 in the 2nd question to check whether x = 7 satisfies the equation or not.
3x = 21
3(7) = 21 ∵ x = 7
21 = 21
Thus, x = 7 also satisfies the 2nd equation.
Therefore, we conclude that the second equation must also be true for the same value of x because the value x = 7 satisfies the 2nd equation too.
Damien deposited $100 into his savings account. He then deposits $15 three times per month. Write an equation that shows the amount in Damien's savings account after t months
Answer: 100 + 45t
Step-by-step explanation:
From the question, we are informed that Damien deposited $100 into his savings account and that he then deposits $15 three times per month.
The equation that shows the amount in Damien's savings account after t months will then be:
= $100 + [($15 × 3) × t months]
= $100 + $45t
= 100 + 45t
This area model shows the quotient of 1/5÷4.
Answer: 4/5
Step-by-step explanation: 1/5 times 5/1=4/5
Kent has a $20 gift certificate for the
pet store. He chooses 2 angelfish
that each cost $3.45 and 3 clownfish
that each cost $4.82.
If he uses his gift certificate, how
much money will he need to pay?
Answer:
let a be the number of angles is using the ratio of clownfish we can write the proportion
Step-by-step explanation:
cross multiply Zane divide both sides by 5 so there are 48 Angle Fish
for the Goldfish cross multiply or divide both sides by 4 so there are 36 goldfish
helpppppppppppppppppp
Answer:
addition
Step-by-step explanation:
if you add the 4 to the -2 you will get x=2 therefore isolating the variable
Solve the system of equations x + y = 12 and x + 7y = -20 by combining the
equations.
Answer:
this will be 12
Step-by-step explanation:
since you said =12
plsss help no spam.
.....................
Answer:
Third one.
x=6 y=12
Ok!
Answer:
fourth option
Step-by-step explanation:
Given the 2 equations
y = 2x - 3 → (1)
x + y = 18 → (2)
Substitute y = 2x - 3 into (2)
x + 2x - 3 = 18
3x - 3 = 18 ( add 3 to both sides )
3x = 21 ( divide both sides by 3 )
x = 7
Substitute x = 7 into (1) for corresponding value of y
y = 2(7) - 3 = 14 - 3 = 11
Solution is x = 7, y = 11
Help!!!! I will give brainliest.
Answer:
Step-by-step explanation:
Well lets try to simplify this.
-3y= -4x +17
y=4/3 x - 17/3
Thus y-int is (0, -17/3)
To solve for x-int, y=0
y=4/3 x - 17/3
0=4/3 x - 17/3
4/3 x = 17/3
x=17/4
Thus x-int is (17/4, 0)
Need help!!!!!! ASAP
Answer:
og
Step-by-step explanation:
which calculation and answer show how to convert 9/16 to a decimal
Answer: 0.5625
Step-by-step explanation:
A is ur answer
h ope it helps!
If BC = 3x, CD = 7x, and BD = 10, what is BC?
Answer:
BC= 3
Step-by-step explanation:
Suppose a line BD is 10 and it has a point C somewhere on the line. It is given that BC is 3times and CD is 7 times or algebraically if we take x as a variable then according to the given information
BC+ CD= BD
3x+ 7x= 10
10x= 10
x= 10/10
x= 1
3x would give 3 (1)= 3
Hence the Line BC = 3
and the line CD= 7
WILL GIVE BRAINLIEST AND 100 POINTS FOR FIRST CORRECT ANSWER
MP _____ PK
Choose the relationship symbol to make a true statement.
Answer:
give the person above brainliest
Step-by-step explanation:
Construct an equilateral triangle of side 7cm and construct circumcircle.
Can anyone help me with this , I have to sumbit my PROJECT.
THanks
Answer:
To do this, all you need is to draw triangle with each side being 7 cm, and a circle that intersects all three of its corners.
Step-by-step explanation:
With a ruler and a pencil, draw a 7cm line.With a compass set to a radius of 7cm draw an arc centered around the right end of the line.With the same compass, still at 7cm, draw an arc centered around the left end of the line.These two arcs will intersect on either side of the line (you only need one side, so you only need a small arc in the right place, roughly where you think the third point if the triangle is.Where those arcs intersect is the third point on your triangle. Mark that, and then trace two lines from that point to either end of the line segment you started with.You now have an equilateral triangle with 7cm sides. Next you need to draw the circle
Measure the halfway point on two of your three lines.Draw a line from that each of those halfway points to the opposite corner. The new lines you're drawing will be perpendicular to the edge your measuring against.You have now drawn two line segments, and they intersect in the center of the circle. Now take your compass and set its radius to the distance from that center point to one of the three corner points.Centered on that middle point, trace a circle with the selected radius.And you're done!
can someone please help me
Answer:
x=1
Step-by-step explanation:
Determine the solution of the equation 4y - 5= 7.
A) 4
B) 3
C)
Answer:
B) 3
Step-by-step explanation:
add 5 to both sides, 4x=12
divide both sides by 4, x=3
Answer:
The answer is B) 3
Step-by-step explanation:
You add 5 to 7 to move it from one side to the other
You should then have 4y=12
Then to solve for why you divide 12 by 4
You will get y=3
So your answer is 3
A number y minus 12 is no more than −32.
The inequality is
Answer:
y-12<-32
Step-by-step explanation:
just remember to underline the less than sign
y= 2x +3
y= 4x-3
Is(3,9) a solution of the system?
Choose 1 answer:
A: yes
B: no
Answer:
A: yes :)
Step-by-step explanation:
PLS someone help me im trying to get a 80% so i can finish this!
You roll a 6-sided die. What is P(less than 3)? Write your answer as a fraction or whole number.
Answer:
any number less than 3
Step-by-step explanation:
PLSSSS HELP ASAP!! GIVING BRAINLIEST!! Pls Explain :)
At the store, meat was $73.70 for 5 pounds. If you bought 15 pounds, how much would it cost?
Answer: 221.10
Step-by-step explanation:
Plzz help meeee quickkk!!!
Answer:
[tex]D.x=35[/tex]
Step-by-step explanation:
[tex]As\ we\ observe\ that,\ all\ sides\ of\ the\ triangle\ are\ marked\ equal,\ the\ triangle\\ provided\ is\ equilateral.\\This\ implies\ that\ all\ the\ angles\ of\ an\ equilateral\ triangle\ are\ equal\ and\\ measure\ 60\ degree.[Through\ Angle\ Sum\ Property]\\Hence,\\(2x-10)=60\\2x-10+10=60+10[Adding\ 10\ to\ both\ the\ sides]\\2x=70[Simplifying]\\x=\frac{70}{2}[Dividing]\\x=35[Finding\ the\ value\ of\ x]\\[/tex]
Plz, Help me with this question.
Answer:
first option
Step-by-step explanation:
Given
area = 15x - 9 ← factor out 3 from each term
= 3(5x - 3)
Thus the dimensions are 3 by (5x - 3)
What would be the equivalent discount for this item be?
Answer:
it's almost $100 and there's $17 off. so 99.99-17 would make the exact cost 82.99
82.99/99.99= 0.8299 so you payed 83% and that would make it so you got a 17% discount.
but if you didn't want to do all the math, you could've just rounded the 99.99 up to 100, and $17 would make it a 17% discount.
6) Jesse is buying a home for $450,000 at 7.8% interest and Jesse is putting 30% down? He wishes to buy 3 points what is the cost of the points?
Answer:
$9450
Step-by-step explanation:
Given that:
The price of the home = $450000
The interest = 7.8%
Down payment = 30% of price of the home
i.e 0.3 × 450000 = 135000
The principal outstanding balance = 450000 - 135000
= 315000
Finally, the cost of 3 points will be;
[tex]= 315000 \times \dfrac{3}{100}[/tex]
= $9450
Damian's teacher told him that the standardized score (z-score) for his science exam, as compared to the exam scores of other students in the course, is 1.50. Which of the following is the best interpretation of this standardized score?
Damian's test score is 150.
Damian's test score is 1.50 standard deviations above the average test score of students in the course.
Damian's test score is 1.50 above the average test score of students in the course.
Damian's test score is 1.50 times the average test score of students in the course.
None of the above gives the correct interpretation.
Answer:
Damian's test score is 1.50 standard deviations above the average test score of students in the course.
Step-by-step explanation:
Took the test
I need help with this proof!
Answer:
∠B ≅ ∠F ⇒ proved down
Step-by-step explanation:
In the two right triangles, if the hypotenuse and leg of the 1st right Δ ≅ the hypotenuse and leg of the 2nd right Δ, then the two triangles are congruent
Let us use this fact to solve the question
→ In Δs BCD and FED
∵ ∠C and ∠E are right angles
∴ Δs BCD and FED are right triangles ⇒ (1)
∵ D is the mid-point of CE
→ That means point D divides CE into 2 equal parts CD and ED
∴ CD = ED ⇒ (2) legs
∵ BD and DF are the opposite sides to the right angles
∴ BD and DF are the hypotenuses of the triangles
∵ BD ≅ FD ⇒ (3) hypotenuses
→ From (1), (2), (3), and the fact above
∴ Δ BCD ≅ ΔFED ⇒ by HL postulate of congruency
→ As a result of congruency
∴ BC ≅ FE
∴ ∠BDC ≅ ∠FDE
∴ ∠B ≅ ∠F ⇒ proved