Answer:
y = (x+2)²-2
Step-by-step explanation:
Use the vertex form y = a(x-h)²+k. Plug in the vertex for h and k. Solve for a and you will get 1 for that value. You can check your answers by plugging in both of those points to make sure.
Select the three models that represent 45%.
Answer:
All but the one on the bottom left
Answer:
Step-by-step explanation:
Write the expression. Then, check all that apply.
Four times a number increased by seven
A 2-column table with 5 rows. Column 1 is labeled Key words with entries four, times, a number, increased by, seven. Column 2 is labeled Replace with entries 4, x, n, + , 7.
Replace “a number” with the variable, n.
The two operations are multiplication and addition.
The two operations are multiplication and subtraction.
The expression is written as 4n + 7.
The expression is written as 4n – 7.
Answer:
Step-by-step explanation:
The answer is 1 2 and 4
The correct options are 1 and 3.
The expression can be written as 4n + 7, involving multiplication and addition.
Given is a verbal expression "Four times a number increased by seven"
We need to convert it into algebraic expression.
So,
Replace "a number" with the variable, n.
This means we replace the phrase "a number" in the expression with the variable "n".
So, the expression becomes "Four times n increased by seven," which can be written as "4n + 7."
The two operations are multiplication and addition.
This option is correct.
The expression involves two operations: multiplication and addition.
We have "Four times a number" which means we multiply the number by 4, and then "increased by seven" means we add 7 to the result.
So, the expression can be written as 4n + 7, where 4n represents the multiplication and +7 represents the addition.
The expression is written as 4n + 7.
This option is correct. The given expression "Four times a number increased by seven" can be written as 4n + 7, where 4n represents the multiplication of the number by 4 and +7 represents the addition of 7 to the result.
So, the correct options are 1 and 3.
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The sail on the sailboat shown below forms a right
triangle whose hypotenuse has length 13 feet and
whose vertical side has length 12 feet. If cloth for the sail costs $10 per square foot, what is the cost of the
sail?
Answer:
5
Step-by-step explanation:
a cookie recipe at a bakery uses three cups of peanut butter chips for every two cups of chocolate chips that it uses. given the variables below which equation correctly relates the amount of chocolate and peanut butter chips needed to make a batch of cookies?
x: cups of chocolate chips needed for one batch
y: cups of peanut butter chips needed for one batch
A. y=1.5x
B. x= 5y
C. x=1.5y
D. y=5x
C. x = 1.5y
This is the answer
As, 3y/2x = 1.5y/x
So, by this ratio we get,
x = 1.5y
\dfrac32=5d-\dfrac12
2
3
=5d−
2
1
Which of these expressions correctly represents the phrase “17 less than three times a number”?
Answer:
3n - 17
Step-by-step explanation:
This phrase includes subtraction (“less than”) and multiplication (“times”). We are multiplying a number (3) by the variable to create the term 3n. Subtraction is not commutative, so order does matter. 17 less than 3n means we have 3n and take 17 away: 3n - 17.
What is the area of the trapezoid shown below?
Answer:
A. 78 Sq units
Step-by-step explanation:
Area of the trapezoid
[tex] = \frac{1}{ \cancel2} (19 + 7) \times \cancel6 \\ \\ = 26 \times 3 \\ \\ = 78 \: sq \: units[/tex]
Solve the simultaneous equations
2x + 4y = 1
3x - 5y = 7
y=1.5 x=
What does x equal
Answer:
The solution to the system of equations be:
x = 0.5, y = -0.5
Step-by-step explanation:
Given the system of equations
[tex]\begin{bmatrix}2x+4y=1\\ 3x-5y=7\end{bmatrix}[/tex]
Multiply 2x+4y=1 by 3: 6x+12y=3
Multiply 3x-5y=7 by 2: 6x-10y=14
[tex]\begin{bmatrix}6x+12y=3\\ 6x-10y=14\end{bmatrix}[/tex]
subtracting the equations
[tex]6x-10y=14[/tex]
[tex]-[/tex]
[tex]\underline{6x+12y=3}[/tex]
[tex]-22y=11[/tex]
solve -22y for y
[tex]-22y=11[/tex]
Divide both sides by -22
[tex]\frac{-22y}{-22}=\frac{11}{-22}[/tex]
Simplify
[tex]y=-\frac{1}{2}[/tex]
[tex]y = -0.5[/tex]
For 6x+12y=3 plug in y = -1/2
[tex]6x+12\left(-\frac{1}{2}\right)=3[/tex]
[tex]6x-12\cdot \frac{1}{2}=3[/tex]
[tex]6x-6=3[/tex]
Add 6 to both sides
[tex]6x-6+6=3+6[/tex]
[tex]\frac{6x}{6}=\frac{9}{6}[/tex]
Simplification
[tex]x=\frac{3}{2}[/tex]
[tex]x = 1.5[/tex]
Therefore, the solution to the system of equations be:
x = 0.5, y = -0.5
Can someone help me please
Answer:
corvette corvette.
Step-by-step explanation:
Categorize the graph as linear increasing, linear decreasing, exponential
growth, or exponential decay.
A.Exponential decay
B. Linear decreasing
C. Linear increasing
D. Exponential growth
Answer:
B
Step-by-step explanation:
Since the graph shows a straight line and not a curved graph, this is a linear equation.
And since the line is sloping downwards, it is decreasing.
Our final answer is linear decreasing.
The category of the function of the graph in the figure is a (b) Linear decreasing graph
How to determine the graph category?Any graph that is represented by a straight line is a linear graph
The above statement means that the graph is a linear graph because it is represented by a straight line.
The orientation of the line also means that:
As x increases, the value of y decreases
Hence, the category of the graph is a (b) Linear decreasing graph
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Given the equation find the slope. Write it as a fraction.
y=-4x+3
Answer:
it should be -4/1
Step-by-step explanation:
x= slope
4 is a whole number add a 1 and it becomes a fraction
Paul and Quinn share some money in a ratio 3:2, Paul gets 60 more than Quinn, how much does Quinn get
Answer: 120
Step-by-step explanation:
3+2=5
Let x be the amount of money to be shared
Paul’s share which is (3/5)x is 60+ Quinn’s share which is (2/5)x
Therefore
(3/5)x= (2/5)x + 60
(3/5)x - (2/5)x= 60
(x/5)=60
Cross multiply
x= 60*5=300
It means that Quinn’s share is (2/5)(300)= 120
The amount of money that Paul and Quinn have will be $180 and $120, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Paul and Quinn share some cash in a proportion of 3:2, Paul gets 60 a larger number than Quinn.
Let 'x' be the share of Paul and 'y' be the share of Quinn. Then the equation is given as,
x: y = 3: 2 ...1
x = y + 60 ...2
From equations 1 and 2, then we have
(y + 60) / y = 3/2
2y + 120 = 3y
y = 120
Then the value of the variable 'x' is given as,
x = 120 + 60
x = 180
The amount of money that Paul and Quinn have will be $180 and $120, respectively.
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Find the values of x and y
Answer:
x = 2
y = 12
Step-by-step explanation:
In triangle ABD, CE is the mid segment.
Therefore, by mid segment theorem:
2(5x - 3) = x + 12
10x - 6 = x + 12
10x - x = 12 + 6
9x = 18
x = 18/9
x = 2
Since, DE = EA
2y - 4 = y + 8
2y - y = 8 + 4
y = 12
The ratio of girls to boys in Liza’s classroom is 5 to 4.
How many girls are in her classroom if there is a total of 27 students?
12
9
54
15
Answer:
15
Step-by-step explanation:
5+4=9
27÷9=3
girl's ratio is 5 so
5×3=15
answer is 15
The last time it placed an order for ingredients, Sweet Treats Bakery ordered 820 kilograms of sugar. This time, the bakery is ordering 779 kilograms. What is the percent of decrease in the size of the sugar order?
Answer:
5%
Step-by-step explanation:
820 - 779 = 41. 41/820 = 0.05. 0.05 = 5%
If f(x) =
(3+2)
what is a + 2)?
(x-3)
O A.
(5+a)
(a -1)
O B.
3+ f(a +2)
(a)-1
O c.
(3+a)
+2
(a-3)
Answer:
5 + a
A: ---------
a - 1
Step-by-step explanation:
3+x 3 + a + 2
f(x) = ---------- becomes f(a + 2) = ------------------
x-3 a + 2 - 3
5 + a
when a + 2 is substituted for x. This last result simplifies to ------------
a - 1
which matches Answer A.
pls help will mark brainliest if right !
Answer:
some
some
some
some
no
Step-by-step explanation:
Answer:
1) no triangles
2)some triangles
3)no triangles
4)no triangles
5)all triangles
Step-by-step explanation:
i think that is right not sure tho
adam is rewriting the expression
Answer:
Adam is typing...
Step-by-step explanation:
There were 450 people at a play. The admission price was $2 for adults and $1 for children. The admission receipts were $680. How many adults in how many children attended
Answer:
Adults= 110
Children= 340
Step-by-step explanation:
Given data
let adults be x
and children be y
x+y= 450----------1
2x+y=680---------2
from 1
x= 450-y
put this in 2
2(450-y)=680
900-2y=680
900-680=2y
220=2y
y= 220/2
y= 110
x+110= 450
x= 450-110
x=340
A circle has a radius of 8 cm. A good estimate for the circumference of the circle is 24 cm.
True
False
Answer:
false
Step-by-step explanation:
answers is 50.27
Rory scored more than 12 points in his basketball game last night.
Select the inequality and number line that represent the number of points, p, Rory scored.
p > 12
p < 12
p = 12
Answer:
p > 12, p = 12
Step-by-step explanation:
She said she scored more than 12. It could be equal too.
Answer:
I am late on this but it could help some other people!
Step-by-step explanation:
Option A because it shows that the value of his score is greater than 12.
of the space in Jamie's drawer is taken up by animal figures, and is taken up by action figures. He wants to store his basketball card collection in the drawer, too. How much room do the figures take up? Will he have any room left for the cards?
Answer:
74
Step-by-step explanation:
Which rate is equivalent to the unit rate of 13 miles per gallon?
.Options.
A: 26 miles/2 gallons
B: 2 gallons/ 26 miles
C: 39 miles/ 4 gallons
D: 4 gallons/ 39 miles
(Answer quick please I need this fast)
Answer:
a
Step-by-step explanation:
26 divided by 2 is 13
There are some Chicken and rabbits in a cage. There are 20 heads and 62 feet in total, the question is: how many chicken and rabbits in the cage?
Answer:There are 72 heads (chicken and rabbit) and 200 legs. How many chickens and rabbits are present totally?
Step-by-step explanation
There are 72 heads (chicken and rabbit) and 200 legs. How many chickens and rabbits are present totally?
Legs of a chicken = 2
Legs of a rabbit = 4
Total heads = 72
Total legs= 200
Let's assume that each of them has minimum 2 legs.
So 72*2 = 144 legs
Remaining legs: 200-144= 56
These remaining legs belong to rabbit because rabbit has 4 legs each.
2*Rabbits= 56
Rabbits= 56/2 = 28
Out of 72, 28 are rabbits. So there are 72-28= 44 chicken.
What is the circumference of this circle, in centimeters? (Fake question)
Answer:
3,o217383737283636666666666678899
Answer:
5
Step-by-step explanation:
is logical .... ...........
A right triangle is displayed.
36 in
60 in
The area of the right triangle is
Answer:
864 in²
Step-by-step explanation:
Use the pythagorean theorem to find the missing side.
36²+x²=60² (x is the missing length of the side)
1296 + x² = 3600
x² = 2304
x = 48
Then use the area of a triangle formula: base·height/2
Substituting 36 for the height and 48 for the base, we get:
48·36/2, which is 864.
If cot(theta)=1.5 and theta is in quadrant 3, what is the value of sin theta
[tex]ans = \boxed{ 0.6}[/tex]
[tex]since \: cot( \theta)= \frac{1}{ \tan( \theta) } \\ \frac{1}{ \tan( \theta) } = 1.5 \\ (1.5)\tan( \theta) = 1 \\ \tan( \theta) = \frac{1}{1.5} = 0.6666666667 \\ \theta = { \tan}^{ - 1} (0.6666666667) \\ \theta = 33.69 \\ hence: \sin( \theta) = \sin(33.69) = 0.5546992156[/tex]
Tim has 5 apples and 3 bags with 8 apples in each bag. How many apples does Tim have in all?
Ok so before you even tell me the answer please tell me like in numbers like how do I show my work
Answer:
Step-by-step explanation:
The ratio of men to women working for a company is 7 to 5. If there are 312 employees total, how many women work for the company
Find QR.
Q
6
560
R
S
Write your answer as an integer or as a decimal rounded to the nearest tenth.
QR =
Answer:
QR ≈ 5.0
Step-by-step explanation:
Using the sine ratio in the right triangle
sin56° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{QR}{QS}[/tex] = [tex]\frac{QR}{6}[/tex] ( multiply both sides by 6 )
6 × sin56° = QR , then
QR ≈ 5.0 ( to the nearest tenth )