Answer:
The transformation will be 5
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
5x^2 + 55x + 140 ---> required
Coefficients a=5, b=55, c=140 yield
[tex]h=\frac{-h}{2*a} =\frac{-(55)}{2*5} =\frac{-55}{10} =-5.5[/tex]
Thus, the x-coordinate of the vertex is [tex]\boxed{h = -5.5 }[/tex]
Plugging x=-5.5 into the given equation yields:
[tex]k=5*(-5.5)^{2} +55*-5.5+140=-11.25[/tex]
Thus, the y-coordinate of the vertex is [tex]\boxed{k = -11.25 }[/tex]
Altogether, the vertex of the given parabola is
[tex]\boxed{ (h,k)=(-5.5,-11.25) }[/tex]
Plugging (h,k)=(−5.5,−11.25) into the vertex formula
[tex]\boxed{ y=(x-h)^2+k }[/tex]
yields the vertex form of the parabola
[tex]\boxed{ y=(x+5.5)^2-11.25 }[/tex]
To find the vertex of a parabola in standard form, first, convert it to the vertex form y=a(x−h)2+k y = a ( x − h ) 2 + k .Cora works as a plumber and earns $50 per house call, plus $18 for every hour of work. She billed a customer $104, but forgot how long she worked. To solve for the number of hours, she subtracted 50 from 104 and then divided by 18.
Answer:
Cora worked 3 hours
Step-by-step explanation:
104 = 18x + 50 ( x = # of hours worked)
54 = 18x ( subtracted 50 from both sides)
3 = x ( divided both sides by 18)
Oscar buys his lunch in the school cafeteria. The cost of 15 school lunches is $33.75.
Part 1: If you had to find a graph to represent this rate, would slope would you be looking for?
Part 2: Using the rate you determined, complete this ordered pair: (5, ________)
Answer:
Part 1: 2.25
Part 2: (5, 11.25)
Step-by-step explanation:
Part 1: 33.75/15= 2.25
Part 2: 5*2.25= 11.25
Algebra 1 (100 points) Look at screen shot
Answer:
Lin has provided the correct answer.Step-by-step explanation:
The equation has two roots as a quadratic equation.
Elena's solution ends up with loss of one of the roots when cancelling the variable.
Lin gets two roots, so she is correct.
Answer:
Lin gave Correct answer
Step-by-step explanation:
Let's solve by ourselves once
x²=7xx²-7x=0x(x-7)=0x=0,7[/tex]verified
Descriptive Measures Instructions: Use the following data set to find the sample statistics for the following data set. (Round answers to the nearest hundredth, if necessary.
{51,48,42,43,48,48,46,15,29,45,47,55,46,35,47,48,54,26,53,42}
Find n
Answer:
(1) N or n = 20
(2) = 43.4
(3) σ = 9.78 and s = 10.04.
Step-by-step explanation:
Factor 5x² + 8x – 4 using substitution.
Answer:
(
5
x
−
2
)
(
x
+
2
)
is the factorised form of the expression.
Explanation:
5
x
2
+
8
x
−
4
We can Split the Middle Term of this expression to factorise it.
In this technique, if we have to factorise an expression like
a
x
2
+
b
x
+
c
, we need to think of 2 numbers such that:
N
1
⋅
N
2
=
a
⋅
c
=
5
⋅
(
−
4
)
=
−
20
AND
N
1
+
N
2
=
b
=
8
After trying out a few numbers we get
N
1
=
10
and
N
2
=
−
2
10
⋅
(
−
2
)
=
−
20
, and
10
+
(
−
2
)
=
8
5
x
2
+
8
x
−
4
=
5
x
2
+
10
x
−
2
x
−
4
=
5
x
(
x
+
2
)
−
2
(
x
+
2
)
(
x
+
2
)
is a common factor to each of the terms
=
(
5
x
−
2
)
(
x
+
2
)
(
5
x
−
2
)
(
x
+
2
)
is the factorised form of the expression.
solve the following equation 6x+2+56=180
Answer:
20.3
Step-by-step explanation:
6x+2+56=180
-2 -56 -58
6x= 122
/6 /6
x=20.3
Marco picked 8 1/2
pounds of apples at an orchard last weekend. He used 1/2
of the apples to make a pie for a party. Then, he used 3 1/8
pounds of apples to make applesauce. How many pounds of apples does Marco have left?
Answer: 4 [tex]\frac{7}{8}[/tex] pounds of apples
Step-by-step explanation:
We will subtract the apples used from the original pounds of apples to solve this question. First, I will turn all units into eighths to subtract.
8 1/2 -> 8 4/8
1/2 -> 4/8
3 1/8 -> 3 1/8
Next, I will subtract and simplify as I go.
8 4/8 - 4/8 - 3 1/8
8 - 3 1/8
8 - 3 = 5, 5 - 1/8 = 4 7/8
Marco has 4 7/8 pounds of apples left.
i need help 9th grade math
Answer:
(f + g)(x) = x + 5
Explanation:
f(x) = 2x + 3
g(x) = 3x + 2
===========
(f + g)(x)f(x) + g(x)2x + 3 + 3x + 25x + 5Answer:
[tex](f+g)(x)=5x+5[/tex]
Step-by-step explanation:
Given:
[tex]f(x)=2x+3[/tex]
[tex]g(x)=3x+2[/tex]
[tex]\begin{aligned}(f+g)(x) & =f(x)+g(x)\\ & = (2x+3)+(3x+2)\\ & = 2x+3+3x+2\\ & =2x+3x+3+2\\ & = 5x + 5\end{aligned}[/tex]
Match the vocabulary word with the correct definition.
Answer:
A. Variable
B. Unit Rate
C. Inverse Operations
D.System of linear equations
There are 9 slips of paper in a hat, each with a number from 1 to 9. The numbers correspond to a group of students who must answer a question when the number of their group is drawn. Each time a number is drawn, the number is put back in the hat. What is the probability that the first five numbers drawn will be 1,2,3,4,5 in that order?
Answer:
Step-by-step explanation:
Remark
There is only 1 way that you can get 1 2 3 4 5 in that order.
There are many possibilities of drawing 5 numbers from a total of 9 possible ones.
Total number of drawing 5 numbers.
Total = 9 * 9 * 9 * 9 * 9
Total = 59049
So putting the two facts together you get
Chance of getting (1 2 3 4 5) = 1/59049
Answer: .000016935
Find the area of this shape
Answer:
216
Step-by-step explanation:
Split the image into geometric shapes, and then calculate the area of each shape, then add them all up to get your grand total of 216
Help me !! 10/7 x 9/8 7/9 x 8/10
Answer:
Step-by-step explanation:
10/7 x 9/8 = 90/56 = 45/28.
7/9 x 8/10 = 56/90 = 28/45
If you want to multiply these, the answer is (28*45) / 28/45) = 1.
Answer:
((((10 / 7) * 9) / 8 7/9) * 8) / 10 = 1.17179024
fraction: 7323689 / 6250000
decmal:1.17179024
Question 4
Which shows the solution set to the
inequality below?
2x + 35-5
Answer:x=-15
Step-by-step explanation:
2x+35-5=0
-35 +5. -35 +5
2x=-30
/2 /2
X=-15
Find the missing measurement using the given scale factor. B А scale factor from A to B = 1:7
Answer:
? = 49
Step-by-step explanation:
To solve this we just need to understand that when A=1, B=7. So when the side for a is 7 that is basically multiplying A by 7 so we have to do the same to the B side. So when the B side is multiplied by 7 it would be 7*7 =49 so the ? is equal to 49 when that similar side is equal to 7.
This is all based on the fact that the two triangles must be similar triangles.
Determine the value of the angle.
Angle FDE=
Answer:
angle fde = 37 degree
Step-by-step explanation:
we have,
angle bdc = angle fde
for angle bdc
adf = 90, adb = 53
let the value be x
=> 90+53+x = 180
=> 143+x = 180
=> x = 180 - 143
=> x = 37
bdc = 37
so, fde = 37
III
Finding a missing side length given two similar triangles
AABC and APQR are similar. Find the missing side length.
B
AA
30
48
5
8.
А
36
СР
?
R
Answer:
6
Step-by-step explanation:
These are similar triangles, which means the side lengths are proportional!
30:5=6, so there is a scale factor of six.
36/6 is six!
Answer:
PR = 6
Step-by-step explanation:
since the triangles are similar then the ratios of corresponding sides are in proportion , that is
[tex]\frac{AC}{PR}[/tex] = [tex]\frac{BC}{QR}[/tex] ( substitute values )
[tex]\frac{36}{PR}[/tex] = [tex]\frac{48}{8}[/tex] = 6 ( multiply both sides by PR )
6 PR = 36 ( divide both sides by 6 )
PR = 6
What are the domain, range, and asymptote of h(x) = (1.4)x + 5?
domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5
domain: {x | x > 5}; range: {y | y is a real number}; asymptote: y = 5
domain: {x | x > –5}; range: {y | y is a real number}; asymptote: y = –5
domain: {x | x is a real number}; range: {y | y > –5}; asymptote: y = –5
Answer:
The answer is
→ A.) Domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5
Step-by-step explanation:
For every real x, (1.4)x is always positive, therefore the range would be y > 0, but (1.4)x + 5 adds 5 to every integer in the original range. This suggests that the real range is y | y > 5, or all positive values bigger than 5.
This is the sole choice for the range that A has, therefore, it should. (The other two characteristics hold true, as can be any real integer and lim h(x) = 5 x, implying that y = 5 is a horizontal asymptote of h(x).)
Therefore, A.) Domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5 is your answer.
Hope this helped! :^)
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- ✨7272033Alt✨
Submitted on 4/20/2022 at 1:37 PM
(To avoid plagarism, by users whom decide to copy.)
Domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5. Option A is correct.
The given function is [tex]h(x)=1.4^x+5[/tex].
The domain of a function is the set of all valid inputs (x-values) for which the function is defined.
In this case, there are no restrictions on the base (1.4) raised to any real exponent, and thus, the domain includes all real numbers.
Therefore, Domain: {x | x is a real number}
The range of a function is the set of all possible output (y-values) that the function can produce.
In this case, the base (1.4) raised to any real exponent will always be positive, and when you add 5 to a positive number, you get values greater than 5.
Hence, the range consists of all real numbers greater than 5.
Therefore, Range: {y | y > 5}.
An asymptote is a line that a function approaches but never crosses.
For this exponential function, there are no vertical asymptotes since it is defined for all real numbers.
However, there is a horizontal asymptote. As the value of x approaches negative or positive infinity, the function h(x) will approach 5.
Therefore, Asymptote is y = 5.
Hence, option A is correct, domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5.
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Help on number 8 please!
Answer:
ab/3
Step-by-step explanation:
I don't really know how to explain.
Μα†hway
hope this helps!
what is the value of the expression below 2816 * 7
Answer:
2816 x 7 is 19712.
Step-by-step explanation:
I'm not going into detail, but simply, use a calculator
Answer:
the answer is 19,712
Step-by-step explanation:
ur welcome
What is 4 2/5 divided by 1 1/10
Answer:
✓ 4 2/5 divided by 1 1/10= 4
Step-by-step explanation:
✓ Factor the numerator and denominator and cancel the common factors.
✓ Hopefully this helps you!
-Keira
When [tex]4\frac{2}{5}[/tex] is divided by [tex]1 \frac{1}{10}[/tex] we get the value 4.
Convert mixed numbers to improper fractions:
[tex]4\frac{2}{5}[/tex] = (4 × 5 + 2) / 5 = 22/5
[tex]1 \frac{1}{10}[/tex] = (1 × 10 + 1) / 10 = 11/10
Divide the two fractions:
(22/5) ÷ (11/10)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(22/5) × (10/11)
220/55
220/55 can be reduced by dividing both the numerator and denominator by their greatest common divisor, which is 5:
(220 ÷ 5) / (55 ÷ 5)
= 44/11
=4
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Help me please like plase
Answer:
Adjacent angles.
Step-by-step explanation:
a and b are next to each other on a straight line.
Help please, keep going down on ixl and it’s due in the morning, currently 1:33 am
Answer:
82 yd²
area of rectangle:
Length * Width
6 * 424 yd²area of 2nd rectangle
5 * 210 yd²area of triangle
1/2 * base * height1/2 * 12 * 848 yd²total:
18 yd² + 10 yd² + 24 yd²82 yd²Doctor Jones starts an appointment every 20 minutes.
Doctor Warholm starts an appointment every 35 minutes.
The first appointment for both doctors starts at 8.30 am.
What is the next time that they have an appointment start at the same time?
The first appointment for both doctors starts at 8:30am.
To find:Next appointment that they start at same time.
Solution:For the same time same time take LCM of 20 and 35.
20= 2x2x5
35= 5×7
hcm (20,35) = 2X2X5X7 = 140
They will take appointment after 140 minutes. 1.e. 2 hours 20 minute.
so, next appoitment will be 10:50a.m.
The next time that they have an appointment start at the same time is at 10:50 a.m.
How do we calculate the appointment time start?We are given that the first appointment for both doctors starts at 8:30am while the Next appointment also started at same time but Doctor Jones starts his every 20 minutes while Doctor Warholm starts his every 35 minutes.
First stepFor the same time, take LCM of 20 and 35.
20 = 2 * 2 * 5
35 = 5 * 7
Second stepHCM (20, 35) = 2 * 2 * 5 * 7
HCM (20, 35) = 140
Hence, it will take the appointment after 140 minutes which equals to 2 hours 20 minute.
Now, from 8.30 am, the addition of the 2 hours 20 minute gives us 10:50 a.m which is the next time that they have an appointment start at the same time.
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A banner is made of a square and a semicircle. The square has side lengths of 26 inches. One side of the square is also the diameter of the semicircle. What is the total area of the banner? Use 3.14 for π.
Answer:
941.33 in^2.
Step-by-step explanation:
The area of a semicircle = 1/2 area of circle = 1/2 * 3.14 * radius^2.
The radius = 1/2 * 26 = 13 in.
Total area = area of square + area of semicirccle
= 26^2 + 1/2 * 3.14 * 13^2
= 676 + 265.33
= 941.33 in^2.
Min draws an isosceles triangle.
Which attributes describe his triangle?
Choose each correct answer.
not a polygon
no angles the same measure
three sides
two obtuse angles
at least two sides of the same length
closed figure
Answer:
three sides
at least two sides of the same length
closed figure
Step-by-step explanation:
1) A triangle is a polygon.
2) Isoceles triangles have 2 equal angles.
3) A triangle has 3 sides
4) An isoceles triangle has 2 acute and 1 obtuse angle
5) An isoceles triangle means to have 2 sides of equal length.
6) A triangle is a closed figure.
Im so desperate
ms. davis sold $309.00 of books. at the end of the day, she earned $27.81 in commission for those sales. what is ms. davis' commission rate?
question 8 options:
11%
9%
3.4%
2.81%
so Ms. Davis gets hmmm say "x" percent from sales as her commission, and we know she did in sales $309 and made $27.81.
if we take 309 to be the 100%, and x% of that is 27.81, what's "x"?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 309 & 100\\ 27.81& x \end{array} \implies \cfrac{309}{27.81}=\cfrac{100}{x} \\\\\\ 309x=2781\implies x=\cfrac{2781}{309}\implies x=9[/tex]
Graph x≥2.
look at attachment
What is the measure of ZABC?
А
D
75
O A. 75°
45
B
E
m
B. 60°
с
O C. 45°
O D. 120°
Answer:
B
Step-by-step explanation:
The measure of the angle ABC in the given circle is 60°
What is circle?A circle is the set of all points in the plane that are a fixed distance (the radius) from a fixed point (the center). Any interval joining a point on the circle to the center is called a radius. By the definition of a circle, any two radii have the same length.
Given is a circle, with arcs DE and AC measuring 45° and 75° respectively,
We need to find the measure of the angle ABC,
So, using the property of a circle, we will have,
∠ ABC = 1/2 {arc DE + arc AC}
= 1/2 {45+75}
= 1/2 x 120
= 60
Hence, the measure of the angle ABC in the given circle is 60°
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Square a root of 32761 by division method
Answer:
181..
Step-by-step explanation:
1 8 1 < answer
-----------
32761
1 1
227
28 224
361
361 361
What is the measure of each angle in the circle?
40°
60°
45°
36°
Answer:
i think it would be 45
hope im right
if not i can change it
Step-by-step explanation:
Answer:
45°
Step-by-step explanation:
The circle is divided into 8 equal arcs, each arc measuring an angle of:
360/8 = 45°
Hope this helps