Answer:
We have the system:
x ≤ 7
x ≥ a
Now we want to find the possible values of a such that the system has, at least, one solution.
First, we should look at the value of a where the system has only one solution:
We can write the 2 sets as:
a ≤ x
x ≥ 7
So, writing both together:
a ≤ x ≤ 7
if a is larger than 7, we do not have solutions.
then a = 7 gives:
7 ≤ x ≤ 7
Here the only solution is 7.
Now, if a is smaller than 7, for example 5, we have:
5 ≤ x ≤ 7
Now x can take different values, so we have a lot of solutions.
Then the restrictions for a, such that the system has at least one solution, is:
a ≤ 7.
h(t) = at^2 + vt +h0
The temperature falls 15º and then rises 18°
Answer:
3 degrees
Step-by-step explanation:
Answer:
3 more then the original number
Step-by-step explanation:
5(-2n+6) = 70
Please Help me! This Is algebra
Answer:
the answe is -4
Step-by-step explanation:
first you distribute the five to the numbers in the paranthesis
5(-2n+6)
-10n+30=70.
than we subtract 30 from the 30 and 70
-10n=40
Next we divide by 10 to 40 and -10n
n=-4
the reason it negative is because if you divide a negative and a positive it always make a negative.
Solve the compound inequality. −5x≤−10 or 7x−21≥14
-5x ≤ -10
Divide both sides by -5
x ≥ 2
7x - 21 ≥ 14
Add 21 to both sides
7x ≥ 35
Divide both sides by 7
x ≥ 5
Use Similar triangles to calculate the height, h cm, of traingle ABE
Answer:
24 cm
Step-by-step explanation:
Since the triangles are similar, their dimensions are proportional. The base DC is half the base AE, so we know the ratio of triangle heights is 1 : 2.
Then the bottom height (h) ratio to the overall height is ...
h : 36 = 2 : (1+2) = 2 : 3 = 24 : 36
The height h is 24 cm.
F(x) = x + 4
G(x) = x^2 + 4
Find (fog) (3)
___Another word for a fraction. pick one of these: Absolute Value Distributive Property Equation Evaluate Equivalent Simplify Expression Integers Like Terms Inequality Reciprocal Coefficient Variable Solution Ratio
Mary Ellen has a white oak tree in her backyard.she observed that the tree had grown 2/3 foot in 3/4 year. What is the tree grownth rate in feet year? A.1/2 b.9/9 c1/1.8 d.2
Answer:
in 3/4 year tree had grown 2/3
in 1 year tree had grown (2/3)/0.75 =8/9 feet
Step-by-step explanation:
Does anyone know what these are?? I desperately need help :((
Answer:
3) x=7
4) x=6
5) x=8
6) x=4
AB=24
Step-by-step explanation:
3) 3x+4x=49
7x=49
x=49÷7
x=7
4) (8x-14)+(4x+1)=59
12x-13=59
12x=59+13
12x=72
x=6
5) 6x-7=5x+1
6x-5x=1+7
x=8
6) 6x+2x+1=33
8x=33-1
8x=32
x=4
AB=6x=6(4)=24
Their are 35 green marbles out of 60 marbles in the bag what is the ratio of the green marbles to total marbles?
Answer:
7:12
Step-by-step explanation:
I hope it helps. Hope its correct
Solve for w: -4u-w = u+6w
Answer:
w = -(5 u)/7
Step-by-step explanation:
Solve for w:
-w - 4 u = 6 w + u
Hint: | Isolate w to the left-hand side.
Subtract 6 w - 4 u from both sides:
-7 w = 5 u
Hint: | Solve for w.
Divide both sides by -7:
Answer: w = -(5 u)/7
help please!!!
the volleyball boosters sell bags of popcorn during the varsity matches to raise money for new uniforms. each bag of popcorn costs $3
2) translation: 1 unit left and 2 units up
Answer:
[tex](x,y)\rightarrow(x-1,y+2)[/tex]
Step-by-step explanation:
One unit left would be subtracting 1 from the pre-image's x-value.
Two units up would be adding 2 to the pre-image's y-value.
The translation rule would be:
[tex](x-1,y+2)[/tex]
Hope this helps.
The coordinates after the translation of 1 unit left and 2 units up will be (x-1,y+2).
What is geometric transformation?It is described as the alteration of the geometric body's form and coordinates. It is also known as a two-dimensional transformation. Rotation, translation, reflection, and gliding translation are just a few of the geometric transformations that may affect geometry.
It is given that the coordinates of the points are (x,y)
We have to find the coordinates after the translation of 1 unit left and 2 units up.
A sort of transformation called a translation involves moving each point in a figure the same distance in the same direction.
The final unit would be to deduct 1 from the x-value of the pre-image. The pre-y-value images would be increased by 2 by moving two units higher.
Thus, the obtained coordinates will be (x-1,y+2).
The question is incomplete.
The complete question is" if the coordinates of the points are (x,y). What will be the coordinates after the translation of 1 unit left and 2 units up?
Learn more about the geometric transformation here:
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Help!!! What is the area of this shape????????
Answer:
.
Step-by-step explanation:
Area of the triangle = 1/2 × the height × base length
Area = 1/2 × 5 × (8 + 8)
= 1/2 × 5 × 16
= 40 cm²
45 + 4x = 6x + 5
I don't understand how to do it can you pleas help put??
Answer:
x=20
Step-by-step explanation:
45+4x=6x+5
45=2x+5
40=2x
20=x
x=20
Answer:
x = 20
Step-by-step explanation:
45 + 4x = 6x + 5
45 - 5 =6x - 4x
40 = 2x
x = 40/2
x = 20
Check:
45 + 4*20 = 6*20 + 5
45 + 80 = 120 + 5 = 125
2. Which of the follow is equivalent to the quantity below? *
(1 Point)
2-1
3
1
2
Need help!!!!!!!!!!!!!
Help!!!!!!!!!!!!!! Box one and box 2
Which of the following is the rule for the geometric sequence 1, 3, 9, 27, . . .?
Answer:
[tex]a(n) = 1 \times {3}^{n - 1} [/tex]
Step-by-step explanation:
We started at 1And it seems that index after index it multiplies by 3The formula for the geometric sequence defined implicitly is a(n) =a(1)r^(n-1)[tex]a(n) = a(1) {r}^{n - 1} \\ a(n) = 1 \times {3}^{n - 1} [/tex]
Answer:
D
Step-by-step explanation:
PLEASE ANSWER: find the slope of the line through each pair of points. (1,6) and (8,-1)
Answer: -1
Step-by-step explanation:
To find the slope fo the line with the given points, you use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]m=\frac{-1-6}{8-1}=\frac{-7}{7} =-1[/tex]
Now, we know that the slope is -1.
1. In 2000, Florida's population was 16 million. Since 2000, the state's population has grown about 2% each
year. How big will the population be in 2016?
Answer:
13620000
Step-by-step explanation:
Molly and James tracked the average temperature in their city for the past 8 days. They recorded their temperature findings in this list. 74°F , 79°F , 76°F, 85°F, 87°F, 83°F, 86°F, 78°F What is the mean absolute deviation of this data set?
Answer:
Mean = 81°F.
S. dev. = 5°F.
Step-by-step explanation:
When we have a set of data:
{x₁, x₂, ..., xₙ}
The mean can be calculated as:
M = (x₁ + x₂ ... + xₙ)/N
Where N is the number of data points that we have:
in this case the set is:
{ 74°F , 79°F , 76°F, 85°F, 87°F, 83°F, 86°F, 78°F }
So N = 8.
Then the mean is:
M = ( 74°F + 79°F + 76°F + 85°F + 87°F + 83°F + 86°F + 78°F )/8
M = 81°F.
Now, the standard deviation can be calculated as.
Sd = √ ( (1/N)*∑(xₐ - M)^2)
where the summation is over xₐ, which represents a summation over all the points in the data set.
Then we can write the standard deviation as:
Sd = √(1/8)*√( (74°F - 81°F)^2 + (79°F - 81°F)^2 + (76°F - 81°F)^2 + (85°F - 81°F)^2 + (87°F - 81°F)^2 + (83°F - 81°F)^2 + (86°F - 81°F)^2 + (78°F - 81°F)^2)
Sd = 4.58°F.
That we should round up to 5°F (because our mean has no digits after the decimal point)
Name the plane represented by the top of the box.
Answer:
BCD
Step-by-step explanation:
The top rectangle is ABCD because of its vertices. BCD is included in it.
The top plane represented by the BCD
What is plane?In geometry, a plane is a flat surface that extends into infinity. It is also known as a two-dimensional surface. A plane has zero thickness, zero curvature, infinite width, and infinite length. It is actually difficult to imagine a plane in real life; all the flat surfaces of a cube or cuboid, flat surface of paper are all real examples of a geometric plane. We can see an example of a plane in which the position of any given point on the plane is determined using an ordered pair of numbers or coordinates. The coordinates show the correct location of the points on the plane.
As, per the figure we can say that the upper plane is made of plane ABCD.
So, among all the option BCD will be correct because BCD is part of ABCD.
Learn more about plane here:
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simplify. 3+9⋅7−8÷2
A= 29
B= 38
C= 62
D= 80
Steps to solve:
3 + 9 * 7 - 8 / 2
~Multiply
3 + 63 - 8 / 2
~Divide
3 + 63 - 4
~Add
66 - 4
~Subtract
62
Best of Luck!
Choose te correct symbol
Answer:
<
Step-by-step explanation:
A game at the state fair has a circular target with a radius of 10.7 cm on a square board measuring 30 cm on a side. Players win prizes if they throw a dart and hit the circular area only.
What is the probability of a player winning with one dart?
Answer:
The probability of hitting the circular area = P(H) = favorable area/ total area = Area of the circle / Area of the square
Step-by-step explanation:
= π/9
7x^2+8=18x Need help learning factoring please put work so I can understand
Answer:
(x - 2)(7x - 4)=0
Step-by-step explanation:
[tex]7 {x}^{2} + 8 = 18x \\ 7 {x}^{2} - 18x + 8 = 0 \\ 7 {x}^{2} - 14x - 4x + 8 = 0 \\ 7x(x - 2) - 4(x - 2) = 0 \\ (x - 2)(7x - 4) = 0[/tex]
Identify the scale factor.
Wingspan of airplane: 102 ft
Wingspan of model airplane: 6 ft
The scale factor is
Answer:
the scale factor is 17ft : 1ft
for every 17 feet on the original, there is 1 foot on the model.
0.5444 as a fraction
1361/2500 or 54.44%.
Answer:
49/90
Step-by-step explanation:
x=0.5444....
10x=5.4444....
1x=0.5444....
9x=4.9
x=4.9/9
x=49/90
hope it might help you
Can anyone help me please very urgent due tonight being graded need help 2.Joey gets an allowance of $17 per week. He wants to buy a new basketball that costs $43.67. When will Jose be able to buy the basketball if he has already saved $22.22, but also has to pay $13.45 each week for snacks and school supplies? make an equation or inequality and solve. Show your work
Repeating Decimals
to Fractions
1)0.6
2)0.45
3)0.2
4)0.90
Answer:
1. 3/5
2. 9/20
3. 1/5
4. 9/10
Step-by-step explanation: