Which graph represents the solution set to the system of inequalities?
y ≤ 2x + 2
1/2x + y < 7
y − 3 ≥ 0
Answers
Answer:
D.Step-by-step explanation:
y ≤ 2x + 2 ⇒ 2x → line increasing, ≤ → solid line, y≤ → shade below line
¹/₂x + y < 7
y < -¹/₂x + 7 ⇒ -¹/₂x → line decreasing, < → dashed line, y< → shade below line
y − 3 ≥ 0
y ≥ 3 ⇒ 0x → line parallel to X-axis, ≥ → solid line, y≥ → shade above line
Related Questions
Two fair dice are tossed together once. Find the probability that the sum of the outcome is at least 10
Answers
Answer: p = 1/6.
Step-by-step explanation:
First, we have two fair dice, so we have two events.
The number of outcomes for each dice is 6, then the total number of outcomes for the two dice is equal to the product of the number of outcomes in each event.
C = 6*6 = 36.
Now, the combinations that have a sum larger than 10 are:
4 and 6.
6 and 4
5 and 5
5 and 6
6 and 5
6 and 6.
So we have 6 outcomes where the sum of both numbers is larger than 10.
Now, the probability will be equal to the quotient between the number of outcomes where the sum is larger or equal than 10, and the total number of outcomes:
P = 6/36 = 1/6.
Miltiply and simplify (6x - 1)(2x +3)
Answers
Answer:
[tex]\Huge \boxed{12x^2 +16x-3}[/tex]
Step-by-step explanation:
[tex](6x - 1)(2x +3)[/tex]
Expand brackets using the FOIL method.
[tex]6x(2x +3)-1(2x+3)[/tex]
[tex]12x^2 +18x-2x-3[/tex]
Combine like terms.
[tex]12x^2 +16x-3[/tex]
Answer: 12[tex]x^{2}[/tex] +16x -3
Step-by-step explanation:
Multiply the numbers by applying the distributive property twice.
2x(6x -1) = 12x^2 - 2x
3( 6x -1) = 18x - 3
Now put them together.
12[tex]x^{2}[/tex]- 2x + 18x -3 Combine likes terms
12[tex]x^{2}[/tex] +16x - 3
In triangle FGH, FG = 12.3 cm, GH = 10.6 cm, Measure of angle G = 80 degrees, and Measure of angle H = 55 degrees. If Triangle A B C is congruent to triangle G H F, which statement is true?
Answers
Answer:
AB = 10.6 cm
Step-by-step explanation:
In triangle FGH, FG = 12.3 cm, GH = 10.6 cm, m angle G=80 degrees, and m angle H=55 degrees. If triangle ABC GHF, which statement is true?
A. AB = 12.3 cm
B. AB = 10.6 cm
C. M angle C=55 degrees
D. M angle C=80 degrees
Answer:
If triangle ABC ≅ GHF, This means triangle ABC is congruent to triangle GHF.
Two triangles are congruent if the three sides and three angle of one triangle is equal to the three sides and three angle of the other triangle.
Hence the corresponding sides and angles of triangle FGH is equal to the corresponding side and angle of triangle ABC.
AB = GH
AB = 10.6 cm
m∠F + m∠G + m∠H = 180° (sum of angles in a triangle)
m∠F + 80 + 55 = 180
m∠F + 135 = 180
m∠F = 180 - 135 = 45
m∠F = 45°
m∠F = m∠C
m∠C = 45°
Answer:
its B
Step-by-step explanation:
Area of composite shapes
Answers
Answer:
26cm²
Step-by-step explanation:
Parallelogram: 4x5=20
Triangle: 1/2(3)(4)=6
Total = 20+6=26cm²
Determine whether the following sequence is arithmetic, geometric, or neither. 1, 4, 9, 16,
Answers
Answer:
neither
Step-by-step explanation:
The blue and orange lines represent a system. Use the sliders to manipulate the orange line to determine which equations would create a system that has no solution. Check all that apply. Hint: Convert to slope-intercept form.
Answers
Answer:
The answer is "Option A, D, and E".
Step-by-step explanation:
The choices were missing in the question. so, very first, we defined the choices and then we explain why it will be correct.
Missing data:
[tex]A) \ 2x+y=-5 \\B) \ y-3=2x \\C) \ x+y=-2 \\D) \ -2x=y \\E) \ 2x=4-y\\[/tex]
Solve the above value in the form of "[tex]\bold{ y = mx + c}[/tex]", where m= gradient and c= line that cuts on the y-axis.
[tex]A) 2x + y = -5\\\\D) -2x = y\\\\E) 2x = 4- y\\\\[/tex]
Answer:
A,D,E
Step-by-step explanation:
select the equivalent expression
Answers
Answer:
B
Hoped I helped
A cosmetics company tested a new lotion. Of the 2,500 people tested, 15 had an allergic reaction. What percent of the people tested did not have an allergic reaction to the new lotion?
Answers
Answer:
99.4%
Step-by-step explanation: 2500 - 15 = 2485
2485/2500 = 0.994 x 100 = 99.4%
Answer:
99.4%
Step-by-step explanation:
Total number of people tested = 2500
People who had allergic reaction = 15
People who didn't have allergic reaction = 2500 - 15 = 2485
Percentage = Part of a whole / The whole
=> 2485 / 2500
=> 497 / 500
=> .994
To convert a decimal into percent:
=> We need to make the decimal point move 2 times to the right
=> .994
=> 99.4%
So, 99.4% of the people who were tested, didn't have an allergic reaction.
An amount of #550,000.00 was realised when a principal,x was saved 2% simple interest for 5 years. Find the value of x
Answers
Answer:
x = 250,000
Step-by-step explanation:
A = P(1 + rt)
550,000 = x (1 +2% x 60)
550,000/(1 +2% x 60) = 250,000
x = 250,000
Check your answer
A = 250,000 (1+2%x60)
A = 550,000
pls mark brainliest
what is 1 5/8 in decimal form?
Answers
Answer:
1.625
Step-by-step explanation:
So you have to convert the 5/8ths into something that can go into 10.
So 100/8 is equivalent to 12.5. But you'll have to make that into decimal form, so move that 2 places to the right, to get 0.125. 0.125 times 5 is 0.625. And 1 is just 1 as a whole number. 1 plus 0.625 is 1.625.
The decimal form of the given number [tex]1\frac{5}{8}[/tex] is 1.625
What is the decimal form of a number?In Algebra, decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.
Given is a fractional number [tex]1\frac{5}{8}[/tex], we need to find the decimal form of it,
Converting [tex]1\frac{5}{8}[/tex] into fraction,
[tex]1\frac{5}{8}[/tex] = 13/8
When we divide 13 by 8, we will get 1.625
Hence, the decimal form of the [tex]1\frac{5}{8}[/tex] is 1.625
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James truck shows that his average gas mileage per day is 29 miles per gallon of gas. If james drives about 87 miles each day about how much gas does he use in 14 days of driving
Answers
Answer: 42 gallons
Step-by-step explanation:
given data:
average gas mileage/day = 29miles/gallon
distance travelled each day by James = 87miles
How much gas does he use in 14days drive.
solution:
james drives 87miles daily, so in 14 days he would have travelled
= 87miles * 14
= 1218miles travelled.
gas used in 14days
1218miles distance traveled in 14 days
29miles/gallon
= 1218miles / 29miles
= 42gallons of gas have been used by janew to fuel his truck in 14days.
If the measure of arc HG = 93°, calculate angle HDG.
Answers
Answer:
∠HDG = 87°
Step-by-step explanation:
The angle made by two tangents is the supplement of the intercepted arc.
∠HDG = 180° -HG = 180° -93°
∠HDG = 87°
PLEASE SHOW ALL WORK NEED ASAP GIVING BRAINLIEST
Answers
Step-by-step explanation:
From the figure we observe :
Length of laundry room (G) = C - H
G = (4x - 2) - (x + 6) = 3x - 8
Breadth of laundry room (F) = K - E
F = (2x - 5) - (x - 13) = x + 8
(A) Perimeter = 2(L + B)
= 2(4x)
= 8x
(B) Area = L * B
= (3x - 8) * (x + 8)
= 3x^2 + 16x - 64
does this table show y as a function of x ?
: (-3,1) (0,-5) (4,7) (-3,0)
Answers
Answer:
No.
Step-by-step explanation:
The definition of a function is that every output (x) has only one input (y).
Here -3 gives two different outputs which contradicts the definition of a function.
solve for j : 16 = j + -3
Answers
-j = -16 - 3
-j = -19
j = 19
Answer:
[tex]\boxed{j=19}[/tex]
Step-by-step explanation:
Hey there!
Given the following,
16 = j -3
Single out j
+3 to both sides
19 = j
Hope this helps :)
In a pyramid, the area of the base, A, is measured by the formula A=3v/h, where V= volume and h=height. Solve the formula for h
Answers
Find the value of x. A. 40 B. 15 C. 28 D. 20
Answers
Answer:
x = 15
Step-by-step explanation:
Angle Formed by Two Secants = 1/2(DIFFERENCE of Intercepted Arcs)
2x +15 = 1/2 (10x+20 - 80)
Multiply by 2
4x+30 = (10x+20 - 80)
Combine like terms
4x+30 = 10x-60
Subtract 4x from each side
30 = 6x-60
Add 60 to each side
90 =6x
Divide by 6
15 =x
Answer:
B.) 15
Step-by-step explanation:
I got it correct on founders edtell
Triangle QRS is a right triangle with the right angle at vertex R. The sum of m∠Q and m∠S must be equal to 45°. greater than 45° and less than 90°. equal to 90°. greater than 90° and less than 180°.
Answers
Answer:
The sum of m∠Q and m∠S must be equal 90°Step-by-step explanation:
The measure of right angle is 90°
The sum of measures of angles in any triangle is 180°
so:
m∠Q + m∠S + ∠R = 180°
m∠Q + m∠S + 90° = 180°
m∠Q + m∠S = 180° - 90°
m∠Q + m∠S = 90°
In right triangle QRS with ∠R = 90° , the sum of m ∠Q and m ∠S must be equal to 90°.
What is right triangle?"Right triangle is defined as the two dimensional figure with three sides and three vertices and angles enclosed in it, with one of the interior angle is of 90°."
Condition used
In ΔQRS
∠Q + ∠R + ∠S = 180°
According to the question,
Given,
In right triangle ΔQRS,
∠R = 90°
Substitute the value in the above condition of triangle we get,
∠Q + 90° + ∠S =180°
⇒ ∠Q + ∠S =180°- 90°
⇒∠Q + ∠S = 90°
Hence, in right triangle QRS with ∠R = 90° , the sum of m ∠Q and m ∠S must be equal to 90°.
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10 subtracted from the sum of a triple number and 12
Answers
Answer:
(3x+12)-10
Step-by-step explanation:
-16 + 12 ? can somebody help pleaseeeeeeeeee !
Answers
Answer:
-4
Step-by-step explanation: I think of this by turning it to a subtraction problem. 16-12=4. But you still do have to add the negitive symbol
Answer:
-4
Step-by-step explanation:
its easier to think of it as 16-12 then if the negative number is greater than the positive add a negativ esymbol.
Hoped i explained that good enough.
Factor ^2 - 4x + 4.
x^2 - 4x +4=
Answers
This is the same as [tex](x-2)^2[/tex]
============================================
Explanation:
The middle coefficient is -4 and the last term is 4.
We need to find factors of the last term that add to the middle coefficient.
Here is a list of all ways to multiply two integers to get 4, and the sum of each pair of factors.
-1 + (-4) = -5-2 + (-2) = -42 + 2 = 41 + 4 = 5The second row of that list above is what we're after. So
-2 + (-2) = -4
-2 * (-2) = 4
Meaning the factorization is (x-2)(x-2). Note the "-2" values in each factor
We can use the FOIL rule or distribution to go from (x-2)(x-2) back to x^2-4x+4 to confirm the answer.
Solve for x. 2x+5+6x-1=120
Answers
Answer:
x=14.5
Step-by-step explanation:
2x+5+6x-1=120
Combine like terms (combine all of the variables and then combine all of the constants)
8x+4=120
subtract 4 on both sides
8x=116
Divide 8
x=14.5
Hope this helps!
simplify: 3x+8 -5x +10
Answers
Answer:
-2x +18 or 18 - 2x
Step-by-step explanation:
You have 3x and you have -5x so take 5 away from 3 to get -2x
Then you have +8 and +10 so add them together and you get an answer of 18
Put the two answers from the equation together and you have got 18-2x
Hope this helps :)
Start by changing the problem to 3x + 8 + -5x + 10.
Combine like terms → your numbers and your "x" terms.
So 3x + -5x is -2x and 8 + 10 is 18.
So the answer is -2x + 18.
A 15 foot ladder is leaning against a wall. The foot of the ladder is 7 feet from the wall. How high up the wall is the ladder? Round to the nearest tenth if necessary.
Answers
Answer:
13.26
Step-by-step explanation:
The computation of the height should be computed by using the Pythagoras theorem
As we know that
Hypothenuse^2 = base^2 + height^2
where,
Hypothenuse is 15 foot
And, the foot of the ladder i.e base is 7
So now placing these values
The height is
15^2 = 7^2 + height^2
225= 49 + height^2
After solving this, the height is 13.26
Please help!! due very soon
Answers
Answer:
x=12°, ∡B=48°
Step-by-step explanation:
∡A=∡B
5x-12=2x+24
5x-2x=24+12
3x=36
x=12°
∡B=2*12+24°=48°
help...* * +++:)> ......
Answers
Answer:
Hey there!
7(3x-1)-(x+5)=-52
21x-7-x-5=-52
20x-12=-52
20x=-40
x=-2
find
[tex] \frac{dy}{dx \: } of \: \frac{x {}^{2} }{a {}^{2} } + \frac{y {}^{2} }{b { }^{2} } = 1 \\ \\ if \: x = a \cos( \alpha \:) \: and \: \: y \: = b \sin( \alpha ) [/tex]
pls help me
Answers
Answer:
dy/dx = -b/a cot α
Step-by-step explanation:
x² / a² + y² / b² = 1
Take derivative with respect to x.
2x / a² + 2y / b² dy/dx = 0
2y / b² dy/dx = -2x / a²
dy/dx = -b²x / (a²y)
Substitute:
dy/dx = -b²a cos α / (a²b sin α)
dy/dx = -b cos α / (a sin α)
dy/dx = -b/a cot α
If the third term in an arithmetic sequence is 7 and the common difference is -5, what is the value of the fourth term? A) 12 B) 2 C) -35 D) 35
Answers
Answer:
B) 2
Step-by-step explanation:
a3 = 7 , d = -5 (GIVEN)
a4 = a3 + d
= 7 + (-5)
= 7 - 5
a4 = 2
HOPE IT HELPS (✷‿✷)
Answer:
[tex]\Huge \boxed{a_4=2}[/tex]
Step-by-step explanation:
The third term in an arithmetic sequence is 7.
The common difference is -5.
The common difference of an arithmetic sequence is found by subtracting a term in the sequence with the previous term.
[tex]d=a_4-a_3[/tex]
Solving for the fourth term.
[tex]a_4 = a_3 + d[/tex]
Plugging in the values and evaluating.
[tex]a_4=7+-5[/tex]
[tex]a_4=2[/tex]
The value of the fourth term is 2.
how do you find the area of a square or rectangle, i need an example to go with it too
Answers
*area equals length times width
5ft x 12ft= 60ft^2
two angle in a triangle message 2x+30 degree and 5x+30 degree respectively if these angle are congruent, what is the value in degree of X
Answers
Answer:
x = 0
Step-by-step explanation:
two congruent angles 2x + 30 and 5x + 30
2x + 30 = 5x + 30
2x = 5x
2x + (-5x) = 5x + (-5x)
-3x = 0
x = 0 / -3
x = 0
The value of x will be;
⇒ x = 0
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Two angle in a triangle 2x+30 degree and 5x+30 degree are congruent.
Now,
Since, Two angle in a triangle 2x+30 degree and 5x+30 degree are congruent.
Hence, We get;
⇒ 2x + 30 = 5x + 30
Solve for x as;
⇒ 30 - 30 = 5x - 2x
⇒ 0 = 3x
⇒ x = 0
Thus, The value of x = 0
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