Answer:
b = 4
Step-by-step explanation:
Use the slope-intercept form y = m x + b to find the y-intercept b .
Answer:
C: 4
Step-by-step explanation:
8/7 = 12/k solve for k
Answer:
k = 10.5
Step-by-step explanation:
8/7 = 12/k
Using cross products
8k = 7*12
8k = 84
Divide each side by 8
8k/8 = 84/8
k = 10.5
Answer:
k= 10.5
Step-by-step explanation:
We can solve this by using cross multiplication
We multiply the values across from each other
8k=7(12)
Then we multiply 7 and 12, and then divide by 8
8k=84
k= 10.5
look at this triangle, work out length of BC
Answer:
√105
Step-by-step explanation:
The square value of hypotenuse is equal to sum of base and side length (sum their square)
13^2 = 8^2 + BC^2
169 = 64 + BC^2
105 = BC^2
BC = √105
Answer:
≈ 10.25 cm
Step-by-step explanation:
Pythagora
BC² = AB² - AC²
BC = √(13² - 8²)
= √(169 - 64)
= √105
≈ 10.25 cm
Please help ASAP+ brainliest
Answer:
c
Step-by-step explanation:
Beth is knitting mittens and gloves. Each pair must be processed on three machines. Each pair of mittens requires 2 minutes on Machine A, 2 minutes on Machine B, and 4 minutes on Machine C. Each pair of gloves requires 4 minutes on Machine A, 2 minutes on Machine B, and 1 minute on Machine C. Machine A, B, and C are available 32, 18, and 24 minutes, respectively, everyday. The profit on a pair of mittens is $8.00 and on a pair of gloves is $10.00.
Answer:
Two mittens and seven gloves
Step-by-step explanation:
I presume you are asking how many mittens and how many gloves Beth should knit to produce the most profit.
Let x = the number of mittens and
Let y = the number of gloves
1. Summarize the information in a table
[tex]\begin{array}{cccc}&\textbf{Mittens}& \textbf{ Gloves} & \textbf{Minutes Available}\\\text{Machine A} & 2 & 4 & 32\\\text{Machine B} & 2 & 2 & 18\\\text{Machine C} & 4 & 1 & 24\\\text{Unit profit} & $8.00 & $10.00 & \\\end{array}[/tex]
2. List the constraints
(a) Beth can't make a negative number of mittens, so
x ≥ 0.
(b) Neither can she make a negative number of gloves, so
y ≥ 0.
(c) The total number of minutes on Machine A cannot exceed 32, so
2x + 4y ≤ 32.
(d) The total number of minutes on Machine B cannot exceed 18, so
2x + 2y ≤ 18.
(e) The total number of minutes on Machine C cannot exceed 24, so
4x + y ≤ 24.
3. Write an equation for the profit
P = 8.00x + 10.00y
4. Graph the constraints to identify the feasible region
See the figure below. The feasible region is the dark green area where all three regions overlap.
5. Determine the points of intersection between the constraints
(i) Constraints (c) and (d)
[tex]\begin{array}{rcr}2x + 4y & = & 32\\2x + 2y & = & 18\\2y & = & 14\\y & = & \mathbf{7}\\2x + 14 & = & 18\\2x & = &4\\x & = & \mathbf{2}\\\end{array}\\[/tex]
The lines intersect at (2,7).
(ii) Constraints (c) and (e)
[tex]\begin{array}{rcl}2x + 4y & = & 32\\4x + y & = & 24\\4x + 8y & = & 64\\7y & = & 40\\y & = & \mathbf{\dfrac{40}{7}}\\\\4x + \dfrac{40}{7} & = & 24\\\\4x & = &24 - \dfrac{40}{7}\\\\4x & = & \dfrac{128}{7}\\\\x & = & \mathbf{\dfrac{32}{7}}\\\\\end{array}\\[/tex]
The lines intersect at (27/7,32/7).
(iii) Constraints (d) and (e)
[tex]\begin{array}{rcr}2x + 2y & = & 18\\4x + y & = & 24\\4x + 4y & = & 36\\3y & = & 12\\y & = & \mathbf{4}\\4x +4 & = & 24\\4x & = &20\\x & = & \mathbf{5}\\\end{array}\\[/tex]
The lines intersect at (5,4).
6. Determine the x- and y-intercepts of the feasible region
(i) x-intercept
[tex]\begin{array}{rcr}4x + y & = & 24\\4x + 0 & = & 24\\x & = & \mathbf{6}\\\end{array}[/tex]
The x-intercept is at (6,0).
(ii) y-intercept
[tex]\begin{array}{rcr}2x + 4y & = &32\\2(0) + 4y & = &32\\4y & = & 32\\y & = & \mathbf{8}\\\end{array}[/tex]
The y-intercept is at (0,8).
The five black dots are the vertices of the polygon that represents the feasible region.
7. Calculate the maximum profit
Calculate the profit at each of the vertices.
(i) At (0,0)
P = 8.00x + 10.00y = 8.00(0) + 10.00(0) = 0 + 0 = $0
(ii) At (2,7)
P = 8.00(2) + 10.00(7) = 16 + 70 = $86
(iii) At (5,4)
P = 8.00(5) + 10.00(4) = 40 + 40 = $80
(iv) At (6,0)
P = 8.00(6) + 10.00(0) = 48 + 0 = $48
The maximum profit occurs at (2,7)
Thus, Beth should knit two mittens and seven gloves.
2 Points
Which of the following is the correct factorization of the trinomial below?
- 7x2 - 5x + 18
A. (-7x- 9)(x+2)
B. -7(x-6)(x+1)
C. -1(7x - 9)(x + 2)
D. (-7x + 9)(x - 2)
SUBMIT
Answer:
C
Step-by-step explanation:
1. Factor a negative one out of the problem.
-1( 7x^2 +5x -18)
2. Factor.
{Factors of 7= 7 &1}
3. (7x ___) (x _____)
Factors of 18= 6,3,18,1,2,9
5 needs to be postive.
Can someone please help me solve this?
Answer:
centre = (-5, -4)
radius = 7.42
Step-by-step explanation:
The general form for center-radius is
(x - h)² + (y - k)²= r²
Center = (h, k)
Radius = r
Rearrange the equation.
(x² + 10x) + (y² + 8y) - 14 = 0
Add 14 on both sides.
(x² + 10x) + (y² + 8y) = 14
(10/2)² = 25
(8/2)² = 16
Add 25 and 16 to both sides.
(x² + 10x + 25) + (y² + 8y + 16) = 14 + 25 + 16
Factor left side of the equation.
(x+5)² + (x+4)² = 55
(55) = (7.416198)²
(x+5)² + (x+4)² = 7.42²
The radius is 7.42.
The centre is at (-5, -4).
What is the simplified value of the expression below?
24-12(divided)2x3.2
4.8
19.2
22.1
57.6
Answer:
4.8
Step-by-step explanation:
24 - 12/2 × 3.2
Division first.
24 - 6 × 3.2
Multiply.
24 - 19.2
Subtract.
= 4.8
Answer:
[tex]4.8[/tex]
Step-by-step explanation:
[tex]24 - 12 \div 2 \times 3.2 \\ 24 - 6 \times 3.2 \\ 24 - 19.2 \\ = 4.8[/tex]
WILL AWARD BRAINLIEST
Note: This is the same question as #3, but the third row of the proof is different!
Statements
Reasons
0
DE || AB
Given
E
B
CDE
Given: DE || AB
Prove: AABC-
ZCE
AABCN
Answer:
ΔABC is similar to ΔCDE
Step-by-step explanation:
Statement Reason
DE ║AB Given
∠CDE ≅ ∠CAB Corresponding Angles Theorem
∠C ≅ ∠C Reflexive property of congruence
ΔABC is similar to ΔCDE AA postulate
The Corresponding Angles Theorem states: If two parallel lines (DE and AB) are cut by a transversal (CA), then the pairs of corresponding angles are congruent (∠CDE and ∠CAB).
Reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself (∠C is congruent to itself).
Angle Angle (AA) postulate states that two triangles are similar if they have two corresponding angles congruent (∠CDE ≅ ∠CAB and ∠C ≅ ∠C)
Find the focus and the directrix of the parabola with the equation y = 1∕4(x – 6)2+ 5
Question 16 options:
A)
Focus = (5,–6), directrix is y = –7
B)
Focus = (6,6), directrix is y = 4
C)
Focus = (6,–6), directrix is y = –4
D)
Focus = (–5,6), directrix is y = –4
Answer:
B)
Focus = (6,6), directrix is y = 4
Step-by-step explanation:
A parabola is the locus of a point that is equidistant from a fixed line (known as directrix) and a fixed point (known as focus).
The equation of a parabola in vertex form is given as:
[tex]y=a(x-h)^2+k[/tex]
It can be further simplified to:
[tex](x-h)^2=4p(y-k)[/tex]
The directrix of this parabola is given at line y = k - p and the focus is at (h, k + p)
Given that:
[tex]y = \frac{1}{4}(x-6)^2+ 5 \\(y-5)=\frac{1}{4}(x-6)^2\\(x-6)^2=4(y-5)[/tex]
Comparing (x-6)² = 4(y-5) with (x-h)² = 4p(y-k), It can be gotten that h = 6, p =1 and k = 5
The directrix of this parabola is given at line y = k - p = 5 - 1 = 4 and the focus is at (h, k + p) = (6, 5+1) = (6, 6)
Focus = (6,6), directrix is y = 4
1) sqrt x^+6x+9 if x≥3
2) sqrt x^2+6x+9 if −3≤x<3
3) sqrt x^2−6x+9 if x<−3
will give brainliest
Answer:
Step-by-step explanation:
first one:
[tex]x^{2}+6x+9={(x+3)}^{2} \\\sqrt{{(x+3)}^{2} }=x+3[/tex]
second one:
[tex]x^{2}+6x+9=(x+3)^{2} \\\sqrt{(x+3)^{2} } = x+3[/tex]
third one:
[tex]x^{2} -6x+9=(x-3)^{2} \\\sqrt{(x-3)^{2} } =|x-3| \ \ (because \ x<-3)[/tex]
**true or false**
all functions are relations but not all relations are functions
explain
Answer:
This is true
Step-by-step explanation:
because every function creates by making an one way relation. But relation makes from both side for that reason all relation are not function
Which phrase best describes mortgage collateral?
A.money used as a down payment for the loan
B.assets obtained after securing the loan
C.the purchased property that secures the loan
D.closing costs covered by the buyer
Answer:
C. the purchased property that secures the loan
Step-by-step explanation:
Mortgage collateral describe the use of a property e.g house to secure a loan. This collateral is always requested when a large amount of money is involved. The house could be sold if the borrower renege (fail to meet up with) on the due date as regards the agreement after collecting the loan.
Therefore, a mortgage collateral could be referred to as the purchased property that has been used to secure a loan by a borrower.
Therefore the purchased property that secures the loan is the correct answer.
What is Collateral ?Collateral refers to an asset that a borrower offers as a guarantee for a loan, such as a mortgage.
When you obtain the loan, the lender puts a lien on the collateral. The lien stipulates that the lender can seize the collateral if you don’t repay the loan under the terms of the contract.
Once you repay the loan, the lender removes the lien and no longer has a claim to the collateral.
In the case of a mortgage, the collateral is the real property.
When determining whether to approve your loan, the lender will ensure that the property ,the collateral ,is actually worth what you propose to pay for it with the loan.
If it isn’t, the lender can deny the mortgage because the asset isn’t worth the risk.
Therefore the purchased property that secures the loan is the correct answer.
To know more about Collateral
https://brainly.com/question/6779619
#SPJ5
f(x) = 1/2 x-5
What is f(6)?
8
-2
1
7
Answer:
f(6) =-2
Step-by-step explanation:
f(x) = 1/2 x-5
Let x = 6
f(6) = 1/2 *6-5
=3 -5
= -2
Answer:
[tex]-2[/tex]
Step-by-step explanation:
[tex]f(6)=\frac{1}{2}6-5 = -2[/tex]
What is the value of c in the equation below?
2(to the negative fourth power) • 2 (to the positive second power) = a(To the power of “b”) = c
A) -4
B) -2
C) 1/64
D) 1/4
Answer:
D
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] and [tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]
Given
[tex]2^{-4}[/tex] × 2² = [tex]2^{(-4+2)}[/tex] = [tex]2^{-2}[/tex] = c , hence
c = [tex]2^{-2}[/tex] = [tex]\frac{1}{2^{2} }[/tex] = [tex]\frac{1}{4}[/tex] → D
Answer:
The answer is option D.
Step-by-step explanation:
2^-4 • 2² = a^b = c
Use the rules of indices
Since the bases are the same and they are multiplying we add the exponents
That's
2^-4 + 2 = a^b = c
2^-2 = a^b = c
a^b = 2^-2
c = 1/4
Hope this helps you.
Please help me solve. Surface area of this pyramid?
Answer:
2619mm^2
Step-by-step explanation:
Surface Area: 2bh+b^2
2(27)(35)+27^2
1890+729=2619
A factory can work its employees no more than 5 days a week, and no less than 2 days per
week. Create an inequality to represent the range of days an employee can work. Solve the
inequality to determine the range in hours. Show all of your work.
Answer: A.) 2 <= X <= 5
B.) 48 < = X < = 120
Step-by-step explanation:
Given that a factory can work its employees no more than 5 days a week, that is, less than or equal to 5 days a week
And also, no less than 2 days per week. That is, greater than or equal to 2 day a week.
Let X represent the number of days an employee can work per week.
According to the first statement,
X < = 5
According to the second statement,
X >= 2
An inequality to represent the range of days an employee can work will be
2 < = X <= 5
To represent the range in hours, first convert the number of days to hour
1 day = 24 hours
2 days = 2 × 24 = 48 hours
5 days = 5 × 24 = 120 hours
Therefore, the range will be
48 < = X < = 120
Complete the equation of the line (-6,-5) (-4,-4)
Answer: Yes.
Step-by-step explanation:
Find the value of the letter in each of the following. Give your answers to 1 d.p.
Answer:
a) z = 70.5°
b) s = 83.6°
c) x = 0.7cm
Step-by-step explanation:
We would solve for the above questions using Trigonometric functions of either Sine, Cosine or Tangent.
a) We are given the following values
Hypotenuse = 21 inches
The triangle is divided into two to give us a right angle triangle
The adjacent side = 14inches/2 = 7 inches
We are to find Angle z
The Trigonometric function we are using is Cosine
cos z = Adjacent / Hypotenuse
cos z = 7/21
cos z = 1/3
z = arc cos(1/3)
z = 70.528779366°
To 1 decimal place
z = 70.5°
b) We are given the following values
Hypotenuse = 12 cm
The triangle is divided into two to give us a right angle triangle
The opposite side = 16cm/2 = 8 cm
We are to find Angle s, but it is split into 2
So we represent the half as x
The Trigonometric function we are using is Sine
sin x = Opposite/ Hypotenuse
sin x = 8/12
sin x = 2/3
x = arc sin(2/3)
x = 41.810314896°
Remember in the question, we are to find s.
s = x° × 2
s = 41.810314896 × 2
s = 83.620629792
To 1 decimal place
s = 83.6°
c) From the above diagram, we are to find the Opposite side represented by x
Our triangle is split into two equal halves
Adjacent side = 2cm
Angle θ = 36°/2 = 18°
We are using Trigonometric function tan to solve for question c
tan θ = Opposite/ Adjacent
tan 18° = Opposite/ 2
Cross Multiply = tan 18° × 2
0.3249196962 × 2
= 0.726542528cm
To one decimal place,
x = 0.7cm
f(x) = x2. What is g(x)?
Answer: C
Step-by-step explanation:
f(x) = x²
g(x) has the same vertex as f(x) but is wider so has a vertical stretch by a factor of (1/3).
g(x) = (1/3)x²
What is the value of the expression below? 81^5/4
Answer:
81^5/4
Rewrite 81 in index form that is 3⁴
So we get
3⁴ × ^5/4
= 3^5
= 243
Hope this helps
Answer:
243 is correct
Step-by-step explanation:
Need help with this question!
Answer:
x=1.8 cmStep-by-step explanation:
(2x)²+(x+3)²=(2x+2.4)²
4x²+x²+6x+9=4x²+9.6x+5.76
5x²+6x+9-4x²-9.6x-5.76=0
x²-3.6x+3.24=0
(x-1.8) ²=0
x-1.8=0 => x=1.8 cm
When you need to convert from one system of measurement to another, you should convert to the
A. metric system.
B. system that will have the highest number.
C. system that will have the smallest number
D. system used on the medication label.
help will give brainliest
Answer:
Quadrant 2
Step-by-step explanation:
The answer is quadrant two because the answer is in the form of -x,y. When the x is negative and the y is positive, it is always going to be in quadrant 2. As you can see in the image below, quadrant 1 is going to be all positive, quadrant two is going to be negative then positive, quadrant three is going to be all negative, and quadrant 4 is going to be positive then negative. Use this as a guide for the rest of your question. I hope this helps!
Categorize the graph as linear increasing, linear decreasing, exponential growth, or negative exponential growth. A. Exponential growth B. Linear increasing C. Linear decreasing D. Negative exponential growth
Answer:
D. Negative exponential growth
Answer:
D
Step-by-step explanation:
BIG BRAIN
Asap answer Needed (desperate)
Answer:
Part 1: [tex]2l+2w=34[/tex] Part 2: 10.5 Units
Step-by-step explanation:
We can find perimeter of a rectangle using formula [tex]2l+2w=P[/tex]. We are given [tex]w[/tex], which is 6.5. Put this into the equation.
[tex]2l+2(6.5)=342l+13=34\\2l=21\\l=10.5[/tex]
So, length(l) of the rectangle is 10.5 units.
Answer:
10.5
Step-by-step explanation:
The perimeter of rectangles is calculated by adding all lengths together
34 units = length + length + width +width
since width is given as 6.5 units
2l + 2 × 6.5 = 34 (l : length)
2l + 13 = 34
2l = 21
l = 10.5
Five times the difference of twice a number and nine is negative five. Find the number.
Answer:
x = 4
Step-by-step explanation:
Step 1: Write out the expression
5(2x - 9) = -5
Step 2: Solve for x
10x - 45 = -5
10x = 40
x = 4
Answer:
X=4 ANS.
PROOF:
5(2*4-11)=-15
5(8-11)=-15
5*-3=-15
-15=-15
Step-by-step explanation:
65.
Evaluate a-b+c for?
Answer:
From the problem, the answer to the equation is 5 1/10
Step-by-step explanation:
First, let's gather the information from the problem.
a = 4 1/5 (also can be turned into 21/5)
b = 2 7/20 (also can be turned into 47/20)
c = 3 1/4 (also can be turned into 13/4)
Now, plug in the numbers using the improper fractions.
21/5 - 47/20 + 13/4
Turn the denominators into the same number.
84/20 - 47/20 + 65/20
Subtract 84/20 and 47/20.
37/20 + 65/20
Add 37/20 and 65/20.
102/20 or 5 1/10
So, your answer to this equation is 5 1/10.
whats 2+2 fhelllllllll-pppppppppp
Answer:
4
Step-by-step explanation:
bwhwhehehhwjw hwhwbw
Answer:
4
Step-by-step explanation:
Hey guys please help me find x and measure of angle.
Hey there! :)
Answer:
m∠L = 80°.
Step-by-step explanation:
The shape pictured is a quadrilateral- all the interior angles sum up to 360°. Therefore:
360 - 100 - 100 - 80 = 80°.
The remaining angle has a measure of 80°.
Answer:
80 degrees
Step-by-step explanation:
Since opposite angles in a rhombus are congruent, angles L and N must have equal value. Therefore, L=N=80. Hope this helps!
A poll shows that 41% of voters in a city favor of a $0.01 tax increase. If 25 voters are selected at random, what is the probability that exactly 15 of them will vote in favor of
the initiative?
A. 0%
B. 1.2%
C. 2.6%
D. None of the choices are correct
Answer:
2.6% (Approx)
Step-by-step explanation:
Given:
Number of favor voter = 41% = 0.41
Random selected voters = 25
Exact favor voter = 15
Find:
Probability that exactly 15 will in favor.
Computation:
Number of non-favor voter = 1 - 0.41 = 0.59
Given question is a combination problem.
⇒ ²⁵C₁₅ × 0.41¹⁵ × 0.59¹⁰ =
⇒ 0.02598130
= 2.6% (Approx)
