Solve the equation by factoring. z2 – 6z – 27 = 0
z = –3 or z = 9
z = –3 or z = –9
z = 3 or z = –9
z = 3 or z = 9
Answer:
The value of z = -3 or z = 9
Step-by-step explanation:
Given equation => z² – 6z – 27 = 0
=> z² - 9z + 3z - 27 = 0
=> z(z -9 ) +3 (z - 9 ) = 0
=> (z + 3) (z - 9)
=> z = -3 or z = 9
Answer:z = –3 or z = 9
Step-by-step explanation:
i need help with my math homework what is 234234x3432
Which is the BEST description of the data in the scatterplot?
Answer:
2. linear with a negative correlation
Which sum does the model below represent?
+
+
+
+
ĐO
oo ooo
0 4+(-7) = -3
O 4+ 7 = 11
O 8+(-3) = 4
O 11+ (-4) = -3
Answer:
THIS ANSWER IS CORRECT
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Step-by-step explanation:
BRAIN LESS ANSWER
Select all of the statements that are true, according to the box plots.
A. The weights of the pineapples in Crate 1 were the most variable.
B. The heaviest pineapple was in Crate 1.
C. The lightest pineapple was in Crate 1.
D. Crate 3 had the greatest median weight and the greatest IQR.
E. More than half the pineapples in Crate 1 and Crate 3 were heavier than the heaviest pineapple in Crate 2.
Answer:
The heaviest pineapple was in Crate 1.
More than half the pineapples in Crate 1 and Crate 3 were heavier than the heaviest pineapple in Crate 2.
Step-by-step explanation:E.
Find the missing number in the following fraction calculation
/7 ÷10 =3/35
x=6
Step-by-step explanation:
x ÷ 7 ÷10 = 3/35
(Use trial & error - since I knew x<7)
6/7 ÷ 10 = 3/35
Or
3/35 x 10
(then, simplify it to 6/7 or ÷ that by 1/7 to get 6)
Hope this helps!
Ted used a $150 check to pay for some books. Where in his checkbook register should he write this amount?
A. in the PAYMENT or WITHDRAWAL AMOUNT column
B. in the DEPOSIT AMOUNT column
C. in the BALANCE column
D. in the FEE column
i don't have much time left could someone help me super quickly (trinomials) btw you could get extra 50 points from a previous question on my profile (only if you want) i would really appreciate if i could have help understanding things
Answer:
(a) [tex](x-2)(x+4)[/tex]
zeros: x = 2, x = -4
vertex: (-1, -9)
(b) [tex]-(x+2)(x+7)[/tex]
zeros: x = -2, x = -7
vertex = (-4.5, 6.25)
Step-by-step explanation:
To factor a quadratic in the form [tex]ax^2+bx+c[/tex]:
Find 2 two numbers (d and e) that multiply to [tex]ac[/tex] and sum to [tex]b[/tex]Rewrite [tex]b[/tex] as the sum of these 2 numbers: [tex]d+e=b[/tex]Factorize the first two terms and the last two terms separately, then factor out the comment term.To find zeros of a factored quadratic in the form [tex](ax+b)(cx+d)[/tex]
Set each of the parentheses to zero and solve for [tex]x[/tex]The midpoint between the two zeros is the x-coordinate of the vertex. To find the y-coordinate of the vertex, substitute this into the given equation.
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Question (a)
Factored
Factor [tex]y=x^2+2x-8[/tex]
[tex]ac=-8[/tex] and [tex]d+e=2[/tex]
[tex]\implies d=4[/tex] and [tex]e=-2[/tex]
Rewrite [tex]2x[/tex] as [tex]+4x-2x[/tex]:
[tex]\implies x^2+4x-2x-8[/tex]
Factorize the first two terms and the last two terms separately:
[tex]\implies x(x+4)-2(x+4)[/tex]
Factor out common term [tex](x+4)[/tex]:
[tex]\implies (x-2)(x+4)[/tex]
Zeros
[tex]\implies (x-2)=0\implies x=2[/tex]
[tex]\implies (x+4)=0\implies x=-4[/tex]
Vertex
[tex]\sf x-value=\dfrac{2+(-4)}{2}=-1[/tex]
[tex]\sf y-value=(-1)^2+2(-1)-8=-9[/tex]
Vertex = (-1, -9)
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Question (b)
Factor [tex]y=-x^2-9x-14[/tex]
[tex]ac=14[/tex] and [tex]d+e=-9[/tex]
[tex]\implies d=-7[/tex] and [tex]e=-2[/tex]
Rewrite [tex]-9x[/tex] as [tex]-7x-2x[/tex]:
[tex]\implies -x^2-7x-2x-14[/tex]
Factorize the first two terms and the last two terms separately:
[tex]\implies -x(x+7)-2(x+7)[/tex]
Factor out common term [tex](x+7)[/tex]:
[tex]\implies (-x-2)(x+7)[/tex]
Factor [tex](-x-2):-(x+2)[/tex]
[tex]\implies -(x+2)(x+7)[/tex]
Zeros
[tex]\implies -(x+2)=0\implies -x-2=0 \implies x=-2[/tex]
[tex]\implies (x+7)=0\implies x=-7[/tex]
Vertex
[tex]\sf x-value=\dfrac{-2-7}{2}=-4.5[/tex]
[tex]\sf y-value=-(-4.5)^2-9(-4.5)-14=6.25[/tex]
Vertex = (-4.5, 6.25)
find the volume please thanks
answer:
volume= lwh
= 20*12*8
= 1920 cm³
Please help me understand the question
Answer:
a and c
Step-by-step explanation:
What is the approximate volume of the sphere shown?
r= 13 inches
o 527 cubic inches
o 7327 cubic inches
o 2,9297 cubic inches
0 2,1977 cubic inches
< Previous
Answer:
2,197 is D
Explanation:
4/3 * 3.14 * 13^3 =
2,197
A plane travels at a speed of 205mph in still air. Flying with a tailwind, the plane is clocked over a distance of 550 miles. Flying against a headwind, it takes 1
hour longer to complete the return trip. What was the wind velocity? (Round your answer to the nearest tenth.)
Answer:
55.5 mph
Step-by-step explanation:
Time period of flight
Distance travelled / Speed of plane550 miles / 205 mph2.68 hoursReturn trip flight speed
Distance travelled / Time taken550 miles / 2.68 + 1 hours550 miles / 3.68 hours149.46 mphWind velocity
Original speed - Speed on return trip205 - 149.4655.5455.5 mphLuke and Ella have money in their bank account in the ratio 7:8
Luke gives £2 to Ella, and the ratio becomes 4:5.
Work out the original amount of money that Ella had.
Answer:
$48
Step-by-step explanation:
Ratios can be written as fractions.
1) Initially, Luke had 7x money, Ella had 8x money. Luke gives $2 to Ella. So, Luke now has 7x - 2 money and Ella has 8x + 2. The total amount of money is 4:5. These could be shown as fractions.
7x - 2/8x + 2 = 4/5
4(8x + 2) = 5(7x - 2)
32x + 8 = 35x - 10
8 + 10 = 35x - 32x
18 = 3x
18/3 = x
x = 6
2) Substitute the result (x = 6) into 7x:8x.
= 7(6)
= 42
= 8(6)
= 48
What is the sum of the
greatest common factor and the least common
multiple of 4 and 10?
A 18
B 20
C 22
D 24
Answer:
C
Hope This Helps! :) Please Give Brainliest if this does!
Allie has a round tablecloth with a radius of 2 meters. What is the tablecloth's circumference?
Pls help give brainlest
Answer:
problem 18=E
problem 20= 135
problem 19= 14
problem 21= -2
problem 22= 0.5
You are training your dog to catch a frisbee. You are playing in a large field, and you are standing next to your dog when you throw the frisbee. If the path of the frisbee is y = –x2 + 8x + 7 and the path of the dog is modeled by y = 2x + 7, will the dog catch the frisbee? If so, what are the coordinates of the point or points where they meet?
Yes, they intersect at the coordinates (0, 7) and (3, 13)
Yes, they intersect at the coordinates (0, 7) and (6, 19)
Yes, they intersect at the coordinates (0, 7) and (7, 21)
No, the paths do not cross
Answer:
Yes, they intersect at the coordinates (0, 7) and (6, 19)
Step-by-step explanation:
[tex]y = -x^2 + 8x + 7\\y = 2x + 7\\y = y\\-x^2 + 8x + 7 = 2x + 7\\-x^2+ 6x = 0\\x^2 - 6x = 0\\x(x - 6) = 0\\x = 0\ \ \text{or}\ \ x = 6\\[/tex]
[tex]\text{if}\ x = 0\\y = 2x + 7\\y = 2(0) + 7 = 7\\\text{coordinate is:}\ (0, 7)[/tex]
[tex]\text{if}\ x = 6\\y = 2x + 7\\y = 2(6) + 7 = 12 + 7 = 19\\\text{coordinate is:}\ (6, 19)[/tex]
Answer:
B. Yes, they intersect at the coordinates (0, 7) and (6, 19)
Step-by-step explanation:
I took the Algebra exam
could someone help me super fast? no fake answers please
optionally could someone help me too with any of the other questions on my profile they are worth 50 points each too
Answer:
(a) graph iii)
(b) graph v)
(c) graph ii)
(d) graph iv)
Step-by-step explanation:
All given equations are in vertex form: y = (x - h)² + k
where (h, k) is the vertex of the parabola
The vertex is the turning point of the parabola, so the minimum point for parabolas that open upward, and the maximum point for parabolas that open downward.
Vertices of the given graphs:
i) (-3, 2)
ii) (-3, -2)
iii) (2, 3)
iv) (3, 2)
v) (-2, -3)
vi) (2, -3)
Part (a)
Given equation: y = (x - 2)² + 3
Therefore, the vertex is (2, 3) → graph iii)
Part (b)
Given equation: y = (x + 2)² - 3
Therefore, the vertex is (-2, -3) → graph v)
Part (c)
Given equation: y = (x + 3)² - 2
Therefore, the vertex is (-3, -2) → graph ii)
Part (d)
Given equation: y = (x - 3)² + 2
Therefore, the vertex is (3, 2) → graph iv)
Vertex form of parabola having vertex (h,k)
y=a(x-h)²+k#1
y=a(x-2)²+3Vertex (2,3)
Graph III#2
y=(x+2)²-3Vertex (-2,-3)
Graph V#3
y=(x+3)²-2Vertex (-3,-2)
Graph II#4
y=(x-3)²+2Vertex (3,2)
Graph IVWhat percent of 50 (is)40?
Answer:
80% :)
Step-by-step explanation:
We divide to solve this!!
40/50 = 0.8
Now multiply to get a percent!!
0.8 x 100 = 80%
Have an amazing day!!
Please rate and mark brainliest!!
What is the vertex of angle 1
Answer:
b
Step-by-step explanation:
Answer:
i believe it be
Step-by-step explanation:
correct me if its wrong
Simplifying please help i don’t know how to do this
Answer:
8,400
Step-by-step explanation:
840*10^1 = 8400
Answer:
8400
Step-by-step explanation:
840 * 10 = 8400
When multiplying by 10 in this scenario, simply add a zero to the end of the number.
Hewo
My question:
1/2÷4 but if you could! draw a model plsss
Answer:
0.125
Step-by-step explanation:
So since we have 1/2 we will convert that to half of a pie... (the half circle)
We need to divide by four so we take that half of a pie and slice it into four parts... each part is now equivalent to our answer...
Equation... (as follows)
0.50 / 4 = 0.125
to check our work 0.125 x 4 = 0.50...
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
For the pair of functions, find the quotient (f/g)
Two binomials that have a product of y^2 - 1
Answer:
(y-1) x (y+1)
Step-by-step explanation:
Write the number in the exponential
form with an exponent of 2
Use a² - b² = (a - b)(a +b) to factor the expression
5What is 20% of 50cm
Answer:
20% of (50 cm)= 10 Centimeters
Step-by-step explanation:
calculator!
Answer:
10 cm
[tex]20 \div 100 \times 50\% = 10cm[/tex]
100 POINTS
What is the best name of the solid that can be formed by this net?
A. cube
B. cylinder
C. rectangular prism
D. square prism
Answer: rectangular prism
Step-by-step explanation:
Answer:
rectangular prism
Step-by-step explanation:
Find the area of the figure.EXPLAIN THE STEPS!!!!!
Answer:
Explanation:
So you want to start by finding the area of the big square.
We know the width of the big square is 60cm. The length of the big square is
19
+
24
+
13
=
56
Big square
A
r
e
a
=
L
⋅
W
=
56
⋅
60
=
3360
Now let’s find the little square inside the bigger square. We see from the picture that the width is 34 and the length is 24cm. Using the same formula, we can find the area of the little square.
Little square
A
r
e
a
=
L
⋅
W
=
24
⋅
34
=
816
The area is enclosed in the area of the big square minus the area of the little square.
3360
−
816
=
2544
So the area enclosed is
2544
c
m
2
Step-by-step explanation:
1. [15 points] An electric company makes motors for a variety of applications. Its two plants ship their production to three dealers. The production hours available in the plants for the second quarter vary because of downtime for scheduled maintenance on equipment: Plant April May June A 400 360 360 B 425 350 375 Plant A requires 20 hours to produce a motor. Plant B requires 25. Because B is older and less efficient, production costs are $100 more per motor in B than in A. Shipping costs from the plants to the dealers and orders for the quarter are show below Monthly Shipping orders costs from Dealer April May June A B 1 12 9 11 45 60 2 10 12 8 50 70 3 8 11 12 75 40 Building ahead and stockpiling of motors is possible with a cost of $55 per month. Orders that are not shipped in the month requested are subject to a contractual penalty of $80 per month. At the end of June all orders need to be satisfied. Formulate an LP problem that can determine a production schedule to meet the demands for the motors with the minimum total of shipping, storage, penalty and production differential costs.
PLEASE HELPPP!!! ILL GIVE BRAINLIEST!!!
Answer:
240 ft²the explanation is in the picture
A cuboid with a volume of 374cm^3 has dimensions 2cm,(x+3)cm and (x+9)cm
Please help me get the full 7 marks
Answer:
x² + 12x - 160 = 0
x = 8 or x = -20
The dimensions are 2 cm, 11 cm, 17 cm.
Step-by-step explanation:
The volume of the cuboid is the product of the three dimensions.
volume = 2(x + 3)(x + 9)
volume = 2(x² + 12x + 27)
volume = 2x² + 24x + 54
We are told the volume equals 374 cm³.
2x² + 24x + 54 = 374
2x² + 24x - 320 = 0
x² + 12x - 160 = 0
(x - 8)(x + 20) = 0
x - 8 = 0 or x + 20 = 0
x = 8 or x = -20
We do not use x = -20 because it would cause two dimensions to be negative which cannot be.
x = 8
x + 3 = 8 + 3 = 11
x + 9 = 8 + 9 = 17
The dimensions are 2 cm, 11 cm, 17 cm.