Answer:
1. ac = 36
2. b = 13
3. 4 and 9
Step-by-step explanation:
Given
6x² + 13x + 6
Required
Fill in the gaps
Solving (1): The value of AC
The general form of an equation is:
ax² + bx + c
By comparison:
a = 6
b = 13
c = 6
So,
ac = a * c
ac = 6 * 6
ac = 36
Solving (2): The value of b
In (1) above, we showed that
b = 13
Solving (3): Two numbers that satisfy product ac and sum b
We have that.
ac = 36
If one of the numbers is 4, then the other number is
Other number = 36/4
Other number = 9
Alternatively, we have that.
b = 13
If one of the numbers is 4, then the other number would be:
Other number = 13 - 4
Other number = 9
Answer:
ac = 36
b = 13
The two numbers that have a product of ac and a sum of b are 4 and 9
Step-by-step explanation:
two supplementary angles are in a ratio of 7:11. find the measures of each angle
Answer:
70° and 110°
Step-by-step explanation:
Supplementary angles sum to 180°
sum the parts of the ratio, 7 + 11 = 18 parts
Divide 180° by 18 to find the value of one part of the ratio.
180° ÷ 18 = 10° ← value of 1 part, thus
7 parts = 7 × 10° = 70°
11 parts = 11 × 10° = 110°
The 2 angles are 70° and 110°
Evaluate [7 - (2 - 5(4 - 7) + 6)] + 7
30
-20
-42
-9
None of the above
7−(2−5(4−7)+6)+7
=7−(2−(5)(−3)+6)+7
=7−(2−(−15)+6)+7
=7−(17+6)+7
=7−23+7
=−16+7
=−9
Thus, the answer is -9
Gabriel has these cans of soup in his kitchen cabinet.
• 2 cans of tomato soup
• 3 cans of chicken soup
• 2 cans of cheese soup
• 2 cans of potato soup
• 1 can of beef soup
Gabriel will randomly choose one can of soup. Then he will put it back and randomly choose another can of soup. What is the probability that he will choose a can of tomato soup and then a can of cheese soup?
Answer:
the answer is the chese soup has a good chance of being picked but not as good as the chicken soup. there would so 3:2 3 to 2. so if they picked the chese soup the first time then there is not a good chance of the chese soup to be picked again. I hope that helped if not et me know
Answer this please and fast
Answer:
The 3rd answer because each income has an outcome.
Step-by-step explanation:
Answer:
4th option is correct.
Someone help me pls!!!!
Answer:
it b
Step-by-step explanation:
Find the slope
Please help
Answer:
You have to find slope by doing rise over run. Which is y2-y1 over x2-x1.
Step-by-step explanation:
someone help me pleaseeee
Answer:
3 times 2 equal 5
Step-by-step explanation:
did the test and made 100
80 is what percent of 125?
The slope of the line passing through the points (7, 5) and (21, 15) is____.
How do I find the slope?
Answer:
m= 5/7
Step-by-step explanation:
In a lab experiment, 100 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 26 hours. How long would it be, to the nearest tenth of an hour, until there are 168 bacteria present?
9514 1404 393
Answer:
19.5 hours
Step-by-step explanation:
The number in the dish at time t (in hours) can be described by ...
n(t) = 100·2^(t/26)
We want to find t such that ...
n(t) = 168
100·2^(t/26) = 168
2^(t/26) = 1.68 . . . . . . divide by 100
(t/26)log(2) = log(1.68) . . . . . take logarithms
t = 26·log(1.68)/log(2) ≈ 19.459992 . . . . divide by the coefficient of t
t ≈ 19.5 . . . hours
It would be about 19.5 hours until there are 168 bacteria.
Complete the point- equation of the line through (5,2) and (6,-3)
0.5x + 0.25(x + 16) = 4 + 0.75x
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]0.5x + 0.25(x + 16) = 4 + 0.75x \\ [/tex]
[tex] \frac{1}{2} x + \frac{1}{4} (x + 16) = 4 + \frac{3}{4} x \\ [/tex]
[tex] \frac{1}{2} x + \frac{1}{4} x + \frac{16}{4} = 4 + \frac{3}{4} x \\ [/tex]
[tex] \frac{2}{4} x + \frac{1}{4}x + 4 = \frac{3}{4} x + 4 \\ [/tex]
[tex] \frac{3}{4} x + 4 = \frac{3}{4} x + 4 \\ [/tex]
The sides are exactly have like terms ,
Thus we have infinite solution for the equation.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
A video posted on the internet is becoming very popular, and the total number of views is increasing by 40% every hour. If the video currently has 74,300 views, how many views will it have in 9 hours?
Answer:
74304 approx.Step-by-step explanation:
Step one:
given data
current view of the video is marked at =74300
the rate of increase is 40%
let the number of hours be x
and let the total views be y
hence the linear function for the total is
y=0.4x+74300
Required is the value of y when x=9
Step two:
substitute x=9
y=0.4(9)+74300
y=3.6+74300
y=74303.6
y=74304 approx.
The mean number of robberies per month in a certain town is 3. What is the probability that in any given month 5 robberies will occur in this town?
0.01
0.14
0.265
0.916
Answer:
i think its c but not 100% tbh
Step-by-step explanation:
How much is 2% of 3.50
Answer:
.07
Step-by-step explanation:
3.50 * 2% = .07
or
3.50 * .02 = .07
Kinda stuck on this question. Anyone can help! Thanks!
Answer:
D. 308
Hope This Helps!
Answer: your answer is D-please look below for an explanation!
Step-by-step explanation: here are the steps to find it using long division:
step 1: write out your problem-
step 2: see how many times go into 2156
step 3: write your answer out then choose
your answer is option D(308)
hope this helped! please give me a thx and brainliest!
HELP WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
huh
ok
....................................
Find the x and y intercept of
-x-4y=16.
PLEASE HELP ASAP
The graph of which function has an axis of symmetry at x = one-quarter?
A: f(x) = 2x2 + x – 1
B: f(x) = 2x2 – x + 1
C: f(x) = x2 + 2x – 1
D: f(x) = x2 – 2x + 1
Answer:
its A) f(x)= 2[tex]x^{2}[/tex]+x-1
Step-by-step explanation:
Answer: A sounds correct
Step-by-step explanation:
Solve -4h - 3 > 4 for h.
will give you brainliest
Answer:
h<-7/4
Step-by-step explanation:
Explain how you would trace an argument. (1 point)
A. You would trace an argument by seeing if the reasons and evidence are
relevant in their support of the claim.
B. You would trace an argument by determining if the claim is true based on
the writer's different opinions.
C. You would trace an argument by seeing if the counterclaim provides
enough evidence and support for the topic.
D. You would trace an argument by deciding if
you agree with the stance that
the writer chose for the topic.
Answer:
A. You would trace an argument by seeing if the reasons and evidence are relevant in their support of the claim.
Step-by-step explanation:
The tracing of an argument should be seen when the reasons & evidence should be relevant for supporting the claim.
The following information should not be considered:
When the claim is true and depend upon the different writer opinion. When there is counterclaim and it gives sufficient evidence.When the writer choose for the topic.Therefore we can conclude that the first option is correct.
Learn more: brainly.com/question/17429689
81-1 1/5 x < 55
please help i need help fast
Step-by-step explanation:
81 - 1.2x < 55
81 < 55 + 1.2x (add 1.2x to both sides)
1.2x > 26 (subtract 55 from both sides)
x > 21 2/3.
A teacher buys 5 pizzas. Each slice is 1/8 of a pizza. How many slices are there in total?
1/40 slice
4 slices
20 slices
40 slices
Answer:
40 slices
Step-by-step explanation:
Each slice = 1/8 pizza
Pizza = 8 slices
5 pizza = 5 x 8 slices
5 pizza = 40 slices
The total number of slices in 5 pizzas if each slice is 1/8 of a pizza is 40 slices
Solving equationTotal pizza bought = 5Each slice = 1/8Total slices of pizza = Total pizza bought ÷ Each slice
= 5 ÷ 1/8
= 5 × 8/1
= 40 slices
Therefore, the total number of slices in 5 pizzas if each slice is 1/8 of a pizza is 40 slices
Learn more about equation:
https://brainly.com/question/2972832
A circle has a diameter of 32 m. What is its circumference?
Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
[tex]C=32(3.14)=100.48\text{ meters}[/tex]
Step-by-step explanation:
We know that the circle has a diameter of 32 meters.
And we want to find its circumference.
The circumference of a circle is given by the formula:
[tex]C=\pi d[/tex]
Where d is the diameter.
So, we will substitute 32 for d and we will use 3.14 for π. Hence, our circumference will be:
[tex]C=32(3.14)=100.48\text{ meters}[/tex]
Answer:
100.48 m
Step-by-step explanation:
C=2(3.14)r
C=2(3.14)(16)
C= 100.48 m
In what ways do you follow a healthy diet?
Considerando las siguientes variables a = ancho y l = longitud, determina su valor, si se sabe que se cuenta con un rectángulo que tiene como perímetro 35 metros, y se sabe que el doble de su ancho es igual a 3 veces su longitud.
Answer:
La longitud = 7 metros
La anchor = 10.5 metros
Step-by-step explanation:
La fórmula para el perímetro de un rectángulo es
P = 2L + 2W
L = longitud
A = ancho
P = 35 metros
se sabe que el doble de su ancho es igual a 3 veces su largo.
2A = 3L
Ancho = 3L / 2 = 1.5L
Sustituimos 1.5L por W
35 = 2 L + 2 (1.5 L)
35 = 2L + 3L
35 = 5 litros
L = 35/5
L = 7 metros
Por lo tanto, la longitud = 7 metros
Recuerda
A = 1.5 L
A = 1.5 × 7
A = 10.5 metros
La anchor = 10.5 metros
Interest = $ 6400, rate = 4% time = 5 years ( if you don't know don't answer) please solve it correctly
Answer:
principal=32000
Step-by-step explanation:
I=p×r×t/100
6400=p×4×5/100
640000=p×20
p=32000
15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:
Answer:
might be b but I'm not 100% sure so sorry if it's wrong
a carnival booth duck game offer cash prizes. the booth at 75 plastic ducks floating around in a wading pool. 4 ducks have a green stars on the underside, and you win $10 for selecting a duck with a green star. it costs $1 to select a duck. is this a fair game?
Answer:
No, it is not fair
Step-by-step explanation:
Here, we want to check if this is a fair game
To win a sum, a duck with a green star on the underside must be selected
The number of ducks with this is 4 out of 75
The probability of selecting one is 4/75
The expected value of selecting is ;
4/75 * 10 = 0.5333
The cost of selecting a duck is $1
The probability that a duck that wins will not be selected is 71/75 which at a price of $1 is 0.9467
Since the price to lose and the amount to win is not the same, then the game is not fair
are are 11 books on a short 4 of these books are new. The rest of them are used. (a) What is the ratio of used books to all books on the shelf? () What is the ratio of used books to new books?
Answer:
a) 7:11 b) 7:4 hope this helps