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RideAnS [48]
2 years ago
15

1.)$3 for bagels; &9 for 24 bagels

Mathematics
1 answer:
Inessa05 [86]2 years ago
4 0
3 dollars for bagels and 9 dollars for 24 dollar bagels
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What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where
Setler79 [48]

Answer:

k=-16,k=-8,k=8,k=16

Step-by-step explanation:

We are given quadratic equations as

x^2+kx+15

and it can be factored as

=(x+a)(x+b)

now, we can multiply factor term

(x+a)(x+b)=x^2+(a+b)x+ab

now, we can compare

x^2+(a+b)x+ab=x^2+kx+15

so, we get

k=a+b

ab=15

we are given that

'a' and 'b' are integers

so, we can find all possible factors

15=(-1\times -15),(1\times 15)

15=(-3\times -5),(3\times 5)

so, we can find k

At (-1\times -15):

k=a+b

we can plug values

k=-1-15

k=-16

At (1\times 15):

k=a+b

we can plug values

k=1+15

k=16

At (-3\times -5):

k=a+b

we can plug values

k=-3-5

k=-8

At (3\times 5):

k=a+b

we can plug values

k=3+5

k=8

So, values of k are

k=-16,k=-8,k=8,k=16

6 0
3 years ago
If 3t - 7 = 5t, then 6t = <br> A. 21 <br> B. -7 <br> C. -21<br> D. -42
podryga [215]

Answer:

C. -21 is your answer

Step-by-step explanation:

Solve for t. Isolate the variable t in the first equation, then use the number gotten to solve the second equation.

3t - 7 = 5t

First, subtract 3t from both sides

3t (-3t) - 7 = 5t (-3t)

-7 = 5t - 3t

-7 = 2t

Isolate the variable (t). Divide 2 from both sides

(-7)/2 = (2t)/2

t = -7/2

t = -3.5

Plug in -3.5 for t in the second equation

6(t) =

6(-3.5) =

6(-3.5) = -21

C. -21 is your answer

~

6 0
2 years ago
What is 1/4x24 I need help
ZanzabumX [31]

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{6}}}}}

Step-by-step explanation:

\sf{ \frac{1}{4}  \times 24}

Multiply the numerators for the numerator , and multiply the denominators for its denominator and reduce the fraction obtained after Multiplication into lowest term

\dashrightarrow{ \sf{ \frac{1 \times 24}{4 \times 1}}}

\dashrightarrow{ \sf{ \frac{24}{4}}}

\dashrightarrow{ \sf{6}}

Hope I helped!

Best regards! :D

7 0
3 years ago
HELP ASP Lucy has a jewelry business. To make a certain necklace, she spends $3.38 on materials and $5.57 on labor. She then sel
Nataliya [291]

5.57 + 3.38 =
$8.95
15.99 - 8.95 = 7.04
4 0
3 years ago
Write the equation in slope-intercept form of a line that has a slope of 1/3 and passes through the point (-6, 0).
Vesna [10]

Answer: y = 1/3x +2

Step-by-step explanation:

The equation of line in slope - point form is given as:

y - y_{1} = m ( x - x_{1} )

m = 1/3

y_{1} = 0

x_{1} = -6

substituting into the formula , we have

y - 0 = 1/3 ( x - {-6} )

y = 1/3 (x+6)

y = 1/3x +2

5 0
3 years ago
Read 2 more answers
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