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Scilla [17]
3 years ago
11

The following line graph shows the number of hours that Todd and Brianna slept each night over the past week. On which night was

there the largest difference between the number of hours they slept?
Sunday
Tuesday
Wednesday
Thursday

Mathematics
2 answers:
NeX [460]3 years ago
6 0

The answer is Thursday because you can see the biggest difference between the data. That night Brianna slept the most and todd slept the least.

bija089 [108]3 years ago
5 0

Thursday would be the answer because u look at the numbers on far left then look at the two points and that would be the biggest difference

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Paws at play made a total of $1,234 grooming 22 dogs. Paws at play charges $43 to groom each small dog and $75 for each large do
Nesterboy [21]

Answer:

The system of equation can be used for determine the number of small and the large dogs groomed are

x + y = 22

43x + 75y = 1234

Step-by-step explanation:

Let us assume that the number of small dogs groomed be x.

Let us assume that the number of lagre dogs groomed be y.

As given

Paws at play made a total of $1,234 grooming 22 dogs.

Than the equation becomes

x + y = 22

Paws at play charges $43 to groom each small dog and $75 for each large dog.

Than the equation becomes

43x + 75y = 1234

Therefore the system of equation can be used for determine the number of small and the large dogs groomed are

x + y = 22

43x + 75y = 1234


4 0
3 years ago
Consider the graph of f(x) = x is shifted up 8 units, what would be the equation of the new graph?
anygoal [31]
F(x) = x + 8

This is because you are simply moving the y-intercept up 8 units.

Please consider marking this answer as Brainliest to help me advance.
5 0
3 years ago
Which type of function is shown in the table below?​
lora16 [44]
Answer: Exponential table
3 0
3 years ago
X^-2+4x^-1+3=0 solve by making appropriate substitution
Alex

ANSWER

x =  - 1 \: or \: x =  -  \frac{1}{ 3}

EXPLANATION

The given equation is:

{x}^{ - 2}  + 4 {x}^{ - 1}  + 3 = 0

Recall that:

{a}^{ - m}  =  \frac{1}{ {a}^{m} }

\frac{1}{ {x}^{2} }  +  \frac{4}{x}  + 3 = 0

Or

{( \frac{1}{x} )}^{2}  + 4( \frac{1}{x} ) + 3 = 0

Let

u =  \frac{1}{x}

Our equation then becomes:

{u}^{2}  + 4u + 3 = 0

The factors of 3 that add up to 4 are:

{u}^{2}  + 3u + u + 3

u(u + 3) + 1(u + 3) = 0

(u + 1)(u + 3) = 0

u + 1 = 0 \: or \: u + 3 = 0

u =  - 1 \: or \: u =  - 3

This implies that:

\frac{1}{x}  =  - 1 \: or \:  \frac{1}{x}  =  - 3

x =  - 1 \: or \: x =  -  \frac{1}{ 3}

7 0
3 years ago
Which binomial is a factor of 49x^2+84xy+36y^2
sweet-ann [11.9K]

7x + 6y is a binomial that is a factor of given equation

<em><u>Solution:</u></em>

A binomial is a mathematical expression which has only two terms

<em><u>Given expression is:</u></em>

49x^2 + 84xy + 36y^2

We have to find the binomial that is a factor to given expression

Let us find the factors of given equation

49x^2+84xy+36y^2\\\\\mathrm{Rewrite\:}49x^2+84xy+36y^2\mathrm{\:as\:}\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2\\\\\mathrm{Rewrite\:}49\mathrm{\:as\:}7^2\\\\7^2x^2+84xy+36y^2\\\\\mathrm{Rewrite\:}36\mathrm{\:as\:}6^2\\\\7^2x^2+84xy+6^2y^2\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^mb^m=\left(ab\right)^m\\\\7^2x^2=\left(7x\right)^2\\\\Therefore,\\\\\left(7x\right)^2+84xy+6^2y^2\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^mb^m=\left(ab\right)^m\\\\6^2y^2=\left(6y\right)^2\\\\

Therefore\\\\\left(7x\right)^2+84xy+\left(6y\right)^2\\\\\mathrm{Rewrite\:}84xy\mathrm{\:as\:}2\cdot \:7x\cdot \:6y\\\\\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2\\\\\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2\\\\

\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2\\\\a=7x,\:b=6y\\\\Therefore,\\\\\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2 = \left(7x+6y\right)^2

Thus we get,

49x^2 + 84xy + 36y^2 = (7x+6y)^2\\\\49x^2 + 84xy + 36y^2 =  (7x+6y)(7x+6y)

Thus the binomial which is a factor is 7x + 6y

6 0
3 years ago
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