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Naily [24]
3 years ago
5

What two numbers multiply together to give you -26 and add together to give you -11

Mathematics
1 answer:
ivolga24 [154]3 years ago
6 0

Answer:

-13 and 2

Step-by-step explanation:

xy= -26

x+y= -11

x= -11-y

y(-11-y) = -26

-y^2 -11y +26 = 0

y^2 +11y -26

(y+13)(y-2)

so -13 and 2

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Solve the inequality and graph the solution<br> 4x-5&gt;7
ohaa [14]

Answer:

x > 3

interval notation: (3, ∞)

Step-by-step explanation:

Given the inequality statement: 4x - 5 > 7,

The goal is to isolate x and find its solution.

Start by adding 5 to both sides:

4x - 5 + 5 > 7 + 5

4x > 12

Divide both sides by 4:

4x/4 > 12/4

x > 3

The solution can also be expressed in the following interval notation:

(3, ∞).

In terms of graphing, it involves an empty circle on the endpoint, x = 3, as it is not included as a solution. The solution to the given inequality statement must be greater than 3.  

5 0
3 years ago
Estimate the product of 23.725 ×6.25. then find the product why is it a good idea to estimate first
LuckyWell [14K]
It's 154.687 because first you have to line up the dot which is call and. And you going to add your place holder which is a 0 next to the 2 and the you times
8 0
3 years ago
The maximum value of the function: f(x)= -5 x ^2 +30x-200 is?
VARVARA [1.3K]

Answer:

\displaystyle    - 155

Step-by-step explanation:

we are given a quadratic function

\displaystyle f(x) =  - 5 {x}^{2}  + 30x - 200

we want to figure out the minimum value of the function

to do so we need to figure out the minimum value of x in the case we can consider the following formula:

\displaystyle x _{ \rm  min} =  \frac{ - b}{2a}

the given function is in the standard form i.e

\displaystyle f(x) = a {x}^{2}  + bx + c

so we acquire:

  • b=30
  • a=-5

thus substitute:

\displaystyle x _{ \rm  min} =  \frac{ - 30}{2. - 5}

simplify multiplication:

\displaystyle x _{ \rm  min} =  \frac{ - 30}{ - 10}

simply division:

\displaystyle x _{ \rm  min} =  3

plug in the value of minimum x to the given function:

\displaystyle f (3)=  - 5 {(3)}^{2}  + 30.3 - 200

simplify square:

\displaystyle f (3)=  - 5 {(9)}^{}  + 30.3 - 200

simplify multiplication:

\displaystyle f (3)=  - 45  + 90- 200

simplify:

\displaystyle f (3)=   - 155

hence,

the minimum value of the function is -155

5 0
3 years ago
a bus is full of passengers. if you count them by either twos, threes, or fives, there is one left. if you count them by seven t
devlian [24]

Answer:

91.

Step-by-step explanation:

The least number will be a multiple of 7 while the number - 1 will be a multiple of 2,3 and 5.

2*3*5 = 30  but 31 is not a multiple of 7.

2*2*3*5 = 60 but 61  is not divisible by 7.

2*3*3*5 = 90 and 91 is divisible by 7.

3 0
3 years ago
Name
kati45 [8]

Answer:

368 1-cup servings.

Step-by-step explanation:

Please see the attached file for explanation.

3 0
3 years ago
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